SY25 Geometry IA2 (Final) Review A

Front

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

Back

The volume V of a rectangular prism is given by the formula V = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point A' from point A(x, y) using a scale factor k, multiply the coordinates by k: A' = (kx, ky).

Tags

CCSS.8.G.A.3

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle A is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos A = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the standard equation of a circle?

Back

The standard equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

Tags

CCSS.HSG.GPE.A.1

Front

How do you determine the radius from the equation of a circle?

Back

From the equation (x - h)² + (y - k)² = r², the radius r is the square root of the constant on the right side: r = √(constant).

Tags

CCSS.HSG.GPE.A.1

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): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

How do you solve for x and y in a system of equations?

Back

To solve for x and y in a system of equations, you can use substitution or elimination methods to find the values that satisfy both equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In dilation, it determines how much larger or smaller the figure becomes.

Tags

CCSS.8.G.A.3

Front

What is the relationship between sine, cosine, and tangent?

Back

In a right triangle, the relationships are: sin A = opposite/hypotenuse, cos A = adjacent/hypotenuse, and tan A = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6