Answered

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Given:BD is the altitude of triangle ABC and BD is the median of triangle ABC Prove:triangle ABD is congruent to triangle CBD

GivenBD Is The Altitude Of Triangle ABC And BD Is The Median Of Triangle ABC Provetriangle ABD Is Congruent To Triangle CBD class=

Sagot :

Statement

1.

[tex]BD\text{ is the altitude and }the\text{ median of }\Delta ABC[/tex]

2.

[tex]AD=DC[/tex]

3.

[tex]\angle ADBand\angle CDB\text{ are right triangles}[/tex]

4.

[tex]BD=BD[/tex]

5.

[tex]undefined[/tex]

Reason

1. Given

2. Because BD is the median

3. Because BD is the altitude (def of perpendicular lines)

4. Reflexive property

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