Answer:
Option A
Step-by-step explanation:
We are given that
Scale factor=2
Center of dilation=(0,0)
Point A(0,2) and point B (2,0).
Slope of line f=
Substitute the values
Slope of line f=
Distance between A and Origin (0,0) is given by
Using distance formula
OB=
Length of OA'=2OA=2(2)=4 units
Length of OB'=2(OB)=2(2)=4 units
x-intercept of line f' at x=4
y-intercept of line f' at y=4
Therefore, the points A' and B' are given by
(0,4) and (4,0)
Slope of line f'=
Slope of line f and f' are equal.Therefore, lines f and f' are parallel.
Option A is true.
Answer:
7/24
Step-by-step explanation:
1/8 + 1/6
First get a common denominator of 24
1/8 * 3/3 = 3/24
1/6 * 4/4 = 4/24
3/24 + 4/24 = 7/24
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
If you double the width you make a similar prism with a scale factor of two, the surface area of the similar prism will increase as the square of the scale factor
