Question

question 3 of 10
which best completes the following sentence?
triangles are congruent if they have the same ________.

a. size and shape
b. name and shape
c. name
d. size

Explanation:

To determine the correct answer, we recall the definition of congruent triangles. Congruent triangles are defined as triangles that have exactly the same size and shape. This means all corresponding sides and angles are equal. Option B is incorrect because the name of a triangle (e.g., equilateral, isosceles) doesn't determine congruence, and two triangles with the same name can have different sizes. Option C is incorrect as the name alone has no bearing on congruence. Option D is incorrect because just having the same size is not enough; they must also have the same shape (i.e., corresponding angles must be equal). So the correct option is A.

Answer:

A. size and shape