Geometry — practice questions, page 11
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QuestionThree vertices of a parallelogram, taken in order, are A(1, 2), B(4, 8) and C(9, 6). What are the…QuestionA triangle has two of its sides measuring 6 cm and 8 cm, and the triangle is obtuse-angled. For…QuestionIn triangle ABC the sides AB and AC are equal. The point D lies on the side BC and the point E…QuestionIn quadrilateral ABCD the bisector of ∠A and the bisector of ∠B meet at the point P. If ∠C = 100°…QuestionWhat are the coordinates of the orthocentre of the triangle whose vertices are A(0, 0), B(4, 0)…QuestionA student claims to have drawn a triangle in which one median is exactly half the length of the…QuestionA chord is at a distance of 5 cm from the centre of a circle of radius 13 cm. The length of the…QuestionThe angles of a triangle are in the ratio 2 : 3 : 4. The largest angle is (answer in degrees)QuestionIn triangle ABC, DE is parallel to BC with D on AB and E on AC. If AD = 3 cm, DB = 6 cm and AE = 4…QuestionFrom an external point P, a tangent of length 12 cm is drawn to a circle of radius 5 cm. Find the…QuestionIn triangle PQR, ST is parallel to QR with S on PQ and T on PR. If PS = 4 cm, SQ = 6 cm and PT = 6…QuestionTwo tangents from an external point P touch a circle with centre O at A and B. If angle APB = 50°,…QuestionA chord of length 16 cm is at a distance of 6 cm from the centre of a circle. The radius of the…QuestionIn two concentric circles of radii 10 cm and 6 cm, a chord of the larger circle touches the…QuestionThe angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. Find the largest angle. (answer in…QuestionIn two similar triangles the ratio of corresponding sides is 3 : 4. The ratio of their areas is?QuestionA point P is 26 cm from the centre of a circle of radius 10 cm. What is the length of the tangent…QuestionFind the coordinates of the point that divides the line segment joining (1, 2) and (7, 11)…QuestionIn triangle PQR, a line ST parallel to QR meets PQ at S and PR at T. If PS = 4 cm, PQ = 10 cm and…QuestionFind the area of the triangle with vertices (0, 0), (8, 0) and (3, 5). (answer in square units)QuestionIn a circle of radius 29 cm, a chord is 20 cm away from the centre. How long is the chord? (answer…QuestionIn triangle PQR, a line XY parallel to QR meets PQ at X and PR at Y. If PX = 4 cm, XQ = 10 cm and…QuestionFrom an external point P, two tangents are drawn to a circle of radius 8 cm with centre O. If OP =…QuestionA chord of a circle is 24 cm long and is at a distance of 5 cm from the centre. Find the radius of…QuestionTwo straight roads meet at right angles at a crossing. A temple is 20 km from the crossing along…
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