Download Unit 2 Practice Test w

Name: ______________________
Class: _________________
Date: _________
ID: A
Geometry Unit 2 Test - 3.1-3.5, 3.8, 9.1-9.3
Short Answer - You are allowed to use your notes and calculator. No cell phones.Good luck!
1. Line r is parallel to line t. Find m∠5. The
diagram is not to scale.
4. Find m∠Q. The diagram is not to scale.
5. If c ⊥ b and a Ä c, what is m∠2?
2. Find the value of the variable if m Ä l,
m∠1 = 2x + 44 and m∠5 = 5x + 38. The diagram is
not to scale.
6. Find the values of x, y, and z. The diagram is not
to scale.
3. Find the values of x and y. The diagram is not to
scale.
1
Name: ______________________
ID: A
7. Find the value of x. The diagram is not to scale.
11. The sum of the measures of two exterior angles
of a triangle is 255. What is the measure of the
third exterior angle?
12. Use less than, equal to, or greater than to
complete the statement. The measure of each
exterior angle of a regular 7-gon is
____________________________ the measure
of each exterior angle of a regular 5-gon.
8. Find the value of the variable. The diagram is not
to scale.
13. Use less than, equal to, or greater than to
complete the statement. The sum of the
measures of the exterior angles of a regular
5-gon, one at each vertex, is
____________________________ the sum of
the measures of the exterior angles of a regular
9-gon, one at each vertex.
9. How many sides does a regular polygon have if
each exterior angle measures 20?
14. Find m∠A. The diagram is not to scale.
10. Find the missing angle measures. The diagram is
not to scale.
15. A nonregular hexagon has five exterior angle
measures of 55, 60, 69, 57, and 57. What is the
measure of the interior angle adjacent to the
sixth exterior angle?
2
Name: ______________________
ID: A
16. Give the missing reasons in this proof of the Alternate Interior Angles Theorem.
Given: l Ä n
Prove: ∠4 ≅ ∠6
Statments
Reasons
1.
l Ä n
1.
2.
∠2 ≅ ∠6
a.
3.
∠4 ≅ ∠2
b.
4.
∠6 ≅ ∠4
c.
Given
17. Find the values of the variables. Show your work
and explain your steps. The diagram is not to
scale.
18. Find the measures of an interior angle and an
exterior angle of a regular polygon with 6 sides.
19. Explain how to tell whether a polygon is convex
or concave.
3
Name: ______________________
ID: A
BONUS ( 1 pt each question)
The hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.
25. BONUS (1 pt)
Find the value of x for which l is parallel to m.
The diagram is not to scale.
20. Find the image of OQ after a rotation of 240°
about point O.
21. Find the image of point P after a rotation of
240° about point M.
22. Find the angle of rotation about O that maps JK
to FG.
26. BONUS (1 pt)
Find the value of k. The diagram is not to scale.
23. Find the angle of rotation about O that maps Q
to F.
24. BONUS ( 1pt)
m∠1 = 6x and m∠3 = 120. Find the value of x for
p to be parallel to q. The diagram is not to scale.
4
ID: A
Geometry Unit 2 Test - 3.1-3.5, 3.8, 9.1-9.3
Answer Section
SHORT ANSWER
1. ANS:
135
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
TOP: 3-1 Example 4
KEY: parallel lines | alternate interior angles
2. ANS:
2
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
TOP: 3-1 Example 5
KEY: corresponding angles | parallel lines |
3. ANS:
x = 77, y = 57
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
TOP: 3-1 Example 5
KEY: corresponding angles | parallel lines
4. ANS:
60
PTS: 1
DIF: L3
REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
KEY: angle | parallel lines | transversal
5. ANS:
90
PTS: 1
DIF: L3
REF: 3-3 Parallel and Perpendicular Lines
OBJ: 3-3.1 Relating Parallel and Perpendicular Lines
STA: CA GEOM 7.0
TOP: 3-3 Example 2
KEY: parallel lines | perpendicular lines | transversal
6. ANS:
x = 86, y = 67, z = 94
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
3-4.1 Finding Angle Measures in Triangles
CA GEOM 12.0| CA GEOM 13.0 TOP: 3-4 Example 1
triangle | sum of angles of a triangle
1
ID: A
7. ANS:
33
PTS: 1
DIF: L2
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
OBJ: 3-4.2 Using Exterior Angles of Triangles
STA: CA GEOM 12.0| CA GEOM 13.0
TOP: 3-4 Example 3
KEY: triangle | sum of angles of a triangle
8. ANS:
19
PTS: 1
DIF: L3
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
OBJ: 3-4.1 Finding Angle Measures in Triangles
STA: CA GEOM 12.0| CA GEOM 13.0 KEY: triangle | sum of angles of a triangle | vertical angles
9. ANS:
18 sides
PTS: 1
DIF: L2
OBJ: 3-5.2 Polygon Angle Sums
TOP: 3-5 Example 3
10. ANS:
x = 114, y = 56
REF: 3-5 The Polygon Angle-Sum Theorems
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: sum of angles of a polygon
PTS: 1
DIF: L2
OBJ: 3-5.2 Polygon Angle Sums
TOP: 3-5 Example 4
11. ANS:
105
REF: 3-5 The Polygon Angle-Sum Theorems
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: exterior angle | Polygon Angle-Sum Theorem
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
OBJ: 3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: angle | triangle | exterior angle | Polygon Angle-Sum Theorem
12. ANS:
less than
PTS: 1
DIF: L3
OBJ: 3-5.2 Polygon Angle Sums
KEY: sum of angles of a polygon
13. ANS:
equal to
REF: 3-5 The Polygon Angle-Sum Theorems
STA: CA GEOM 12.0| CA GEOM 13.0
PTS: 1
DIF: L3
OBJ: 3-5.2 Polygon Angle Sums
KEY: sum of angles of a polygon
14. ANS:
73
REF: 3-5 The Polygon Angle-Sum Theorems
STA: CA GEOM 12.0| CA GEOM 13.0
PTS: 1
DIF: L3
REF: 3-5 The Polygon Angle-Sum Theorems
OBJ: 3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: pentagon | exterior angle | sum of angles of a polygon
2
ID: A
15. ANS:
118
PTS: 1
DIF: L3
OBJ: 3-5.2 Polygon Angle Sums
KEY: hexagon | angle | exterior angle
16. ANS:
a. Corresponding angles.
b. Vertical angles.
c. Transitive Property.
REF: 3-5 The Polygon Angle-Sum Theorems
STA: CA GEOM 12.0| CA GEOM 13.0
PTS: 1
DIF: L2
REF: 3-1 Properties of Parallel Lines
OBJ: 3-1.2 Properties of Parallel Lines STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
TOP: 3-1 Example 3
KEY: alternate interior angles | Alternate Interior Angles Theorem | proof | reasoning | two-column proof |
multi-part question
17. ANS:
[4] w + 31 + 90 = 180, so w = 59º. Since vertical angles are congruent, y = 59º. Since
supplementary angles have measures with sum 180, x = v = 121º. z + 68 + y =
z + 68 + 59 = 180, so z = 53º.
[3] small error leading to one incorrect answer
[2] three correct answers, work shown
[1] two correct answers, work shown
PTS: 1
DIF: L3
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
OBJ: 3-4.2 Using Exterior Angles of Triangles
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: Triangle Angle-Sum Theorem | vertical angles | supplementary angles | extended response | rubric-based
question
18. ANS:
m∠(interior) = 120
m∠(exterior) = 60
PTS: 1
DIF: L2
REF: 3-5 The Polygon Angle-Sum Theorems
OBJ: 3-5.2 Polygon Angle Sums
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: Polygon Exterior Angle-Sum Theorem | exterior angle | interior angle
19. ANS:
A polygon is convex if the points of all the diagonals are inside or on the polygon.
PTS: 1
DIF: L3
REF: 3-5 The Polygon Angle-Sum Theorems
OBJ: 3-5.1 Classifying Polygons
STA: CA GEOM 12.0| CA GEOM 13.0
KEY: classifying polygons | concave | convex | writing in math
20. ANS:
OH
PTS: 1
DIF: L2
REF: 9-3 Rotations
OBJ: 9-3.1 Drawing and identifying rotation images
STA: CA GEOM 22.0
TOP: 9-3 Example 3
KEY: rotation | degree of rotation | image
3
ID: A
21. ANS:
K
PTS: 1
DIF: L2
REF: 9-3 Rotations
OBJ: 9-3.1 Drawing and identifying rotation images
STA: CA GEOM 22.0
TOP: 9-3 Example 2
KEY: rotation | degree of rotation | image
22. ANS:
120°
PTS: 1
DIF: L2
REF: 9-3 Rotations
OBJ: 9-3.1 Drawing and identifying rotation images
STA: CA GEOM 22.0
TOP: 9-3 Example 3
KEY: rotation | degree of rotation | image
23. ANS:
300°
PTS: 1
DIF: L2
REF: 9-3 Rotations
OBJ: 9-3.1 Drawing and identifying rotation images
STA: CA GEOM 22.0
TOP: 9-3 Example 3
KEY: rotation | degree of rotation | image
24. ANS:
20
PTS: 1
DIF: L2
REF: 3-3 Parallel and Perpendicular Lines
OBJ: 3-3.1 Relating Parallel and Perpendicular Lines
STA: CA GEOM 7.0
TOP: 3-3 Example 2
KEY: parallel lines
25. ANS:
28
PTS: 1
DIF: L4
OBJ: 3-2.1 Using a Transversal
TOP: 3-2 Example 2
26. ANS:
73
PTS:
OBJ:
STA:
KEY:
REF: 3-2 Proving Lines Parallel
STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 7.0
KEY: parallel lines | transversal
1
DIF: L2
REF: 3-4 Parallel Lines and the Triangle Angle-Sum Theorem
3-4.1 Finding Angle Measures in Triangles
CA GEOM 12.0| CA GEOM 13.0 TOP: 3-4 Example 1
triangle | sum of angles of a triangle
4