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Which of the congruence statements should Noah make?

A) Sides AX and HM are corresponding, so AXPDS ≌ HMZDS.
B) Sides AX and MH are corresponding, so AXPDS ≌ MHZDS
C) Sides AS and MH are corresponding, so AXPDS ≌ MHZSD.
D) Sides PX and HM are corresponding. so AXPDS ≌ HMSDZ

1 Answer

6 votes

Final answer:

The correct congruence statement is B) Sides AX and MH are corresponding, so AXPDS ≌ MHZDS, ensuring corresponding sides and angles match.

Step-by-step explanation:

The correct congruence statement Noah should make is B) Sides AX and MH are corresponding, so AXPDS ≌ MHZDS. Congruence between geometric figures, such as triangles, means they have the same size and shape. This means all corresponding sides and angles of the triangles are equal. To establish congruence, we must show that each side and angle of one triangle can be matched with a corresponding side and angle of another triangle. Making a congruence statement involves carefully reading the notation and ensuring that the corresponding parts are in the same order. Since the question does not provide a visual, it's crucial to rely on the congruence criteria such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Angle-Angle-Side (AAS) and to make sure that the correct parts are stated as corresponding in the congruence statement.

User Mike Li
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