Unit 5 FLASHCARD: Angles & Pythagorean Theorem {SKILLS DEV}

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

Front

What are the conditions for a set of numbers to be the sides of a right triangle?

Back

A set of numbers can be the sides of a right triangle if they satisfy the Pythagorean Theorem: a² + b² = c², where c is the longest side.

Front

How do you find the angles of a triangle given their ratio?

Back

To find the angles of a triangle given their ratio, first add the parts of the ratio together to find the total parts. Then, divide 180° by the total parts to find the value of one part. Multiply the value of one part by each part of the ratio to find the angles.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Front

If m∠D + m∠C = 180°, what does this imply about angles D and C?

Back

This implies that angles D and C are supplementary angles.

Front

What is the measure of an angle that is complementary to a 45° angle?

Back

The measure of an angle that is complementary to a 45° angle is 45°, since complementary angles sum to 90°.

Front

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

Back

You can determine if a triangle is a right triangle by checking if the square of the longest side equals the sum of the squares of the other two sides using the Pythagorean Theorem.

Front

What is the smallest angle in a triangle with angles in the ratio 2:3:4?

Back

The smallest angle is 40°.

Front

If one angle of a triangle is 135°, what is the measure of the other angle if the two angles are supplementary?

Back

The measure of the other angle is 45°.