Question

five quadrilaterals, along with two points, are shown on the coordinate grid. the quadrilaterals, pqrs, gwtk, vmxh, and ynfc, were created using a single transformation of quadrilateral zbld. complete the table by either determining the quadrilateral, transformation of quadrilateral zbld, and/or congruence or similarity of the two quadrilaterals. table with columns: quadrilateral, transformation, congruent or similar

Explanation:

Step1: Analyze rotation - congruence

A rotation is a rigid - motion transformation. Rigid - motion transformations preserve side lengths and angle measures. So, if a quadrilateral is obtained by rotation of another quadrilateral, they are congruent.

Step2: Analyze reflection - congruence

A reflection is also a rigid - motion transformation. It flips a figure over a line of reflection while preserving side lengths and angle measures. So, the reflected quadrilateral is congruent to the original.

Step3: Analyze VMXH

For VMXH, we need to determine the transformation. By observing the orientation and position of VMXH relative to ZBLD, if it is a translation (a slide), it is a rigid - motion and the two quadrilaterals are congruent.

Step4: Analyze YNFC

For YNFC, if it is a translation, since translation is a rigid - motion, the two quadrilaterals are congruent.

Answer:

Quadrilateral	Transformation	Congruent or Similar
(Second blank)	Reflection	Congruent
VMXH	Translation	Congruent
YNFC	Translation	Congruent