English
Maharashtra State BoardSSC (English Medium) 10th Standard

∆ABC ∼ ∆AQR. (AB)/(AQ) = 7/5, then which of the following option is true? A) A-Q-B B) A-B-Q C) A-C-B D) A-R-B

Advertisements
Advertisements

Question

∆ABC ∼ ∆AQR. `(AB)/(AQ) = 7/5`, then which of the following option is true?

Options

  • A-Q-B

  • A-B-Q

  • A-C-B

  • A-R-B

MCQ
Advertisements

Solution

A-Q-B

Explanation:


ΔABC ∼ ΔAQR and `(AB)/(AQ) = 7/5`

⇒ ΔABC is greater and ΔAQR is smaller.

∠A is a common angle.

∴ We get, A-Q-B

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Geometric Constructions - Exercise

RELATED QUESTIONS

Write down the equation of a line whose slope is 3/2 and which passes through point P, where P divides the line segment AB joining A(-2, 6) and B(3, -4) in the ratio 2 : 3.


Construct a triangle ABC with BC = 7 cm, ∠B = 60° and AB = 6 cm. Construct another triangle whose sides are `3/4` times the corresponding sides of ∆ABC.


Construct a ΔABC in which AB = 5 cm. ∠B = 60° altitude CD = 3cm. Construct a ΔAQR similar to ΔABC such that side ΔAQR is 1.5 times that of the corresponding sides of ΔACB.


Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts.


Find the co-ordinates of the points of trisection of the line segment AB with A(2, 7) and B(–4, –8).


Δ AMT ∼ ΔAHE. In  Δ AMT, MA = 6.3 cm, ∠MAT = 120°, AT = 4.9 cm, `(MA)/(HA) = 7/5`. construct  Δ AHE. 


______ number of tangents can be drawn to a circle from the point on the circle.



In the figure ΔABC ~ ΔADE then the ratio of their corresponding sides is:


ΔPQR ~ ΔABC, `(PR)/(AC) = 5/7`, then


Draw seg AB of length 9 cm and divide it in the ratio 3 : 2.


Construct an equilateral ∆ABC with side 5 cm. ∆ABC ~ ∆LMN, ratio the corresponding sides of triangle is 6 : 7, then construct ΔLMN and ΔABC.


Draw the line segment AB = 5cm. From the point A draw a line segment AD = 6cm making an angle of 60° with AB. Draw a perpendicular bisector of AD. Select the correct figure.


The image of construction of A’C’B a similar triangle of ΔACB is given below. Then choose the correct option.


If a triangle similar to given ΔABC with sides equal to `3/4` of the sides of ΔABC is to be constructed, then the number of points to be marked on ray BX is ______.


Construction of similar polygons is similar to that of construction of similar triangles. If you are asked to construct a parallelogram similar to a given parallelogram with a given scale factor, which of the given steps will help you construct a similar parallelogram?


By geometrical construction, it is possible to divide a line segment in the ratio `sqrt(3) : 1/sqrt(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 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 triangle ABC in which AB = 5 cm, BC = 6 cm and ∠ABC = 60°. Construct a triangle similar to ∆ABC with scale factor `5/7`. Justify the construction.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×