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Lesson 5 Menu

Determine whether a regular quadrilateral tessellates the plane. Explain. Determine whether a regular octagon tessellates the plane. Explain. Determine whether a semi-regular tessellation can be created from a triangle and a square. Assume each figure has a side length of 1 unit.

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Lesson 5 Menu

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  1. Determine whether a regular quadrilateral tessellates the plane. Explain. • Determine whether a regular octagon tessellates the plane. Explain. • Determine whether a semi-regular tessellation can be created from a triangle and a square. Assume each figure has a side length of 1 unit. • Determine whether a semi-regular tessellation can be created from a pentagon and a square. Assume each figure has a side length of 1 unit. Lesson 5 Menu

  2. Determine whether a dilation is an enlargement, a reduction, or a congruence transformation. • Determine the scale factor for a given dilation. • dilation • similarity transformation Lesson 5 MI/Vocab

  3. Lesson 5 KC1

  4. Lesson 5 TH1

  5. A. Find the measure of the dilation image C′D′ using the given scale factor for CD = 15, r = 3. Determine Measures Under Dilations Theorem 9.1 Multiply. Answer: 45 Lesson 5 Ex1

  6. B. Find the measure of the preimage using the given scale factor for Multiply each side by Determine Measures Under Dilations Theorem 9.1 Answer: 10.5 Lesson 5 Ex1

  7. A. Find the measure of the dilation image A′B′ using the given scale factor for AB = 16, r = –2. • A • B • C • D A. 2 B. 4 C. 8 D. 32 Lesson 5 CYP1

  8. B. Find the measure of the preimage using the given scale factor for A′B′ = 24, r = . • A • B • C • D A. 16 B. 36 C. 48 D. 18 Lesson 5 CYP1

  9. Lesson 5 KC2

  10. Since the dilation is an enlargement of trapezoid PQRS. Draw . Since r is negative, P', Q', R', and S' will lie on the opposite side of point C. Draw a Dilation Draw the dilation image of trapezoid PQRS with center C and r = –3. Lesson 5 Ex2

  11. Since the dilation is an enlargement of trapezoid PQRS. Locate P', Q', R', and S' so that Draw a Dilation Draw the dilation image of trapezoid PQRS with center C and r = –3. Lesson 5 Ex2

  12. Since the dilation is an enlargement of trapezoid PQRS. Draw a Dilation Draw the dilation image of trapezoid PQRS with center C and r = –3. Answer: Draw trapezoid P'Q'R'S'. Lesson 5 Ex2

  13. Which diagram shows the dilation image of ΔLMN with center C and ? A. B. C.D. • A • B • C • D Lesson 5 CYP2

  14. Lesson 5 TH2

  15. COORDINATE GEOMETRY Trapezoid EFGH has vertices E(–8, 4), F(–4, 8), G(8, 4) and H(–4, –8). Find the image of trapezoid EFGH after a dilation centered at the origin with a scale factor of Sketch the preimage and the image. Dilations in the Coordinate Plane Lesson 5 Ex3

  16. Dilations in the Coordinate Plane Answer:E'(–2, 1), F'(–1, 2), G'(2, 1), H'(–1, –2) Lesson 5 Ex3

  17. A. B. C.D. none of the above COORDINATE GEOMETRY Triangle ABChas vertices A(–1, 1), B(2, –2), and C(–1, –2). Find the image of ΔABC after a dilation centered at the origin with a scale factor of 2. Sketch the preimage and the image. • A • B • C • D Lesson 5 CYP3

  18. Identify Scale Factor A. Determine the scale factor used for the dilation with center C. Determine whether the dilation is an enlargement, reduction, or congruence transformation. Lesson 5 Ex4

  19. Answer: Identify Scale Factor image lengthpreimage length Simplify. Since the scale factor is less than 1, the dilation is a reduction. Lesson 5 Ex4

  20. Identify Scale Factor B. Determine the scale factor used for the dilation with center C. Determine whether the dilation is an enlargement, reduction, or congruence transformation. Lesson 5 Ex4

  21. Identify Scale Factor image lengthpreimage length Simplify. Since the image falls on the opposite side of the center, C, than the preimage, the scale factor is negative. So the scale factor is –1. The absolute value of the scale factor equals 1, so the dilation is a congruence transformation. Answer: –1; congruence transformation Lesson 5 Ex4

  22. A.2; enlargement B. C. D.1; congruence transformation A. For the green preimage, determine the scale factor used for each dilation with center C. Determine whether the dilation is an enlargement, reduction, or congruence transformation. • A • B • C • D Lesson 5 CYP4

  23. A.2; enlargement B. C. D.3; enlargement B. For the green preimage,determine the scale factor used for each dilation with center C. Determine whether the dilation is an enlargement, reduction, or congruence transformation. • A • B • C • D Lesson 5 CYP4

  24. Scale Drawing Sharetta built a frame for a photograph that is 20 centimeters by 25 centimeters. The frame measures 400 millimeters by 500 millimeters. Which scale factor did she use? The photograph’s dimensions are given in centimeters, and the frame’s dimensions are in millimeters. You need to convert from millimeters to centimeters in the problem. Lesson 5 Ex5

  25. Step 1 Convert from millimeters to centimeters. or 40 centimeters Scale Drawing Step 2 Find the scale factor. frame lengthphoto length Simplify. Answer: Sharetta used a scale factor of 2 to build the frame. Lesson 5 Ex5

  26. Ruben is making a scale drawing of the front of his house. His house is 48 feet wide and 30 feet high at its highest point. Ruben decides on a dilation reduction factor of What size poster board will he need to make a complete drawing? • A • B • C • D A. 19 in. by 26 in. B. 22 in. by 30 in. C. 20.5 in. by 28 in. D. 16 in. by 29 in. Lesson 5 CYP5

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