Warm Up 1. Dilations: 2. Similar Figures: A 1.6-m-tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same.

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Presentation transcript:

Warm Up 1. Dilations: 2. Similar Figures: A 1.6-m-tall woman stands next to the Eiffel Tower. At this time of day, her shadow is 0.5 m long. At the same time, the tower’s shadow is m long. How tall is the Eiffel Tower?

Compositions TranslationsReflections Rotations Dilations & Similarity

Topic 1 – 100 Points QUESTION: Write the translation rule for the following: 7 to the left and 3 up ANSWER: (x, y)  (x – 7, y + 3)

Topic 1 – 200 Points QUESTION: Describe the translation using a translation rule ANSWER: (x, y)  (x + 4, y – 3)

Topic 1 – 300 Points QUESTION: ∆ABC has vertices at A(0, 5), B(4, 4), and C(  1, 0). Find the coordinates of ∆ABC for the translation (x,y) (x-4, y+6) ANSWER: A’(-4,11) B’(0,10) C’(-5,6)

Topic 1 – 400 Points QUESTION: Given the point M (8, -15) and the point M’ (4, -6), write the translation rule that matches the transformation. ANSWER: (x, y)  (x – 4, y + 9)

Topic 1 – 500 Points QUESTION: Find MATH for a translation (x, y)  (x - 1, y +2 ) ANSWER: M’(-3, 4), A’(2, 2), T’(-1, -2), H’(-5, 0)

Topic 2 – 100 Points QUESTION: What is the image of (  6, 6) after a reflection across the y-axis ANSWER: (6,6)

Topic 2 – 200 Points QUESTION: What is the image of (5, -4) after a reflection across the line y = x? ANSWER: (-4, 5)

Topic 2 – 300 Points QUESTION: What is the image of (  2, 19) after a reflection across the x-axis ANSWER: (-2, -19)

Topic 2 – 400 Points QUESTION: Find the image when C is reflected over the line y = -1. ANSWER: (-2, -4)

Topic 2 – 500 Points QUESTION: Find MATH for a reflection across the x-axis ANSWER: M’(-2, -2), A’(3, 0), T’(0, 4), H’(-4, 2)

Topic 3 – 100 Points QUESTION: Find the image when F (9, -3) is rotated 90 ˚ clockwise about the origin. ANSWER: (-3, -9)

Topic 3 – 200 Points QUESTION: Find the image when F (9, -3) is rotated 90 ˚ counterclockwise about the origin. ANSWER: (3, 9)

Topic 3 – 30 Points QUESTION: What is the angle that rotates S to A? (clockwise) ANSWER: 240 ˚

Topic 3 – 400 Points QUESTION: Point M(4, -7) is a vertex of a rectangle with vertices M A T H. What are the coordinates of M’ after it is rotated 180 degrees? ANSWER: (-4, 7)

Topic 3 – 500 Points QUESTION: Find MATH for a rotation of 90 about point (0, 0) ANSWER: M’(-2, -2), A’(0, 3), T’(4, 0), H’(2, -4)

Topic 4 – 100 Points QUESTION: Is this an enlargement or a reduction? What is the scale factor? (dotted is the preimage) ANSWER: Reduction SF = 1/3

Topic 4 – 200 Points QUESTION: Are the two figures similar? If so, write a similarity statement and the scale factor. ANSWER: XYZ~PRQSF =.6 or 2/3 or 3/2 or 1.5

Topic 4 – 30 Points QUESTION: Solve for x. ANSWER: x = 6

Topic 4 – 400 Points QUESTION: Find MATH for a Dilation w/ center(0, 0)and scale factor 2 ANSWER: M’(-4, 4), A’(6, 0), T’(0, -8), H’(-8, -4)

Topic 4 – 500 Points QUESTION: You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building? ANSWER: 288in = 24ft Units…

Topic 5 – 100 Points QUESTION: Find MATH for a glide reflection with translation (x, y)  (x, y +2) and reflection across the y-axis ANSWER: M’(2, 4), A’(-3, 2), T’(0, -2), H’(4, 0)

Topic 5 – 200 Points QUESTION: For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: Translate 2 units right and 5 units down Rotate the line segment 90 degrees counterclockwise ANSWER: Y”(-2, 0) and Z”(-7, 8)

Topic 5 – 300 Points QUESTION: For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: Rotate 180 degrees Reflect over the y-axis ANSWER: Y”(-2, -7) and Z”(6, -12)

Topic 5 – 400 Points QUESTION: For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: Translate 6 units left and 4 units up Dilate using a scale factor of 3 ANSWER: Y”(-24, 33) and Z”(0, 48)

Topic 5 – 500 Points QUESTION: For Y(-4, 8) and Z(16, 28), Find the FINAL coordinates after the following composition: Dilate using a scale factor of (0.25) Rotate 90 degrees clockwise ANSWER: Y”(2, 1) and Z”(7, -4)