Download Geometry Unit 2 Practice Exam

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ID: A
Geometry Unit 2 Practice Exam
Short Answer
1. Judging by appearance, name an acute angle, an obtuse angle, and a right angle.
2. What are the measures of FBD and ABC ? Classify each angle as acute, right, obtuse, or straight.
3. Complete the statement.
DEF  ?
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Name: ________________________
ID: A
4. Complete the statement.
The drawing is not to scale.
If mDFG 64º, then mDFE  ? .
5. If mAOC  61, mBOC  2x  10, and mAOB  4x  15, find the degree measure of BOC and AOB.
The diagram is not to scale.
6. If mDEF  127, then what are mFEG and mHEG? The diagram is not to scale.
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Name: ________________________
ID: A
7. If mEOF  31 and mFOG  30, then what is the measure of EOG? The diagram is not to scale.
8. Name an angle supplementary to BOE.
9. Name an angle complementary to DOC.
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Name: ________________________
ID: A
10. Name an angle vertical to FGI.
11. Name an angle adjacent to DGF.
12. Supplementary angles are two angles whose measures have a sum of ____.
Complementary angles are two angles whose measures have a sum of ____.
13. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a
common vertex, and no common interior points are called ____ angles.
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Name: ________________________
ID: A
14. What can you conclude from the information in the diagram?
15. The complement of an angle is 45°. What is the measure of the angle?
16. DFG and JKL are complementary angles. mDFG = x  2, and mJKL = x  6 . Find the measure of each
angle.
17. 1 and 2 are a linear pair. m1  x  32, and m2  x  74. Find the measure of each angle.
18. Angle A and angle B are a linear pair. If mA  3mB, find mA and mB.


19. SQ bisects RST , and mRSQ  3x  6. Write an expression for RST . The diagram is not to scale.


20. MO bisects LMN, mLMO  8x  24, and mNMO  3x  31. Solve for x and find mLMN. The
diagram is not to scale.
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Name: ________________________
ID: A


21. MO bisects LMN , mLMN  5x  22, mLMO  x  34. Find mNMO. The diagram is not to scale.
22. What is the value of x?
23. What is the value of x?
24. m1  120. Find m3.
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Name: ________________________
ID: A
25. Find the values of x and y.
26. What four segments are parallel to plane KLMJ?
27. What four segments are perpendicular to plane JKPN?
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Name: ________________________
ID: A
Use the diagram to find the following.
28. Identify a pair of same-side interior angles.
29. What are three pairs of corresponding angles?
30. What is the relationship between 1 and 8?
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Name: ________________________
ID: A
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both
runways.
31. How are 6 and 3 related?
32. If 8 measures 123, what is the sum of the measures of 1 and 4?
33. Line r is parallel to line t. Find m5. The diagram is not to scale.
34. Find mQ. The diagram is not to scale.
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Name: ________________________
ID: A
35. Find mG. The diagram is not to scale.
36. Find mP. The diagram is not to scale.
37. Find the value of x. The diagram is not to scale.
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Name: ________________________
ID: A
38. Find the value of x. The diagram is not to scale.
39. Find the values of x and y. The diagram is not to scale.
40. Which lines are parallel if m3  m6? Justify your answer.
41. Find the value of x for which p is parallel to q, if m1  2x and m3  122.The diagram is not to scale.
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Name: ________________________
ID: A
42. Find the value of x for which l is parallel to m. The diagram is not to scale.
43. Find the value of x for which l is parallel to m. The diagram is not to scale.
44. Each tie on the railroad tracks is perpendicular to both of the tracks. What is the relationship between the two
tracks? Justify your answer.
45. Each sheet of metal on a roof is parallel to the rest of the sheets of metal. If the first
sheet of metal is perpendicular to the top line of the roof, what can you conclude
about the rest of sheets of metal? Justify your answer.
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Name: ________________________
ID: A
46. Find the value of k. The diagram is not to scale.
47. Find the values of x, y, and z. The diagram is not to scale.
48. Find the value of x. The diagram is not to scale.
49. Find the value of x. The diagram is not to scale.
Given: SRT  STR, mSRT  34, mSTU  2x
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Name: ________________________
ID: A
50. Find the value of x. The diagram is not to scale.
51. A triangular playground has angles with measures in the ratio 4 : 9 : 5. What is the measure of the smallest
angle?
52. The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 25 and m3
is 78. Find m1. The diagram is not to scale.
53. A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
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ID: A
Geometry Unit 2 Practice Exam
Answer Section
SHORT ANSWER
1. ANS:
P, R, T
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
OBJ: 1-4.1 Find and compare the measures of angles
TOP: 1-4 Problem 2 Measuring and Classifying Angles
KEY: acute angle | right angle | obtuse angle
DOK: DOK 2
2. ANS:
mFBD  74; FBD is acute.
mABC  180; ABC is straight.
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
OBJ: 1-4.1 Find and compare the measures of angles
TOP: 1-4 Problem 2 Measuring and Classifying Angles
KEY: acute angle | right angle | obtuse angle
DOK: DOK 2
3. ANS:
DGF
PTS:
OBJ:
TOP:
DOK:
4. ANS:
64º
1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
1-4 Problem 3 Using Congruent Angles
KEY: congruent angles
DOK 2
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
OBJ: 1-4.1 Find and compare the measures of angles
TOP: 1-4 Problem 3 Using Congruent Angles
KEY: congruent angles
DOK: DOK 2
5. ANS:
mBOC  32; mAOB  29
PTS:
OBJ:
TOP:
DOK:
1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
1-4 Problem 4 Using the Angle Addition Postulate
KEY: Angle Addition Postulate
DOK 2
1
ID: A
6. ANS:
mFEG  53, mHEG  127
PTS:
OBJ:
TOP:
DOK:
7. ANS:
61
1
DIF: L3
REF: 1-4 Measuring Angles
1-4.1 Find and compare the measures of angles
1-4 Problem 4 Using the Angle Addition Postulate
KEY: Angle Addition Postulate
DOK 2
PTS: 1
DIF: L3
REF: 1-4 Measuring Angles
OBJ: 1-4.1 Find and compare the measures of angles
TOP: 1-4 Problem 4 Using the Angle Addition Postulate
KEY: Angle Addition Postulate
DOK: DOK 2
8. ANS:
COB
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles DOK:
DOK 1
9. ANS:
COB
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles DOK:
DOK 1
10. ANS:
HGE
PTS:
OBJ:
STA:
KEY:
11. ANS:
FGI
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
vertical angles
DOK:
DOK 1
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
vertical angles
DOK:
DOK 1
2
ID: A
12. ANS:
180; 90
PTS: 1
DIF: L2
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
KEY: supplementary angles | complementary angles
DOK: DOK 1
13. ANS:
vertical; adjacent
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 1 Identifying Angle Pairs
KEY: adjacent angles | vertical angles
DOK: DOK 1
14. ANS:
1. AB  CB
2. EC  ED
3. ECD and ACB are vertical angles
PTS:
OBJ:
STA:
KEY:
DOK:
15. ANS:
45°
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
TOP: 1-5 Problem 2 Making Conclusions From a Diagram
vertical angles | supplementary angles | adjacent angles | right angle | congruent segments
DOK 1
PTS: 1
DIF: L2
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 3 Finding Missing Angle Measures
KEY: complementary angles DOK:
DOK 1
16. ANS:
DFG = 49, JKL = 41
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 3 Finding Missing Angle Measures
KEY: complementary angles DOK:
DOK 2
17. ANS:
1  37, 2  143
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
TOP: 1-5 Problem 3 Finding Missing Angle Measures
supplementary angles| linear pair
DOK: DOK 2
3
ID: A
18. ANS:
135, 45
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 3 Finding Missing Angle Measures
KEY: linear pair | supplementary angles
DOK: DOK 2
19. ANS:
6x – 12
PTS: 1
DIF: L3
REF: 1-5 Exploring Angle Pairs
OBJ: 1-5.1 Identify special angle pairs and use their relationships to find angle measures
STA: MA.912.G.4.2
TOP: 1-5 Problem 4 Using an Angle Bisector to Find Angle Measures
KEY: angle bisector
DOK: DOK 2
20. ANS:
x = 11, mLMN  128
PTS:
OBJ:
STA:
TOP:
KEY:
21. ANS:
64
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
1-5 Problem 4 Using an Angle Bisector to Find Angle Measures
angle bisector
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
22. ANS:
14
1
DIF: L3
REF: 1-5 Exploring Angle Pairs
1-5.1 Identify special angle pairs and use their relationships to find angle measures
MA.912.G.4.2
1-5 Problem 4 Using an Angle Bisector to Find Angle Measures
angle bisector
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
23. ANS:
47
1
DIF: L3
REF: 2-6 Proving Angles Congruent
2-6.1 Prove and apply theorems about angles
MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5
2-6 Problem 1 Using the Vertical Angles Theorem
vertical angles | Vertical Angles Theorem
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L2
REF: 2-6 Proving Angles Congruent
2-6.1 Prove and apply theorems about angles
MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5
2-6 Problem 1 Using the Vertical Angles Theorem
vertical angles | Vertical Angles Theorem
DOK: DOK 2
4
ID: A
24. ANS:
120
PTS: 1
DIF: L2
REF: 2-6 Proving Angles Congruent
OBJ: 2-6.1 Prove and apply theorems about angles
STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5
TOP: 2-6 Problem 1 Using the Vertical Angles Theorem
KEY: Vertical Angles Theorem | vertical angles
DOK: DOK 2
25. ANS:
x = 47, y = 12
PTS: 1
DIF: L4
REF: 2-6 Proving Angles Congruent
OBJ: 2-6.1 Prove and apply theorems about angles
STA: MA.912.D.6.4| MA.912.G.8.1| MA.912.G.8.5
TOP: 2-6 Problem 1 Using the Vertical Angles Theorem
KEY: Vertical Angles Theorem | vertical angles | supplementary angles | multi-part question
DOK: DOK 2
26. ANS:
segments PQ, QR, NR, and NP
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
OBJ: 3-1.1 Identify relationships between figures in space
STA: MA.912.G.7.2
TOP: 3-1 Problem 1 Identifying Nonintersecting Lines and Planes
KEY: parallel | planes
DOK: DOK 2
27. ANS:
segments JM, KL, PQ, and NR
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
OBJ: 3-1.1 Identify relationships between figures in space
STA: MA.912.G.7.2
TOP: 3-1 Problem 1 Identifying Nonintersecting Lines and Planes
KEY: parallel | planes
DOK: DOK 2
28. ANS:
3 and 4
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
OBJ: 3-1.2 Identify angles formed by two lines and a transversal
STA: MA.912.G.7.2
TOP: 3-1 Problem 2 Identifying an Angle Pair
KEY: transversal | angle pair
DOK: DOK 1
29. ANS:
angles 2 & 4, 3 & 5, and 1 & 7
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
MA.912.G.7.2
TOP: 3-1 Problem 2 Identifying an Angle Pair
angle pair | transversal
DOK: DOK 1
5
ID: A
30. ANS:
alternate exterior angles
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
OBJ: 3-1.2 Identify angles formed by two lines and a transversal
STA: MA.912.G.7.2
TOP: 3-1 Problem 3 Classifying an Angle Pair
KEY: angle pair | transversal
DOK: DOK 1
31. ANS:
alternate interior angles
PTS:
OBJ:
STA:
KEY:
32. ANS:
246
1
DIF: L2
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
MA.912.G.7.2
TOP: 3-1 Problem 3 Classifying an Angle Pair
parallel lines | transversal | angle
DOK: DOK 1
PTS:
OBJ:
STA:
KEY:
33. ANS:
132
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 3 Finding Measures of Angles
parallel lines | transversal
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
34. ANS:
73
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 1 Identifying Congruent Angles
parallel lines | alternate interior angles
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
35. ANS:
31º
1
DIF: L4
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 3 Finding Measures of Angles
angle | parallel lines | transversal
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 3 Finding Measures of Angles
angle | parallel lines | transversal
DOK: DOK 2
6
ID: A
36. ANS:
64º
PTS:
OBJ:
STA:
KEY:
37. ANS:
16
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 3 Finding Measures of Angles
angle | parallel lines | transversal
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
38. ANS:
18
1
DIF: L4
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
MA.912.G.1.3
TOP: 3-2 Problem 4 Using Algebra to Find an Angle Measure
corresponding angles | parallel lines | angle pairs
DOK: DOK 2
PTS: 1
DIF: L3
REF: 3-2 Properties of Parallel Lines
OBJ: 3-2.2 Use properties of parallel lines to find angle measures
STA: MA.912.G.1.3
TOP: 3-2 Problem 4 Using Algebra to Find an Angle Measure
KEY: corresponding angles | parallel lines | angle pairs
DOK: DOK 2
39. ANS:
x = 82, y = 48
PTS: 1
DIF: L4
REF: 3-2 Properties of Parallel Lines
OBJ: 3-2.2 Use properties of parallel lines to find angle measures
STA: MA.912.G.1.3
TOP: 3-2 Problem 4 Using Algebra to Find an Angle Measure | 3-1 Problem 1 Identifying Nonintersecting
Lines and Planes
KEY: corresponding angles | parallel lines
DOK: DOK 2
40. ANS:
r  s, by the Converse of the Alternate Interior Angles Theorem
PTS:
OBJ:
TOP:
DOK:
41. ANS:
61
1
DIF: L2
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 1 Identifying Parallel Lines
KEY: parallel lines | reasoning
DOK 2
PTS:
OBJ:
TOP:
DOK:
1
DIF: L4
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 4 Using Algebra
KEY: parallel lines | angle pairs
DOK 2
7
ID: A
42. ANS:
32
PTS:
OBJ:
TOP:
DOK:
43. ANS:
37
1
DIF: L4
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
3-3 Problem 4 Using Algebra
KEY: parallel lines | transversal
DOK 2
PTS: 1
DIF: L3
REF: 3-3 Proving Lines Parallel
OBJ: 3-3.1 Determine whether two lines are parallel
STA: MA.912.G.1.3| MA.912.G.8.5
TOP: 3-3 Problem 4 Using Algebra
KEY: parallel lines | transversal
DOK: DOK 2
44. ANS:
The two tracks are parallel by the Perpendicular Transversal Theorem.
PTS: 1
DIF: L2
REF: 3-4 Parallel and Perpendicular Lines
OBJ: 3-4.1 Relate parallel and perpendicular lines STA:
MA.912.G.1.3
TOP: 3-4 Problem 1 Solving a Problem with Parallel Lines
KEY: parallel | perpendicular | transversal | word problem | reasoning
DOK: DOK 2
45. ANS:
The sheets of metal are all perpendicular to the top line of the roof by the Perpendicular Transversal Theorem.
PTS:
OBJ:
TOP:
KEY:
DOK:
46. ANS:
82
1
DIF: L3
REF: 3-4 Parallel and Perpendicular Lines
3-4.1 Relate parallel and perpendicular lines STA:
MA.912.G.1.3
3-4 Problem 1 Solving a Problem with Parallel Lines
parallel | perpendicular | transversal | word problem | reasoning
DOK 2
PTS: 1
DIF: L2
REF: 3-5 Parallel Lines and Triangles
OBJ: 3-5.2 Find measures of angles of triangles
STA: MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
TOP: 3-5 Problem 1 Using the Triangle Angle-Sum Theorem
KEY: triangle | sum of angles of a triangle
DOK: DOK 2
47. ANS:
x  82, y  70, z  98
PTS:
OBJ:
STA:
TOP:
DOK:
1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 1 Using the Triangle Angle-Sum Theorem
KEY: triangle | sum of angles of a triangle
DOK 2
8
ID: A
48. ANS:
47
PTS:
OBJ:
STA:
TOP:
KEY:
49. ANS:
73
1
DIF: L2
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 2 Using the Triangle Exterior Angle Theorem
triangle | sum of angles of a triangle
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
50. ANS:
18
1
DIF: L4
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 2 Using the Triangle Exterior Angle Theorem
exterior angle
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
51. ANS:
40
1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 2 Using the Triangle Exterior Angle Theorem
triangle | sum of angles of a triangle | vertical angles
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
52. ANS:
103
1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 3 Applying the Triangle Theorems
KEY: triangle | angle | word problem
DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 3 Applying the Triangle Theorems
triangle | sum of angles of a triangle | word problem
DOK: DOK 2
9
ID: A
53. ANS:
66
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 3-5 Parallel Lines and Triangles
3-5.2 Find measures of angles of triangles
MA.912.G.2.2| MA.912.G.4.1| MA.912.G.8.5
3-5 Problem 3 Applying the Triangle Theorems
triangle | sum of angles of a triangle | word problem | exterior angle theorem
DOK 2
10