Match each statement with the correct reasoning in the proof below. А
B
M
D
Given: AM = CM, BM - DM
Prove: ABCD is a parallelogram.
Drag and drop an answer choice into each empty box below.
segment AM-segment CM; segment BM= segment DM SAS congruence criterion If both pairs of opposite sides are congruent, a quadrilateral is a parallelogram
ZAMB= 2CMD; ZAMD= _CMB If both pairs of opposite angles are congruent, a quadrilateral is a parallelogram AAMB= ACMD; AAMD=ACMB
Corresponding parts of congruent triangles are congruent Vertical angles are congruent SSS congruence criterion
Reason
Statement
Given

30

step-by-step explanation:

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i hope i

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation: