Question

Which geometry statement is true?

Answer 1

ΔCRQ ≅ ΔCSU by SAS

Explanation:

In ΔCRQ and ΔCSU,

CR = CS (given)

CQ =CU (given)

∠QCR = ∠UCS (vertically opposite angles)

∴ By SAS, ΔCRQ and ΔCSU are congruent

Answer 2

ΔCRQ ≅ ΔCSU by SAS axiom

Explanation:

In ΔQCR and ΔUCS by SSS axiom

QC ≅ UC Given

∡QCR ≅ ∡UCS Vertically Opposite angle

CR ≅ CS Given

ΔQCR ≅ ΔUCS by SAS axiom

By looking respective side and angle

We can say that

ΔCRQ ≅ ΔCSU by SAS axiom