the last one I just took the quiz
just took the edg quiz
From the figure attached,
Quadrilateral ABCD has been translated to form an image A'B'C'D' by shifting 'a' units right and 'b' units up.
Let the rule for translation is,
(x, y) → (x + a, y + b)
Coordinates of point A is (-4, 4) and the coordinates of the image A' are (-2, 5).
So, (-4, 4) → [(-4 + 2), (4 + 1)]
Therefore, the translation can be represented by (shifted 2 units right and 1 unit up).
Option (4) will be the answer.
Pre-image ABCD has been shifted 2 units right and 1 unit upwards.
Coordinates of the points A,B,C and D of the pre-image ABCD,
A(-4, 4), B(-1, 4), C(-5, 1), D(-2,1)
Coordinates of the points A', B', C' and D' of the image A'B'C'D'.
A'(-2, 5), B'(1, 5), C'(-3, 2), D'(0, 2)
Now we choose points A from the pre-image and A' from the image,
A(-4, 4) → A'(-2, 5)
Rule for the translation will be,
A(-4, 4) → A'(-4+2, 4+1)
Or A(x, y) → A'(x+2, y+1)
Therefore, pre-image ABCD has been shifted 2 units right and 1 unit upwards to form image A'B'C'D'.
The rest of the question is the attached figure.
As shown in the graph
The coordinates of the image ABC are:
A(-3,4) , B(-4,1) and C(-2,1)
And the coordinates of A'B'C' are:
A'(4,-2) , B'(3,-5) and C'(5,-5)
A' - A = (4,-2) - (-3,4) = (7,-6) →(1)
B' - B = (3,-5) - (-4,1) = (7,-6) →(2)
C' - C = (5,-5) - (-2,1) = (7,-6) →(3)
So, from (1), (2) and (3)
The rule represents the translation form the pre image ABC to the image A’B’C’ is ⇒⇒⇒ (x, y) → (x + 7, y – 6)
Read more on -
we have been given graph of abcd and post image of that as a'b'c'd'.
there are four choices of possible rules for translation of abcd into a'b'c'd'.
now we have to identify correct rule. to find that we can pick any corner point say c(-5,1) and check how it changes to c'(-3,2)
x-coordinate -5 will chage to -3 only if we add 2 to the -5
y-coordinate 1 will chage to 2 only if we add 1 to the 1
so the required rule will be (2,1)
hence final answer is t 2,1 (x, y) .
we know that
the coordinates of the point a is > see the graph
the coordinates of the point a' is > see the graph
the rule of the translation is
verify for the point b'
the coordinates of the point b' are
see in the graph
the coordinates of b' are correct
the answer is the option