Free Printable ATA Geometry - Unit 4 Study Guide

1.

Classify triangle ABE by its angles and sides. Choose all possible answers.

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

e)

Scalene

2.

Classify triangle BEC by its angles and sides. Choose all possible answers.

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

e)

Scalene

3.

Classify triangle DEF by its angles and sides. Choose all possible answers.

a)

Acute

b)

Obtuse

c)

Equiangular

d)

Isosceles

e)

Equilateral

4.

Classify triangle CDF by its angles and sides. Choose all possible answers.

a)

Acute

b)

Obtuse

c)

Right

d)

Isosceles

e)

Scalene

5.

Given the coordinates, classify △QRT by its sides. Q(-2, -1), R(1, 5), T(-8, -4)

a)

Scalene

b)

Isosceles

c)

Equilateral

6.

Find the measure of $\angle1$ .

(a)

7.

Find the measure of $\angle3$ .

(a)

8.

Find the measure of $\angle2$ .

(a)

9.

Find the measure of $\angle4$ .

(a)

10.

Find the measure of $\angle5$ .

(a)

11.

Find the measure of $\angle4$ .

(a)

12.

Find the measure of $\angle2$ .

(a)

13.

Find the measure of $\angle5$ .

(a)

14.

Find the measure of $\angle1$ .

(a)

15.

Find the measure of $\angle3$ .

(a)

16.

Find the measure of $\angle6$ .

(a)

17.

Find the measure of $\angle7$ .

(a)

18.

For questions 5 and 6, find the value of x.

(a)

19.

For questions 5 and 6, find the value of x.

(a)

20.

For questions 7 and 8, find the measure of ∠A.

(a)

21.

For questions 7 and 8, find the measure of ∠A.

(a)

22.

Find the measure of $\angle Q$ .

a)

74

b)

32

c)

106

d)

64

23.

Find the measure of $\angle E$ .

a)

106

b)

74

c)

37

d)

53

24.

Find the measure of $\overline{AC}$ .

a)

9 ft

b)

10 ft

c)

84

d)

48

25.

Find the measure of $\angle M$ .

(a)

26.

For questions 13 and 14, find the value of x.

(a)

27.

For questions 13 and 14, find the value of x.

(a)

28.

ΔCDE is an isosceles triangle with ∠D ≅ ∠E. If CD = 4x + 9, DE = 7x - 5, and CE = 16x - 27, find x.

(a)

29.

In ΔQRS, an equilateral triangle, if QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of QR.

a)

9

b)

35

c)

17

d)

60

30.

In ΔJKL, if JK ≅ JL, m∠J = (23x - 4)°, m∠K = (4x - 1)°, and m∠L = (9x - 31)°, find x.

(a)

31.

Choose all the congruency statements that are valid based on the given triangles.

a)

$\Delta RPQ\cong\Delta SUT$

b)

$\Delta QPR\cong\Delta SUT$

c)

$\Delta RQP\cong\Delta STU$

d)

$\Delta UTS\cong\Delta PQR$

32.

If ΔKPL ≅ ΔACM, what's congruent to $\overline{KL}$ ?

a)

AM

b)

KP

c)

CM

d)

MA

33.

If ΔKPL ≅ ΔACM, what's congruent to $\overline{AC}$ ?

a)

AM

b)

KP

c)

CM

d)

MA

34.

Determine if the triangles below are congruent. If yes, state which method.

a)

Yes; ASA

b)

Yes; SSS

c)

Not congruent

d)

Yes; HL

35.

Select the reasons below that you think will be used to solve the proof.

a)

Definition of Midpoint

b)

Alternate Interior Angles

c)

ASA

d)

SAS

e)

Vertical Angles

36.

Select the reasons below that you think will be used to solve the proof.

a)

CPCTC

b)

Definition of Angle Bisector

c)

ASA

d)

SAS

e)

Reflexive Property

37.

Select the reasons below that you think will be used to solve the proof.

a)

Definition of Isosceles Triangle

b)

Definition of Equilateral Triangle

c)

ASA

d)

AAS

e)

Reflexive Property

38.

Select the reasons below that you think will be used to solve the proof.

a)

CPCTC

b)

HL

c)

ASA

d)

AAS

e)

Reflexive Property

39.

Select the reasons below that you think will be used to solve the proof.

a)

CPCTC

b)

Alternate Interior Angles

c)

ASA

d)

AAS

e)

Reflexive Property

40.

Select the reasons below that you think will be used to solve the proof.

a)

CPCTC

b)

Alternate Interior Angles

c)

Corresponding Angles

d)

ASA

e)

AAS

41.

Look at the sides of this triangle. What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

42.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

43.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

44.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

45.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

46.

Find the measure of the indicated angle.

a)

87 degrees

b)

82 degrees

c)

83 degrees

d)

72 degrees

47.

The measure of the indicated angle is ______ $\degree$ .

a)

45

b)

90

c)

180

d)

135

48.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

49.

What is the "reason" for step 4 of the proof?

a)

SAS
≅ theorem

b)

ASA
≅ theorem

c)

SSA
≅ theorem

d)

CPTCT
theorem

50.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

51.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

52.

What is the "reason" for step 4 of the proof?

a)

proof

b)

AAS
≅ Thrm

c)

ASA
≅ Thrm

d)

SAS
≅ Thrm

53.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

not congruent

ATA Geometry - Unit 4 Study Guide

Total questions: 53

Worksheet time: 2hrs 40mins

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