Question

Which statement is true?

a) All squares are similar because they all have corresponding sides proportional and all 4 angles are congruent right angles.
b) All right triangles are similar because they all have a right angle.
c) All isosceles triangles are similar because they all have a pair of base angles congruent.
d) All rectangles are similar because they all have 4 right angles.

Answer 1

The correct statement is b) All right triangles are similar because they all have a right angle.

Step-by-step explanation:

The correct statement is b) All right triangles are similar because they all have a right angle.

Similarity refers to when two figures have the same shape, but not necessarily the same size. Two figures are similar if their corresponding angles are congruent, and their corresponding sides are proportional. In a right triangle, one of the angles is always a right angle, so all right triangles have a right angle. However, this does not imply that all right triangles are similar because their side lengths can vary.