KAP Cumulative 3SW Review

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you convert map distances to actual distances using a scale?

Back

Use the scale ratio to set up a proportion. For example, if 3 inches = 1.25 miles, then for 10 miles, set up the equation: 3 inches / 1.25 miles = x inches / 10 miles.

Front

What is the Pythagorean theorem?

Back

a² + b² = c², where a and b are the legs of a right triangle and c is the hypotenuse.

Front

What transformation does not preserve congruence?

Back

A dilation with a scale factor other than 1 does not preserve congruence.

Front

What is the distance formula in a coordinate plane?

Back

d = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of two corresponding sides of two similar figures.

Front

What is the formula for the area of a triangle?

Back

A = 1/2 * base * height.