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91Ó°ÊÓ

Complete the following statements:

Suppose thatΔART≅ΔDEB.

a. ΔEBD≅__

b.AT¯≅__

c.m∠R=__

Short Answer

Expert verified

a.ΔEDB≅ΔRTA

b.AT¯≅DB¯

c.m∠R=m∠E

Step by step solution

01

Step 1- Draw the diagrams.

Consider the diagrams.

02

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

03

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and ΔART≅ΔDEB thusΔEBD≅ΔRTA .

Therefore, the answer isΔRTA .

04

Step 1- Draw the diagrams.

Consider the diagrams.

05

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

06

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and ΔART≅ΔDEB thusAT¯≅DB¯ .

Therefore, the answer isAT¯≅DB¯ .

07

Step 1- Draw the diagrams.

Consider the diagrams.

08

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

09

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and ΔART≅ΔDEB thusm∠R≅m∠E .

Therefore, the answer ism∠R≅m∠E .

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