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.

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 degrees).

Front

What is the property of angles in an isosceles triangle?

Back

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

Front

How do you find the height of an isosceles triangle?

Back

To find the height, draw a perpendicular line from the vertex opposite the base to the midpoint of the base.

Front

What is the congruence statement for triangles?

Back

A congruence statement indicates that two triangles are congruent, meaning they have the same size and shape. It is written as ΔABC ≅ ΔDEF.

Front

If ΔABC ≅ ΔDEF, what can we conclude about their corresponding angles?

Back

If ΔABC ≅ ΔDEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

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

Back

In a triangle, the larger the angle, the longer the side opposite that angle.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), or ASA (Angle-Side-Angle).

Front

What is the significance of the base angles in an isosceles triangle?

Back

The base angles in an isosceles triangle are equal, which is a key property used in solving problems related to isosceles triangles.