Date CP Geometry Review Han

Name _____________________________________________________________
CP Geometry
Review Handout
“T”ranslations
“R”eflections
𝑅𝑥−𝑎𝑥𝑖𝑠
𝑅𝑦−𝑎𝑥𝑖𝑠
𝑅𝑦=𝑥
𝑅𝑥= 𝑎 𝑛𝑢𝑚𝑏𝑒𝑟
“r”otations
Glide Reflection
Composition of Transformations
Rigid (Isometry) vs. Non-rigid
Transformations
Dilations
Ratio vs. Proportion
Scale Factor
Similar Polygons
𝑅𝑦= 𝑎 𝑛𝑢𝑚𝑏𝑒𝑟
𝑟90°
𝑟180°
𝑟270°
Date ________________________________
Chapter 9 and 7.1 to 7.2
1. ∆R′S′T′ is a translation image of ∆RST.
What is a rule for the translation?
2. Is a glide reflection a rigid motion? Explain.
Find the coordinates of the vertices of each image.
3. Ry-axis(QRST)
4. r(270°, O)(QRST)
5. D5(QRST)
6. T<2, −5> (QRST)
7. (Ry = −2 ○ T<−4, 0>)(QRST)
Write a single transformation or another composition of transformations that has the same
effect as each of the following:
8. T<6, 7> ○ T<−10, 7>
9. Rx = 6 ○ Rx = 1
10. Ry = 2 ○ T<0, 1>
Identify the rigid motion that maps the solid-line figure onto the dotted-line
figure.
11.
12.
Find the image of each point for the given dilation. Is it an enlargement or reduction?
13. L (6, 4); D1. 2(L)
14. S(−2, −6); D0. 25(S)
Write a congruence or similarity statement for the two figures in each coordinate grid. Then
write a congruence transformation or similarity transformation that maps one figure to the
other.
15.
16.
17.
18.
19.
Explain the transformation 𝐷−3 .
20.
If a point A has coordinates (-3, 4), what are the coordinates of the image of A
under (𝑅𝑥−𝑎𝑥𝑖𝑠 °𝐷2 )?
21.
Find the coordinates of the image of (-8, -4) under the transformation (𝐷1 ° 𝑟(90°,
22.
If the coordinates of P are (-2, 7), what are the coordinates of (𝐷2 ° 𝑅𝑦 = 𝑥 )?
23.
The lengths of the sides of a triangle are in the extended ratio 3 : 6 : 8. The triangle’s
perimeter is 510 cm. What are the lengths of the sides?
2
𝑜) ).
24.
Draw a triangle that satisfies this condition: The ratio of the interior angles is 7: 11:12.
25.
Solve.
2n − 9 3 − n
=
7
4
Find the value of z. Give the scale factor of the polygons.
26.
∆JKL ~ ∆QRS
27.
For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft.
The Parthenon is 228 ft long. How long should you make the building in your scale drawing?
28.
In the diagram below, ∆NOP ~ ∆WXY . Find each of the following.
the scale factor of ∆NOP to ∆WXY

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