The four points that are the vertex of the rectangle are:
- (–1, –2)
- (7, 1)
- (7, –2)
- (–1, 1)
What is the vertex of a rectangle?
The vertex of a shape can be defined as the point in the shape where two lines or more lines would meet themselves.
To get the vertex of this rectangle, the lines have to be made to join themselves at the four angles of the rectangles.
Given data
translation rule: -4, 3 (x, y)
A' (-5, 4)
B' (3, 4)
C' (3, 1)
D' (-5, 1)
solution
for vertex A'
x
-5 = x + -4
x = -5 + 4
x = - 1
y
4 = y + 3
y = 4 - 3
x = 1
hence A ( -1, 1 )
for vertex B'
x
3 = x + -4
x = 3 + 4
x = 7
y
4 = y + 3
y = 4 - 3
x = 1
hence B ( 7, 1 )
for vertex C'
x
3 = x + -4
x = 3 + 4
x = 7
y
1 = y + 3
y = 1 - 3
x = - 2
hence C ( 7, - 2 )
for vertex D'
x
-5 = x + -4
x = -5 + 4
x = - 1
y
1 = y + 3
y = 1 - 3
x = -2
hence D ( -1, -2 )
summary
A ( - 1, 1 )
C ( 7, - 2 )
B ( 7, 1 )
D ( - 1, -2 )
comparing above with the given options shows that the wrong option is ( - 1, 7 )
Read more on vertex here:
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