Question 1 :
State true or false: ABC is a right triangle with AB = AC. Bisector of $∠$A meets BC at D. Hence, BC = 2 AD.

Question 2 :
State true or false: In a triangle, the sum of any two sides is greater than the third side.

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d265f59b460d7261f5a5.PNG' /> In the fig above, ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Are these altitudes equal?

Question 4 :
If AB = QR, BC = PR and CA = PQ, then

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d242f59b460d7261f578.PNG' /> Are the triangles shown in the above figure congruent?

Question 6 :
In triangles ABC and PQR, $∠A = ∠Q and ∠B = ∠R$. Which side of $∆$ PQR should be equal to side AB of $∆$ ABC so that the two triangles are congruent?

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24cf59b460d7261f588.PNG' /> In the above fig, E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC. Is BF = CE?

Question 8 :
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Thus, $∆$ OCD is (a/an) ____________ triangle.

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d242f59b460d7261f579.PNG' /> Are the triangles shown in the above figure congruent?

Question 10 :
State true or false: ABCD is a quadrilateral in which AB = BC and AD = CD. So, BD bisects both the angles ABC and ADC.

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26af59b460d7261f5ac.PNG' /> In the above fig, ∆ ABC and ∆ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, is AP an angular bisector of ∠A as well as ∠D?

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d245f59b460d7261f57d.PNG' /> In the above fig, AB is a line segment and line $l$ is its perpendicular bisector. Is ∆ PCA ≅ ∆ PCB?

Question 13 :
State true or false: ABC and DBC are two triangles on the same base BC such that A and D lie on the opposite sides of BC, AB = AC and DB = DC. Thus, AD is the perpendicular bisector of BC.

Question 14 :
D is a point on the side BC of a $∆$ ABC such that AD bisects $∠$BAC. Then

Question 15 :
If $∆ PQR ≅ ∆ EDF$, then is it true to say that PR = EF?

Question 16 :
State true or false: In a triangle, side opposite to the greater angle is longer.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d259f59b460d7261f596.PNG' /> In the fig above, $l$ and $m$ are two parallel lines intersected by another pair of parallel lines p and q. Is ∆ ABC ≅ ∆ CDA?

Question 18 :
State true or false: In a triangle, other than an equilateral triangle, angle opposite the longest side is greater than $\frac{2}{3}$ of a right angle.

Question 19 :
State true or false: Angles opposite to equal sides of a triangle are equal.

Question 20 :
Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Thus,