A B Diagran асcurat b – 2a C Figure 2 Figure 2 shows a quadrilateral OABC OA = a, OB = b and BC = b – 2a (a) (i) Prove that AB is parallel to OĆ (ii) Show that AB:0C = 1:2 The point D lies on OB such that OD:DB = 2:3 (b) Find the ratio of the area of A ODC:the area of A OAB.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A
B
Diagran
асcurat
b – 2a
C
Figure 2
Figure 2 shows a quadrilateral OABC
OA = a, OB = b and BC = b – 2a
(a) (i) Prove that AB is parallel to OĆ
(ii) Show that AB:0C = 1:2
The point D lies on OB such that OD:DB = 2:3
(b) Find the ratio of the area of A ODC:the area of A OAB.
Transcribed Image Text:A B Diagran асcurat b – 2a C Figure 2 Figure 2 shows a quadrilateral OABC OA = a, OB = b and BC = b – 2a (a) (i) Prove that AB is parallel to OĆ (ii) Show that AB:0C = 1:2 The point D lies on OB such that OD:DB = 2:3 (b) Find the ratio of the area of A ODC:the area of A OAB.
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