# Lesson 9Guess My ParallelogramPractice Understanding

Use the given scale drawings to find the desired actual lengths and areas.

### 1.

Jordan’s living room is a rectangle represented in the scaled drawing with a scale factor of .

Find the perimeter and the area of the real-life size living room.

### 2.

The figures shown are scale drawings of a quarter sector of a circle. Use them to determine the scale factor for both enlarging the smaller figure to create the larger one and also for shrinking the larger figure to create the smaller one. Then find the areas of the sectors and explain how they are related.

Scale Factor from small to big:

Scale Factor from big to small:

Area of small sector:

Area of large sector:

Explanation of relationship between the areas:

### 3.

The scale drawing of two pentagons has some corresponding sides labeled with the number of units they measure.

Use these given sides to find the scale factor and determine each of the missing side lengths.

Reproduce each of the drawings using the given scale factor.

Scale Factor

Scale Factor

## Set

Use the given information and the diagram to prove each statement. Create a proof idea and be sure your reasoning is logical. Justify your statements.

(Hint: Consider using congruent triangles or transformations.)

### 6.

Given: is a Rhombus

Prove: bisects

### 7.

Given: is a Rhombus

Prove:

### 8.

Given: is a Rhombus

Prove: bisects

## Go

Use the given information and the diagram to prove each statement. Create a proof idea and be sure your reasoning is logical. Justify your statements. (Hint: Consider using congruent triangles or transformations.)

### 9.

Given: is a rectangle

Prove: bisects

### 10.

Given: is a rectangle

Prove:

Given: and

Prove: