Geometry

advertisement

Geometry

Quiz 12-1 to 12-3, 12-7 Version A

Name:___________________________

1. Matching

– match the definition with the correct corresponding term.

____ Isometry

____ Line of reflection

____ Translation

____ Reflection

____ Rotation

____ Dilation

A.

The ratio of a linear measurement of the image to a corresponding measurement of the preimage; represented by k .

B.

A figure before any transformation has taken place (the original figure).

C.

A transformation that moves a figure by flipping it across a line.

____ Center of rotation

____ Reduction

____ Image

____ Preimage

____ Scale factor

____ Enlargement

D.

A transformation that does not change the shape or size of a figure.

E.

A dilation with k > 1.

F.

The line that a figure is reflected over.

G . A transformation where all the points of a figure are moved the same distance in the same direction (slide).

H.

A dilation with 0 < k < 1.

I.

A figure after a transformation has taken place.

J.

A transformation that changes the size of a figure, but not the shape.

K.

A transformation that turns a figure around a fixed point.

L A fixed point about which a figure is rotated.

3.

2. Is the transformation an isometry?

Rotation: Yes or No

Dilation: Yes or No

Translation: Yes or No

Reflection: Yes or No

Rotate the figure with the given vertices through the origin using the given angle of rotation.

4. 5.

9.

Identify the transformation (reflection, translation, rotation, or dilation).

6.

7. 8.

10.

Draw the image of the figure with the given vertices under a dilation with the given scale factor centered at the origin.

11. A(3,0), B (0, -2) C(-4, 0) D(0, 2);

Scale factor 3

12. M(3, -6) N(0, -6) O (0, 0) P(3, 0);

Scale factor -1/3

13. The preimage of M’ has coordinates (-6, 5).

What is the vector that translates

∆MNP to

∆M’N’P’?

< , >

14. In a video game, a character at (8, 3) moves three times, as described by the translation vectors below. What is the position of that character after the three moves?

( , )

Move 1: <2, 7>

Move 2: <-10, -4>

Move 3: <1, -5>

Download