A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ = 12.5 cm, PA = 5 cm, BR= 6 cm and PB = 4 cm. Is AB|| QR?Give reasons for your answer.
P and Q are the points on the sides DE and DF of a triangle DEF such that DP = 5 cm, DE = 15 cm, DQ= 6 cm and QF = 18 cm. Is PQ|| EF? Give reasons for your answer
In ΔABC, AB = 24 cm, BC = 10 cm and AC = 26 cm. Is this triangle a right triangle? Give reasons for your answer.
If S is a point on side PQ of a ΔPQR such that PS = QS = RS, then
(A) PR . QR = RS2
(B) QS2 + RS2 = QR2
(C) PR2 + QR2= PQ2
(D) PS2 + RS2= PR2
It is given that ΔABC ∠DFE, ∠A =30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF= 7.5 cm. Then, the following is true:
(A) DE = 12 cm, ∠F = 50° (B) DE = 12 cm, ∠F = 100°
(C) EF = 12 cm, ∠D = 100° (D) EF = 12 cm, ∠D = 30°
In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3 DE. Then, the two triangles are
(A) congruent but not similar (B) similar but not congruent
(C) neither congruent nor similar (D) congruent as well as similar
If ΔA B C ~ ΔEDF and ΔABC is not similar to Δ DEF, then which of the following is not true?
(A) BC . EF = A C. FD (B) AB . EF = AC . DE
(C) BC . DE = AB . EF (D) BC . DE = AB . FD
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is
(A) 9 cm (B) 10 cm (C) 8 cm (D) 20 cm
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