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Question

Referring to the given figure, E is the center of the circle and AC and BD are diameters. If ΔAEBΔDEC, then the congruence theorem used to prove this is:
479184_a47cd2bbc4094a86b74bd4c5f8f35752.png
  1. AAA
  2. SSS
  3. SAS
  4. SSA

A
SSS
B
AAA
C
SAS
D
SSA
Solution
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SAS property:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

In ΔAEB and ΔDEC,

BEACED ....vertically opposite angles

side EA side EC ...radii of same circle

side EB side ED ...radii of same circle

ΔAEBΔDEC ....S.A.S test

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Similar Questions
Q1
Referring to the given figure, E is the center of the circle and AC and BD are diameters. If ΔAEBΔDEC, then the congruence theorem used to prove this is:
479184_a47cd2bbc4094a86b74bd4c5f8f35752.png
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Q2

In the given figure, which congruence rule can be used to prove that ABC CDA?


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Q3

In ΔABD, AB = AD and AC is perpendicular to BD. State the congruence rule by which ΔACBΔACD.


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Q4
Which of the following is not a criterion for congruence of triangles?

(a) SAS

(b) SSA

(c) ASA

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Q5
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