Exploring Similar Figures and Their Ratios

What defines two figures as similar?

• Equal corresponding angles and proportional corresponding sides

• Proportional areas

• Equal corresponding sides and proportional corresponding angles

• Equal perimeters

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the similarity ratio of Knight to Power if side TH is 8 cm and side RE is 10 cm?

• 1 to 1

• 1 to 1.25

• 10 to 8

• 8 to 10

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

How do you find the length of side GH if side WE measures 6 cm?

• Add the lengths of corresponding sides

• Multiply the lengths of all sides by 6

• Divide the perimeter by the number of sides

• Set up a proportion using the similarity ratio

What is the perimeter ratio of Knight to Power if their perimeters are 25.6 cm and 32 cm respectively?

• 10 to 8

• 8 to 10

• 32 to 25.6

• 25.6 to 32

What is the correct way to set up a proportion for solving side lengths in similar figures?

• Multiplying the lengths of corresponding sides

• Adding the lengths of all sides

• Subtracting the lengths of corresponding sides

• Using the similarity ratio

Tags

CCSS.HSG.SRT.A.2

If the perimeter of Trap is 26 cm, what is the perimeter of Zoid given the similarity ratio?

• 17 cm

• 26 cm

• 182 cm

• 43 cm

What is the measure of angle Z in the trapezoid comparison?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

What is the similarity ratio for the sides of Trap to Zoid?

• 1 to 7

• 1 to 9

• 9 to 63

• 1 to 17

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

How tall is the tree if its shadow is 24 ft and the yardstick's shadow is 4 ft?

• 12 ft

• 6 ft

• 24 ft

• 18 ft

Tags

CCSS.HSG.SRT.C.8

Why is it useful to understand similarity ratios in real life?

• To calculate dimensions in scale models and everyday measurements

• To study historical events

• To calculate the area of circles

• To understand chemical equations

Tags

CCSS.7.G.A.1