Name:________________ Unit 1 Test Study Guide Date:____________

What does similar mean?

What does congruent mean?

Which transformation makes images similar?

Which transformations makes images congruent?

Dilating a figure by a scale factor greater than 1 results in the image getting _____________. These type of dilations

are known as _______________________.

Dilating a figure by a scale factor less than 1 results in the image getting _____________. These type of dilations are

known as __________________________.

1. Use the image below to determine the sequence of transformations that resulted in ABC becoming GHJ

Which angle in Figure 2 is congruent to:

Angle M

Angle N

Angle O

Angle P

2. Figure 1 is rotated 90° clockwise about the origin.

3. In the image below, Triangle LMN is congruent to Triangle XYZ

Quadrilateral WBGD is reflected over the y axis then translated 6 units down

4. What are the new coordinates of each vertices after the sequence of transformation?

Figure 1 Figure 2

M

N

O

P

C D

A

B

Which sequence of transformation to Triangle LMN will result in Triangle

XYZ?

a. 180° rotation about the origin followed by a reflection across the y axis

b. Translate 5 units up followed by a 180° rotation about the origin

c. 90° CCW rotation followed by a reflection across the x axis

d. Reflect across the y axis followed by a scale factor 1.5 dilation

L

M

N

X

Y

Z

5. Describe the transformation of the BEFORE image to the AFTER image.

6. Describe the transformation that resulted in DLW becoming D’L’W’

7. Describe transformation shown on the coordinate plane below?

H’

S’ M’

H’

H’

K’

Before After

D’

L

W

L’

W’

D

G F

E D G’ F’

D’ E’

In the image below, QRS has been Rotated 270° Counterclockwise.

8. If Angle R measures 74°, what does angle R’ measure? Explain how you know.

9. Describe the transformation shown to the below.

R R’

S S’

T T’

U U’

Q Q’ R’

S’

S R

10. A 4ft tall wall casts a 6ft shadow. The wall stands next to a tree that casts a 24ft shadow. How tall is the tree?

(Hint: 𝑯𝒆𝒊𝒈𝒉𝒕

𝑺𝒉𝒂𝒅𝒐𝒘 =

𝑯𝒆𝒊𝒈𝒉𝒕

𝑺𝒉𝒂𝒅𝒐𝒘 )

11. What is the scale factor of the dilation shown? Is the new image a Reduction or and Enlargement?

Remember Scale Factor (k) is 𝑵𝑬𝑾

𝑶𝑳𝑫

12. Fill in all the missing angle measurements.

13. Fill in all the missing angle measurements if angle 1 equals 129 degrees.

14. If angle 20 measures 65 degrees and angle 11 measure 45 degrees, fill in all the missing angle measurements.

65°

45°

Directions use the diagram below to answer questions 15 - 21.

15. Name 2 sets of alternate interior angles. Are they congruent? Or not? Explain.

16. Name 2 sets of alternate exterior angles. Are they congruent? Or not? Explain.

17. Name a supplementary match to angle 1.

18. Name a supplementary match to angle 2.

19. Name 4 sets of vertical angles. Are they congruent? Or not? Explain.

20. Fill in the blank: Angle 1 corresponds with angle ______.

21. Name 4 sets of corresponding angles.

22. Which vocabulary word describes the equation: 2𝑥 + 43 + 2𝑥 − 3 = 180? Solve for x. Label the angle

measurements.

23. Which vocabulary word describes 3𝑦 + 53 = 7𝑦 − 55? Solve for y. Label the angle measurements.

24. Graph the image on the coordinate plane using the coordinates below. Dilate the image by a scale factor

of 𝟏

𝟐 followed by a translation 5 unit right and 3 unit down. Create a t-chart.

S (0,4), T (-4, 4), L (0, 2), F (-4, 2)

Directions: Use the image below to answer questions 25-30.

Triangle ABC is similar to triangle HGF.

25. What is the scale factor when dilating HGF from ABC?

26. What is the scale factor when dilating ABC from HGF?

27. What does side AB (x) measure?

28. What does side AC (y) measure?

29. If angle A measures 29 degrees, what does angle H measure? WHY????

30. If angle B measures 85 degrees, what does angle G measure? WHY????

31. Fill in all missing angle measurements. x = ___________, y = ___________

x y