4-7 Isosceles (PRE)

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 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 value of x in an isosceles triangle when given one angle?

Back

If one angle is given, you can use the property that the sum of angles in a triangle is 180° to find the other angles.

Front

If two angles of an isosceles triangle are 75° each, what is the value of the third angle?

Back

The third angle is 30° (180° - 75° - 75° = 30°).

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

If the base of an isosceles triangle is 10 cm and the height is 8 cm, what is the area?

Back

The area is 40 cm² (Area = 1/2 * 10 * 8 = 40).

Front

What is the relationship between the sides and angles in an isosceles triangle?

Back

The larger the angle, the longer the side opposite to it.

Front

How do you solve for x in an equation involving isosceles triangles?

Back

Set up the equation based on the properties of isosceles triangles and solve for x.

Front

If x is the vertex angle of an isosceles triangle and the base angles are 40°, what is the value of x?

Back

x = 100° (180° - 40° - 40° = 100°).

Front

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

Back

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