Geometry semester exam review 1

Front

What is the Triangle Inequality Theorem?

Back

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

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides from the two triangles.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line. They are supplementary, meaning their measures add up to 180 degrees.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 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

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal. They are equal in measure.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size. Their corresponding sides and angles are equal.