Construction of Similar Triangles
Trending Questions
By geometrical construction, it is possible to divide a line segment in the ratio . Write True or False and give reasons for your answer.
To construct a triangle similar to a given with its sides of the corresponding sides of , draw a ray making acute angle with and lies on the opposite side of with respect to . The points are located at equal distances on , is joined to and then a line segment is drawn parallel to where lies on produced. Finally, line segment is drawn parallel to . Write ‘True’ or ‘False’ and justify your answer
- True
- False
- 7
- 3
- 4
- 6
Step 1 : Draw a line segment PQ of length 5 in.
Step 2 : Taking P as centre and radius of 4 inches, draw an arc above PQ.
Step 3 : ?
Step 4 : Join PR and QR.
- From Q, draw an arc of radius of 3 inches so that the two arcs intersect at a point which is marked as R.
- From Q, draw an arc of radius of 4 inches so that the two arcs intersect at a point which is marked as R.
- From Q, draw an arc of radius of 5 inches so that the two arcs intersect at a point which is marked as R.
- From Q, draw an arc of radius of 6 inches so that the two arcs intersect at a point which is marked as R.
- 5
There is an equilateral triangle of side 5 cm. What is the length of the square whose area is equal to the area of the triangle ? (use construction)
2.5
3.3
4
9
To construct a triangle similar to a given ΔABC with its sides 85 of the corresponding sides of ΔABC 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
A line segment AB is divided in the ratio 4:9 by a point C.
Find the length AC (in cm) if AB=26 cm.
- 8
In △ ABC and △ DEF, ∠A = ∠E = 40∘ and ABED = ACEF. Find ∠B if ∠F is 65∘.
35∘
65∘
75∘
85∘