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Question
ABCD is a parallelogram. O is the mid point of CD. ΔBOC ≅ ΔEOD by ______.
Options
SSS
RHS
SAS
ASA
MCQ
Fill in the Blanks
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Solution
ABCD is a parallelogram. O is the mid point of CD. ΔBOC ≅ ΔEOD by ASA.
Explanation:
To prove that ΔBOC ≅ ΔEOD by ASA:
- BO = EO ...(Common side)
- ∠BOC = ∠EOD ...(Vertical angles)
- OC = OD ...(As O is the midpoint of CD in the parallelogram)
Thus, the two triangles are congruent by the ASA (Angle-Side-Angle) criterion.
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