Homework Help

Finish the following proof by filling in the blanks....

user profile pic

novjb | Salutatorian

Posted July 8, 2013 at 10:55 PM via web

dislike 1 like

Finish the following proof by filling in the blanks.

Reasons:                                 Statements:

1.Segment AC`_|_` segment BD       1._______

2.<AEB and <CEB are rt. angles  2._______

3.`Delta` AEB and `Delta` CEB are rt. `Delta` s  3._______

4.________                              4. Given  

5.________                              5.Reflexive Property of Segment Congruence     

6.`Delta` ABE`cong` `Delta` CBE                  6._______

7.________                          7.Corresponding parts of `cong` Triangles are `cong`  

8.________                          8.Definition of Perpendicular Lines

9.________                          9.Definition of a Right Triangle

10. Segment DE`cong` segment DE   10._______

11._______                             11. LL Congruence Theorem

12.Segment AD`cong` segment CD   12.______

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

1 Answer | Add Yours

user profile pic

llltkl | College Teacher | Valedictorian

Posted July 9, 2013 at 1:22 AM (Answer #1)

dislike 1 like

1. Segment AC is perpendicular to segment BD 1.Given             

2. Angle AEB and angle CEB are right angles  2. Definition of

                                                             perpendicular lines

3. Triangle AEB and triangle CEB are  3. Definition of right

 right triangles                                 triangles

4. Segment AB congruent to Segment BC        4. Given

5. Segment BE is congruent to Segment BE  5. Reflexive

                                                           Property of Segment

                                                           congruence

6. Triangle ABE is congruent to triangle CBE 6. HL Congruence

                                                               Postulate

7. Segment AE is congruent to Segment CE 7. Corresponding

                                                           parts of congruent

                                                      triangles are congruent.

8. Angle AED and angle CED are right angles 8. Definition of

                                                             perpendicular lines

9. Triangle AED and triangle CED are right triangles 9. Definition

                                                              of a Right Triangle

10. Segment DE is congruent to DE  10. Reflexive Property of

                                                       Segment congruence

11. Triangle AED is congruent to triangle CED 11. LL Congruence

                                                              Theorem

12. Segment AD is congruent to CD 12. Corresponding parts of

                                                   congruent triangles are

                                                    congruent.

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes