In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b
e
true?
OA AB AC
OB. AB CB
OCAC CB
OD AD CB
A
C
D
B
2 answers:
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.
Answer:
463833
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Medium
Solution
verified
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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.
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