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Lesson 5 Rotations About the Origin

Last updated almost 6 years ago

4 questions

1

Question 1

1.

Question 1 PART 1: Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a clockwise rotation of 180° about the origin.

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1

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Question 2

2.

Question 1 PART 2: Refer to Triangle RST above. AFTER the rotation, what were the coordinates for the vertices for triangle R'S'T' ?

R'(-1, -1) S'(-1, -4) T'(-3, -1)

R'(-1, 1) S'(-1, 4) T'(-3, 1)

R'(1, -1) S'(1, -4) T'(3, -1)

R'(-1, -1) S'(-4, -1) T'(-1, -3)

R'(1, 1) S'(4, 1) T'(1,3)

Question 3

3.

Question 2 PART 1: Quadrilateral KLMN has vertices K(2, 0), L(4, 0), M(5, –2), and N(1, –2). Graph the figure and its rotated image after a counterclockwise rotation of 90° about the origin.

Question 4

4.

Question 2 PART 2: Refer to Quadrilateral KLMN in the question above. What are the coordinates of K ’L’M ’N ’ ?

K'(0, -2) L'(0, -4) M'(-2, -5) N'(-2, -1)

K'(0, 2) L'(0, 4) M'(2, 5) N'(2, 1)

K'(0, -2) L'(0, -4) M'(-2, 5) N'(-2, 1)

K'(0, 2) L'(0, -4) M'(-2, 5) N'(-2, 1)