## ze4life 2 years ago Write the missing statements and reasons of the proof. Given:<A and <C are rt.<s; AB=CB Prove:AD=CD

1. ze4life

|dw:1355528472985:dw|

2. ze4life

|dw:1355529709485:dw|

3. sirm3d

what do you think is the reason for #1?

4. ze4life

Given

5. sirm3d

at #2. why are the triangles BAD and BCD right triangles?

6. ze4life

? because they have right angles

7. ze4life

90 degrees

8. sirm3d

that's exactly the definition of a right triangle. Reason #2: Definition of a Right Triangle

9. ze4life

thnxs now how do i get number three

10. sirm3d

what do think is reason #3?

11. ze4life

umm they are congruent

12. ze4life

?

13. sirm3d

it is part of the given.

14. ze4life

so #3 is part of a given

15. sirm3d

Reason #3: Given

16. sirm3d

there are two given informations. (1) the right angles A and C, and (2) the congruent segments AB and CB. so you can use the reason "Given" twice.

17. ze4life

oh okay i get it now statement 4 this is a little harder

18. ze4life

? :-(

19. ze4life

help plz

20. sirm3d

the reflexive property is used when something is congruent/equal to itself, like $$\overline{PQ} \cong \overline{PQ}$$ or $$\angle X \cong \angle X$$ in the problem, what triangle part is used or common to the two triangles?

21. ze4life

Triangle BCD?

22. sirm3d

what is the common part, maybe an angle or a segment, of the two triangles?

23. sirm3d

|dw:1355534984211:dw|

24. ze4life

BD

25. ze4life

segment BD

26. sirm3d

right. $\overline {BD} \cong \overline {BD}$

27. ze4life

5 is triangle BAD=BCD am i right

28. sirm3d

that goes into statement #5.

29. sirm3d

right it is. and for the reason?

30. ze4life

I already have the reason done HL

31. ze4life

32. sirm3d

the last line is what you were supposed to prove, $$\overline{AD}\cong \overline{CD}$$

33. ze4life

thats what i thought thnxs so much for ur patience

34. sirm3d

YW