Geometry Semester Review

Front

What is a vector in geometry?

Back

A vector is a quantity that has both magnitude and direction, often represented as an arrow.

Front

How do you find the image of a point after a translation?

Back

To find the image of a point after a translation, add the translation vector's components to the original point's coordinates.

Front

What is the midpoint of a line segment?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts, calculated as the average of the x-coordinates and the y-coordinates of the endpoints.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.

Front

What happens to the coordinates of a point after a 180° rotation about the origin?

Back

After a 180° rotation about the origin, the coordinates (x, y) become (-x, -y).

Front

How do you calculate the length of a segment given its endpoints?

Back

The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the coordinates in a Cartesian plane?

Back

Coordinates in a Cartesian plane represent the position of a point relative to two perpendicular axes (x and y).

Front

What is the relationship between the sides of a triangle and its perimeter?

Back

The perimeter of a triangle is directly related to the lengths of its sides; changing any side length will change the perimeter.

Front

What is a 180° rotation in geometry?

Back

A 180° rotation is a transformation that turns a figure around a point (usually the origin) by 180 degrees, effectively flipping it to the opposite side.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.