Scale Factors and Area Relationships

Scale Factors and Area Relationships

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the concept of dilation in geometry, focusing on how scale factors affect the area and perimeter of various shapes, including circles, trapezoids, triangles, polygons, and parallelograms. It also explores the relationship between scale factors and cross-sections of solids, and concludes with an application of trigonometric functions to determine angle measures.

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the scale factor if a circle's area changes from 8π cm² to 32π cm²?

16

8

4

2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a trapezoid's area increases from 100 to 6400 square units, what is the scale factor?

64

32

16

8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the perimeter change when a shape is dilated by a scale factor of 3?

It triples

It doubles

It quadruples

It remains the same

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which graph represents the relationship between scale factor and area?

Graph C

Graph A

Graph B

Graph D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new area of a polygon with an original area of 10 square units and a scale factor of 4?

40

200

100

160

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times larger is the area of a dilated parallelogram if the scale factor is 2?

3 times

4 times

2 times

5 times

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which solid has cross-sections that are dilations of a 2D shape?

Cylinder

Cube

Cone

Triangular Prism

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of angle A if the adjacent side is 28 and the hypotenuse is 53?

28/45

45/53

53/28

28/53