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The image of parallelogram PQRS after a reflection across Line W Y is parallelogram P'Q'R'S'.

2 parallelograms are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.

= 12. What is the length of RZ?

3
6
12
18

Respuesta :

tatendagota

Answer:

6

Step-by-step explanation:

Let line WY be the line of reflection

RR has the midpoint at Z.

In other words, the line: [tex]RZ[/tex] = [tex]\frac{1}{2}RR[/tex]

SS is another line

It has a midpoint at X. In other words, line SX = [tex]\frac{1}{2} SS[/tex]

If SS =  12, then the line SX = [tex]\frac{1}{2} (12)\\ = 6[/tex]

Because the shape is a parallelogram, it means that RZ = SX = 6

MrRoyal

When a shape is reflected, it must be reflected across a line.

The length of RZ is 6

From the question, we have:

[tex]RR' = 12[/tex]

Point Z is the midpoint of R and R'

This means that:

[tex]RZ = \frac 12 \times RR'[/tex]

Substitute 12 for RR'

[tex]RZ = \frac 12 \times 12[/tex]

[tex]RZ = 6[/tex]

Hence, the value of RZ is 6 units

See attachment for the proper image of the reflection

Read more about reflections at:

https://brainly.com/question/17983440

Ver imagen MrRoyal

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