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transformations, reflections, rotations, dilations <br>coordinate plane, irregular shapes, triangles
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Wednesday May 11th • Outcome/HW: • Agenda: • To Do: • Sharpen pencils • Copy Agenda • Complete the Warm-Up Calculator allowed • Transformations Review for Quiz • DeltaMath Time Students will perform multiple transformations to prove congruency. DeltaMath #4 due by May 13th Transformation Quiz this Thursday
WARM-UP MCAP Practice 1.The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a fraction in simplest form. 3. What value of x satisfies the equation. 4. The figure shows the front side of a store sign and its dimensions, in feet. The store owner will paint the entire front side of the sign. Scale Factor Calculator allowed 2.Label the transformations below. What is the area, in square feet, of the front side of the sign?
MCAP Practice The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a fraction in simplest form. • What value of x satisfies the equation. Scale Factor
4. The figure shows the front side of a store sign and its dimensions, in feet. The store owner will paint the entire front side of the sign. MCAP Practice Pythagorean Triple: 3,4 and 5 4 feet Area of triangle: Base x height 2 3 x 4 = 6 2 6 feet squared Area of rectangle: Length x width 3 x 4 =12 12 feet squared 4 ft. 3 feet 3 feet What is the area, in square feet, of the front side of the sign? Total area= 12 + 6 = 18 square feet
What transformation is being represented? Translation
What transformation is being represented? Reflection of y-axis
What transformation is being represented? Reflection of x-axis
What transformation is being represented? Rotation 90o CCW
What transformation is being represented? Rotation 180o
What is the translation rule? (x-4,y-1) (x+4,y-1) (x+4,y+1) (x-4,y+1)
What is the translation rule? (x-4,y-1) (x+4,y-1) (x+4,y+1) (x-4,y+1)
What is the translation rule? (x-6,y+3) (x+6,y-3) (x-6,y+3) (x-6,y-3)
What is the translation rule? (x-6,y+3) (x+6,y-3) (x+6,y+3) (x-6,y-3)
What is the scale factor? k=2 k=6 k=3 k=1/3
What is the scale factor? k=2 k=6 k=3 k=1/3
What is the scale factor? k=1/2 k=2 k=4 k=1/3 Preimage Image
What is the scale factor? k=1/2 k=2 k=4 k=1/3 Preimage Image
What is the point of the translation of 2 units right 1unit up for Point A’ ? A’(7,1) A’(-8,3) A’(-7,-2) A’(-2,7) A C B
What is the point of the translation of 2 units right and 1 unit up for Point A’ ? A’(7,1) A’(-8,3) A’(-7,-2) A’(-2,7) A C B
What transformation is happening? (x,y) ( x +7,y-4) Slide 4 right, 7up Slide 7 left, 4 down Slide 7 right, 4 down Slide 4left, 7 down
What transformation is happening? (x,y) ( x +7,y-4) Slide 4 right, 7up Slide 7 left, 4 down Slide 7 right, 4 down Slide 4 left, 7 down
1st graph What would the new points be for a 180orotation? A B C
1st graph What would the new points be for a reflection over the y-axis? A B C
2nd graph Where would the triangle be if we use the rule: (x -6,y-9)? A B C
A B C