हिंदी

In ΔDEF and ΔXYZ, DEXY=FEYZ and ∠E ≅ ∠Y. _______ test gives similarity between ΔDEF and ΔXYZ. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

In ΔDEF and ΔXYZ, `"DE"/"XY" = "FE"/"YZ"` and ∠E ≅ ∠Y. _______ test gives similarity between ΔDEF and ΔXYZ.

विकल्प

  • AAA

  • SAS

  • SAA

  • SSS

MCQ
रिक्त स्थान भरें

उत्तर

SAS 

In ΔDEF and ΔXYZ,

`"DE"/"XY" = "FE"/"YZ"`     ...(Given)

∠E ≅ ∠Y         ...(Given)

∴ ΔDEF ≅ ΔXYZ  ...(SAS Similarity triangle test)

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Similarity - Q.1 (A)

संबंधित प्रश्न

The diagonal BD of a parallelogram ABCD intersects the segment AE at the point F, where E is any point on the side BC. Prove that DF × EF = FB × FA


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).


State, true or false:

Two isosceles-right triangles are similar.


In the given figure, QR is parallel to AB and DR is parallel to AB and DR is parallel to QB.


Prove that: PQ2 = PD × PA.


In the given figure, AB || EF || DC; AB = 67.5 cm, DC = 40.5 cm and AE = 52.5 cm.

  1. Name the three pairs of similar triangles.
  2. Find the lengths of EC and EF.

O is any point in the interior of ΔABC. Bisectors of ∠AOB, ∠BOC and ∠AOC intersect side AB, side BC, side AC in
F, D and E respectively.
Prove that
BF × AE × CD = AF × CE × BD


D and E are points on the sides AB and AC respectively of Δ ABC such that AB=5.6cm, AD= 1.4cm, AC=7 .2cm and AE = 1.5 cm, show that DE is parallel to BC


On a map drawn to a scale of 1 : 2,50,000; a triangular plot of land has the following measurements : AB = 3 cm, BC = 4 cm and  ∠ABC = 90°.

Calculate : the actual lengths of AB and BC in km. 


In the given figure, PQ || AB; CQ = 4.8 cm QB = 3.6 cm and AB = 6.3 cm. Find : If AP = x, then the value of AC in terms of x.


In the given figure, ΔABC ~ ΔADE. If AE : EC = 4 : 7 and DE = 6.6 cm, find BC. If 'x' be the length of the perpendicular from A to DE, find the length of perpendicular from A to BC in terms of 'x'. 


In ΔPQR, L and M are two points on the base QR, such that ∠LPQ = ∠QRP and ∠RPM = ∠RQP.
Prove that : (i) ΔPQL ∼ ΔRPM
(ii) QL. Rm = PL. PM
(iii) PQ2 = QR. QL.


Prove that the area of the triangle BCE described on one side BC of a square ABCD as base is one half of the area of similar triangle ACF described on the diagonal AC as base.


In ΔABC, point D divides AB in the ratio 5:7, Find: `"AE"/"AC"`


Find the scale factor in each of the following and state the type of size transformation:
Model area = 75cm2, Actual area = 3cm2


ΔABC is enlarged, with a scale factor 5. Find: A'B', if AB = 4cm


A model of cargo tuck is made to a scale of 1:40. The length of the model is 15cm. Calculate: The volume of the model if the volume of the truck is 6m3


If BD ⊥ AC and CE ⊥ AB, prove that ∆AEC ~ ∆ADB


If ∆ABC – ∆PQR in which ∠A = 53° and ∠Q = 77°, then ∠R is


If ΔABC ~ ΔLMN and ∠A = 60° then ∠L = ?


In ΔABC, PQ || BC. If PB = 6 cm, AP = 4 cm, AQ = 8 cm, find the length of AC.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×