Answer:
1. W(5,1),X(1,7),Y(9,9) and Z(11,7).
2.A(-8,-4),B(-4,-10),C(-12,-12) and D(-14,-10).
3. E(5,6) ,F(1,12),G(9,14) and H(11,12).
4.O(10,1),P(6,7),Q(14,9) and R(16,7).
Step-by-step explanation:
We are given that a quadrilateral JKLM with vertices J(8,4),K(4,10),L(12,12) and M(14,10)
We have to match a quadrilateral with its correct transformation of given quadrilateral JKLM
1.a transformation 3 units down and 3 units left
By using transformation rule
The new vertices of quadrilateral is (5,1), (1,7),(9,9) and (11,7).
Hence, the quadrilateral WXYZ with vertices W(5,1),X(1,7),Y(9,9) and Z(11,7).
2.A sequence of reflection across x- axis and y-axis in order
Reflection across x- axis
The transformation rule
By using this rule
The vertices of quadrilateral are (8,-4),(4,-10),(12,-12) and (14,-10).
After the reflection across y- axis
The transformations rule
By using this rule
We get the new vertices of quadrilateral are (-8,-4),(-4,-10),(-12,-12) and (-14,-10).
Hence, the quadrilateral ABCD with vertices A(-8,-4),B(-4,-10),C(-12,-12) and D(-14,-10).
3.a translation 3 unit left and 2 units up
The transformation rule
By using this rule
The new vertices are (5,6),(1,12),(9,14) and (11,12).
Hence, the quadrilateral EFGH with vertices E(5,6) ,F(1,12),G(9,14) and H(11,12).
4.a translation 2 units right and 3 units down
The transformation rule
By using this rule
The new vertices are (10,1),(6,7),(14,9) and (16,7)
Hence, the quadrilateral OPQR with vertices O(10,1),P(6,7),Q(14,9) and R(16,7).
