Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d262f59b460d7261f5a1.PNG' /> In the fig above is shown a right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B. Is CM = $\frac{1}{2}$ AB?

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d244f59b460d7261f57c.png' /> In the above fig, OA = OB and OD = OC. Is AD || BC?

Question 3 :
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 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d248f59b460d7261f581.PNG' /> In the above fig, line-segment AB is parallel to another line-segment CD. O is the mid-point of AD. Is ∆AOB ≅ ∆DOC?

Question 5 :
If two sides of a triangle are unequal, the angle opposite to the longer side is __________.

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d25af59b460d7261f598.PNG' /> In the above fig, line $l$ is the bisector of an angle ∠A and B is any point on $l$. BP and BQ are perpendiculars from B to the arms of ∠A. Are ∆ APB and ∆ AQB congruent to each other?

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d259f59b460d7261f597.PNG' /> In the fig above, $l$ and $m$ are two parallel lines intersected by another pair of parallel lines p and q. ∆ ABC ≅ ∆ CDA are congruent by which rule of congruence?

Question 8 :
'If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.' Which congruence rule is this?

Question 9 :
'If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.' Which congruence rule is this?

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d268f59b460d7261f5aa.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 ∆ ABD ≅ ∆ ACD?

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24cf59b460d7261f587.PNG' /> In the above fig, E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC. Is ∆ ABF ≅ ∆ ACE?

Question 12 :
State true or false: ABCD is a quadrilateral such that diagonal AC bisects the angles A and C. Thus, AB = AD and CB = CD.

Question 13 :
ABC is a right triangle such that AB = AC and bisector of angle C intersects the side AB at D. Hence,

Question 14 :
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 15 :
<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?