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Geometry | Unit 3 | Lesson 1: Scale Drawings | Practice Problems

Total questions: 10

Worksheet time: 23mins

Name
Class
Date
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?

4 lines
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)

63=4a\frac{6}{3}=\frac{4}{a}

b)

64=3a\frac{6}{4}=\frac{3}{a}

c)

34=6a\frac{3}{4}=\frac{6}{a}

d)

63=a4\frac{6}{3}=\frac{a}{4}

e)

64=a3\frac{6}{4}=\frac{a}{3}

3.

Solve each equation. 25=x15\frac{2}{5}=\frac{x}{15}

4 lines
4.

Solve each equation. 43=x7\frac{4}{3}=\frac{x}{7}

4 lines
5.

Solve each equation. 75=28x\frac{7}{5}=\frac{28}{x}

4 lines
6.

Solve each equation. 114=5x\frac{11}{4}=\frac{5}{x}

4 lines
7.

Select the shape that has 180 degree rotational symmetry.

a)

Rhombus

b)

Trapezoid

c)

Isosceles trapezoid

d)

Quadrilateral

8.

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

4 lines
9.

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?

4 lines
10.

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