Lesson 1 Reteach. Exercises Determine if the two figures are congruent by using transformations. 1. G. Congruence and Transformations NAME DATE PERIOD
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1 Lesson 1 Reteach Congruence and ransformations ranslation Reflection Rotation length is the same orientation is the same length is the same orientation is different length is the same orientation is different Example Determine if the two figures are congruent by using transformations. he two triangles are congruent because a rotation followed by a translation will map AAZonto A/iS. Exercises Determine if the two figures are congruent by using transformations. 1. G H N O 2. J Q 99
2 Lesson 1 Skills Practice Congruence and ransformations Determine if the two figures are congruent by using transformations. Explain your reasoning
3 Lesson 1 Homework Practice Congruence and ransformations Determine if the two figures are congruent by using transformations. Explain your reasoning. 1. S R 2. E F H' K C 4. A B 5. GRAPHIC DESIGN he Art Club designed the logo shown. What transformations did they use if the top trapezoid is the preimage and the bottom trapezoid is the image? 6. SCRAPBOOKING Charlotte used a stamp to create the pattern shown. What transformations did she use if parallelogram A is the preimage and parallelogram B is the image? -A B WW
4 Lesson 2 Reteach Congruence if two figures are congruent, their corresponding sides are congruent and their corresponding angles are congruent. Example Write congruence statements comparing the corresponding parts in the congruent triangles shown. Use the matching arcs and tick marks to identify the corresponding parts. Corresponding angles: n ^ = DR, DA = DB, a = DX SA Corresponding = RB, A sides: = BX, S XR Exercises Write congruence statements comparing the corresponding parts in the congruent figures shown R B G 101
5 Lesson 2 Skills Practice Congruence Write congruence statements comparing the corresponding parts in each set of congruent figures. 1. p H ^' W 102 Course 3 Chapter 7 Congruence and Simiiarity
6 NAME DAE Lesson 2 Homework Practice Congruence 1. riangles ABC and GHI are congruent. Write congruence statements comparing the corresponding parts. hen determine which transformation(s) map M B C onto AGHI. 2. Parallelograms CAMP and SIE are congruent. Write congruence statements comparing the corresponding parts. hen determine which transfonnation(s) map parallelogram CAMP onto parallelogram SIE. 3. riangles ZikCV" and ZFZ are congruent. Write congruence statements comparing the corresponding parts. hen determine which transformation(s) map ALMA^ontoAAZ.
7 Lesson 3 Reteach Similarity and ransformations wo figures are similar if the second can be obtained from the first by a sequence of transfomriations and dilations. Recall that a dilation changes the size of a figure by a scale factor, but does not change the shape of the figure. Example 1 Determine if the two figures are similar by using transformations. Since the orientation of the figures is the same, one of the transformations is a translation. Write ratios comparing the lengths of the sides. A B R D C U AB 4 1 BC 2 1 CD 4 1 DA 2 1 ^ = i" 2 'IF = 4 2'7iy = 8 2'= = 4 I Since the ratios are equal, ABCD is the dilated image of RSU. So, the two triangles are similar because a translation and a dilation maps ABCD onto RSU. S Example 2 Determine if the two figures are similar by using transformations. Since the orientation of the figures is the same, one of the transformations. d - i. H 1 RS ~ 7, S ~ 4 2 he ratios are not equal. So, the two triangles are not similar since a dilation did not occur. - A B R C S Exercise 1. Determine if the two figures are similar by using transformations. E H F V G Y W 1 X 105
8 Lesson 3 Skills Practice Similarity and ransformations Determine if the two figures are similar by using transformations. Explain your reasoning
9 Lesson 3 Homework Practice Similarity and ransformations Determine if the two figures are similar by using transformations. Explain your reasoning, 1. M M I I I I I I M I I M 2. A ^ N e / s. c S > >> / / r,,. / G / t F R u X s V w 3. G > J N H / > K M P 4. J / / / / / 1 / / 1 N 0 0 R S 5. MURALS Jenna is creating a mural for her bedroom wall. She would like to copy a picture that is 2 inches by 2.5 inches. She uses a copy machine to enlarge it by a factor of 4. hen she projects it on her wall at a factor of 12. What are the dimensions of the mural? Are the pictures similar? 6. BIOLOGY Mr. Fletcher is looking at a 0.5 millimeter section of plant under a microscope. he plant section appears enlarged by a scale factor of 10 when looking through the microscope. He uses the camera on the microscope to photograph what is seen through the lenses at a scale factor of 20. What is the length of the section of plant in the photograph? 105
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Lesson 1 Homework Practice Congruence and Transformations Determine if the two figures are congruent b using transformations. Eplain our reasoning. 1. S R 2. E F C T H K G L J I 3. 4. 5. GRPHIC DESIGN
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