REASONING TRIANGLE COUNTING TRICKS. #reasoning

In Fig.(1),PL perp OA and PM perp OB such that PL=PM. Is Delta PLO=Delta PMO? Given reasons in support of your answer.

Assertion: In triangles ABC and PQR, angleA= angleP, angleC= angleR and AC=PR . The two triangles are congruent by ASA congruence. Reason : If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria. (a) Assertion and reason both are correct and reason is the correct explanation for the assertion. (b) Assertion and reason both are correct and reason is not the correct explanation for the assertion. (c) Assertion is correct but reason is wrong. (d) Reason is correct but assertion is wrong.

In Delta ABC , if AB^(2) = AC^(2) + CB^(2) . State with reason whether Delta ABC is a right angled triangle or not.

Show that the points (2,0), (-2,0) and (0,2) are the vertices of a triangle. Also state with reason the type of the triangle .

Assertion: In DeltaABC, AB=AC and angleB=50^(@) , then angleC is 50^(@) Reason : In a triangle, angles opposite to equal sides are equal. (a) Assertion and reason both are correct and reason is the correct explanation for the assertion. (b) Assertion and reason both are correct and reason is not the correct explanation for the assertion. (c) Assertion is correct but reason is wrong. (d) Reason is correct but assertion is wrong.

A statements of Assertion (A) is followed by a statement of Reason (R ). Mark the correct choice as. Assertion (A): ABC is an isoseles triangle right triangle , right angled at C. Then AB^(2) = 3AC^(2) . Reason (R ): In an isosceles triangle ABC if AC = BC and AB^(2) = 2AC^(2) then angle C = 90^(@) .

Assertion : Delta ABC is an acute angled triangle, angle A, angle B and angle C are less than 90^(@) Reason : Triangles are classified according to the sides and the angles.

Assertion (A) : If two triangles are congruent their corresponding angles are equal. Reason (R ) : Area of two congruent triangles are equal.