Exploring Isosceles and Equilateral Triangle Properties

What is the minimum number of equal sides in an isosceles triangle?

• 1

• 2

• 3

• 4

In an isosceles triangle, what is the name of the angle formed by the two equal sides?

• Base Angle

• Supplementary Angle

• Vertex Angle

• Right Angle

What are the angles opposite the equal sides in an isosceles triangle called?

• Vertex Angles

• Base Angles

• Supplementary Angles

• Right Angles

According to the Isosceles Triangle Theorem, if two sides of a triangle are congruent, what can be said about the angles opposite those sides?

• They are complementary

• They are supplementary

• They are congruent

• They are right angles

What is a triangle called if all three sides are equal?

• Right Triangle

• Equilateral Triangle

• Scalene Triangle

• Isosceles Triangle

What is the relationship between equilateral and equiangular triangles?

• All equilateral triangles are equiangular

• Both A and B

• All equiangular triangles are equilateral

• None of the above

In an equilateral triangle, if one side is represented as 6x - 5 and another side as 4x + 7, what is the value of x?

• 5

• 8

• 6

• 7

If the base angles of an isosceles triangle are each represented as x, and the vertex angle is 3x, what is the value of x?

• 45

• 36

• 30

• 40

In an equilateral triangle, if one side is represented as 3y + 9 and another side as 4y - 10, what is the value of y?

• 15

• 30

• 20

• 25

If the length of each side of an equilateral triangle is found to be 31 cm, what was the value of x in the equation 6x - 5 = 4x + 7?

• 7

• 6

• 5

• 8