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? 5 units 6 units 8 units 10 units

Answer 1

1. ABCD is shifted some units down, and then some othe units left.

2. The figure is just moved, not reflected, not diluted. So the distances are preserved

3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units

Answer 2

Answer:

The correct option is 2. The length of LO is 6 units.

Step-by-step explanation:

Translation is a rigid transformation. It means the image and preimage are congruent.

It is given that quadrilateral ABCD is translated down and left to form quadrilateral OLMN. It means after a rigid transformation OLMN is the image of ABCD. So,

$ABCD\cong OLMN$

Now, we can say that

$AB\cong OL$

$6\cong OL$                              $[\becasue AB=6]$

$6\cong LO$                             $[\becasue Reflexive property, LO=OL]$

Therefore the length of LO is 6 units and the correct option is 2.