Triangles def and d'e'f' are shown on the coordinate plane below:

d1

2 +e

se 1+

-8-7

75-4-3-2-1 1 1 2

3 4

5 6

7

8

d

what rotation was applied to triangle def to create triangle d'e'f'?

c 90° counterclockwise

90° clockwise

none of the above

180°

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

What is the slope of the line (-7,2) (4,6)

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte