Sewanhaka High School Math 8 Class:________________ Name:________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:_____________________ H.W. #48: Ditto DO-NOW #48: 1) Locate quadrilateral ABCD by plotting and connecting the following points: A(1, 1) B(1, 4) C(5, 4) D(5, 1) a) Find the area of the figure b) Find the image of ABCD under rx-axis. Label it A’B’C’D’. c) Find the image of ABCD under ry-axis. Label it A’’B’’C’’D’’. d) Find the image of ABCD under ry=x. Label it A’’’B’’’C’’’D’’’ e) Give the coordinates for each figure in parts b, c, and d 2) Add: 2 5 + = 3 9 Topic: Transformations Main Idea: Point Reflections Aim: RECALL NOTES Locate ΔABC by plotting and connecting the following points: A(1, 1) B(1, 4) C(4, 1) Using a ruler, draw a line from point A to the origin. Don’t pick up your ruler. Extend the segment the same distance on the other side. Label the endpoint A’. Do the same for points B and C. Do the same for B and C. Look at the coordinates of the images, how can you find the image of a point under a reflection in the origin without graphing? Find the area of both figures Locate ABCD by plotting and connecting the following points: A(-1, 2) B(-2, 0) C(-5, 0) D(-4, 2) Find the image of ABCD under a reflection in the origin. Give the coordinates of A’, B’, C’, and D’. Answer: A(-1, 2) → Find the area of each B(-2, 0) → figure. C(-5, 0) → D(-4, 2) → Locate point A and point B by plotting the following points: A(-1, 2) B(2, 0) Find the image of A under a reflection in point B. Give the coordinates of A’. (To do this, plot A and B. Show the slope from point A to point B and then use the same slope to go from point B to point A’. It can also be done with a ruler.) Answer: A(-1, 2) → Locate point C and point D plotting the following points: C(2, 4) D(3, 6) Find the image of C under a reflection in point D. Label it C’. Give the coordinates of C’. Answer: C(2, 4) → Pg. 3 DRILL: D’( , E’( , F’( , ) ) ) Find the area of each triangle. How does the size and shape of ∆DEF compare with that of ∆D’E’F’? Locate point E and point F by plotting the following points: E(2, 6) F(-3, 4) Find the image of E under a reflection in point F. Give the coordinates of E’. Answer: E(2, 6) → Locate point C and point D plotting the following points: C(-4, -4) D(1, -7) Find the image of C under a reflection in point D. Label the image C’. Give the coordinates of C’. Answer: C(-4, -4) → Summary: