Question

HELPPPP

Drag and drop a statement or reason to each box to complete the proof.

Given: PQ≅PR

Prove: ∠Q≅∠R

Word Bank:
CPCTC
PM≅PM
QM≅RM
Definition of median
SSS Congruence Postulate
HL congruence Theorem

Answer 1

1: QM= RM

2: Definition of midpoint

3: PM=PM

4: SSS Congruence Postulate

5: CPCTC

Explanation:

I took the test

Answer 2

1. Definition of median , 2. QM≅RM , 3. PM≅PM, 4. SSS Congruence Postulate and 5. CPCTC.

Explanation:

The given information is PQ≅PR.

Draw a median PM,

In triangle PQM and PRM,

Statement Reason

PQ≅PR (Given)

QM≅RM (M is Median)

PM≅PM (Reflextion property)

By SSS Congruence Postulate

`\triangle PQM\cong \triangle PRM`

∠Q≅∠R (CPCTC)

Therefore the required solutions for the blanks are

1. Definition of median ,

2. QM≅RM

3. PM≅PM

4. SSS Congruence Postulate

5. CPCTC