In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b

Question

1 year ago

5

e
true?
OA AB AC
OB. AB CB
OCAC CB
OD AD CB
A
C
D
B

2 answers:

velikii [3] · Answer 1 · 2023-09-05T13:24:56+03:00

6 0

Answer:

A.

Step-by-step explanation:

With the given information, triangles ABD and ACD can be proved congruent, and by CPCTC, segments AB and AC are congruent.

snow_tiger [21] · Answer 2 · 2023-09-05T12:11:10+03:00

Answer:

463833

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Medium

Solution

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In △ABD and △ACD, we have

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles.