Hii!
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Distance =

Use the distance formula, which is.

Plug in the values.

Simplify.

Simplify.
.
Decimal Form. 2.828427...
Great job!
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Hope that this helped! Best wishes.

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Answer:
A
Step-by-step explanation:
because it makes more sense
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by

The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows



Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
To solve this question, you would need to find the common denominator among the 2 fractions. In this case it would be
72.
Then multiply numbers to both of the fractions to get to the bottom number in both fractions equaling 72.
40/72 + 27/72 =67/72.
Try to reduce to lowest terms by dividing a common number from both of them if possible.