Question

Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Answer 1

Explanation:

Diagram 1

• ΔALP ≅ ΔMLN by ASA
• ΔANO ≅ ΔMPO by AAS (angle O is common)

Diagram 2

• ΔMQW ≅ ΔSRW by SSS
• ΔMQR ≅ ΔSQR by SSS (QR is common side)

Diagram 3

• ΔAGR ≅ ΔOGR by SSS
• ΔARO ≅ ΔARF by HL

Diagram 4

• ΔGOS ≅ ΔGTR by ASA (∠G is common)
• ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)