hey i have question what is answer of Q4 C and D what is the conguence rule
Answers
Answer:
here is your answer
Step-by-step explanation:
c) In triangles AOC and BOD, we have
AO = BO (O, the midpoint of AB);
∠AOC=∠BOD, (vertically opposite angles);
CO=OD, (O, the midpoint of CD)
So by SAS postulate we have
△AOC≅△BOD.
Hence, AC = BD, as they are corresponding parts of congruent triangles.
d) Given: AD is the perpendicular bisector of BC means ∠ADB = ∠ADC = 90° and BD = DC
To Prove: ΔABC is an isosceles triangle in which AB = AC.
In ΔADC and ΔADB,
AD = AD (Common)
∠ADC = ∠ADB (Each 90°)
CD = BD (AD is the perpendicular bisector of BC)
∴ ΔADC ≅ ΔADB (By SAS congruence rule)
∴ AB = AC (By CPCT)
Therefore, ABC is an isosceles triangle in which AB = AC.
(draw a figure for more help)
hope it was helpful
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Naisha Sharma
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