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Warm UP!

Warm UP!. Homework Questions?. Missing Measures in Similar Figures. The two triangles are similar. Find the missing side lengths and the missing angles. B. E. 70 o. 100 cm. 90 cm. 200 cm. 180 cm. 50 o. A. C. D. F. 111 cm.

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Warm UP!

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  1. Warm UP!

  2. Homework Questions?

  3. Missing Measures in Similar Figures The two triangles are similar. Find the missing side lengths and the missing angles. B E 70o 100 cm 90 cm 200 cm 180 cm 50o A C D F 111 cm

  4. The two triangles are similar. Find the missing side lengths and the missing angle measures. 104 cm B K 60 cm 120 cm A 65o G 45o 50 cm C L

  5. These two triangles are similar. 1. Find the missing length x. 2. Find the measure of < J. 3. Find the missing length y. 4. Find the measure of < P. 5. Susan is making a wood deck from plans for an 8 ft by 10 ft deck. However, she is going to increase its size proportionally. If the length is to be 15 ft, what will the width be? 30 in. 36.9° 4 in. 90° 12 ft

  6. Similar Triangles Task

  7. Activator On the following few slides, you will see a series of different transformations. Determine each transformation based on the images. Reflections Glide Reflections Translations Rotations Basic Transformations

  8. Instruction Key Concepts • Two figures are similar if and only if there is a similarity transformation that maps one figure onto the other. • Rigid Motions: Glide reflections, reflections, translations, and rotations are the only four rigid motions (isometries) in a plane. Notation • The notation for the different transformations is as follows: • Reflections Raxis/line • Rotations rdegree/direction • Translations T<x,y> • Dilations Dk

  9. Indicate the transformed coordinate for (3,-5) according to the given notation: • D0.5 = (1.5, -2.5) • Ry-axis = (-x, y) = (-3, -5) • R270CCW = (y,-x) = (-5, -3) • T<2,-4> = (3 + 2, -4 – 5) = (5,-9) • T<-10,7> & D2 = (-7,2) -> (-14,4) This last problem is an example of a similarity transformation

  10. Instruction Example Problem #1 ΔDEF has vertices D(2, 0), E(1, 4), and F(4, 2). What is the image of ΔDEF when you apply the composition ?

  11. Instruction Example Problem #2 What is a composition of rigid motions and a dilation that maps ΔRST to ΔPYZ?

  12. Instruction Are these figures similar? Explain.

  13. Instruction Is there a similarity transformation that maps ΔJKL to ΔRST? If so, identify the similarity transformation.

  14. Instruction • What is the similarity transformation of the following image?

  15. Instruction Make a list of the transformations using the correct notation.

  16. Practice • Flip over to the back of the task from earlier. Complete all the problems 

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