Constructing a Similar Triangle with a Scale Factor
Trending Questions
Draw a triangle ABC with side BC=6 cm, AB=5 cm and∠ABC=60∘. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.
Question 3
Draw a ΔABC in which BC= 6cm, CA = 5 cm and AB= 4 cm .Construct a triangle similar to it and of scale factor = 53.
Thinking process
Here, scale factor = mn=53 i.e m > n then the triangle to be construction is larger than the given through use this concept and then constant the required triangle.
Draw an isosceles triangle ABC in which AB=AC = 6 cm and BC=5 cm Construct a triangle PQR similar to ΔABC in which PQ = 8 cm, Also justify the construction.
Thinking process
(i)Here, for making two similar triangles with one vertex is base We assume that In ΔABC and ΔPQR, vertex B = vertex Q.
(ii) In ΔABC and ΔPQR, vertex B = vertex Q.
So, we get the required scale factor.
Now, construct a ΔABC and then a ΔPBR, similar to ΔABC whose sides are PQAB of the corresponding sides of the ΔABC.Prove that through a given point, we can draw only one perpendicular to a given line.
Construct a square in which each diagonal is 5 cm long.
The scale factor for constructing similar triangles gives the
Draw a parallelogram in which and angle , divide it into triangles and by the diagonal . Construct the triangle similar to triangle with scale factor . Draw the line segment parallel to where lies on extended side . Is a parallelogram?
Given AB = 3 cm, AC = 5 cm and ∠B=30∘, ΔABC cannot be uniquely constructed, with AC as base, why?
Two sides and included angle are given
The other two angles are not given
The vertex B cannot be uniquely located
The vertex A coincides with the vertex C
- smaller than
- larger than
- congruent to
To divide a line segment PQ in a certain ratio, we draw a ray PM. Why don’t we draw it with an obtuse angle?
The textbook says we should draw an acute angle.
Drawing an obtuse angle would make my constructions very congested.
The diagram would be very large.
We cannot measure an obtuse angle with the given line segment.
(a) 2 cm
(b) 4 cm
(c) 6 cm
(d) 8 cm