Free Printable Using Congruent Triangles & Isosceles Triangles

1.

If GH = 10, GJ = 4, and HJ = 9, what is the length of $\overline{HI}$

a)

HI = 10

b)

HI = 4

c)

HI = 9

d)

There's not enough information

2.

How can you justify that $\Delta HGJ\cong\Delta JIH$ ?

a)

CPCTC

b)

ASA

c)

SSS

d)

HL

3.

If $\angle A\ \cong\angle C$ , and $\angle ADB\ \cong\angle CBD$ then

a)

$\overline{AB}\ \cong\overline{BC}$

b)

$\overline{AB}\cong\overline{CD}$

c)

$\overline{AB}\cong\overline{BD}$

d)

$\overline{AB}$ is not congruent to any other segment because the triangles are not congruent.

4.

$\Delta BRM\ \cong\ \Delta KYZ$ . How can you justify that $\overline{YZ}\ \cong\ \overline{RM}$ ?

a)

CPCTC

b)

SAS

c)

SSS

d)

AAS

5.

The value of x in the diagram is 55, what is the value of z? Explain.

(a)

6.

What is the value of y in the diagram? Show work.

(a)

7.

The lengths of two of the sides of an equilateral triangle are $3x+15$ and $7x-5$ . What is the length of the third side?

a)

5

b)

15

c)

35

d)

30

8.

$\overline{AB}\ \cong$ _______

a)

$\overline{AD}$

b)

$\overline{AC}$

c)

$\overline{BC}$

d)

$\overline{BD}$

9.

$\angle CBE\ \cong$ _______

a)

$\angle CBA$

b)

$\angle CEB$

c)

$\angle BCE$

d)

$\angle A$

10.

$\angle D\ \cong$ _______

a)

$\angle CBE$

b)

$\angle CEB$

c)

$\angle BCE$

d)

$\angle BED$

11.

In the diagram, the value of x is

a)

45

b)

120

c)

60

d)

90

12.

In the diagram, the value of y is

a)

45

b)

30

c)

60

d)

90

Using Congruent Triangles & Isosceles Triangles

Total questions: 12

Worksheet time: 3600secs

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