Right Triangle Congruence Theorems

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

• Hypotenuse-Leg Theorem

• Leg-Leg Theorem

• Leg-Acute angle Theorem

• Hypotenuse-Acute angle Theorem

State the theorem use to prove the given figure.

• Hypotenuse-Leg Theorem

• Leg-Leg Theorem

• Leg-Acute angle Theorem

• Hypotenuse-Acute angle Theorem

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

•  $\angle R$  

•  $\angle A$  

•  $\angle T$  

•  $\angle M$  

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

• 3

• 6

• 9

• 12

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

• HyL

• LL

• HyA

• LA

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

• HyL

• LL

• HyA

• LA

Given the figure name the corresponding congruent parts using HyL Theorem

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

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

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

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

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

• $\overline{IP\ }\cong\ \overline{PA}$

• $\overline{DI\ }\cong\ \overline{DA}$

• $\angle A\ \cong\angle I$

• $\angle P\cong\angle D$

State the theorem to prove that the given figure is congruent

• HyL

• LL

• LA

• HyA

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

• $\angle ETA\ \cong\angle ADE$

• $\angle EAT\cong\angle AED$

• $\angle TAE\ \cong\angle ADE$

• $\angle DEA\ \cong\ \angle ETA$