Download ExamView - Practice Quiz 1

Name: ________________________ Class: ___________________ Date: __________
Geometry Practice Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which pairs of angles are equal in this diagram?
a.
b.
c.
d.
____
a = e, b = d, and c = g
a = e, c = g, and b = f
a = c, e = g, and f = h
a = b, c = d, and e = f
2. In which diagram(s) is AB parallel to CD?
2.
1.
a.
b.
c.
d.
Choice 1 only
Choice 2 only
Choice 1 and Choice 2
Neither Choice 1 nor Choice 2
1
ID: A
Name: ________________________
____
3. Which statement about the angles in this diagram is false?
a.
b.
c.
d.
____
ID: A
∠e = 130°
∠f = 62°
∠c = 50°
∠b = 50°
4. Which statement about the angles in this diagram is false?
a.
b.
c.
d.
∠e = ∠f
∠f = ∠a
∠a = ∠b
∠d = ∠c
2
Name: ________________________
____
5. Which angle property proves ∠PYD = 90°?
a.
b.
c.
d.
____
corresponding angles
alternate interior angles
alternate exterior angles
supplementary angles
6. Which angle property proves ∠EFS = 28°?
a.
b.
c.
d.
____
ID: A
alternate exterior angles
supplementary angles
alternate interior angles
corresponding angles
7. Which are the correct measures of the indicated angles?
a.
b.
c.
d.
∠w = 77°, ∠x =103°, ∠y = 103°
∠w = 77°, ∠x =77°, ∠y = 103°
∠w = 103°, ∠x =103°, ∠y = 77°
∠w = 103°, ∠x =77°, ∠y = 77°
3
Name: ________________________
____
8. Which are the correct measures for ∠YXZ and ∠XZY?
a.
b.
c.
d.
____
ID: A
∠YXZ = 63°, ∠XZY = 91°
∠YXZ = 53°, ∠XZY = 91°
∠YXZ = 63°, ∠XZY = 81°
∠YXZ = 53°, ∠XZY = 81°
9. Which are the correct measures for ∠LNO, ∠LNM, and ∠MLN?
a.
b.
c.
d.
∠LNO = 152°, ∠LNM = 28°, and ∠MLN = 35°
∠LNO = 152°, ∠LNM = 28°, and ∠MLN = 28°
∠LNO = 117°, ∠LNM = 63°, and ∠MLN = 28°
∠LNO = 145°, ∠LNM = 35°, and ∠MLN = 35°
4
Name: ________________________
ID: A
____ 10. Which are the correct measures of the interior angles of ∆CDE?
a.
b.
c.
d.
∠DCE = 52°, ∠CDE = 69°, and ∠CED = 59°
∠DCE = 92°, ∠CDE = 49°, and ∠CED = 39°
∠DCE = 62°, ∠CDE = 49°, and ∠CED = 69°
∠DCE = 72°, ∠CDE = 59°, and ∠CED = 49°
____ 11. Determine the sum of the measures of the interior angles of this polygon.
a.
b.
c.
d.
720°
1080°
540°
1440°
5
Name: ________________________
ID: A
____ 12. Determine the value of a.
a.
b.
c.
d.
35°
30°
45°
25°
____ 13. Can you conclude that ∆ABC is congruent to ∆XYZ? Explain.
a.
b.
c.
d.
Yes, they are congruent: side-angle-side congruence
Yes, they are congruent: side-side-side congruence
Yes, they are congruent: angle-side-angle congruence
It is not possible to conclude they are congruent.
6
Name: ________________________
ID: A
____ 14. Can you prove these triangles are congruent? If so, how?
a.
b.
c.
d.
Yes, by SSS.
Yes, by SAS.
Yes, by ASA.
No, there is not enough information.
____ 15. What can you deduce from the statement ∆ABC ≅ ∆DEF? Choose the best answer.
a.
b.
c.
d.
BC = EF
∠A = ∠D
∠C = ∠F
all of the above
Short Answer
16. Determine the measure of ∠BEF.
17. Determine the values of a, b, and c.
7
Name: ________________________
ID: A
18. Determine the measure of ∠RTQ.
19. Determine the measure of ∠NMO.
20. Determine the value of x.
8
ID: A
Geometry Practice Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: B
PTS: 1
DIF: Grade 11
REF: Lesson 2.1
OBJ: 1.1 Generalize, using inductive reasoning, the relationships between pairs of angles formed by
transversals and parallel lines, with or without technology. | 1.5 Verify, with examples, that if lines are not
parallel the angle properties do not apply. TOP: Parallel lines
KEY: parallel lines| transversals
2. ANS: D
PTS: 1
DIF: Grade 11
REF: Lesson 2.1
OBJ: 1.1 Generalize, using inductive reasoning, the relationships between pairs of angles formed by
transversals and parallel lines, with or without technology. | 1.5 Verify, with examples, that if lines are not
parallel the angle properties do not apply. TOP: Parallel lines
KEY: parallel lines| transversals
3. ANS: D
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
4. ANS: B
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
5. ANS: A
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
1
ID: A
6. ANS: A
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
7. ANS: D
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
8. ANS: C
PTS: 1
DIF: Grade 11
REF: Lesson 2.3
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves
parallel lines, angles and triangles, and justify the reasoning.
TOP: Angles in triangles
KEY: angles| triangles
9. ANS: A
PTS: 1
DIF: Grade 11
REF: Lesson 2.3
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves
parallel lines, angles and triangles, and justify the reasoning.
TOP: Angles in triangles
KEY: angles| triangles
10. ANS: D
PTS: 1
DIF: Grade 11
REF: Lesson 2.3
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves
parallel lines, angles and triangles, and justify the reasoning.
TOP: Angles in triangles
KEY: angles| triangles
11. ANS: B
PTS: 1
DIF: Grade 11
REF: Lesson 2.4
OBJ: 1.3 Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior
angles and the number of sides (n) in a polygon, with or without technology 1.4 Identify and correct errors in
a given proof of a property involving angles.| 2.2 Identify and correct errors in a given solution to a problem
that involves the measures of angles.| 2.3 Solve a contextual problem that involves angles or triangles.
TOP: Angle properties in polygons
KEY: polygons| angle properties
12. ANS: B
PTS: 1
DIF: Grade 11
REF: Lesson 2.4
OBJ: 1.3 Generalize, using inductive reasoning, a rule for the relationship between the sum of the interior
angles and the number of sides (n) in a polygon, with or without technology 1.4 Identify and correct errors in
a given proof of a property involving angles.| 2.2 Identify and correct errors in a given solution to a problem
that involves the measures of angles.| 2.3 Solve a contextual problem that involves angles or triangles.
TOP: Angle properties in polygons
KEY: polygons| angle properties
13. ANS: A
PTS: 1
DIF: Grade 11
REF: Lesson 2.5
OBJ: Investigate congruent triangles
TOP: Congruent triangles
KEY: congruent triangles| side-angle-side| side-side-side| angle-side-angle
2
ID: A
14. ANS:
OBJ:
TOP:
KEY:
15. ANS:
OBJ:
TOP:
KEY:
D
PTS: 1
DIF: Grade 11
REF: Lesson 2.6
1.6 Prove, using deductive reasoning that two triangles are congruent
Proving triangles congruent
congruent| triangles| side-angle-side| side-side-side| angle-side-angle
D
PTS: 1
DIF: Grade 11
REF: Lesson 2.6
1.6 Prove, using deductive reasoning that two triangles are congruent
Proving triangles congruent
congruent| triangles| side-angle-side| side-side-side| angle-side-angle
SHORT ANSWER
16. ANS:
∠BEF = 72°
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
17. ANS:
∠a = 15°, ∠b = 30°, ∠c = 10°
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
18. ANS:
∠RTQ = 77°
PTS: 1
DIF: Grade 11
REF: Lesson 2.2
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle. | 1.4 Identify and correct errors in a given proof of a property
involving angles. | 2.1 Determine the measures of angles in a diagram that involves parallel lines, angles and
triangles, and justify the reasoning. | 2.2 Identify and correct errors in a given solution to a problem that
involves the measures of angles. | 2.3 Solve a contextual problem that involves angles or triangles. | 2.4
Construct parallel lines, using only a compass or a protractor, and explain the strategy used. | 2.5 Determine
if lines are parallel, given the measure of an angle at each intersection formed by the lines and a transversal.
TOP: Angles formed by parallel lines
KEY: parallel lines| transversals| angles
3
ID: A
19. ANS:
∠NMO = 82°
PTS: 1
DIF: Grade 11
REF: Lesson 2.3
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves
parallel lines, angles and triangles, and justify the reasoning.
TOP: Angles in triangles
KEY: angles| triangles
20. ANS:
x = 21°
PTS: 1
DIF: Grade 11
REF: Lesson 2.3
OBJ: 1.2 Prove, using deductive reasoning, properties of angles formed by transversals and parallel lines,
including the sum of the angles in a triangle.| 2.1 Determine the measures of angles in a diagram that involves
parallel lines, angles and triangles, and justify the reasoning.
TOP: Angles in triangles
KEY: angles| triangles
4