Free Printable Chapter 4: Triangles and Congruence

1.

Find the value of x.

a)

145

b)

125

c)

135

d)

45

2.

$What\ is\ m\angle W\ if\ m\angle X=59\ and\ m\angle XYZ=137?$

a)

88

b)

68

c)

31

d)

78

3.

Find measure of angle 1.

a)

68

b)

56

c)

62

d)

50

4.

The two triangles in the diagram are congruent. Find the values of x and y.

a)

x = 24.2, y = 20

b)

x = 21.2, y = 21

c)

x = 13.8, y = 14

d)

x = 15.6, y = 18

5.

$Which\ angle\ corresponds\ to\ \angle T\ if\ \Delta DMT\cong\Delta RGP?$

a)

angle P

b)

angle D

c)

angle R

d)

angle R

6.

Find the values of x and y.

a)

x = 12, y = 54

b)

x = 12, y = 108

c)

x = 36, y = 54

d)

x = 36, y = 108

7.

Triangle DEF is congruent to triangle DGF by the ____________.

a)

ASA Postulate

b)

SSS Postulate

c)

SAS Postulate

d)

SSA Postulate

8.

Which postulate can be used to prove the triangles congruent?

a)

SSS Postulate

b)

SAS Postulate

c)

AAA Postulate

d)

ASA Postulate

9.

In the figure, line FG intersects line DE at H. Which additional fact is needed to prove that triangle GHD is congruent to triangle FEH by ASA?

a)

$\angle DHG\cong\angle EHF$

b)

$\overline{DH}\cong\overline{EH}$

c)

$\overline{DG}\cong\overline{FE}$

d)

$\overline{GH}\cong\overline{FH}$

10.

Triangle ABQ is congruent to triangle CBQ by the __________.

a)

AAA Postulate

b)

SAS Postulate

c)

ASA Postulate

d)

SSS Postulate

11.

$If\ m\angle5=\left(m\angle7+m\angle8\right)\ and\ m\angle11=m\angle9,\ then\ \Delta ADG\cong\ldots\ldots\ldots\ by\ \ldots\ldots\ldots.$

a)

Triangle BGC by ASA

b)

Triangle AFC by ASA

c)

Triangle ABG by ASA

d)

Triangle ACG by ASA

12.

In the diagram of the bridge, the bridge deck is perpendicular to the cable. Also, angle BAD and angle BCD are congruent. Which reasno is missing in the proof?

a)

LL

b)

HA

c)

LA

d)

HL

13.

Are the pair of triangles congruent? If yes, choose the theorem or postulate that best applies.

a)

yes; LL

b)

yes; HA

c)

yes; LA

d)

no

14.

Which pair of triangles cannot be proven congruent?

a)

b)

c)

d)

15.

Triangle ABC has vertices A(2, 5), B(5, 2), and C(2, -1). Classify triangle ABC.

a)

acute

b)

isosceles

c)

equilateral

d)

scalene

16.

Find the value of x.

a)

10

b)

9

c)

3

d)

8

17.

$In\ isosceles\ \Delta ABC\ with\ base\ \overline{AC},\ m\angle A=3x+9\ and\ m\angle C=5x-13.\ Find\ the\ measure\ of\ \angle B.$

a)

34

b)

96

c)

52

d)

42

18.

Mr. Lopez planted a pine tree in his backyard that was 4 feet wide at the base and 5 feet tall. Prove that ΔABC is an isosceles triangle by using the Distance Formula to find AB and BC?

a)

sqrt12

b)

sqrt29

c)

sqrt21

d)

sqrt20

19.

Which of the following is not a guideline for placing figures on the coordinate plane?

a)

Use coordinates that make computation as simple as possible.

b)

Keep the figure in the first quadrant.

c)

Use the point (1, 1) as a vertex or center.

d)

Place at least one side of a polygon on an axis.

20.

Determine the coordinates of Q.

a)

$\left(-2b,\ 2b\sqrt{3}\right)$

b)

$\left(-2b,\ 2b\right)$

c)

$\left(-2b,\ 4b\right)$

d)

$\left(-2b,\ b\right)$

Chapter 4: Triangles and Congruence

Total questions: 20

Worksheet time: 10mins

Similar Resources on Wayground