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Grade 10 Euclidean Geometry

Grade 10

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yamkela
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273 views3 pages

Grade 10 Euclidean Geometry

Grade 10

Uploaded by

yamkela
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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GRADE 10 EUCLIDEAN GEOMETRY

50 MARKS

QUESTION 1

1.1 In the diagram is:


𝐽𝑀 ∥ 𝐾𝐿, 𝐽𝐾 = 𝐽𝑂, 𝑂𝑁 = 𝐾𝐿, ∠𝐽 = 2𝑥, ∠𝑀 = 52° 𝑒𝑛 ∠𝐿2 = 𝑥.
1.1.1 Identify the quadrilateral ONLK and give a reason. (3)
1.1.2 Calculate, with reasons, the value of 𝑥. (6)
1.2 ABCD is a parallelogram. The bisector BQ, of ∠𝐵 meets AD in Q and the bisector
AP of ∠𝐴, meets BC in P. AP and BQ intersect at O.

1
Prove that:
1.2.1 𝐴𝑂 ⊥ 𝐵𝑄 (4)
1.2.2 ABPQ is a rhombus. (6)

1.2.3 If 𝐴𝑄 = 2√10, determine the length of DC. (4)

[23]
QUESTION 2

2.1

2.1.1 (3)

2.1.2 (3)

2.1.3 (3)

3333
2.2

2.2.1 (5)

2.2.2 (3)

2
2.3

2.3.1
2.3.2
2.3.3

[27]

TOTAL: 50 MARKS

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