KAP Pythagorean Theorem Review (Test 1-3)

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: c² = a² + b².

Tags

CCSS.8.G.B.8

Front

How do you calculate the diagonal length of a rectangle?

Back

To calculate the diagonal length (d) of a rectangle, use the Pythagorean Theorem: d = √(width² + height²).

Tags

CCSS.8.G.B.7

Front

If a rectangle has a width of 30 cm and a height of 24 cm, what is its diagonal length?

Back

Using the Pythagorean Theorem: d = √(30² + 24²) = √(900 + 576) = √1476 ≈ 38 cm.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the areas of the squares on the sides of a right triangle?

Back

The sum of the areas of the two smaller squares (on the legs) is equal to the area of the larger square (on the hypotenuse).

Tags

CCSS.8.G.B.8

Front

What is the formula for the area of a square?

Back

The area (A) of a square is calculated as A = side², where 'side' is the length of one side of the square.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

How do you find the length of the diagonal of a piece of paper measuring 11 inches tall and 8 inches wide?

Back

Using the Pythagorean Theorem: d = √(11² + 8²) = √(121 + 64) = √185 ≈ 13.6 inches.

Tags

CCSS.8.G.B.8

Front

What is the diagonal length of an iPad that measures 9.2 inches?

Back

The diagonal length is simply the measurement given: 9.2 inches.

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is used in the Pythagorean Theorem.

Tags

CCSS.HSG.CO.C.10

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6