Drag the tiles to the boxes to form correct pairs.
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Drag the tiles to the boxes to form correct pairs.
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
E(-3, -4), F(1, -3), G(3, -6), and H(1, -6)
a translation 7 units right
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1)
a reflection across the y-axis
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6)
a reflection across the x-axis
E(4, 4), F(8, 3), G(10, 6), and H(8, 6)
a translation 5 units down
Answers
Answer: The correct match is
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) a translation 7 units right
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) a reflection across the y-axis
E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) a translation 5 units down
Step-by-step explanation: Given that quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6).
We are given to match each of the given sets of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Set A : A translation of 7 units right.
Under this translation, the co-ordinates of a point (x, y) changes to (x+7, y).
So, the vertices of quadrilateral ABCD changes as follows :
A(-3, 4) ⇒ (-3+7, 4) = (4, 4),
B(1, 3) ⇒ (1+7, 3) = (8, 3),
C(3, 6) ⇒ (3+7, 6) = (10, 6)
and
D(1, 6) ⇒ (1+7, 6) = (8, 6).
So, the co-ordinates of quadrilateral EFGH will be E(4, 4), F(8, 3), G(10, 6), and H(8, 6).
Set B : A reflection across the Y-axis.
Under this translation, the co-ordinates of a point (x, y) changes to (-x, y).
So, the vertices of quadrilateral ABCD changes as follows :
A(-3, 4) ⇒ (3, 4),
B(1, 3) ⇒ (-1, 3),
C(3, 6) ⇒ (-3, 6)
and
D(1, 6) ⇒ (-1, 6).
So, the co-ordinates of quadrilateral EFGH will be E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6).
Set C : A reflection across the X-axis.
Under this translation, the co-ordinates of a point (x, y) changes to (x, -y).
So, the vertices of quadrilateral ABCD changes as follows :
A(-3, 4) ⇒ (-3, -4),
B(1, 3) ⇒ (1, -3),
C(3, 6) ⇒ (3, -6)
and
D(1, 6) ⇒ (1, -6).
So, the co-ordinates of quadrilateral EFGH will be E(-3, -4), F(1, -3), G(3, -6) and H(1, -6).
Set D : A translation 5 units down..
Under this translation, the co-ordinates of a point (x, y) changes to (x, y-5).
So, the vertices of quadrilateral ABCD changes as follows :
A(-3, 4) ⇒ (-3, 4-5) = (-3, -1),
B(1, 3) ⇒ (1, 3-5) = (1, -2),
C(3, 6) ⇒ (3, 6-5) = (3, 1)
and
D(1, 6) ⇒ (1, 6-5) = (1, 1).
So, the co-ordinates of quadrilateral EFGH will be E(-3, -1), F(1, -2), G(3, 1), and H(1, 1).
Thus, the correct match is
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) a translation 7 units right
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) a reflection across the y-axis
E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) a translation 5 units down.
E(4, 4), F(8, 3), G(10, 6), and H(8, 6) a translation 7 units right
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) a reflection across the y-axis
E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) a translation 5 units down.
Step-by-step explanation:
It is right pls mark brainly