English

In the Figure, Parts of the Two Triangles Bearing Identical Marks Arecongruent. State the Test by Which the Triangles Are Congruent. - Geometry Mathematics 2

Advertisements
Advertisements

Question

In the figure, parts of the two triangles bearing identical marks are
congruent. State the test by which the triangles are congruent.

Solution

Δ ABC and ΔPQR are congruent by hypotenuse side test.

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 2

RELATED QUESTIONS

Examine each pair of triangles in Figure, and state which pair of triangles are similar. Also, state the similarity criterion used by you for answering the question and write the similarity relation in symbolic form

figure (i)

 

figure 2

figure 3

figure 4

figure 5

figure 6

figure 7


Using Converse of basic proportionality theorem, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).


`triangleDEF ~ triangleMNK`. If DE = 5 and MN = 6, then find the value of `(A(triangleDEF))/(A(triangleMNK))`


State, true or false:

All equiangular triangles are similar.


In an isosceles ΔABC, the base AB is produced both ways in P and Q such that
AP × BQ = AC2.
Prove that ΔACP~ΔBCQ.  

 


In a circle, two chords AB and CD intersect at a point P inside the circle. Prove that
(a) ΔPAC ∼PDB (b) PA. PB= PC.PD  

 


In Δ ABC , MN || BC .

If `"AB"/"AM" = 9/4` , find `("Ar" ("trapezium MBCN"))/("Ar" . (triangle "ABC"))`


In the figure , ABCD is a quadrilateral . F is a point on AD such that AF = 2.1 cm and FD = 4.9 cm . E and G are points on AC and AB respectively such that EF || CD and GE || BC . Find `("Ar" triangle "BCD")/("Ar" triangle "GEF")`


A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find : BC, if B' C' = 15 cm. 


In ΔABC, D and E are the points on sides AB and AC respectively. Find whether DE || BC, if:

  1. AB = 9 cm, AD = 4 cm, AE = 6 cm and EC = 7.5 cm.
  2. AB = 6.3 cm, EC = 11.0 cm, AD = 0.8 cm and AE = 1.6 cm.

Sides of a triangle are 7, 24 and 25. Determine whether the triangle is a right-angled triangle or not.


In ΔABC, D and E are the mid-point on AB and AC such that DE || BC.
If AD = 4, AE = 8, DB = x - 4 and EC = 3x - 19, find x.


In ΔABC, D and E are the mid-point on AB and AC such that DE || BC.
If AD : BD = 4 : 5 and EC = 2.5cm, find AE.


ΔABC is right angled at A. AD is drawn perpendicular to BC. If AB = 8cm and AC = 6cm, calculate BD.


A map is drawn to scale of 1:20000. Find: The distance covered by 6cm on the map


A model of a ship is made to a scale of 1:500. Find: The volume of the model when the volume of the ship is 1km


If ∆ABC ~ ∆DEF such that area of ∆ABC is 9 cm2 and the area of ∆DEF is 16 cm2 and BC = 2.1 cm. Find the length of EF.


Areas of two similar triangles are 225 cm2 and 81 cm2. If side of smaller triangle is 12 cm, find corresponding side of major triangle. 


∆ABC ~ ∆PQR. If AM and PN are altitudes of ΔABC and ∆PQR respectively and AB2 : PQ2 = 4 : 9, then AM : PN = ______.


In ΔPQR, S and T are points on PQ and PR respectively. `(PS)/(SQ) = (PT)/(TR)` and ∠PST = ∠PRQ. Prove that PQR is an isosceles triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×