Question

Look at the parallelogram ABCD shown below.


The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent.

Statement Reasons
1 AB is parallel to DC and AD is parallel to BC definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 if two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD Reflexive Property
4 triangles ADB and CBD are congruent if two angles and the included side of a triangle are congruent to the corresponding angles and side of another tri

Answer 1

Look at the parallelogram ABCD shown below.


The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent.

Statement Reasons
1 AB is parallel to DC and AD is parallel to BC definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 if two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD Reflexive Property
4 triangles ADB and CBD are congruent if two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent
5 AB = DC,
AD = BC corresponding parts of congruent triangles are congruent
Which statement is true about the table? (5 points)


It is not correct because it provides incorrect sequence of statement 3 and statement 4.
It is not correct because it does not show correct reasons for statement 2 and statement 4.
It is accurate because it shows why a parallelogram has four sides.
It is accurate because it provides the correct reasons for the statements.

Answer 2

I believe it is D. or C. because it is accurate, and I further believe its D. because it provides correct reasons.
But, I am not sure entirely.

Answer 3

@jim_thompson5910 @pooja195 @Awolflover1

Answer 4

@MadR4t

Answer 5

those are pictures to make it easier

Answer 6

oh wow i thought it was just asking if the statements were correct by themselves haha

Answer 7

lol

Answer 8

Everything looks correct. I don't see any issues with the statements or reasons.

Answer 9

Yeah I agree with jim but i'm still not sure which of the answers they are looking for....I mean does it explain why it has to have 4 sides or is it providing the correct reasons?

Answer 10

it leads to a proof that the opposite sides of a parallelogram are congruent

Answer 11

from the picture it actually doesn't look like the triangles are congruent though...from the angle sizes

Answer 12

`It is accurate because it shows why a parallelogram has four sides` seems like a strange way to word it

Answer 13

but I have no idea why that would be

Answer 14

ikr

Answer 15

bruh

Answer 16

so D

Answer 17

if its all accurate

Answer 18

which it looks like it is

Answer 19

D is probably the best choice

Answer 20

okay im taking your word on this :) thanks so much friends

Answer 21

well kinda take my word lol but thanks!!!!