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Mathematics
8th
grade
715 Module 20 Lesson 2 Algebraic Representation of Dilation
20 questions
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- 1. Multiple ChoiceWhat is Dilation?Dilation means to enlarge or reduceDilation means to reflect on somethingDilation means to like somethingDilation means to make something different by making it smaller
- 2. Multiple ChoiceThe __________ is the ratio of a length of the image to the corresponding length on the original figure.reductionenlargementscale factorcenter of dilation
- 3. Multiple ChoiceDefinition: The figure after a transformation has occurred.Pre-imageImageTranslationReflection
- 4. Multiple ChoiceDefinition: The figure before a transformation has occurred.Pre-imageImageTranslationReflection
- 5. Multiple ChoiceIf the scale factor is less than one, the new figure will bean enlargementa reductiona scale factorbigger
- 6. Multiple ChoiceIf the scale factor is greater than one, the new figure will bea reductionan enlargementa scalenot proportional
- 7. Multiple Choice
How do you write the algebraic notation when the scale factor is 3?
(x, y) --> (1/3x, 1/3y)
(x, y) --> (-3x, -3y)
(x, y) --> (x + 3, y + 3)
(x, y) --> (3x, 3y)
- 8. Multiple Choice
How do you write the algebraic notation when the scale factor is 1/2?
(x, y) --> (2x, 2y)
(x, y) --> (1/2x, 1/2y)
(x, y) --> (-2x, -2y)
(x, y) --> (2x, 1/2y)
- 9. Multiple Choice
In a dilation what mathematical operation is used with the scale factor to create the new image?
addition
subtraction
multiplication
division
- 10. Multiple ChoiceWhich of the following is the algebraic representation for a dilation?(x, y) → (x, 3y)(x, y) → (3x, 3y)(x, y) → (x, y - 3)(x, y) → (.5x, .4y)
- 11. Multiple Choice
(x, y) --> (2x, 2y)
What is the coefficient 2 mean?
plot 2 to the right and 2 up
scale factor is 2 creating a new figure half the size
scale factor is 2 making a figure twice the size of the
original
rotate the figure twice
- 12. Multiple Choice
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
(5,3)
(20,12)
(-20,-12)
(-5,-3)
- 13. Multiple ChoiceA triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?(5,3), (6,2), (1,-2)(6,0), (9,-3), (-6,-15)(2/3,0), (1,-1/3), (-2/3,-5/3)(-1,-3), (0,-4), (-5,-8)
- 14. Multiple Choice
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
½
¼
4
2
- 15. Multiple ChoiceChoose the correct scale factor:231/31/2
- 16. Multiple ChoiceSimilar figures have the same ______ but different ______.measure; shapessizes; shapesvalue; measuresshape; sizes
- 17. Multiple ChoiceA dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?2.51/2.5This is not a dilationThe scale factor cannot be determined
- 18. Multiple Choice
What happens to the image when this rule is applied:
(x, y) --> (½x, 4y)
it stretches horizontally and shrinks vertically
it stretches both horizontally and vertically
it is a reduction then moved up 4 units
it shrinks it horizontally and stretches vertically
- 19. Multiple Choice
What happens to the image when this rule is applied:
(x, y) --> (x, 5y)
it stays the same horizontally and shrinks vertically
it stretches both horizontally and vertically, but not proportionally
it shrinks horizontally and stretches vertically
it stays the same horizontally and stretches vertically
- 20. Multiple Choice
All transformations produce a congruent figure except....
dilations
translations
rotations
reflections
- Answer choicesTagsAnswer choicesTags