All categories

2 years ago

3. Trapezoid JKLM is shown on the coordinate plane below.

Mathematics

1 answer:

Archy [21]2 years ago

7 0

(1, -4).

A way I've always done it is to just take the rule and simply add the numbers.

The current coordinates of L are (-1, 2).

-1 + 2 is 1, and 2 - 6 is -4. Easy peasy. :)

You might be interested in

Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

Read 2 more answers

Evaluate the expression for K=-16,m=-22,and n=-23.k+m+n

lys-0071 [83]

Answer:

-16-22-23= -61

Step-by-step explanation:

Hope it was helpful .

4 0

2 years ago

Can someone help me with this? I don't really understand it

SSSSS [86.1K]

Answer:

#1 goes to B.

#2 goes to C.

#3 goes to D.

#4 goes to A.

Hope this helps.

6 0

2 years ago

The radius of a circle is 8. What’s its area in terms of pi

Lapatulllka [165]

Answer: The area is 201.06

7 0

3 years ago

Read 2 more answers

Lily Quinn makes $12.50 and hour. She works four hours on Monday, six hours on Tuesday, nine hours on Wednesday, three hours on

Bas_tet [7]

The answer for your question is C. $362.50

8 0

3 years ago