Question

quadrilateral abcd is translated down and left to form quadrilateral olmn. if ab = 6 units, bc = 5 units, cd = 8 units, and ad = 10 units, what is lo? figure may not be drawn to scale.

Explanation:

Step1: Recall translation property

A translation is a rigid - motion. Rigid - motions preserve side - lengths and angle - measures.

Step2: Identify corresponding sides

When quadrilateral $ABCD$ is translated to form quadrilateral $OLMN$, side $AB$ corresponds to side $LO$.

Step3: Determine the length of $LO$

Since $AB = 6$ units and corresponding sides of translated figures are equal in length, $LO=AB = 6$ units.

Answer:

6 units