Unit 5 Test Study Guide

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = (1/2) * base * height.

Front

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

Back

To find the height, rearrange the area formula: height = (2 * Area) / base.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance formula is: Distance = sqrt((x2 - x1)² + (y2 - y1)²).

Front

How do you calculate the slope from an equation in standard form, Ax + By = C?

Back

To find the slope, rearrange the equation to slope-intercept form (y = mx + b) where m is the slope.

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope is 2.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How do you determine the area of a triangle with a base of 10 m and a height of 5 m?

Back

Area = (1/2) * base * height = (1/2) * 10 * 5 = 25 m².

Front

What is the height of a triangle if its area is 50 ft² and the base is 10 ft?

Back

Height = (2 * Area) / base = (2 * 50) / 10 = 10 ft.