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Open Up - Grade 7 - Mathematics - Unit 1 - Lesson 4

Last updated 11 months ago

7 questions

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Question 1

1.

Select all the statements that must be true for any scaled copy Q of Polygon P.

The angle measures are all whole numbers.

The side lengths are all whole numbers.

If the scale factor between P and Q is \frac{1}{5} then each side length of P is multiplied by \frac{1}{5} to get the corresponding side length of Q.

Q has 2 acute angles and 3 obtuse angles.

Q has exactly 1 right angle.

If the scale factor is 2, each angle in P is multiplied by 2 to get the corresponding angle in Q.

Question 2

2.

Here is Quadrilateral ABCDPQRS.
Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD. Point P corresponds to A, Q to B, to R, and S to D.

If the distance from P to R is 3 units, what is the distance from Q to S? Explain your reasoning.

Question 3

3.

Figure 2 is a scaled copy of Figure 1.
Identify the points in Figure 2 that correspond to the points A and C in Figure 1. Label them P and R. What is the distance between P and R?

Question 4

4.

Figure 2 is a scaled copy of Figure 1.
Identify the points in Figure 1 that correspond to the points O and S in Figure 2. Label them B and D. What is the distance between B and D?

Question 5

5.

Figure 2 is a scaled copy of Figure 1.
What is the scale factor that takes Figure 1 to Figure 2?

Question 6

6.

Figure 2 is a scaled copy of Figure 1.
G and H are two points on Figure 1, but they are not shown. The distance between G and H is 1. What is the distance between the corresponding points on Figure 2?

Question 7

7.

To make 1 batch of lavender paint, the ratio of cups of pink paint to cups of blue paint is 6 to 5. Find two more ratios of cups of pink paint to cups of blue paint that are equivalent to this ratio.

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