Exploring Isosceles and Equilateral Triangles

The video tutorial covers the properties and theorems related to isosceles and equilateral triangles. It explains that an isosceles triangle has at least two congruent sides, and the angles opposite these sides are also congruent. The isosceles triangle theorem and its converse are discussed. The video also clarifies the difference between equilateral and equiangular triangles, noting that in equilateral triangles, all sides and angles are equal, and each angle measures 60 degrees.

What is the minimum number of congruent sides an isosceles triangle must have?

• None

• Three

• Two

• One

In an isosceles triangle, what is the angle between the two congruent sides called?

• Base angle

• Vertex angle

• Right angle

• Supplementary angle

What is the base of an isosceles triangle?

• The side opposite the vertex angle

• Any side

• The longest side

• The side between the congruent sides

According to the isosceles triangle theorem, if two sides of a triangle are congruent, what can be said about the angles opposite these sides?

• They are congruent

• They are supplementary

• They are right angles

• They are complementary

What does the converse of the isosceles triangle theorem state?

• If two angles are congruent, their opposite sides are congruent

• If two sides are congruent, the triangle is equilateral

• If two angles are congruent, the triangle is right-angled

• If two sides are congruent, the triangle is scalene

What does 'equilateral' mean in the context of triangles?

• Two angles are equal

• All angles are equal

• All sides are equal

• Two sides are equal

What is the relationship between equilateral and equiangular triangles?

• Both statements are true

• Equiangular triangles are always equilateral

• Equilateral triangles are always equiangular

• Neither statement is true

If all sides of an equilateral triangle are 7 units, what can be said about its angles?

• All angles are 60 degrees

• All angles are 90 degrees

• All angles are 120 degrees

• All angles are 45 degrees

What is the sum of the interior angles of any triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

In an equilateral triangle, if one angle measures 60 degrees, what are the measures of the other two angles?

• 60 degrees each

• 120 degrees each

• 90 degrees each

• 45 degrees each