8.5 and 8.9 Test Review Flashcardizz - Angles and Pythagorean Theorem

Front

What is a right triangle?

Back

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

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

How can you determine if a triangle is a right triangle using side lengths?

Back

You can use the Pythagorean Theorem. If the square of the longest side equals the sum of the squares of the other two sides, the triangle is a right triangle.

Front

What are supplementary angles?

Back

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

Front

Give an example of two supplementary angles.

Back

An example of two supplementary angles is 100° and 80°.

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

The distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

If a triangle has sides of lengths 10, 11, and 18, which equation would NOT verify the Pythagorean Theorem?

Back

11² + 18² = 10² would NOT verify the Pythagorean Theorem.

Front

What is the measure of the hypotenuse in a right triangle with legs measuring 3 and 4?

Back

Using the Pythagorean Theorem: c² = 3² + 4², so c = 5.

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 an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.