If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why?
Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?
Is the following statement true? Why?
“Two quadrilaterals are similar, if their corresponding angles are equal”.
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°
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