Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Quadrilateral A B C D is translated down and to the left to form quadrilateral O L M N.

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

Respuesta :

Answer:

LO = 6 units ⇒ B

Step-by-step explanation:

Translation does not change the size or the shape of the figure

∵ Quadrilateral ABCD is translated down and left to form

   quadrilateral OLMN

The image of side AB is side OL

∴ The image of side BC is side LM

∴ The image of side CD is side MN

∴ The image of side AD is side ON

AB = 6 units

∵ Translation does not change the size of the figure

∴ The image of AB = 6 units

∵ The image of AB is OL

∴ The length of OL = 6 units

∵ OL = LO

LO = 6 units

The length of LO of the newly translated quadrilateral is; Option B: LO = 6 units.

Translation of objects in mathematics simply means to move an object from one point to another without a change of length or figure.

Now we are told that Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Thus means Quadrilateral OLMN is still same size and length as ABCD and as such the sides will correspond in order.

Thus, it means that;

AB = OL

BC = LM

CD = MN

AD = ON

We are given;AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units

Thus, since AB = OL, we can say that;

LO = 6 units.

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