Question

1. select all that apply: if a triangle is isosceles... two of the sides are congruent the angles opposite (in the video she describes it as matching) the two congruent sides are congruent (these angles are often referred to as the base angles) the triangle is scalene (no sides have equal lengths) two sides have the same length measure

Explanation:

An isosceles triangle is defined as a triangle with at least two congruent (equal - in - length) sides. By the Isosceles Triangle Theorem, the angles opposite the congruent sides (the base angles) are also congruent.

• The statement "two of the sides are congruent" is correct as it is part of the definition of an isosceles triangle.
• The statement "the angles opposite (in the video she describes it as matching) the two congruent sides are congruent (these angles are often referred to as the base angles)" is correct based on the Isosceles Triangle Theorem.
• The statement "the triangle is scalene (no sides have equal lengths)" is incorrect because a scalene triangle has no congruent sides, while an isosceles triangle has at least two congruent sides.
• The statement "two sides have the same length measure" is correct as it is another way of saying two sides are congruent.

Answer:

• two of the sides are congruent
• the angles opposite (in the video she describes it as matching) the two congruent sides are congruent (these angles are often referred to as the base angles)
• two sides have the same length measure