Julia is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. she starts by assigning coordinates as given. drag and drop the correct answer into each box to complete the proof. the coordinates of point c are c). the coordinates of the midpoint of diagonal ac¯¯¯¯¯ are c/2 ). the coordinates of the midpoint of diagonal bd¯¯¯¯¯ are ( a+b/2, ac¯¯¯¯¯ and bd¯¯¯¯¯ intersect at point e with coordinates (a+b/2, c/2) . by the definition of midpoint, ae¯¯¯¯¯≅ __ and be¯¯¯¯¯≅ therefore, diagonals ac¯¯¯¯¯ and bd¯¯¯¯¯ bisect each other. options: 1. a + b 2. a + c 3. b + c 4. a+b/2 5. a−b/2 6. a/2 7. b/2 8. c/2 9. ac¯¯¯¯¯ 10. bd¯¯¯¯¯ 11. ce¯¯¯¯¯ 12. de¯¯¯¯¯

1. 1 2. 4 3. 8 4. AC,  BD 5. CE, DE 6.

Step-by-step explanation:

Below each answer the respective explanation, and also a numerical coordinate parallelogram just to make it clearer.

According to the graph

A= (0,0)

B= (a,0)

C= (a+b, c)

D=(b,c)

E=(a+b/2, c/2)

1. The coordinates of point C are

To find the x-coordinate of C: just add a to b

2. The coordinates of the midpoint of diagonal AC are (__, c/2 ).

Midpoints are calculated by:

Since A (0,0) and C (a+b,c) Then: (a+b/2, c/2)

3. The coordinates of the midpoint of diagonal BD are (a+b/2, __).

Then (8)

4. ___ and ___ intersect at point E with coordinates (a+b/2, c/2)

AC and BD . True. This is a consequence of steps 2 and 3.

5. By the definition of midpoint, AE≅ __ and BE≅ __.

6.Therefore, diagonals AC and BD bisect each other.

In this sense, to bisect is to equally divide into two congruent line segments.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

c

step-by-step explanation: