7th Grade Unit 3 Review

Vocabulary Review - what is the difference between congruent and similar?

• Congruent figures are identical in shape and size, while similar figures have the same shape but different sizes.

• Congruent figures have the same shape but different sizes, while similar figures are identical in shape and size.

• Congruent figures are different in shape and size, while similar figures are identical in shape and size.

• Congruent figures have the same size but different shapes, while similar figures have the same shape and size.

What is the first step when dividing by a decimal, using 18 divided by 2.58 as an example?

• Multiply both the dividend and the divisor by 10 until the divisor is a whole number.

• Divide the dividend by the divisor directly.

• Convert the divisor to a fraction.

• Subtract the divisor from the dividend repeatedly.

The ratio of penguins to sharks to giant sea turtles at Sea World in San Antonio is 6:4:1. Sea World has 36 sharks. How many penguins are there at Sea World?

• 54

• 60

• 72

• 90

The ratio of penguins to sharks to giant sea turtles at Sea World in San Antonio is 6:4:1. Sea World has 36 sharks. How many giant sea turtles are there at Sea World?

• 6

• 9

• 12

• 15

The ratio of penguins to sharks to giant sea turtles at Sea World in San Antonio is 6:4:1. Sea World has 36 sharks. How many penguins, sharks and sea turtles are there at Sea World?

• 54 penguins, 36 sharks, 9 sea turtles

• 60 penguins, 36 sharks, 6 sea turtles

• 48 penguins, 36 sharks, 12 sea turtles

• 42 penguins, 36 sharks, 7 sea turtles

The distance from Amarillo to Houston is approximately 600 miles. For social studies, Angela needs to make a map with a scale of 1 inch represents 40 miles. What will be the scaled distance in inches from Amarillo to Houston on Angela’s map?

• 15 inches

• 20 inches

• 25 inches

• 30 inches

The winner of the buffalo wing eating contest in 2024 ate 80 wings in 2.5 minutes. In 2023, the winner ate 42 wings in 3.5 minutes. What are the rates per minute for 2024 and 2023? In 2024, the winner ate ___________ buffalo wings per minute.

• 32

• 28

• 30

• 34

The winner of the buffalo wing eating contest in 2024 ate 80 wings in 2.5 minutes. In 2023, the winner ate 42 wings in 3.5 minutes. What are the rates per minute for 2024 and 2023? In 2023, the winner ate ___________ buffalo wings per minute.

• 12

• 10

• 15

• 8

Which characteristics can be used to prove that a set of quadrilaterals are similar?

• Corresponding angles are equal

• Corresponding sides are proportional

• Diagonals are equal

• All sides are equal

Triangle ABC is similar to Triangle DEF. The Triangles are shown with side lengths in inches. What is the ratio of the sides of Triangle ABC to Triangle DEF?

• 1:1

• 2:1

• 3:2

• 4:3

Answer explanation

Since Triangle ABC is similar to Triangle DEF, the ratio of their corresponding sides is constant. Given the side lengths, the ratio simplifies to 3:2, making the correct answer 3:2.