Geometry — practice questions, page 12
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QuestionTwo similar triangles have areas in the ratio 9 : 16. The ratio of their corresponding sides is:QuestionA chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the…QuestionA chord 40 cm long lies 21 cm from the centre of a circle. What is the radius of the circle?…QuestionThe radii of two circles with the same centre are 7 cm and 25 cm. A chord of the bigger circle…QuestionThe areas of two similar triangles are in the ratio 9 : 16. The ratio of their corresponding sides…QuestionFrom a point P that is 29 cm from the centre of a circle of radius 20 cm, a tangent PT is drawn.…QuestionTwo angles of a triangle are 55° and 65°. The measure of the third angle is: (answer in degrees)QuestionThe areas of two similar triangles are in the ratio 16 : 25. Find the ratio of their corresponding…QuestionA 48 cm chord of a circle lies 7 cm from the centre. What is the radius of the circle? (answer in…QuestionIn a circle, a chord 30 cm long is 8 cm away from the centre. What is the radius of the circle?…QuestionIf the angles of a triangle are in the ratio 3 : 5 : 7, what is the middle-sized angle? (answer in…QuestionTwo triangles are similar with the ratio of their sides 2 : 3. What is the ratio of their areas?QuestionWhat is the area (in square units) of the triangle with vertices (0, 0) , (4, 0) and (0, 6) ?QuestionThe length of a tangent drawn from a point 13 cm away from the centre of a circle of radius 5 cm is:QuestionHow many lines of symmetry does a square have?QuestionAn exterior angle of a triangle is 120°. If one interior opposite angle is 50°, the other interior…QuestionTwo angles of a triangle measure 45° and 65°. What is the third angle?QuestionBy which criterion are two triangles congruent if two sides and the included angle of one equal…QuestionAn equilateral triangle has how many lines of symmetry?QuestionTwo lines intersect at a point. If one of the angles formed is 50°, what is the measure of its…QuestionThree angles of a quadrilateral are 90°, 85° and 65°. What is the fourth angle?QuestionIn a triangle, two of the angles measure 55° and 65°. The third angle is (in degrees):QuestionWhich of the following is NOT a valid criterion for congruence of two triangles?QuestionThe opposite angles of a cyclic quadrilateral are:
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