Translation
Another word for a translation is a...
What is a slide?
What is another word for a rotation?
What is a turn?
What is another word for a reflection?
What is a flip.
What are two words that also mean dilation?
What is expand and shrink -or- increase and decrease.
If a figure is dilated by a scale factor of 1/6, will the new image expand or shrink?
What is shrink.
Look at the Coordinate Plane on slide 2. In the diagram to the left, triangle TRI is translated to triangle T'R'I'. How was it mapped?
What is right 6 units and down 4 units?
See slide 10:
Rectangle ABCD is rotated 90 degrees to produce rectangle KLMN.
Line segment AB is parallel to line segment DC. Which is also true?
What is B. KL is parallel to MN?
See slide 8. What is the value of h?
What is 7.5 feet?
Look at the images in the coordinate plane on slide 6. Triangle A'B'C' is the image of the triangle ABC after a dilation. The center of dilation is the origin. What is the scale factor?
What is a scale factor of 2.
What are the four types of transformations?
What is reflection, dilation, rotation, and translation.
Solve the following equation for m.
(5/3)m+2=-5
What is m=-21/5?
Look at the coordinate plane on slide 5. What is the transformation that occurred? Include direction and degree.
What is a rotation of 90 degrees clockwise or a rotation or 270 degrees counter clockwise.
See slide 12 - Describe how triangle ABC was transformed to produce triangle A'B'C'.
What is reflected over the y-axis?
Trapezoid S undergoes a dilation with a scale factor of 1/3 and then a reflection over the y=x line. the resulting image is trapezoid T. Which statement about trapezoids S and T is true? Explain why.
a. They are congruent and similar.
b. They are congruent, but not similar.
c. They are similar, but not congruent.
d. They are neither congruent nor similar
What is c. The dilation means that the size of the figure has changed so it can't be congruent. The shape remains the same, so it is similar
See slide 13. A figure is graphed on the coordinate grid to the left. What are the coordinates of A' with a center of dilation at the origin and a scale factor of 0.25?
What is A'(-1, -0.75)
3 characteristics that are preserved in a translation.
What are side lengths (distance), angles, size, shape, area, perimeter and orientation?
Look at the coordinate plane on slide 3.
~If line segment AB is reflected across the x-axis and then rotated 180 degrees, what are the vertex coordinates of it's image A'B'?
~Write the ordered pairs for A'B'.
What are A'(2, 1) and B'(4, -3)?
Which of the following equations has infinite solutions?
a. x+7=7
b. 2-3a+6=7-3a+5
c. 5m+30=5(m+6)
What is c. because 5m+30=5m+30 (or because 30=30)
Triangle ABC was rotated 180 degrees. Then it underwent a dilation centered at the origin with a scale factor of 8. Triangle A'B'C' is the resulting image.
What specific parts of triangle A'B'C' are congruent to the corresponding parts of the original triangle?
BONUS: Compare the perimeters of triangle ABC and triangle A'B'C'. Explain your reasoning.
What is...
angle A is congruent to angle A'
angle B is congruent to angle B'
angle C is congruent to angle C'
BONUS: The perimeter of triangle A'B'C' will be 8 times as large as the perimeter of the original triangle because each of the side lengths is multiplied by a factor of 8.
A bowling ball has a diameter of 14.5 inches. If the bowling ball has no dents, about how many cubic inches is it to the nearest cubic inch?
What is 1596 cubic inches?
See slide 9 - In the diagram to the left, a translation maps A onto F. Name the image of C under the same translation.
What is H?
See slide 11
The triangles to the left are similar.
Which sequence of transformations maps triangle ABC to triangle DEF?
What is D. A 180 degree rotation about the origin, followed by a dilation with a scale factor of 2. ?
Look at the coordinate plane on slide 4. What sequence of transformations takes triangle ABC to triangle A"B"C"?
A reflection in the x-axis followed by a translation left 6 units and up 2 units.
The point A'(15, -5) is the center of a circle that has been dilated by a scale factor of 5. What are the coordinates of the corresponding center C?
What is C(3, -1)?
Look at the coordinate plane on slide 7. Name a series of transformations (one or more) that would transform quadrilateral ABCD to quadrilateral EFGH.
Reflect over x-axis, then move down 2 units.