Unit 4 Review

Front

What does the AA theorem state about triangles?

Back

The AA (Angle-Angle) theorem states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

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.

Front

What is the value of x if 2x + 4 = 20?

Back

x = 8.

Front

What is the process to find the value of x in a linear equation?

Back

To find the value of x in a linear equation, rearrange the equation to isolate x, then solve for its value.

Front

What is the significance of finding the length of a segment in geometry?

Back

Finding the length of a segment is important for solving problems related to distance, perimeter, and area in geometric figures.

Front

What is the formula for the length of a segment between two points (x1, y1) and (x2, y2)?

Back

The length of the segment is given by the formula: length = √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for triangles to be similar?

Back

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

Front

What is the relationship between similar triangles and their side lengths?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

How can you determine if two triangles are similar using side lengths?

Back

You can use the Side-Side-Side (SSS) similarity criterion, which states that if the ratios of the lengths of corresponding sides are equal, the triangles are similar.

Front

What is the value of x if 3x - 5 = 16?

Back

x = 7.