Lesson 9 Guess My Parallelogram Practice Understanding

Ready

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.

rectangle with sides 2 and 3 23

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.

a Circle sector with radius of 360 ft and smaller circle sector with radius of 90 ft. 360 ft360 ft90 ft90 ft

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.

Pentagon with sides ABCDE with AB 3 units, BC 4 units, DE 5 units. Pentagon HLKJM with HM 16 units, KL 10 units, and JK 5 units. 34510165

Reproduce each of the drawings using the given scale factor.

4.

Scale Factor

Coordinate plane with a T shape

5.

Scale Factor

Coordinate plane with a stick person with triangle head and body.

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.)

Rhombus QRST with diagonal QS and RT that intersect at M.

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

Rectangle EFGH with diagonals HF and EG that intersect at point M.

Prove: bisects

10.

Given: is a rectangle

Rectangle EFGH with diagonals HF and EG that intersect at point M.

Prove:

11.

Given: and

Kite KITE with diagonal KT and IE that intersect at Point P.

Prove: