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nata0808 [166]
3 years ago
8

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.

Mathematics
2 answers:
zavuch27 [327]3 years ago
6 0

Answer:

1. ONA and OMP, AAS

2. MRQ and SRQ, SSS

3. ARF and ROA, HL

4. GOS and GRT, AAS

Lesechka [4]3 years ago
6 0

Step-by-step explanation:

<u>Diagram 1</u>

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

<u>Diagram 2</u>

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

<u>Diagram 3</u>

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

<u>Diagram 4</u>

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

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