What are the missing statement and reason in step 2 of the proof? statement: ∠abc ≅ ∠bcd, ∠bad ≅ ∠adc reason: for parallel lines cut by a transversal, corresponding angles are congruent. statement: δabc ≅ δcda reason: sss criterion for congruence statement: ab ≅ cd, bc ≅ ad reason: given statement: ab ∥ cd, bc ∥ ad reason: definition of a parallelogram statement: ∠bac ≅ ∠acd reason: alternate interior angles theorem

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: .

Reason: SSS criterion for congruence.

5.Statement:.

Reason: Given .

6.Statement: .

Reason: By definition of parallelogram.

7.Statement: .

Reason: Alternate Interior Angles Theorem.

step-by-step explanation:

your mom

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form