Advertisements
Advertisements
प्रश्न
Construct a triangle similar to a given triangle PQR with its sides equal to `7/3` of the corresponding sides of the triangle PQR (scale factor `7/3 > 1`)
उत्तर
Given triangle ABC, we are required to construct another triangle whose sides are `7/3` of the corresponding sides of the ∆ABC.
Steps of construction:
(i) Construct a ∆PQR with any measurement.
(ii) Draw a ray QX making an acute angle with QR on the side opposite to the vertex P.
(iii) Locate 7 points Q1, Q2, Q3, Q4, Q5, Q6, Q7 on QX.
So that QQ1 = Q1Q2 = Q2Q3 = Q3Q4 = Q5Q6 = Q6Q7 
(iv) Join Q3 to R and draw a line through Q7 parallel to Q3 R intersecting the extended line segment QR at R’.
(v) Draw a line parallel to RP. Intersecting the extended line segment QP at P’.
∴ ∆P’QR’ is the required triangle.
APPEARS IN
संबंधित प्रश्न
In figure, considering triangles BEP and CPD, prove that BP × PD = EP × PC.
State, true or false:
Two congruent polygons are necessarily similar.
In the given figure, ∆ABC and ∆AMP are right angled at B and M respectively.
Given AC = 10 cm, AP = 15 cm and PM = 12 cm.
- Prove that: ∆ABC ~ ∆AMP
- Find: AB and BC.
State the SSS-similarity criterion for similarity of triangles
In ∆ABC, ray BD bisects ∠ABC and ray CE bisects ∠ACB. If seg AB ≅ seg AC then prove that ED || BC.
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find : A' B', if AB = 4 cm.
If ΔABC ~ ΔDEF, then writes the corresponding congruent angles and also write the ratio of corresponding sides.
Choose the correct alternative:
If ΔABC ~ ΔPQR and 4A (ΔABC) = 25 A(ΔPQR), then AB : PQ = ?
If figure OPRQ is a square and ∠MLN = 90°. Prove that ∆LOP ~ ∆QMO
If figure OPRQ is a square and ∠MLN = 90°. Prove that ∆QMO ~ ∆RPN
