Question 35.

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Presentation transcript:

Question 35

Question 35 Triangle ABC is shown on this coordinate grid. Students can use a calculator on this one. They can also use a piece of graph paper to help them plot what they are supposed to be doing.

Question 35 Part A ∆ABC is rotated 180 degrees clockwise about the origin to form ∆DEF. What are the coordinates of the vertices of ∆DEF? D: E: F: (7, 4) (4, 2) The first thing I did was rotate the triangle 180 degrees clockwise so that I could find out the points it was asking for. I rotated the triangle 180 degrees clockwise and got the following points: A: (7, 4) B: (4, 2) C: (3, 8) You know that A goes with D because it is stated first in the triangle. The letters all follow each other. (3, 8)

Question 35 Part B What conjecture can be made about the relationship between the coordinates of the vertices of an original shape and the coordinates of the vertices of the image of the shape when it is rotated 180 degrees clockwise about the origin? The coordinates of the vertices of the image will have the opposite sign of the coordinates of the vertices of the original shape. The coordinates of the vertices of the image will have the opposite sign of the coordinates of the vertices of the original shape.