Mathematics
In the given figure, medians AD and BE of ΔABC meet at G and DF ∥ BE. Prove that :
(i) EF = FC.
(ii) AG : GD = 2 : 1.
Related Questions
In the adjoining figure, ABCD is a parallelogram in which AB = 16 cm, BC = 10 cm and L is a point on AC such that CL : LA = 2 : 3. If BL produced meets CD at M and AD produced at N, prove that :
(i) ΔCLB ∼ ΔALN.
(ii) ΔCLM ∼ ΔALB.
In the given figure, AB ∥ PQ and AC ∥ PR. Prove that BC ∥ QR.
In the given figure, DE ∥ BC and BD = DC.
(i) Prove that DE bisects ∠ADC.
(ii) If AD = 4.5 cm, AE = 3.9 cm and DC = 7.5 cm, find CE.
(iii) Find the ratio AD : DB.
In the given figure, BA ∥ DC. Show that ΔOAB ∼ ΔODC. If AB = 4 cm, CD = 3 cm, OC = 5.7 cm and OD = 3.6 cm, find OA and OB.
