Question

Complete the proof;


Given: SD is perpendicular to HT; SH is congruent to ST
Prove: triangle SHD = triangle STD

Statement; Reasons;
1. SD is perpendicular to HT 1.Given
2 SDH & SDT are right angles 2. _________
3.SH is congruent to ST 3. __________
4._________ 4. Reflexive Property
5.triangle SHD is congruent to triangle STD 5.__

Picture in comments

Answer 1

ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํ ค้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้้ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํ ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํํ ค้้้้้้้

Answer 2

@jaadaanmaarie Do you know the second reason?

Answer 3

Summary of ways to prove triangles congruent for later.

Answer 4

so itd be HL

Answer 5

Not for reason 2.

Answer 6

SAS?

Answer 7

How do we know this:

2 <SDH & <SDT are right angles 2. _________

Answer 8

SAS? No. SAS is a way to prove triangles congruent.

That is not what we are doing on step 2. On step 2, we need the reason for knowing that the two angles are right angles.

Answer 9

Look up the definition of perpendicular lines in your text.

Answer 10

the relationship between two lines which meet at a right angle (90 degrees)

Answer 11

Yes. That means that the reason for step 2 is "Definition of Perpendicular LInes"

The definition states that perpendicular lines meet to form right angles.

So if you know you have perpendicular lines, then you can get from that that you have right angles.

Answer 12

What about this:

3.SH is congruent to ST 3. __________

Answer 13

given

Answer 14

Yes.

Answer 15

This?

4._________ 4. Reflexive Property

Answer 16

SD=DS??

Answer 17

Seg SD is congruent to Seg SD

The two triangles, if folded about the segment SD would coincide.

Point S would fall on itself; same for point D.

Answer 18

and the last one would be HL, correct?

Answer 19

5.triangle SHD is congruent to triangle STD 5.__

Correct: HL Theorem.

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

Answer 20

Thank you, Youre awesome. Thanks for taking the time out of your day to help me, God bless

Answer 21

You are welcome.