(Score for Question 2: ___ of 5 points) Are the triangles below congruent? Use rigid motions to explain whether the triangles in the figure are congruent. Hint: Refer to pg. 17-18 in your reference guide for help.

Is △DWP congruent to △MJS?

Since you don't show your triangles, I'm guessing it is this one...?

△DWP  D = (-2, 4), W = (-1, 2), P = (3, 3)

△MJS  M = (-4, -4), J = (-2, -3), S = (-3, 1)

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Therefore △DWP IS congruent to △MJS.

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