Geometry Benchmark

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

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

What is the Pythagorean theorem?

Back

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).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the difference between the X-axis and Y-axis?

Back

The X-axis is the horizontal axis in a coordinate plane, while the Y-axis is the vertical axis.

Front

How do you find the missing angle in a triangle?

Back

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

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

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 definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

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 sides are proportional.