Summary document for dilation, frequency tables, and Pythagorean theorem

Revision Worksheet – Term 2 Final – Gr.8
Standard Code :8. G.3
Lesson 2.2
Explore Dilations:
Q1) Find the dilated coordinates with the given scale factor.
Reduction or
Preimage Scale Factor Image
Enlargement
𝑃(−5, −6), 𝑃′ (−10, −12)
Enlargement,
𝑄(−1, 2), 𝑄′ (−2, 4)
2 because:
𝑅(4, 4), 𝑅′ (8, 8)
2>1
𝑆(1, −3) 𝑆 ′ (2, −6)
𝑊(−3, 4), 𝑊 ′ (−4.5, 6)
Enlargement,
𝑋(−8, 1), 𝑋 ′ (−12, 1.5)
1.5 because:
𝑌(−4, −3), 𝑌 ′ (−6, 4.5)
1.5 > 1
𝑍(−1, −5) 𝑍 ′ (−1.5, −7.5)
𝑄(−1, 1), 𝑄′ (−8, 8)
Enlargement,
𝑅(−3, −1), 𝑅′ (−24, −8)
8 because:
𝑆(1, −2), 𝑆 ′ (8, −16)
8>1
𝑇(4, 2) 𝑇 ′ (32, 16)
Enlargement,
𝐴(2, 6), 𝐴′ (3, 9)
3 because:
𝐵(8, 4), 𝐵′ (12, 6)
2 3
𝐶(6, 10) 𝐶 ′ (9, 15) >1
2
Reduction,
𝐹(−6, 10), 𝐹 ′ (−3,5)
1 because:
𝐺(2, −4), 𝐺 ′ (1, −2)
2 1
𝐻(8, 7) 𝐻′ (4, 3.5) <1
2
𝑃(−5, −6), 𝑃′ (15, 18)
Enlargement,
𝑄(−1, 2), 𝑄′ (3, −6)
−3 because:
𝑅(4, 4), 𝑅′ (−12, −12)
3>1
𝑆(1, −3) 𝑆 ′ (−3, 9)




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, 𝟏
Q2a) Dilate the figure with scale factor of and center (0, 0), Graph and connect the
𝟐
image of the vertices.


𝐾(4,2) 𝐾 ′ (2 , 1)
𝐿(4,8) 𝐿′ (2 , 4)
𝑀(10,2) 𝑀′ (5 , 1)
𝑁(10,8) 𝑁 ′ (5 , 4)
10
9
8 𝐿 𝑁
7
6
5
4
3
2
1 𝐾 𝑀
0
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 6 7 8 9 10 11

-2
-3
-4
-5
-6
-7
-8
-9
-10




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