03.01 Dilations
Question: Hexagon IJKLMN is shown on the coordinate plane below:
If hexagon IJKLMN is dilated by a scale factor of from the origin to create hexagon I’J’K’L’M’N’, what is the ordered pair of point L’?
Question 1 options:
(−0.4, 0.8)
(−5, 15)
(−0.8, 2.4)
(−2.5, 5)
Answer: (−0.4, 0.8)
Question: Pentagon OPQRS is shown on the coordinate plane below:
If pentagon OPQRS is dilated by a scale factor of from the origin to create O’P’Q’R’S’, what is the ordered pair of point P’?
Question 2 options:
(−8.75, 5.25)
(−1.25, 0.75)
(−3.5, 8.75)
(−1.75, 3.5)
Answer: (−8.75, 5.25)
Question:
Answer: 16 inches by 32 inches
Question: Trapezoid TRAP was dilated by a scale factor of to create trapezoid T’R’A’P’.
Which point is the center of dilation?
Question 4 options:
W
X
Y
Z
Answer: X
Question:
Answer: The locations of A’ and B’ are A’ (0, 1) and B’ (1, 0); lines f and f’ are parallel.
Question: Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E’F’G’. Which statement is true about the dilation?
Question 6 options:
and both pass through the center of dilation.
The slope of is the same as the slope of .
will overlap .
≅ .
Answer: and both pass through the center of dilation.
Question:
Answer: and are proportional after the dilation and congruent after the translation.
Question:
Answer: A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Question: is dilated from the origin to create at A’ (0, 6) and B’ (6, 9). What scale factor was dilated by?
Question 10 options:
2
3
4
Answer: 2
Question:
Answer: is located at X (0, 5) and Y (0, 2) and is half the length of .