Geometry — practice questions, page 6
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QuestionThe area of parallelogram ABCD is 80 cm². P is any point on side CD. What is the area of triangle…QuestionIn parallelogram ABCD, ∠DAB = 75° and ∠DBC = 60°. Find ∠CDB.QuestionABCD is a square and BCE is an equilateral triangle drawn inside it on side BC. Find ∠AED.QuestionA rectangular sheet ABCD has AB = 8 cm and BC = 6 cm. It is folded so that corner C lands exactly…QuestionIn trapezium ABCD, AB ∥ DC and ∠A is twice ∠D. Find ∠A.QuestionABCD is a kite with AB = AD and CB = CD. If ∠BAD = 70° and ∠BCD = 50°, find ∠ABC.QuestionABCD is a square of side 10 cm. P is the midpoint of BC and Q is the midpoint of CD. What is the…QuestionWhat is the measure of each interior angle of a regular decagon?QuestionEach interior angle of a regular polygon measures 165°. How many sides does the polygon have?QuestionIn a regular polygon, each interior angle exceeds each exterior angle by 108°. How many sides does…QuestionThe angles of a pentagon are x°, (x + 10)°, (x + 20)°, (x + 30)° and (x + 40)°. What is the…QuestionA regular hexagon has sides of 8 cm. How long is its longest diagonal?QuestionIn regular pentagon ABCDE, the diagonals AC and BD meet at P. Find ∠BPC.QuestionThe sides AB and DC of a regular octagon ABCDEFGH are extended to meet at P. Find ∠BPC.QuestionThe area of a regular hexagon is 150√3 cm². What is its perimeter?QuestionFor how many values of n (n ≥ 3) is each interior angle of a regular n-sided polygon a whole…QuestionThe sum of all but one of the interior angles of a convex polygon is 1500°. How many sides does…QuestionAll the diagonals from one vertex of a 12-sided polygon are drawn. Into how many triangles is the…QuestionTwo regular polygons have their numbers of sides in the ratio 1 : 2, and their interior angles in…QuestionEach interior angle of a regular polygon is five times each exterior angle. How many sides does it…QuestionWhat is the area of a regular octagon with sides of 2 cm?QuestionA regular hexagon is inscribed in a circle of radius 7 cm. What is the perimeter of the hexagon?QuestionA regular 12-sided polygon is inscribed in a circle of radius 5 cm. What is its area?QuestionAt most how many interior angles of a convex polygon can be acute?QuestionABCDEF is a regular hexagon of area 48 cm². What is the area of triangle ACE?
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