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Name: _______________________________ Due: 5/30 – this counts as 3 hw pts

Transformations Review Sheet #8

What can we say is the general rule for a Rotation of (x, y)?

|O R I G I N A L |R O T A T I O N O F |N E W I M A G E |

|(x , y) |90 degrees | |

|(x , y) |180 degrees | |

|(x, y) |270 degrees | |

|(x , y) |degrees | |

In your own words, what is the rule for a reflection over the y-axis?

In your own words, what is the rule for a reflection over the x-axis?

In your own words, what is the rule for a reflection over the line y = x?

In your own words, what is the rule for a reflection over the line y = -x?

In your own words, what happens when you Translate something?

In your own words, what happens when you Dilate something?

1. Which transformation is not a rigid motion?

(1) [pic] (3) [pic]

(2) [pic] (4) [pic]

2. Which transformation changes orientation?

(1) [pic] (3) [pic]

(2) [pic] (4) [pic]

3.

4. If the dilation D[pic] centered at the origin of point A(12, -8) is A’(-6, 4), the dilation factor k equals what?

5. The image of (4, 7) under a certain translation is the point (2,-6). What is the image of point (-3,-2) under the same translation?

6. What is the image of point (6, -1) under a rotation of 90 clockwise about the origin?

7. The endpoints of [pic] are A(3,2) and B(7,1). If [pic] is the result of transforming [pic] under [pic] what are the coordinates of [pic] and [pic]

[pic]

9. What is the image of (4, -5) under a rotation of 90 counter clockwise about the point (2, -1)?

[pic]

10. Triangle XYZ, shown in the diagram below, is reflected over the line x = 2. State the coordinates of [pic], the image of [pic].

[pic]

11. Given: ∆MAD has coordinates M(-3, 5), A(2, 10), and D(0, -4).

a) State the coordinates of the vertices of ∆M’A’D’, the image of ∆MAD under the composition

R270° [pic] ry-axis.

b) What single translation transformation is equivalent to R270° [pic] ry-axis?

12. In the diagram below, the center of dilation is point O. Find the scale factor. Is this a reduction or an enlargement?

[pic]

13. Find the image of A(2, -1) after a dilation with center (5, 1) and scale factor 3. [pic]

14. If an octagon is rotated around its center, the minimum number of degrees it must be rotated to carry the octagon onto itself is?

[pic]

4. If the line with equation [pic] is translated 4 units down and 2 units left, write an equation that represents the new image.

5.Given points A(-2, 1) and B(4, 10), find the coordinates of the point, C, that sits in a ratio of 1:2 along

the segment [pic], closer to A than it is to B.

[pic]

[pic]

[pic]

Jan ‘16

[pic]

Jan ‘17

[pic]

[pic]

June ‘15

[pic]

.

[pic]

Aug ’15

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