Honors Coordinate Algebra:
Unit 5 Assessment 2
9-19-15
1) What is the new coordinate of the point (−17, −5) under the translation (𝑥 + 3, 𝑦 − 4)?
2) Point A is located at (4, 7). The point is reflected across the y-axis. Its image is located at ________.
3) Describe the transformation for each of the following: Be specific
a.
b.
c.
d.
e.
f.
(5, 2)
(-4, 3)
(2, -3)
(6, 8)
(9, 2)
(1, 2)
(-5, 2)
(2, 1)
(-3, -2)
(-6, -8)
(9, -2)
(-2, 1)
4) Match the following rotations about the origin to the appropriate function:
1. 90 ͦ
A. (𝑦, −𝑥)
2. 180 ͦ
B. (−𝑦, −𝑥)
3. 270 ͦ
C.(−𝑦, 𝑥)
D. (−𝑥, −𝑦)
5) Where would the point (−9, 6) be after performing all the transformations?
1. (𝑥 − 5, 𝑦 − 3)
2. Reflected over the y-axis.
3. Rotated 270 ͦ
4. Reflected over y-axis
6) Where would the point (4, −7) be after performing all the transformations?
1. Rotated 180 ͦ
2. Reflected over the x-axis
3. Rotated 90 ͦ
4. (𝑥 − 2, 𝑦 + 4)
7) What quadrant will the figure of the image of Jamila’s initial be in after it is reflected over 𝑦 − 𝑎𝑥𝑖𝑠?
8) The parallelogram to the right will be rotated 90 ͦ about
the origin. Which coordinates correspond to one vertex of
the rotated parallelogram?
A. (−6, −2)
B. (−3, −5)
C. (1, −4)
D. (6, 5)
9) Triangle JKL to the left will be translated 4 units left, 3
units down, and then reflected over 𝑥 − 𝑎𝑥𝑖𝑠. Where will
Point L land after the transformations?
10) A ________________ is set of all points in a plane that are a _____________ distance from a given point.
11) _________________ lines intersect to form a right angle.
12) Parallel lines are on the same plane but never __________________.
13) A line ________________ is _________ of a line.
14) An angle is formed by two _________ with a common ________________.
15) A ____________________ mirrors an image across a line.
16) Simplify the Radicals: NO CALCULATORS! SHOW YOUR WORK
A. √24 =
B. 6√12 =
C. 2√32 =
17) Add/Subtract the following: NO CALCULATORS! SHOW YOUR WORK
A. 4√8 + 7√50 =
B. 8√27 − 17√12 =
18) Find the distance from A to B on each of the following:
A. 𝐴(−4,8) 𝐵(12,2)
B. 𝐴(2, −4) 𝐵(6,6)