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
The answer is D
16.55 divide by 2= 8.275
8.275+8.275+16.55+16.55=49.65
0.2 is a decimal between 0.25 and 0.125
Answer:
<u>The width is 1.67 or 1 2/3 feet approximately</u>
Step-by-step explanation:
Area of the dog pen = 14 1/5 = 14.2 square feet
Length of the pen = 8 1/2 = 8.5 feet
Width of the pen = x
Let's recall that the formula of the area of a rectangle is:
Area = Length * Width
Replacing with the values we know:
14 1/5 = 8 1/2 * Width
14.2 = 8.5 * Width
Width = 14.2/8.5
Width = 1.67 feet (rounding to the next hundredth)
1.67 ≅ 1 2/3
<u>The width is 1.67 or 1 2/3 feet approximately</u>