Isosceles and Equilateral Triangles

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Tags

CCSS.4.G.A.2

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60°.

Tags

CCSS.4.G.A.2

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°.

Tags

CCSS.8.G.A.5

Front

If two angles of a triangle are equal, what can be said about the sides opposite those angles?

Back

The sides opposite the equal angles are also equal in length.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the angles in an equilateral triangle?

Back

In an equilateral triangle, all angles are equal, each measuring 60°.

Tags

CCSS.4.G.A.2

Front

How do you find the height of an isosceles triangle?

Back

The height can be found by drawing a perpendicular line from the vertex opposite the base to the midpoint of the base.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Tags

CCSS.8.G.B.8

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

In an isosceles triangle, if the base angles are 40°, what is the vertex angle?

Back

The vertex angle is 100° because the sum of the angles in a triangle is 180° (180° - 40° - 40° = 100°).

Tags

CCSS.8.G.A.5

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.