Unit 1 Review-- IF YOU CAN DO ALL OF THESE, YOU CAN HANDLE THE TEST! Extra Credit if completed and turned in MONDAY!

Unit 1 Review

1. 

a.       What transformations to triangle B would produce triangle A?

b.      What transformation of triangle E would produce triangle C?

2. 

a.       What type of transformation occurred above? Be specific in your answer (ex: reflected over ____ axis, translated _ units up/down and _ units to the right/left, rotated ___ degrees  clock/counter-clock wise, dilated with a scale factor of __).

3.      

a.       If you translated figure ABC two units to the left and one down, what would be the new coordinates of point A?

b.      If you translated figure ABC three units to the left and four down, what would be the new coordinates of point B?

c.       If you rotated ABC 90 degrees clockwise about the origin, what would the new coordinates of point C be?

d.      If you rotated ABC 180 degrees about the origin, what would the new coordinates of point A be?

e.      If you reflected ABC over the y-axis, what would the new coordinates of point B be?

f.        If you reflected ABC over the x-axis what would the new coordinates of point C be?

4. 

a.       The N on the left is the original image. The N on the right is the transformed image. What transformation occurred?

b.      Are the letters congruent?

c.       How do we know they are congruent?

5. When a figure is dilated, the resulting figure is similar, congruent, or altogether different from the original figure?

6. When a figure is rotated, the resulting figure is similar, congruent, or altogether different from the original figure?

7.  When a figure is reflected, the resulting figure is similar, congruent, or altogether different from the original figure?

8.  Point A is (2,8), point B is (8,8), point C is (8,4), and point D is (2,4).

a.       Graph these points onto a coordinate grid and connect them to form a rectangle.

b.      If rectangle ABCD is dilated with a scale factor of ½ to form rectangle A’B’C’D’, what would the new coordinates of A’, B’, C’, and D’ be?

c.       Graph these new points on the same grid and connect them to form a new, smaller rectangle.

d.      Is this new rectangle A’B’C’D’ similar to or congruent to the original rectangle ABCD?

                                                               i.      How do you know? Support your answer.

9. Angle N is 58 degrees. Angle S is 62 degrees.

                  a. What is the measure of the third, unmarked angle of the triangle?

                  b. What is the measure of angle D? Justify your answer using the vocabulary

                  term that describes it's relationship to another angle.