Q12 of 168 Page 4

In , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects, then

A. BC =CY


B. BC = BY


C. BC CY


D. BC BY


Given in ΔABC, XY || BC and BY is a bisector of ∠XYC.



Since XY || BC,


∠YBC = ∠BYC [alternate angles]


Now, in Δ BYC, two angles are equal.


Hence, two corresponding sides will be equal.


∴ BC = CY

More from this chapter

All 168 →
10

XY is drawn parallel to the base BC of cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =

 11

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, the distance between their tops is

 13

In , D and E are points on side AB and AC respectively such that and AD: DB = 3 : 1. If EA = 3.3 cm, then AC =

 14

In triangles ABC and DEF, AB : ED = AC : EF and = 65°, then =