The figure shows five points. A point has been translated right and up.
On a coordinate plane, point A is (negative 2, 2), point C is (negative 2, negative 1), point B is (2, negative 3), point D is (3, negative 1) and point E is (3, 2).
Based on the graph, which statements about the points could be true? Check all that apply.
Point D could be the image of B.
Point C could be the image of A.
Point E could be the image of C.
Answers
Given : A point has been translated right and up.
A ( - 2 , 2)
B ( 2 , - 3)
C ( - 2, -1)
D ( 3 , - 1)
E ( 3, 2)
To Find : which statements about the points could be true
Point D could be the image of B.
Point C could be the image of A.
Point E could be the image of C.
Solution:
point has been translated right and up.
Hence there will be increase in x cordinate and y cordinate
B ( 2 , - 3) D ( 3 , - 1)
D is 1 right and 2 up of B
Hence Point D could be the image of B.
C ( - 2, -1) A ( - 2 , 2)
There is no Right translation as A & C has x = - 2
Hence Point C could not be the image of A.
C ( - 2, -1) E ( 3, 2)
E is 5 right and 3 up of C
Hence Point E could be the image of C.
B ( 2 , - 3) E ( 3, 2)
Point E can be image of point B as well
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Given : A point has been translated right and up.
A ( - 2 , 2)
B ( 2 , - 3)
C ( - 2, -1)
D ( 3 , - 1)
E ( 3, 2)
To Find : which statements about the points could be true
Point D could be the image of B.
Point C could be the image of A.
Point E could be the image of C.
Solution:
point has been translated right and up.
Hence there will be increase in x cordinate and y cordinate
B ( 2 , - 3) D ( 3 , - 1)
D is 1 right and 2 up of B
Hence Point D could be the image of B.
C ( - 2, -1) A ( - 2 , 2)
There is no Right translation as A & C has x = - 2
Hence Point C could not be the image of A.
C ( - 2, -1) E ( 3, 2)
E is 5 right and 3 up of C
Hence Point E could be the image of C.
B ( 2 , - 3) E ( 3, 2)
Point E can be image of point B as well