# Lesson 1

Scale Drawings

### Problem 1

Polygon $$Q$$ is a scaled copy of Polygon $$P$$.

1. The value of $$x$$ is 6, what is the value of $$y$$?
2. What is the scale factor?

### Solution

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### Problem 2

Figure $$f$$ ​is a scaled copy of Figure $$e$$ .

We know:

• $$AB=6$$
• $$CD=3$$
• $$XY=4$$
• $$ZW=a$$

Select all true equations.

A:

$$\frac{6}{3}=\frac{4}{a}$$

B:

$$\frac{6}{4}=\frac{3}{a}$$

C:

$$\frac{3}{4}=\frac{6}{a}$$

D:

$$\frac{6}{3}=\frac{a}{4}$$

E:

$$\frac{6}{4}=\frac{a}{3}$$

F:

$$\frac{3}{4}=\frac{a}{6}$$

### Solution

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### Problem 3

Solve each equation.

1. $$\frac{2}{5}=\frac{x}{15}$$
2. $$\frac{4}{3}=\frac{x}{7}$$
3. $$\frac{7}{5}=\frac{28}{x}$$
4. $$\frac{11}{4}=\frac{5}{x}$$

### Solution

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### Problem 4

Select the shape that has 180 degree rotational symmetry.

A:

Rhombus

B:

Trapezoid

C:

Isosceles trapezoid

D:

### Solution

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(From Unit 2, Lesson 14.)

### Problem 5

Name a quadrilateral in which the diagonal is also a line of symmetry. Explain how you know the diagonal is a line of symmetry.

### Solution

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(From Unit 2, Lesson 14.)

### Problem 6

In isosceles triangle $$DAC$$, $$AD$$ is congruent to $$AC$$ and $$AB$$ is an angle bisector of angle $$DAC$$. How does Kiran know that $$AB$$ is a perpendicular bisector of segment $$CD$$?

### Solution

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(From Unit 2, Lesson 8.)

### Problem 7

In the figure shown, lines $$f$$ and $$g$$ are parallel. Select all angles that are congruent to angle 1.

A:

1

B:

2

C:

3

D:

4

E:

5

F:

6

G:

7

H:

8

### Solution

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(From Unit 1, Lesson 20.)