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
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