Geometry: Semester 1 Final Exam

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you order angles in a triangle from smallest to largest?

Back

To order angles in a triangle, compare the lengths of the opposite sides. The angle opposite the shortest side is the smallest, and the angle opposite the longest side is the largest.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

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 a reflection in geometry?

Back

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

Front

What is the difference between rotation and translation?

Back

Rotation turns a shape around a fixed point, while translation slides a shape from one position to another without changing its orientation.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

In a right triangle, the Pythagorean theorem states that a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

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.