ALGEBRA 2 WKST - Sault Ste. Marie Area Public Schools ...



Proof Geometry Name __________________________________hour____

SG 9.1-9.3 & 9.5

Chapter 9 Study Guide 9.1-9.3 , 9.5-9.6 Date:_____/_____/_____ Score : ______/ = _______%

Graph the original figure. Perform the indicated transformations. Label the image vertices and shade the image.

1. Dilate the following polygon 2. Reflect [pic] with A(3, 5) 3. Reflect Quad ABCD with A(-3, 2)

using a center of (-3, 2) with a B(-1, 2) C(-3, -4)over the x-axis. B(5, 2) C(3, -4) D(-2, -3) over the line

scale factor of 2. y = x.

4. Reflect EFGH with 5. Quad ABCD with A(-3, 1) 6. Rotate the figure 90 (

E(-4, 5),F(4, 5),G(4, -1) B(2, 3) C(4, -3) D(-2, -4) clockwise about R

H(-4, -1) over y = 1 under the translation

(x, y)((x ( 2, y + 4)

7. Rotate [pic] with A(-2, 4) 8. Dilate Quad ABCD with A (-1, 2) 9. Reflect [pic] with A(-1, 3)

B (3,2) and C(5, -2) 90 ( B(3,1) C(4, -3) D(-3, -2) centered B(-3, -2) C (3, 1) over the x-axis,

clockwise about the origin. at the origin with a scale factor of 2. Then reflect the result once over

the line x = 1.

10. Rotate [pic] with A(2, 3), 11. The large rectangle is a 12. Translate (STW using the rule

B(3, 6) and C(5, 2) 180( clockwise dilation of the small rectangle (x, y) → (x – 3, y + 2)

about the origin, then translate using a scale factor of 2. What

the result 5 units to the right. are the best coordinates of the

center point of the dilation?

Write the component form of each vector. Find the magnitude and direction of the vector. No work—no credit.

13. XZ with X(3, 2), Z(2, 1)

graph this in standard position

Component: __________

Magnitude:__________

Direction:________

14.

Component:__________

Magnitude:________

Direction:________

15. Find the magnitude and direction of the resultant vector given the two vectors. Graph the resultant vector in standard position.

[pic] [pic]

Resultant vector:____________

Magnitude:_________________

Direction:__________________

16. Consider (ABC.

a. Translate (ABC using the rule (x, y) → (x + 1, y – 2).

Then translate its image, (A′B′C′, using the rule

(x, y) → (x +3, y – 5). Label the final image (A″B″C″.

b. Give the ordered pair rule for the single transformation

that is equivalent to the composition of these two translations.

___________________________________________

c. Give the ordered pair rule for the single transformation

that will bring (A″B″C″ back to (ABC.

___________________________________________

17. What is the measure of rotation if vertex 2 18. A jet begins a flight along a path due north at

is moved counter clockwise to the current 300 miles per hour. A wind is blowing due west

position of vertex 5? at 30 miles per hour.

a. Find the resultant velocity of the plane.

b. Find the resultant direction of the plane.

The measure of rotation is ______________. Velocity:_____________ Direction:_____________

-----------------------

(

A

C

B

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download