Pythagorean Theorem and Angles Test Review

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). It can be expressed as: a² + b² = c².

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are equal.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that are on opposite sides of a transversal and outside two parallel lines. They are equal.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal. They are equal.

Front

If one side of a right triangle is 60 in and the other side is 80 in, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 60² + 80²; c² = 3600 + 6400; c² = 10000; c = 100 in.

Front

If one angle measures 30 degrees, what is the measure of its complementary angle?

Back

The complementary angle measures 60 degrees (90 - 30 = 60).