Answered

Explore a diverse range of topics and get expert answers on IDNLearn.com. Our community provides accurate and timely answers to help you understand and solve any issue.

A rhombus is a four-sided figure with all sides the same length.
Points F(22, 22), G(22, 3), and H(2, 6) are three vertices of
rhombus FGHJ. Vertex J is directly below vertex H.
a. Graph rhombus FGHJ. Label J with its coordinates.
b. What is the perimeter of the rhombus? Show your work.

Sagot :

MrRoyalidn

The perimeter of the rhombus FGHJ is 20 units

How to graph the rhombus

The coordinates are given as:

F = (-2, -2)

G = (-2, 3)

H = (2, 6)

From the question, we understand that vertex J is directly below vertex H.

This means that vertices H and J have the same x coordinate.

So, we have

J = (2, y)

The distance between F and G is 5 units,

So, we have

J = (2, y - 5)

Where

y = 6 i.e. the y coordinate of H

This gives

J = (2, 6 - 5)

Evaluate

J = (2, 1)

See attachment for the graph of the rhombus

The perimeter

In (a), we have:

The distance between F and G is 5 units,

This means that

FG = 5

The side lengths of a rhombus are equal.

So, the perimeter is

P = 4 * FG

This gives

P =4 * 5

Evaluate

P = 20

Hence, the perimeter of the rhombus is 20 units

Read more about rhombus at:

https://brainly.com/question/26154016

#SPJ1

View image MrRoyal
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.