Question
What are congruent angles? Justify with an example that in all the right-angled triangles, at least one pair of angles will be congruent. [2 MARKS]
Answer:
:
Definition: 1 Mark
Proof: 1Mark
If two angles have the same measurement, they are congruent. Also, if two angles are congruent, their measurementsare same.
We know thatin everyright-angled triangle, one angle is 90∘.
Example: Consider two right-angled trianglesΔAJU and ΔNIV
InΔAJU,∠AJU=90∘
and in ΔNIV,∠NIV=90∘
Since one angle is same in both, we can say that they have one pair of congruent angles.
So, if you take any two right-angled triangles, at least one pair of angles will be congruent, i.e. equal.
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:
Definition: 1 Mark
Proof: 1Mark
If two angles have the same measurement, they are congruent. Also, if two angles are congruent, their measurementsare same.
We know thatin everyright-angled triangle, one angle is 90∘.
Example: Consider two right-angled trianglesΔAJU and ΔNIV
InΔAJU,∠AJU=90∘
and in ΔNIV,∠NIV=90∘
Since one angle is same in both, we can say that they have one pair of congruent angles.
So, if you take any two right-angled triangles, at least one pair of angles will be congruent, i.e. equal.
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Question 2.
If ΔABC≅ΔRQP , then ∠P = _____ .
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