Free Printable Unit 5 Proving Triangles Congruent Review

1.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

e)

HL

2.

What does CPCTC stand for? (a)

When do I use it? (b)

Choose from the below words

Corresponding Parts of Corresponding Triangles are Congruent

Congruent Parts of Corresponding Triangles are Congruent

Corresponding Parts of Congruent Triangles are Con

After Triangles have been proven congruent

When proving segments or angles congruent

3.

Fill in the missing proofs.

a)

SAS(Side-Angle-Side)

b)

Reflexive Property

c)

Vertical Angles Theorem.

d)

Transitive Property

e)

SSS(Side-Side-Side)

4.

What is the "statement" for step 2? (a)

What is the statement for step 3? (b)

What is the reason for step 4? (c)

What is the reason for step 5? (d)

Choose from the below words

$\overline{HD}\cong\overline{DN}$

$\overline{AD}\cong\overline{AD}$

SAS

CPCTC

Prove

ASA

\angle HAD\cong\angle NAD

5.

What is the reason for step 2? (a)

What is the "statement" for step 3?

(b)

What is the reason for step 4? (c)

Choose from the below words

Given

$\angle AED\cong\angle BEC$

ASA

\angle EDA\cong\angle EBC

SAS

CPCTC

6.

When using hypotenuse leg (HL) in a proof, what must be true ...

Choose all that apply

a)

Prove two angles congruent

b)

Must have two right triangles

c)

hypotenuses must be congruent

d)

a pair of legs must be congruent.

e)

both sets of legs must be congruent

7.

What is the "reason" for step 5 of the proof?

a)

Angle Bisector Theorem

b)

Reflexive property

c)

CPCTC Theorem

d)

Proof

8.

If L is the midpoint of TJ, what must be true?

a)

$TL\cong JT$

b)

$JL\cong TJ$

c)

$TL\cong LJ$

d)

T is also the midpoint of JL

9.

If DA bisects IE, then

a)

$ID\cong ED$

b)

$IA\cong EA$

c)

$\angle IDA\cong\angle EDA$

d)

$\angle IAD\ and\ \angle EAD\ are\ right\ angles$

10.

Find the measure of x.

(a)

11.

Which additional information will prove the triangles congruent by HL?

a)

GH≅SR

b)

FG≅RT

c)

FH≅ST

d)

GH≅ST

12.

Find x

(a)

13.

a)

A

b)

B

c)

C

d)

D

14.

Find the measure of ∠BDE.

(a)

15.

Find the measure of ∠CED.

(a)

16.

What additional information can we conclude?

a)

∠ADB and ∠ADC are right angles

b)

∠B≅∠C

c)

∠BAD≅∠CAD

d)

None of the above

17.

Find m∠ABD.

(a)

18.

∆DEF is isosceles with DE = EF. Which of the following statements is ALWAYS true?

a)

m∠F < m∠E

b)

m∠E = m∠D

c)

DF = DE

d)

m∠D = m∠F

19.

State if the two triangles are congruent. If so, state how you know.

a)

Yes, HL

b)

Yes, SAS

c)

Yes, AAS

d)

Yes, SSS

e)

No, the triangles are not congruent

20.

State if the two triangles are congruent. If so, state how you know.

a)

Yes, HL

b)

Yes, AAS

c)

Yes, SSS

d)

Yes, SAS

e)

No, the triangles are not congruent

21.

State if the two triangles are congruent. If so, state how you know.

a)

Yes, HL

b)

Yes, AAS

c)

Yes, SAS

d)

Yes, ASA

e)

No, the triangles are not congruent

22.

State if the two triangles are congruent. If so, state how you know.

a)

Yes, HL

b)

Yes, SAS

c)

Yes, AAS

d)

Yes, ASA

e)

No, the triangles are not congruent

23.

State if the two triangles are congruent. If so, state how you know.

a)

Yes, HL

b)

Yes, SSS

c)

Yes, SAS

d)

Yes, ASA

e)

No, the triangles are not congruent

24.

What is the value of y?

(Hint: You will need to solve for x first)

(a)

25.

Solve for x.

(a)

26.

Find the measure of angle y. (a) degrees

27.

$\Delta XYZ\ is\ given\ with\ \overline{XY}\cong\overline{YZ.}\ If\ the\ m\angle x\ =\ \left(3x+3\right)\degree\ and\ m\angle z=\left(2x+22\right)\degree\$ Classify the triangle. By its sides (a) By its angles (b)

(Draw a picture to help.)

Choose from the below words

equilateral

acute

isosceles

scalene

obtuse

right

28.

What is the length of FD? (a) units

What is the length of FE? (b) units

What is the length of ED? (c) units

If the $m\angle F=68\degree$ , what is the $m\angle D$ ? (d) Classify the triangle by its sides. (e)

Choose from the below words

5.1

4.2

$44\degree$

68\degree

6

isosceles

equilateral

29.

Given $Given\ \Delta XYZ\ and\ \Delta DFE,\ m\angle x=50\degree,\ m\angle D=50\degree,\ \overline{XY}=12,\overline{XZ}=8.6,\overline{DE}=12,\ \overline{DF}=8.6$ Is $\Delta YXZ\cong\Delta FED$ ? If so, what postulate or theorem tells you so?

a)

Yes, the triangles are congruent by SAS

b)

Yes, the triangles are congruent by ASA

c)

No, the triangles are not congruent.

30.

Choose the correct postulate or theorem

If two sides of a triangle are congruent, then their opposite angles are congruent.

(a)

If two angles of a triangle are congruent, then the opposite sides are congruent.

(b)

Choose from the below words

The Isosceles Triangle Theorem

Converse to the Isosceles Triangle Theorem

Alternate Interior Angles Theorem

Vertical Angles Theorem

Unit 5 Proving Triangles Congruent Review

Total questions: 30

Worksheet time: 45mins

Similar Resources on Wayground