Question
Easy
$\triangle$ABC and $\triangle$ADB are on the common base AB and on the same side of AB. $DA \perp AB$, $CB \perp AB$ and AC = BD. Which of the following is true ?
1
$\triangle$ABC $\cong$ $\triangle$ABD
2
$\triangle$ABC $\cong$ $\triangle$ADB
3
$\triangle$ABC $\cong$ $\triangle$BAD
4
$\triangle$ABC $\cong$ $\triangle$ABDA
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: 2D Geometry
Topic: Congruence and Similarity of Triangles
Correct Answer
Option C
Explanation
To determine why Option 3 is the correct answer, let's analyze the given information and apply geometric principles. ### Explanation for Option 3: $\triangle$ABC $\cong$ $\triangle$BAD 1. Given Conditions: - Both triangles $\triangle$ABC and $\triangle$ADB share the common base AB. - $DA \perp AB$ and $CB \perp AB$, meaning both DA and CB are perpendicular to AB. - AC = BD, indicating that the lengths of AC and BD are…Read More
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