# Lesson 1

Scale Drawings

### Problem 1

Polygon \(Q\) is a scaled copy of Polygon \(P\).

- The value of \(x\) is 6, what is the value of \(y\)?
- 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.

\(\frac{6}{3}=\frac{4}{a}\)

\(\frac{6}{4}=\frac{3}{a}\)

\(\frac{3}{4}=\frac{6}{a}\)

\(\frac{6}{3}=\frac{a}{4}\)

\(\frac{6}{4}=\frac{a}{3}\)

\(\frac{3}{4}=\frac{a}{6}\)

### Solution

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### Problem 3

Solve each equation.

- \(\frac{2}{5}=\frac{x}{15}\)
- \(\frac{4}{3}=\frac{x}{7}\)
- \(\frac{7}{5}=\frac{28}{x}\)
- \(\frac{11}{4}=\frac{5}{x}\)

### Solution

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### Problem 4

Select the** **shape that has 180 degree rotational symmetry.

Rhombus

Trapezoid

Isosceles trapezoid

Quadrilateral

### 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.

1

2

3

4

5

6

7

8

### Solution

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(From Unit 1, Lesson 20.)