Geometry — practice questions with answers
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The point dividing the line segment joining (2, 3) and (8, 15) internally in the ratio 1 : 2 is:For what value of k are the points (1, 2), (3, k) and (5, 8) collinear?The areas of two similar triangles are 81 cm² and 49 cm². If a side of the larger triangle is 18…Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle that…The length of the tangent drawn to a circle of radius 5 cm from a point 13 cm from its centre is:The area of the triangle with vertices (1, 1), (4, 1) and (1, 5) is:An angle measures 125°. What type of angle is it?How many lines of symmetry does a rectangle that is not a square have?Two complementary angles are in the ratio 2 : 3. Find the larger angle (in degrees).In a triangle, an exterior angle measures 120° and one of its two interior opposite angles is 45°.…Two triangles have two sides and the angle included between those sides equal. By which rule are…How many lines of symmetry does a regular pentagon have?A transversal cuts two parallel lines. If one interior angle is 65°, what is the measure of the…An exterior angle of a triangle measures 110° and one of its interior opposite angles is 45°. The…The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The largest angle is:An arc of a circle subtends an angle of 80° at the centre. The angle it subtends at any point on…Which point lies on the y-axis at a distance of 4 units below the origin?In a cyclic quadrilateral ABCD, ∠A = 70°. Find ∠C.Two right-angled triangles have equal hypotenuses and one pair of equal legs. By which rule are…Two parallel lines are cut by a transversal. One pair of co-interior angles (interior angles on…In a right-angled triangle the altitude drawn from the right-angle vertex to the hypotenuse has…A chord of a circle is 24 cm long. The perpendicular distance from the centre of the circle to…Point P divides the line segment joining A(−2, 3) and B(6, −5) internally in the ratio AP : PB = 3…ABCD is a parallelogram with AB = 10 and AD = 6. The bisector of angle A meets side DC at the…In triangle ABC, D lies on AB and E lies on AC with DE parallel to BC. If AD = 4, DB = 6 and DE =…
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