Geometry Final Review

Front

What is the slope of a line perpendicular to a line with slope 5?

Back

-1/5

Front

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis.

Back

(3,1)

Front

What is the slope of a line perpendicular to a line with slope -6/5?

Back

5/6

Front

Find the midpoint of the segment with the endpoints (4, 12) and (-6, 14).

Back

(-1, 13)

Front

What is the equation for a circle with radius 3 centered at the origin?

Back

x^2 + y^2 = 9

Front

Define the slope of a line.

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the distance formula in a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

How do you find the area of a triangle given its base and height?

Back

Area = 1/2 * base * height.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.