1. Practice Test for Chapter 7 - Transformations
Show PPT in slide show mode from the beginning. Try the problem then click the mouse. The correct answer should appear on the screen.

2. Write the coordinates of the image of P(–2, 5) reflected in the line y = x.
P’(5, -2) Coordinates switch spots with y = x reflection

3. How many lines of symmetry does this figure have
How many lines of symmetry does this figure have? Does the figure have rotational symmetry?
Trapezoid has one line of symmetry vertical and no rotational symmetry.

4. Determine whether △A′B′C′ is a translation image of △ABC
Determine whether △A′B′C′ is a translation image of △ABC. Explain your answer.
No translation because points B and C are in the wrong spots. They reflect instead of translate.

5. Find the image of 𝑊𝑋 with W(7, 1) and X(–4, 5) under the translation (x,y) -> (x – 4, y – 3).

6. Find the image of 𝐴𝐵 with A(–3, 1) and B(–1, 5) under a rotation of 90°clockwise about the origin.

7. Graph △ ABC with vertices A(4, 4), B(3, –2), and C(–1, –1)
Graph △ ABC with vertices A(4, 4), B(3, –2), and C(–1, –1). Then graph the image of △ABC reflected in the y-axis. A’ A C C’ B’ B

8. Find the coordinates of L′′ if △LMN with L(3, 1), M(–1, 6), and N(–3, 2) is rotated 90° counterclockwise about the origin and then reflected in the x-axis.
L”( -1, -3)

9. If AB = 10 and A′B′ = 5, is the dilation an enlargement, reduction, or congruence transformation?

10. Find the measure of the image of 𝑆𝑇 if ST = 4 under a dilation with a scale factor of 3 4 .

11. If ST = 12 and S ′T ′ = 9, find the scale factor of the dilation.
New over old 9/12 reduced is 3/4

12. Draw the image of △MNO under a dilation with center C and a scale factor of 3.

13. What is the order and magnitude of rotational symmetry of a square?
Order is 4 and magnitude is 360/4 = 90o

14. Given △ABC with vertices A(1, 0), B(6, –7), and C(0, –4)
Given △ABC with vertices A(1, 0), B(6, –7), and C(0, –4). Find the coordinates of the vertices of the triangle along the translation vector 〈0, –4〉.
A’(1, -4), B’(6, -11), C’(0, -8)

15. Determine whether each regular polygon will tessellate in a plane
Determine whether each regular polygon will tessellate in a plane. Explain.
Decagon Hexagon
No Yes
(10-2)180 ÷ 10 = (6-2)180 ÷ 6 = 120
360 ÷ 144 = not exact value ÷ 120 = 3 exact value

16. Determine whether each pattern is a tessellation
Determine whether each pattern is a tessellation. If so, describe it as regular, semi-regular, or non-regular and uniform or not uniform.
Yes
Non-regular
uniform
Yes
Semi-regular
uniform
Yes
Non-Regular
Not Uniform

17. State whether the figure has plane symmetry, axis symmetry, both, or neither.
Both plane and axis symmetry
Plane Symmetry Only

18. Copy and reflect figure P in line a and then line b
Copy and reflect figure P in line a and then line b. Then describe a single transformation that maps P onto P’’ (Click 5 x for all answers to appear.) P’ b P
65o P” a
130o clockwise rotation

19. Name the image of AC under the reflection in line m.CA