Regents Questions on Congruency of Triangles

In Δ ABC and Δ DEF, AB = DF and ∠ A = ∠ D . The two triangles will be congruent by S.A.S axiom if

• (a) BC = EF

• (b) AC = DE

• (c) BC = DE

• (d) AC = EF.

The three sides of one triangle are equal to the three corresponding sides of another triangle then the triangle is congruent by ———- criteria.

• SSS Criteria

• SAS criteria

• RHS Criteria

Two sides and their included angles are equal to the corresponding sides and angles of another triangle then the triangles are congruent by ——— criteria.

• A. SSS Criteria

• B. SAS Criteria

• C. RHS Criteria

Two angles and included side of one triangle are equal to corresponding angles and included side of another triangle, and then the triangles are congruent by ———-criteria.

• A. ASA Criteria

• B. SAS Criteria

• C. SSS Criteria

Are the triangles congruent or similar?

• Congruent

• Similar

• 𝑈𝑆=6

• 𝑈𝑆=8

• 𝑈𝑆=14

• 𝑈𝑆=20

Are these figures congruent or similar?

• congruent

• similar

Based on the measurements in the diagram, what is the measure of ∠𝐾?

• 15°

• 30°

• 45°

• 60°

∆EHG≅∆KFC
Which is a true statement?

• EH≅FK

• HG≅KF

• EG≅KC

• ∠E≅∠C

Solve for X

• X = 77

• X = 84

• X = 66

• X = 76