Isosceles Triangle Concepts and Applications

This video tutorial from YourTeacher.com explains how to solve for the vertex angle in an isosceles triangle when given a base angle. It covers the isosceles triangle theorem, which states that angles opposite congruent sides are congruent. The tutorial demonstrates setting up an equation using the sum of angles in a triangle to find the unknown angle, resulting in measures of 70, 70, and 40 degrees for the triangle's angles.

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• Over 100

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• Over 450

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In the given problem, what is the measure of the base angle in the isosceles triangle?

• 90 degrees

• 80 degrees

• 70 degrees

• 60 degrees

What is the measure of the vertex angle in the isosceles triangle problem?

• 70 degrees

• 90 degrees

• 100 degrees

• X degrees

According to the isosceles triangle theorem, what can be said about the angles opposite the congruent sides?

• They are supplementary

• They are complementary

• They are congruent

• They are different

If one angle opposite a congruent side measures 70 degrees, what is the measure of the other angle opposite the other congruent side?

• 80 degrees

• 90 degrees

• 70 degrees

• 60 degrees

What is the relationship between the sides and angles in an isosceles triangle?

• Two sides are equal, and the angles opposite them are equal

• All angles are equal

• All sides are equal

• Two angles are equal, and the sides opposite them are different

What is the sum of the measures of the angles in any triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What equation can be set up to find the value of X in the isosceles triangle problem?

• X + 70 + 70 = 180

• X + 60 + 60 = 180

• X + 90 + 90 = 180

• X + 80 + 80 = 180