G8 winter exam 2024 (study guide)

Front

If two angles in a triangle are 55° and 85°, what is the third angle?

Back

The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 55° - 85° = 40°.

Front

Solve for x: 2(x + 3) = 4x - 6

Back

To solve for x, first expand the left side: 2x + 6 = 4x - 6. Then, rearranging gives x = 6.

Front

In a pair of similar triangles, if one side of the first triangle is 6 units and the corresponding side of the second triangle is 9 units, what is the scale factor?

Back

Front

If a triangle has angles measuring x°, 52°, and 73°, what is the value of x?

Back

The sum of angles in a triangle is 180°. Therefore, x = 180° - 52° - 73° = 55°.

Front

What are alternate interior angles when a transversal intersects two parallel lines?

Back

Alternate interior angles are angles on opposite sides of the transversal and inside the parallel lines.

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

What is the formula for the area of a triangle?

Back

Front

What is the Pythagorean theorem?

Back

Front

What is a transversal in geometry?

Back

A transversal is a line that intersects two or more other lines at distinct points.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.