Answer:
See attachments.
Step-by-step explanation:
In geometry, dilation is a transformation that changes the size of a figure while preserving its angles and proportionally scaling its sides.
To dilate a figure with a scale factor of n about the origin, simply multiply the coordinates of each point by the scale factor n.
This process enlarges or shrinks the original figure. If n > 1 then the figure is enlarged. If 0 < n < 1 then the figure is shrunk. If n = 1, the figure remains unchanged because multiplying by 1 does not change the coordinates.
Question 1
To dilate triangle JKL about the origin by a scale factor of 2, multiply the coordinates of its vertices by 2:
J(-2, 0) → J'(-4, 0)
K(1, 1) → K'(2, 2)
L(2, 0) → L'(4, 0)
Question 2
To dilate triangle KLM about the origin by a scale factor of 1.5, multiply the coordinates of its vertices by 1.5:
K(-2, 0) → K'(-3, 0)
L(2, 3) → L'(3, 4.5)
M(2, -2) → M'(3, -3)
Question 3
To dilate triangle ABC about the origin by a scale factor of 2, multiply the coordinates of its vertices by 2:
A(-2, -1) → A'(-4, -2)
B(2, 1) → B'(4, 2)
C(2, -1) → C'(4, -2)
Question 4
To dilate figure STUR about the origin by a scale factor of 2, multiply the coordinates of its vertices by 2:
S(-1, 2) → S'(-2, 4)
T(0, 2) → T'(0, 4)
U(2, -1) → U'(4, -2)
R(-2, -2) → R'(-4, -4)
Question 5
To dilate triangle STU about the origin by a scale factor of 1.5, multiply the coordinates of its vertices by 1.5:
S(2, -2) → S'(3, -3)
T(0, 3) → T'(0, 4.5)
U(-1, -1) → U'(-1.5, -1.5)
Question 6
To dilate triangle DEF about the origin by a scale factor of 3/2, multiply the coordinates of its vertices by 3/2, which is 1.5:
D(-1, -2) → D'(-1.5, -3)
E(0, 3) → E'(0, 4.5)
F(1, -2) → F'(1.5, -3)
