Question

If two triangles are congruent, then:

a) They have the same side lengths
b) They have the same angles
c) Rigid transformation maps one onto the other
d) All of the above

Answer 1

Two congruent triangles have the same side lengths, the same angles, and can be mapped onto each other perfectly by a rigid transformation, so the answer is All of the above.

Step-by-step explanation:

If two triangles are congruent, then they have the following properties:

1. They have the same side lengths.
2. They have the same angles.
3. A rigid transformation (such as a translation, rotation, or reflection) can map one triangle onto the other perfectly.

Therefore, the correct answer is:

d) All of the above

Being congruent means that every corresponding part (angles and sides) of one triangle is exactly the same as the corresponding part of another triangle. This is known as the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) property. A rigid transformation is a movement of figures in space that preserves their shape and size, which is essential in mapping one congruent triangle onto another.