(30 points) The coordinates of the vertices of quadrilateral JKLM are J(−3, 2) , K(3, 5) , L(9, −1) , and M(2, −3) .
Which statement correctly describes whether quadrilateral JKLM is a rhombus?
Quadrilateral JKLM is not a rhombus because there is only one pair of opposite sides that are parallel.
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
To determine which of the graphs' slope is greater, we need to figure out what the slope for each graph in order to compare them.
Slope Formula: rise/run
For Water's Edge Rafts, let's use the two coordinates (1.6) and (6,36).
Then, once we have our coordinates, we can plug it into the slope formula to find the slope.
36 - 6 / 6 -1 = 30/5
30/5 = 6
The slope for Water's Edge Rafts is 6x.
Also, there is no y-intercept or (b) since it began at the origin.
Next, let's find the slope of Ryan's Rafts.
For Ryan's Rafts, let's use the coordinates (1,15) and (2,17.25)
Same thing, plug it into the slope formula.
17.25 - 15 / 2 - 1 = 2.25/1
2.25/1 = 2.25
The slope for Ryan's Rafts is 2.25x
Therefore, Water's Edge Rafts has a greater slope than Ryan's Rafts.
39
6^2 + 12 - 3^2
36+12-9
39
