Similarity Indirect Measurement

What is ratio of any two corresponding sides?

• Scale Factor

• Corresponding Sides

• Similar Figures

Are the following similar? Why or why not?

• Yes, because the corresponding angles are congruent.

• No, the numbers are even

• No, the sides are 2 times larger, but the width is the same.

Q1. How many apples are there?

• A) 5

• B) 10

• C) 12

• D) 15

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)

• 16 feet

• 21 feet

• 24 feet

• 28 feet

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

• 205
• 105
• 230
• 135

A man is 6 feet tall and his shadow is 2 feet long.

How long is the shadow of a 5 feet tall woman?

(Hint: make a picture of two triangles)

• 15 feet

• 2.4 feet

• 1.6 feet

• 1 foot

A young tree casts a lunchtime shadow of 4.2 feet. The 3 foot mail box casts a late afternoon shadow of 2.8 feet.

How tall is the young tree?

(Hint: draw triangles and label them)

• The young tree is 3.92 feet tall.

• The young tree is 2 feet tall.

• The young tree is 4.5 feet tall.

• The young tree is 5 feet tall.

Find the height of the building

• 74ft

• 100ft

• 104ft

• 108ft

What is the length of line AC?

• 10

• 12

• 15

• 20