Question

PRETEST
Directions: Read each of the following carefully. Choose the letter that
corresponds
to the correct answer.
1. What is the measure of side ea in parallelogram EASY
A. 15
B. 20
C. 25
D. 30
2. I LOVE is a parallelogram and LR = 6 and
ER = 10, what is RV?
Z
E
V
A. 6
B, 8
C. 10
D. 12
M
For item numbers 3 - 5, use the parallelogram MORE
3. In a parallelogram MORE, ME = 2x + 3
and OR
5x -12 what is the value of x?
S
E
R
A. 3
B. 5
C. 12
D. 15
4. In parallelogram MORE, what is the length of ME?
A. 9
B. 10
C. 13
D. 25
5. In parallelogram MORE, if diagonal MR = 16, how long is MS?
A. 4
B. 8
C. 12
D. 16​

Answer 1

Solution :-

In parallelogram LOVE, we have,

→ LR = 6.

→ ER = 10 .

→ R = Points where diagonals meet,

so,

→ RV = LR = 6 cm. { Diagonals of a parallelogram bisect each other .} (Ans.2)

now, in parallelogram MORE, we have,

→ ME = 2x + 3

→ OR = 5x - 12

so,

→ ME = OR . { Opposite sides of a a parallelogram are equal .}

then,

→ 2x + 3 = 5x - 12

→ 3 + 12 = 5x - 2x

→ 15 = 3x

→ x = 5 .(Ans.3)

therefore,

→ ME = 2 * 5 + 3 = 10 + 3 = 13 . (Ans.4) .

now, S is the Points where diagonals meet .

hence,

→ MS = MR/2 .{ Diagonals of a parallelogram bisect each other.}

→ MS = 16/2 = 8 . (Ans.5) .

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