1. Q2 Given the coordinates of rectangle PQRS and scale factors of 𝒌= 𝟏 𝟒 and 𝒌=𝟒, calculate the coordinates of P’Q’R’S’ and P’’Q’’R’’S’’. Draw the pre-image and P’Q’R’S on graph paper.
Pre – Image
(𝑥, 𝑦)
Image
(𝑥,𝑦)→ 1 4 𝑥, 1 4 𝑦
𝑥,𝑦 →(4𝑥, 4𝑦)
P ( - 4, 0 )
P’ ( , )
P’’ ( , )
Q (- 4, 4 )
Q’ ( , )
Q’’ ( , )
R ( 8, 4 )
R’ ( , )
R’’ ( , )
S ( 8, 0 )
S’ ( , )
S’’ ( , )

3. calculate the coordinates of P’Q’R’S’ and P’’Q’’R’’S’’.
SOLUTION
Given the coordinates of rectangle PQRS and scale factors of 𝒌= 𝟏 𝟒 and 𝒌=𝟒,
calculate the coordinates of P’Q’R’S’ and P’’Q’’R’’S’’.
Pre – Image
(𝑥, 𝑦)
Image
(𝑥,𝑦)→ 1 4 𝑥, 1 4 𝑦
𝑥,𝑦 →(4𝑥, 4𝑦)
P ( - 4, 0 )
P’ ( -1, 0 )
P’’ ( - 16, 0)
Q (- 4, 4 )
Q’ ( -1, 1 )
Q’’ ( - 16, 16 )
R ( 8, 4 )
R’ ( 2, 1 )
R’’ ( 32, 16 )
S ( 8, 0 )
S’ ( 2, 0 )
S’’ ( , 0 )

6. I can determine the coordinates of a dilation on a coordinate plane.
Today’s Objective:
I can determine the coordinates of a dilation on a coordinate plane.

7. .

8. Respond either YES or NO Be ready to justify your answer!
Use your intuition and what you’ve learned about transformations to determine if the following diagrams represent dilations.
Respond either YES or NO
Be ready to justify your answer!

9. Do the figures appear to be dilations?

10. Do the figures appear to be dilations?

11. Do the figures appear to be dilations?NO

12. YES Do the figures appear to be dilations?
The figures are the same shape and their measures are proportionate.

13. Do the figures appear to be dilations?NO

14. Do the figures appear to be dilations?
YES

15. What kind of angles are these?
How do you know?
Supplementary because they total 180

16. What kind of lines are these? How do you know?
Parallel because they have the same slope.

17. What kind of line is the blue line?
How do you know?
Transversal.
Is angle P congruent to angle Q?
Link:

18. What kind of lines are the blue lines? How do you know?

19. What is the measure of angle 8?
How do you know?
53 degrees because they are alternate exterior angles

20. What kind of lines are these? How do you know?
Perpendicular because of the box where they intersect AND their slopes are inverses.

21. What is the measure of angle 2?
How do you know?
65 degrees because they are corresponding angles.

22. What is the measure of angle 2?
How do you know?
135 degrees because 3 and 45 degrees are corresponding angles – 45 = 180.

23. How far is it across
the river?
𝟐𝟎 𝟑𝟔 = 𝒅 𝟒𝟓
d = 25

24. How long is this lake?
𝒅 𝟐𝟎 = 𝟐𝟖𝟎+𝟕𝟎 𝟐𝟖𝟎
d = 25