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Right Triangle Congruence Theorems

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What theorem do you use to prove the given figure is congruent?

a)

Hypotenuse-Leg Theorem

b)

Leg-Leg Theorem

c)

Leg-Acute angle Theorem

d)

Hypotenuse-Acute angle Theorem

2.

State the theorem use to prove the given figure.

a)

Hypotenuse-Leg Theorem

b)

Leg-Leg Theorem

c)

Leg-Acute angle Theorem

d)

Hypotenuse-Acute angle Theorem

3.

By Leg-Acute angle Theorem, complete the congruence statement  K  \angle K\ \cong\ _{------}  .

a)

 R\angle R  

b)

 A\angle A  

c)

 T\angle T  

d)

 M\angle M  

4.

 ΔKIMΔRAT , KI  IM, RA  AT,  \Delta KIM\cong\Delta RAT\ ,\ \overline{KI\ }\perp\ \overline{IM},\ \overline{RA}\ \perp\ \overline{AT},\ \    KI = 6 and AT =3\overline{KI}\ =\ 6\ and\ \overline{AT}\ =3  , what is the measure of  RA\overline{RA}  ?

a)

3

b)

6

c)

9

d)

12

5.

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

a)

HyL

b)

LL

c)

HyA

d)

LA

6.

State if the two triangles in the figure are congruent, If they are, state how you know.

a)

HyL

b)

LL

c)

HyA

d)

LA

7.

Given the figure name the corresponding congruent parts using HyL Theorem

a)

DE AT & AE EA\overline{DE}\ \cong\overline{AT}\ \&\ \overline{AE}\ \cong\ \overline{EA}

b)

DE ET & AE EA\overline{DE}\ \cong\overline{ET}\ \&\ \overline{AE}\ \cong\ \overline{EA}

c)

DE AT & AE AD\overline{DE}\ \cong\overline{AT}\ \&\ \overline{AE}\ \cong\ \overline{AD}

d)

DE AT & AE TE\overline{DE}\ \cong\overline{AT}\ \&\ \overline{AE}\ \cong\ \overline{TE}

8.

What additional information do you need to prove that the given figure is congruent by HL Theorem

a)

IP PA\overline{IP\ }\cong\ \overline{PA}

b)

DI DA\overline{DI\ }\cong\ \overline{DA}

c)

A I\angle A\ \cong\angle I

d)

PD\angle P\cong\angle D

9.

State the theorem to prove that the given figure is congruent

a)

HyL

b)

LL

c)

LA

d)

HyA

10.

What additional information do you need to prove the given figure by HyA Theorem?

a)

ETA ADE\angle ETA\ \cong\angle ADE

b)

EATAED\angle EAT\cong\angle AED

c)

TAE ADE\angle TAE\ \cong\angle ADE

d)

DEA ETA\angle DEA\ \cong\ \angle ETA