4:44 . 50 X Jaylin M... IM 9-12 MATH Unit 6 GEOMETRY Coordinate Geometry Lesson 1 Rigid Transformations in the Plane Learning Target: Let's try transformations with coordinates. iN Illustrative Mathematics Kendall Hunt Traversing the Plane Warm-up 1. How far is point A from point A 5- B? Explain. 4 3 2 B 2. What transformations will take point A to point B? 5 4 3 2 -10 2 3 5 X illustrative Mathematics Unit 6 . Lesson 1 . Activity 1 Kendall Hunt Transforming with Coordinates First, predict where each transformation will land. 10 Next, carry out the transformation. 1. Rotate Figure H clockwise using center (2,0) by 90 degrees. Translate the image by the directed N line segment from (2,0) to (3,-4). -10 8 -4 -2 0 10 X Label the result R.iN Illustrative Mathematics Unit 6 . Lesson 1 . Activity 2 Kendall Hunt Congruent by Coordinates 1. Calculate the length of each side in triangles ABC and DEF. WAKE F m C 2. Calculate the measure of each angle in triangles ABC and DEF. N A B 3. The triangles are congruent. How D do you know this is true? 6 -5 -3 -2 -10 2 3 4 4. Because the triangles are congruent, there must be a sequence of rigid motions that takes one to the other. Find a sequence of rigid motions that takes triangle ABC to triangle DEF. Illustrative Unit 6 . Lesson 1 . Activity 3 Kendall HuntCongruent by Coordinates 1. Calculate the length of each side in triangles ABC and DEF. 4 F E C 2. Calculate the measure of each angle in triangles ABC and DEF. 2 D A B 3. The triangles are congruent. How do you know this is true? -6 -5 -4 -3 -2 -10 N W 4 5 X 4. Because the triangles are congruent, there must be a sequence of rigid motions that takes one to the other. Find a sequence of rigid motions that takes triangle ABC to triangle DEF.Rigid Transformations in the Plane Work with your partners to find a set Lesson Synthesis of coordinates that forms a triangle 5 congruent to END. Then write a proof E showing the triangles are congruent. 4 N -5 -4 -3 2 10 3 5 -2 D -3 -5 illustrative Mathematics Unit 6 . Lesson 1 Kendall HuntWork with your partners to find a set Lesson Synthesis of coordinates that forms a triangle un congruent to END. Then write a proof showing the triangles are congruent. N 5 -4 -3 2 10 2 -2 D -3 -5 iN Illustrative Mathematics Unit 6 . Lesson 1 Kendall Hunt