Question

complete the following flow proofs by filling in the missing reasons to prove that the two triangles are congruent. if something is already marked, write “given”. 6. ∠srx≅∠srq sr≅sr △rxs≅△rqs xr≅qr

Explanation:

Step1: Identify the first given side

Given

Step2: Identify the reflexive property side

Reflexive property of congruence ($\overline{SR}\cong\overline{SR}$ because a segment is congruent to itself)

Step3: Identify the second given side

Given

Step4: Determine congruence criterion

Side - Angle - Side (SAS) congruence postulate (We have two pairs of congruent sides $\overline{XR}\cong\overline{QR}$ and $\overline{SR}\cong\overline{SR}$, and the included angle $\angle SRX\cong\angle SRQ$)

Answer:

1. Given
2. Reflexive property of congruence
3. Given
4. SAS congruence postulate