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High School Mathematics - 2
8.8 Construction of Cyclic Quadrilateral

Construct a cyclic quadrilateral KLMN with KL 4cm, LM = 4.8 cm, KM = 6.8 cm, KN = 4.3 cm
  1. Step 1: Construct the triangle KLM.
  2. Step 2: Bosect the lines KL and LM and extend the bisector lines to meet at point O.
  3. Step 3: With O as origin, draw a circle passing through the points K, L and M.
  4. Step 4: From K, draw an arc of radius 4.3 cm to cut the circle at point N.
  5. Step 5: Draw the quadrilateral KLMN.

Directions: Construct cyclic quadrilaterals.
Q 1: Construct a cyclic quadrilateral XYZT with XY= 2.5cm, YZ=5.5cm, ZT=3cm and XTZ = 60

Q 2: Construct a cyclic quadrilateral ABCD with AB=4.5cm, BC=5.5cm, ABC = 110 degrees.

Q 3: Construct a cyclic quadrilateral XYZT with XY= 4.5cm, YZ=7.5cm, ZT=5cm and XTZ = 60

Q 4:

Q 5:

Q 6:

Q 7: Construct a cyclic quadrilateral XYZT with XY= 6.5cm, YZ=7.5cm, ZT=8cm and XTZ = 120 degrees.

Q 8:

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Question 10: This question is available to subscribers only!

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