Question

Help needed with making two column proof from scratch for the attached.

Answer 1

Show that RQ is congruent to TU
Show that SQ is congruent to SU
Show that angle RQS is congruent to angle TUS
Then you can say that the triangles are congruent by SAS
Then RS is congruent to TS by CPCTC
Then S is the midpoint of RT be definition of midpoint.

Answer 2

I do understand everything you wrote (which is an accomplishment in itself, for me) but I don't understand the "technical" terms to put in the reason columns for all. RQ is congruent to TU - Given
SQ is congruent to SU - Why? I understand it but no amount of research has provided me with the technical "definitions" for the Reason Column

Answer 3

Which I believe means I don't really understand it. :-)

Answer 4

u familiar wid isosceles triangle ?

Answer 5

Yes... a triangle with 2 equal sides.

Answer 6

good :) its base angles are also equal.

Answer 7

thats an isosceles triangle cuz it has two ticks which means, those sides are congruent.

Answer 8

in any isosceles triangle, base angles are also congruent. we need to use that in the proof.

Answer 9

Ok that makes sense. I am still so confused on the reasons to put for each statement. I know each statement is true based on a specific rule - but where do I find said rules? Or am I reading too much into it?

Answer 10

I am like 5th grade level geometry. Have never been able to grasp it.. so please forgive the elementary nature to my questions.

Answer 11

since its a two column proof, lets put whats given the in first rows

Answer 12

1. RQ \(\cong \) TU 1. Given

2. \(\angle RQS \cong \angle TUS\) 2. Given

Answer 13

thosw will be your first two rows

Answer 14

Got that. That's all I have though :-(

Answer 15

3. \(QS \cong SU\) 3. In isosceles triangle sides other than base are congruent

Answer 16

4. \(\triangle RQS \cong \triangle TUS\) 4. By SAS congruence

Answer 17

rest of the rows you try, il give a hand if u get stuck

Answer 18

Ok thanks! Give me just a moment to fully follow your logic

Answer 19

take ur time

Answer 20

5. Line RS is congruent to Line TS 5. CPCTC
Correct?

Answer 21

Correct. but its not a line, its a Line Segment.

Answer 22

Ok got that.
From there I can jump to:
6. S is the midpoint of Line Segment RT 6. Definition of Midpoint
Correct?

Answer 23

perfect !

Answer 24

Holy Moly I am glad that is over! I can't thank you enough for your help!

Answer 25

np :)