Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Answer:
<h2>22ft</h2>
Step-by-step explanation:
Step one:
given that the orientation of the garden is a triangular shape(it has three sides)
the perimeter is given as=46ft
one side y=11ft
the second side z= 13ft
let the third side be xft
Step two:
the expression for the perimeter = z+y+x
46=11+13+x
46=24+x
solve for x
x=46-24
x=22ft
Therefore the third side is 22ft long
Answer
Stephanie sold 40 glasses while Susan sold 10 glasses
Step-by-step explanation:
Stephanie sold 4 times more glasses than Susan, overall of 50 glasses
Answer: 5/6
Step-by-step explanation:
2/3=4/6
1/6 + 4/6 = 5/6
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
