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5 votes
Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.

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Use the criteria for triangle congruence to complete the statements.
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asked
User Psxls
by
8.6k points

1 Answer

4 votes

Triangle XYZ is congruent to triangle PQR by SSS.

Triangle XYZ is congruent to triangle MNO by SAS.

Triangle XYZ is congruent to triangle STU by RHS

Triangle XYZ is congruent to triangle PQR by:

SSS (Side-Side-Side): All three corresponding sides of triangles XYZ and PQR have the same lengths. For example, XY = PQ, XZ = PR, and YZ = QR.

Triangle XYZ is congruent to triangle MNO by:

SAS (Side-Angle-Side): Two pairs of corresponding sides have the same lengths, and the included angles between those sides are also congruent. For example, XY = MN, YZ = NO, and ∠XYZ = ∠MNO.

Triangle XYZ is congruent to triangle STU by:

RHS (Right-Angle-Hypotenuse-Side): If both triangles are right-angled and the hypotenuse (ST and XY) and a leg (SU and YZ) have the same lengths, then the triangles are congruent by RHS.

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Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.

Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting-example-1
answered
User Trinity
by
7.8k points
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