Without drawing the triangles, state the correspondence between the sides and the angles of the following pairs of congruent triangles: (a) ` A B C~= P Q R` (b) ` A B C~=Q R P`

In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C are equal respectively to the two sides P Q\ a n d\ Q R and the median P M of the other triangle P Q Rdot Prove that A B D~= P Q M (ii) A B C\ ~=\ \ P Q R

In two similar triangles A B C and P Q R , if their corresponding altitudes A D and P S are in the ratio 4:9, find the ratio of the areas of triangle A B C and triangle P Q R .

If A B C~= P Q R and A B C is not congruent to R P Q , then which of the following not true: (a) B C=P Q (b) A C=P R (c) A B=P Q (d) Q R=B C

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency : (a) In Delta ABC and Delta DEF , AB = DE, BC = EF and angle B = angle E . (b) In Delta ABC and Delta DEF, angle B = angle E = 90^(@) , AC = DF and BC = EF. (c) In Delta ABC and Delta QRP , AB = QR, angle B = angle R and angle C = angle P . (d) In Delta ABC and Delta PQR , AB = PQ, AC = PR and BC = QR. (e) In Delta ABC and Delta PQR , BC = QR, angle A = 90^(@), angle C = angle R = 40^(@) and angle Q = 50^(@) .

Which of the following pairs of triangles are congruent? If they are congruent, write out the pairs of equal angles. A B C : A B=3c m ,\ B C=4c m ,\ C A=2\ c m D E F : D E=2\ c m ,\ E F=3\ c m\ a n d\ F D=4\ c m P Q R : P Q=17\ c m ,\ Q R=15\ c m ,\ P R=18\ c m D E F : D E=18\ c m ,\ E F=17\ c m ,\ D F=15\ c m .

In triangles A B C\ a n d\ P Q R , if /_A=/_R ,\ /_B=/_P\ a n d\ A B=R P , then which one of the following congruence conditions applies: S A S (b) A S A (c) S S S (d) R H S

Draw an angle and label it as /_P Q Rdot Construct another angle /_B A C such that /_B A C=3\ /_P Q Rdot

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle R Q C)=3/8\ a r\ (triangle \ A B C) .