Understanding Isosceles and Equilateral Triangles

The video tutorial explores solving problems involving isosceles and equilateral triangles. It begins with an introduction to the properties of these triangles and proceeds to solve for unknown angles in various triangle configurations. The tutorial demonstrates how to use congruent base angles and supplementary angles to find missing angle measures, emphasizing the sum of angles in a triangle and the properties of equilateral triangles. The final problem involves calculating unknown angles in an isosceles triangle using known angle properties.

What is the property of an isosceles triangle regarding its sides?

• All sides are different.

• No sides are equal.

• Two sides are equal.

• All sides are equal.

If two angles in a triangle are 31 degrees each, what is the measure of the third angle?

• 62 degrees

• 118 degrees

• 31 degrees

• 90 degrees

In a triangle, if one angle is supplementary to 118 degrees, what is its measure?

• 45 degrees

• 90 degrees

• 118 degrees

• 62 degrees

If a triangle has two angles measuring 62 degrees each, what is the measure of the third angle?

• 56 degrees

• 62 degrees

• 60 degrees

• 118 degrees

What is the measure of each angle in an equilateral triangle?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

In an isosceles triangle with a vertex angle of 90 degrees, what is the measure of each base angle?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

If a triangle has angles measuring 60, 60, and 60 degrees, what type of triangle is it?

• Scalene

• Isosceles

• Right

• Equilateral

In a triangle, if two angles are equal and the third angle is 36 degrees, what is the measure of each of the equal angles?

• 54 degrees

• 36 degrees

• 72 degrees

• 90 degrees

What is the sum of all angles in any triangle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

In an isosceles triangle, if one angle is 36 degrees, what is the sum of the other two angles?

• 144 degrees

• 90 degrees

• 108 degrees

• 72 degrees