Question 2 2.1 MJ is perpendicular to JK and ML is perpendicular to LK and M is the centre of the circle. Prove that JMLK is a kite. (5) 2.2 In the diagram, BCDE and AODE are parallelograms. E 2.2.1 Prove that OF || AB. D 2.2.2 Prove that ABOE is a parallelogram. 2.3 In the diagram below E, F, G and H are the midpoints of AD, AB, BC and CD respectively. EH bisects DEG and EF bisect AEG. Prove that: A (4) (4) 2.3.1 EH || FG. (4) 2.3.2 EFG = 90°. (4) 2.3.3 EFGH is a rectangle. (4) D x H F E Ух 0 # B A H A G C [25]
Question 2 2.1 MJ is perpendicular to JK and ML is perpendicular to LK and M is the centre of the circle. Prove that JMLK is a kite. (5) 2.2 In the diagram, BCDE and AODE are parallelograms. E 2.2.1 Prove that OF || AB. D 2.2.2 Prove that ABOE is a parallelogram. 2.3 In the diagram below E, F, G and H are the midpoints of AD, AB, BC and CD respectively. EH bisects DEG and EF bisect AEG. Prove that: A (4) (4) 2.3.1 EH || FG. (4) 2.3.2 EFG = 90°. (4) 2.3.3 EFGH is a rectangle. (4) D x H F E Ух 0 # B A H A G C [25]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 24E
Question
In the diagram below E, F, G and I are the midpoints of AD, AB, BC and CD respectively E bisects DEG and EF bisects AEG. Prove that:
2.1 EH // FG
2.2 EFG = 90°
2.3 EFGH is a rectangle
![Question 2
2.1 MJ is perpendicular to JK and ML is perpendicular to LK and M is the centre of the
circle. Prove that JMLK is a kite.
(5)
2.2 In the diagram, BCDE and AODE are parallelograms.
E
2.2.1 Prove that OF || AB.
D
2.2.2 Prove that ABOE is a parallelogram.
2.3 In the diagram below E, F, G and H are the midpoints of AD, AB, BC and CD
respectively. EH bisects DEG and EF bisect AEG.
Prove that:
A
(4)
(4)
2.3.1 EH || FG.
(4)
2.3.2 EFG = 90°.
(4)
2.3.3 EFGH is a rectangle.
(4)
D
x
H
F
E
Ух
0
#
B
A
H
A
G
C
[25]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f2a488-3312-4a68-95d2-18082b6c96d2%2Ff6d884fc-6711-4d36-a23d-86905d0f5bf7%2Fjxwgamr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
2.1 MJ is perpendicular to JK and ML is perpendicular to LK and M is the centre of the
circle. Prove that JMLK is a kite.
(5)
2.2 In the diagram, BCDE and AODE are parallelograms.
E
2.2.1 Prove that OF || AB.
D
2.2.2 Prove that ABOE is a parallelogram.
2.3 In the diagram below E, F, G and H are the midpoints of AD, AB, BC and CD
respectively. EH bisects DEG and EF bisect AEG.
Prove that:
A
(4)
(4)
2.3.1 EH || FG.
(4)
2.3.2 EFG = 90°.
(4)
2.3.3 EFGH is a rectangle.
(4)
D
x
H
F
E
Ух
0
#
B
A
H
A
G
C
[25]
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