1. MATH 8 – UNIT 1 REVIEW

2. 12/12/16
1. What would be the new coordinates of (2,4), (3,5), (4,3) and (3,2) if you graphed them on a coordinate plane and rotated them 90° counter clockwise about the origin? What quadrant is the new figure in?
The new coordinates would be: (-3,4), (-5,3), (-4,2), (-2,3) in quadrant II.
2. What is the value of y in the figure below? What is measure of the angle y + 16?
4y = 180; 4y + 80 = 180; 4y = 100; y = 25; measure of the angle is 116.

3. TRANSFORMATIONS

4. Reflect the triangle over the y-axis and give the coordinates of the reflected image.
(9,9)
(5,1)
(3,6)

5. Center of Rotation

6. What is the angle of rotation for the blades of the windmill?
90 degrees

7. If point A is (-19,7), give the ordered pair of A rotated 180 degrees.

8. A triangle has the following vertices: A(-2, 3) B(-5, -7) C(6,8)
A triangle has the following vertices: A(-2, 3) B(-5, -7) C(6,8). Rotate triangle ABC 90 degrees and give the new coordinates.
A’(-3,-2)
B’(7,-5)
C’(-8, 6)

9. Describe a translation transformation
When you can slide the whole design to a position in which it looks exactly the same as it did in the original position.

10. Give the ordered pair of point G(-3, -12) translated by (x+4,y+8).

11. Given points R(18, -7) and R’(11, 11), determine the rule that point R was translated by to get R’
Be able to explain how you got your answer
Take the coordinates of the copy minus the coordinates of the original
R’(11,11) = -7
R(18, -7) = 17
Translated by (x-7, y+17)

12. NAME THE TRANSFORMATION
REFLECTION

13. Contrast similar and congruent figures
Similar figures are the same shape, but not the same size
Congruent figures are the same size and shape

14. Match the types of TRANSFORMATIONS to the following terms: Slide Turn
Flip
Slide – Translation
Turn – Rotation
Flip- Reflection

15. (-9, 9) = ‘(-4, 3) (-5, 1) = ‘(0, -5) (-3, 6) = ‘(2, 0)
Translate the figure below by (x+5, y-6) and list the ordered pairs of the copy image.
(-9, 9) = ‘(-4, 3)
(-5, 1) = ‘(0, -5)
(-3, 6) = ‘(2, 0)

16. Find the scale factor from the first figure to the second figure of the scale drawings below-use the dimensions given: 6 3 2 1 3 4
k = 1/3 3 4
k = 4/3

17. ANGLE MEASURES

19. 129° - they are corresponding angles

20. Which angles are alternate interior angles?

22. At a train station, Track B crosses Track A and Track C, which are parallel to each other. Track A and Track B intersect at an angle of 150° as shown.
What is the measure of the Angle x, formed by the intersection of Track B and Track C?
30°