Midsegments, Isosceles and Equilateral Triangles Practice

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If BD=16, EA=5 and FC=3, what is the perimeter of ∆ABC?

Back

48

Front

What is the property of isosceles triangles regarding their angles?

Back

In an isosceles triangle, the angles opposite the equal sides are equal.

Front

If an isosceles triangle has a base angle measuring 40°, what is the measure of the vertex angle?

Back

100°

Front

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

Back

The sum of the interior angles of a triangle is always 180°.

Front

If triangle ABC is equilateral, what is the measure of each angle?

Back

Each angle in an equilateral triangle measures 60°.

Front

What is the formula for the perimeter of an equilateral triangle?

Back

The perimeter of an equilateral triangle is P = 3a, where 'a' is the length of one side.

Front

What is the measure of angle X if it is part of an equilateral triangle?

Back

60°

Front

If the base of an isosceles triangle is 10 cm and the equal sides are 13 cm, what is the height of the triangle?

Back

The height can be found using the Pythagorean theorem, resulting in approximately 12 cm.

Front

What is the relationship between the sides and angles in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.