Question

1. part a

select the correct choices to complete the sentence.
complete the explanation to determine if the following statement must be true, could possibly be true, or definitely cant be true.
an equilateral triangle and a right triangle are similar.
________ be true. a right triangle has a 90° angle in it, and an equilateral triangle ______ have a 90° angle. they ________ be similar, as corresponding angles in similar fig must have the same measure.

Explanation:

Step1: Analyze the angles of an equilateral triangle

An equilateral triangle has three angles each of \(60^{\circ}\).

Step2: Compare with a right - triangle's angles

A right - triangle has one angle of \(90^{\circ}\). For two triangles to be similar, their corresponding angles must be equal. Since \(90^{\circ}
eq60^{\circ}\), an equilateral triangle and a right - triangle cannot have all corresponding angles equal.

Answer:

Definitely can't; does not; can't