Question

Theorem: The diagonals of a parallelogram bisect each other.

Kim is writing the proof of the theorem using two properties of a parallelogram as shown below.

• The opposite sides of a parallelogram are parallel.
• The opposite sides of a parallelogram are congruent.

A parallelogram ABCD with diagonals AC and BD intersecting at G.

Using the two given properties, Kim proved that triangle AGB is congruent to triangle CGD using the ASA Postulate.

Answer 1

What theorem can Kim use to prove that segment AG is congruent to segment CG, and that segment BG is congruent to segment DG to show that the

Answer 2

please help @jim_thompson5910

Answer 3

it says she "proved that triangle AGB is congruent to triangle CGD using the ASA Postulate"

Answer 4

so how can you use this to show that AG = CG

Answer 5

by asa i think

Answer 6

that part is already done

Answer 7

what theorem allows you to go from saying if two triangles are congruent, then the pieces must be congruent

Answer 8

im not sure

Answer 9

hint: starts with a C

Answer 10

corresponding sides are congruent?

Answer 11

close, CP____ (fill in the rest)

Answer 12

cpctcp something like this

Answer 13

CPCTC, yep

CPCTC = corresponding parts of congruent triangles are congruent

Answer 14

basically in a nutshell: if the whole triangles are congruent, then the pieces that match up are congruent (sides and angles)

Answer 15

wait the last part of the question didnt show it said What theorem can Kim use to prove that segment AG is congruent to segment CG, and that segment BG is congruent to segment DG to show that the diagonals bisect each other?