Question

The figure below shows two triangles that were constructed using a compass and straightedge. Jemma used the AAS postulate to prove that triangle ABC is congruent to triangle DEF. Two congruent acute scalene triangles, ABC and DEF are drawn. As part of the proof Jemma showed that angle BAC is congruent to angle EDF, and angle BCA is congruent to angle EFD. Using these two congruencies, which of these other steps would Jemma have likely performed to prove that the two triangles are congruent by the AAS postulate? Place the compass on B and set the width to side BC. Place the compass on B an

Answer 1

The figure below shows two triangles that were constructed using a compass and straightedge. Jemma used the AAS postulate to prove that triangle ABC is congruent to triangle DEF.

Answer 2

As part of the proof Jemma showed that angle BAC is congruent to angle EDF, and angle BCA is congruent to angle EFD. Using these two congruencies, which of these other steps would Jemma have likely performed to prove that the two triangles are congruent by the AAS postulate

Answer 3

Place the compass on B and set the width to side BC.

Place the compass on B and draw a pair of arcs that meet at C.

Place the compass on B and draw an arc that crosses side BC at X and side AB at Y.

Place the compass on A and set the width to side AC.

Answer 4

AAS = angle angle side

she "showed that angle BAC is congruent to angle EDF, and angle BCA is congruent to angle EFD", so she has shown the first pair of angles are congruent

Answer 5

what's missing?

Answer 6

hmmm. not sure?

Answer 7

well you have the two A's from AAS

so you're missing the S

ie you're missing the two congruent sides

Answer 8

AAS

A: angle BAC is congruent to angle EDF

A: angle BCA is congruent to angle EFD

S: ????

Answer 9

ACB is congruent to DFE??

Answer 10

S: segment ___ is congruent to segment ___

Answer 11

I have no clue. LOL

Answer 12

how do you show that 2 segments are congruent

Answer 13

I really have no clue i already passed geo and forgot everything I'm trying to help my my friend with his...

Answer 14

how would you measure anything that's linear

Answer 15

The linear equation

Answer 16

say you had a door you needed to measure, how would you measure it?

Answer 17

w and h

Answer 18

how would you find the numbers that would stand in place of w and h?

Answer 19

measuring LOL

Answer 20

yes how would you measure it

what tools would you use?

Answer 21

tape measure

Answer 22

ok say you can't use a tape measure (or you don't have one)

Answer 23

what else can you use?

Answer 24

ruler

Answer 25

can't use that either

what else?

Answer 26

well im 6ftso i could use myself lol im not folowing you

Answer 27

say you had 2 doors and you wanted to see if they had the same width

how would you show that the two widths were the same?

Answer 28

if you didn't have a rule, tape measure or yard stick, then maybe you could use string

so if you use one end of the string and put on one side of the door
then stretch the string taut to the other end and mark it
you can use this string to see if the two doors had the same width

Answer 29

well opp sides are congruent,

Answer 30

now let's say you didn't have a string

you could use a compass (which is a lot like a string) to compare the two widths