Question

problem 4
draw the image of quadrilateral abcd after each transformation.
a. the translation that takes d to d.
b. the reflection over segment bc.

Explanation:

Step1: Analyze translation from D to D

A translation that takes a point D to itself is a zero - translation. So the image of quadrilateral ABCD is the same quadrilateral ABCD since no movement occurs.

Step2: Analyze reflection over segment BC

For each point (except B and C which are on the line of reflection) of the quadrilateral ABCD, draw a perpendicular line to segment BC. Measure the distance from the point to segment BC and mark a point on the other side of segment BC at the same distance. Connect the new points to form the reflected quadrilateral.

Answer:

a. The image of quadrilateral ABCD is quadrilateral ABCD itself.
b. Draw perpendiculars from A and D to segment BC, measure the distances from A and D to BC, mark points A' and D' on the other side of BC at the same distances respectively, and connect A', B, C, D' to get the reflected quadrilateral.