Sewanhaka High School Math 8 Class:________________ Name:________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:_____________________ HW #47: Ditto DO-NOW #47: 2) Write the first six letters of the alphabet as capital letters. Which have line symmetry? 3) Define TRANSFORMATION: Topic: Transformations Main Idea: Line Reflections Aim: RECALL Locate ΔABC by plotting and connecting the following points: A(1, 1) B(4, 1) C(3, 3) Find the image of ΔABC under the reflection in the x-axis. Give the coordinates of A’, B’, and C’. Answer: A(1, 1) → B(4, 1) → C(3, 3) → Find the area of both figures. Does either triangle have line(s) of symmetry? If so, show where they are located. NOTES Page 2. Locate DEFG by plotting and connecting the following points: D(-2, 3) E(2, 3) F(2, 0) G(-2, 0) Find its image under rx-axis. Give the coordinates of D’, E’, F’, and G’. Find the area of each figure. Answer: D(-2, 3) → E(2, 3) → F(2, 0) → G(-2, 0) → Without graphing, find the coordinates of each point under rx-axis. Answer: (x, y) → ( A(2, 1) → B(3, -2) → C(-4, -2) → D(-4, 2) → , ) E(-5, -5) → F(1, 1) → G(3, 0) → H(x, y) → 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 y-axis. 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 HIJ by plotting and connecting the following points: H(1, 5) I(3, 5) J(3, 9) Find the image of HIJK under a reflection in the line y = x. Give the coordinates of H’, I’, and J’ Answer: H(1, 5) → I(3, 5) → J(3, 9) → Find the area of each figure. Answer: Question: Without graphing, find the coordinates of each point under ry = x. Answer: (x, y) → I(3, 1) → J(2, -4) → K(-2, -4) → L(-5, 2) → M(10, 10) → N(0, 4) → P(4, 0) → Q(x, y) → Page 3. Drill: Locate HIJK by plotting and connecting the following points: H(1, 2) I(4, 2) J(3, -1) K(0, -1) Find the image of HIJK under a reflection in the y-axis. Give the coordinates of H’, I’, J’, and K’. Answer: H(1, 2) → I(4, 2) → J(3, -1) → K(0, -1) → Find the area of each figure. Without graphing, find the coordinates of each point under rx-axis. Answer: (x, y) → ( I(3, 1) → J(2, -4) → K(-2, -4) → L(-5, 2) → , ) M(10, 10) → N(0, 4) → P(4, 0) → Q(x, y) → Locate ABCD by plotting and connecting the following points: A(4, 2) B(5, 0) C(8, 0) D(7, 2) Find the image of ABCD under a reflection in the line y = x. Give the coordinates of A’, B’, C’, and D’. Answer: A(4, 2) → B(5, 0) → C(8, 0) → D(7, 2)→ Find the area of each figure. Answer: Summary: