Question

Use the following figure to find:
(i) BC, if AB = 7.2 cm.
(ii) GE, if FE = 4 cm.
(iii) AE, if BD = 4.1 cm
(iv) DF, if CG = 11 cm.

Answer 1

According to the equal intercept theorem since CD = DE
Therefore AB = BC and EF = GF

(i) BC = AB = 7.2cm

(ii) GE = EF + GF

= 2EF

= 2 x 4

=8cm

Since B, D, and F are the mid-point and AE || BF || CG
Therefore AE = 2BD and CG = 2DF

(iii) AE = 2BD

= 2 x 4.1

= 8.2

(iv) DF = `[1]/[2]`CG

= `[1]/[2]` x 11

= 5.5 cm