Free Printable Triangles

1.

Complete the proof.
Given: $\overline{XP}\parallel\overline{WQ}$
Prove: $\Delta XZP\sim\Delta WZQ$

We are given that $\overline{XP}\parallel\overline{WQ};\$
therefore, $\angle ZXP\cong\angle ZWQ$ and

$\angle ZPX\cong\angle ZQW$ by the

a)

Corresponding Angles Postulate

b)

Alternate Interior Angles Theorem

c)

Alternate Exterior Angles Theorem

d)

Same-Side Interior Angles Postulate

2.

Complete the proof.
Given: $\overline{XP}\parallel\overline{WQ}$

Prove: $\Delta XZP\sim\Delta WZQ$

We are given that $\overline{XP}\parallel\overline{WQ};\ therefore,\ \angle ZXP\cong\angle ZWQ\ and\$

$\angle ZPX\cong\angle ZQW$

Then we can conclude that $\Delta XZP\sim\Delta WZQ$ by

a)

SSS

b)

AA

c)

SAS

d)

ASA

3.

Which statement regarding the triangles pictured is true?

a)

The triangles are similar because of the Angle-Angle Similarity Criterion.

b)

The triangles are similar because of the Side-Angle-Side Similarity Criterion.

c)

The triangles are similar because of the Side-Side-Side Similarity Criterion

d)

The triangles are not similar.

4.

What additional information is needed to prove the triangles are similar by the SAS Similarity Criterion?

a)

$\angle H\cong\angle R$

b)

$\angle F\cong\angle S$

c)

$\angle G\cong\angle I$

d)

$\angle G\cong\angle S$

5.

Find the value for m that makes $\Delta HFG\cong\Delta HFK$ by SSS.

a)

m = 5

b)

m = 3

c)

m = 4

d)

m = 8

6.

Find the value for x that make $\Delta GHM\cong\Delta MPG$ by SSS.

a)

x = 1

b)

x = 3

c)

x = 4

d)

x = 8

7.

Find the value for y that make $\Delta GHM\cong\Delta MPG$ by SSS.

a)

y = 7

b)

y = 11

c)

y = 13

d)

y = 8

8.

Find the value of x that makes the triangles congruent by AAS.

a)

$x=67\degree$

b)

$x=89\degree$

c)

$x=64\degree$

d)

$x=87\degree$

9.

Which statement best explains why $\Delta ABC\cong\Delta IEC?$

a)

$\Delta ABC$ can be mapped onto $\Delta IEC$ using a dilation.

b)

$\Delta IEC$ can be mapped onto $\Delta ABC$ using a reflection.

c)

$\Delta ABC$ can be mapped onto $\Delta IEC$ using a translation.

d)

$\Delta ABC$ can be mapped onto $\Delta IEC\$ using a rotation.

10.

Consider the right triangle DUE and it's reflection, $\Delta FHG,$ as pictured.

Select all reasons that cannot be used to justify why $\Delta DUE\cong\Delta FHG.$

a)

AAA

b)

SAS

c)

SSA

d)

ASA

e)

CPCTC

Triangles

Total questions: 10

Worksheet time: 2hrs 55mins

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