Interior and Exterior Angles of Triangles

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 degrees.

Front

Define remote interior angles in relation to an exterior angle.

Back

Remote interior angles are the two interior angles of a triangle that are not adjacent to a given exterior angle.

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Front

State the relationship between an exterior angle and its remote interior angles.

Back

The measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

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.

Front

Explain the concept of angle rotation in geometry.

Back

Angle rotation involves turning a point around a fixed point (the origin) by a specified angle, measured in degrees.

Front

What happens to the coordinates of a point when it is rotated 180 degrees around the origin?

Back

When a point (x, y) is rotated 180 degrees around the origin, its new coordinates become (-x, -y).

Front

Define translation in geometry.

Back

Translation is a geometric transformation that moves every point of a shape the same distance in a specified direction.

Front

What is the effect of translating a triangle on its angles and side lengths?

Back

Translating a triangle does not change its angles or side lengths; it only changes its position.