KAP Fall Review

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation. It determines how much larger or smaller the image will be compared to the original shape.

Tags

CCSS.8.G.A.3

Front

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3

Tags

CCSS.8.G.A.3

Front

How do you solve the equation 5k + 21 = 17k - 3?

Back

To solve for k, first combine like terms: 5k - 17k = -3 - 21, which simplifies to -12k = -24. Then, divide both sides by -12 to get k = 2.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

Calculate the volume of a fish-tank with length 45 cm, width 25 cm, and depth 10 cm.

Back

11250 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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

Do the side lengths 13, 80, and 81 form a right triangle?

Back

No, they do not form a right triangle.

Tags

CCSS.8.G.B.8

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.

Tags

CCSS.8.G.B.7

Front

What is the solution to the equation 5k + 21 = 17k - 3?

Back

k = 2

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, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6