Draw a triangle ABC in which BC = 6 cm, CA = 5 cm and AB = 4 cm. Construct a triangle similar to it and of scale factor 5/3.
Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and ∠B = 90°. Construct a triangle similar to it and of scale factor 2/3 . Is the new triangle also a right triangle?
Draw a line segment of length 7 cm. Find a point P on it which divides it in the ratio 3:5.
Draw an equilateral triangle ABC of each side 4 cm. Construct a triangle similar to it and of scale factor 3/5 . Is the new triangle also an equilateral?
Write True or False and give reasons for your answer.
A pair of tangents can be constructed to a circle inclined at an angle of 170°.
Write True or False and give reasons for your answer.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
Write True or False and give reasons for your answer.
To construct a triangle similar to a given ∆ABC with its sides 7/3 of the corresponding sides of ∆ABC, draw a ray BX making acute angle with BC and X lies on the opposite side of A with respect to BC. The points B1, B2, …., B7 are located at equal distances on BX, B3 is joined to C and then a line segment B6C’ is drawn parallel to B3C where C’ lies on BC produced. Finally, line segment A’C’ is drawn parallel to AC.
To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be
(A) 135° (B) 90° (C) 60° (D) 120°
To construct a triangle similar to a given ∆ABC with its sides 8/5 of the corresponding sides of ∆ABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is
(A) 5 (B) 8 (C) 13 (D) 3
To construct a triangle similar to a given ∆ABC with its sides 3/7 of the corresponding sides of ∆ABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1, B2, B3, … on BX at equal distances and next step is to join
(A) B10 to C (B) B3 to C (C) B7 to C (D) B4 to C
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