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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.
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17 votes
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.

Highlight and name a pair of overlapping congruent triangles in each diagram. State-example-1
Highlight and name a pair of overlapping congruent triangles in each diagram. State-example-1
Highlight and name a pair of overlapping congruent triangles in each diagram. State-example-2
Highlight and name a pair of overlapping congruent triangles in each diagram. State-example-3
Highlight and name a pair of overlapping congruent triangles in each diagram. State-example-4
User Rosswil
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1 Answer

22 votes
22 votes

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)

User Peter Kronenberg
by
2.5k points
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