3b Review - Smith

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the lengths of corresponding sides of the triangles.

Front

What is a y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x=0.

Front

Given the equation y = 3/4x + 2, what is the y-intercept?

Back

The y-intercept is 2.

Front

What is 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

How do you determine the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, m represents the slope.

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

If a blueprint shows a living room with dimensions scaled down, how do you find the actual dimensions?

Back

Multiply the dimensions on the blueprint by the scale factor to find the actual dimensions.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is equal to the tangent of the angle it makes with the positive x-axis.

Front

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

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).