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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Triangles/Congruence Criteria Sss And Rhs

Congruence Criteria Sss And Rhs Free Doubts and Solutions

CBSE - IX - Mathematics - Triangles

If the altitude drawn  from the vertices of triangle ABC  to opposite sides are equal, prove that the triangle is equilateral .

Asked by nisha_vini29 27th February 2018, 11:37 PM
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CBSE - IX - Mathematics - Triangles

State the congruence criterion for the triangles to be congruent in figure (i) and (ii) Write the correct correspondence for each. 

Asked by Topperlearning User 10th August 2017, 12:46 PM
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CBSE - IX - Mathematics - Triangles

In an isosceles triangle, prove that the altitude from the vertex divides the triangle into two congruent triangles..

Asked by Topperlearning User 10th August 2017, 12:46 PM
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CBSE - IX - Mathematics - Triangles

ABC is an isosceles triangle with AB = AC. Bisectors of B and C intersect at O. Prove that BO = CO and AO bisects BAC.

Asked by Topperlearning User 10th August 2017, 12:46 PM
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CBSE - IX - Mathematics - Triangles

ABCD is a parallelogram, if the two diagonals are equal, find the measure of ABC.

Asked by Topperlearning User 10th August 2017, 12:45 PM
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CBSE - IX - Mathematics - Triangles

ABCD is a square, X and Y are the points on the sides AB and DC respectively such that BY = CX. Prove that CY = BX and CBY = BCX.

Asked by Topperlearning User 10th August 2017, 12:44 PM
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CBSE - IX - Mathematics - Triangles

If two isosceles triangles have a common base, then the line joining their vertices bisects the base at right angles.

Asked by Topperlearning User 10th August 2017, 12:44 PM
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CBSE - IX - Mathematics - Triangles

In quadrilateral PQRS the diagonals intersect at O than prove that PQ + QR + RS + PS > PR + QS.

Asked by Topperlearning User 10th August 2017, 12:41 PM
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CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 12:40 PM
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CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 12:39 PM
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CBSE - IX - Mathematics - Triangles

ABCD is a parallelogram whose diagonals is equal in length and intersects at right angles. Prove that, ABCD is a square.

Asked by Topperlearning User 10th August 2017, 12:38 PM
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CBSE - IX - Mathematics - Triangles

ABCD is a quadrilateral in which AB = AD, BC = DC. AC and BD intersect at E. Prove that, AC bisects each of the angles A and C.

Asked by Topperlearning User 10th August 2017, 12:38 PM
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CBSE - IX - Mathematics - Triangles

A point O is taken inside an equilateral four sided figure ABCD such that its distances from the angular points D and B are equal. Show that AO and OC are in one and the same straight line.

Asked by Topperlearning User 10th August 2017, 12:36 PM
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CBSE - IX - Mathematics - Triangles

AD is the median of ABC. If BL and CM are drawn perpendiculars on AD produced, prove that BL= CM.

Asked by Topperlearning User 10th August 2017, 12:36 PM
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CBSE - IX - Mathematics - Triangles

In the given figure, BAAC and DEEF such that BA = DE and BF = DC. Prove that AC = EF.

Asked by Topperlearning User 10th August 2017, 12:35 PM
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CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 12:34 PM
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CBSE - IX - Mathematics - Triangles

show that in a right angled triangle, the hypotenuse is the longest side.
 

Asked by mahendra_soniya 17th August 2015, 6:15 PM
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CBSE - IX - Mathematics - Triangles

<table style="margin: 0px; padding: 0px; border: 0px; outline: 0px; font-size: 14px; vertical-align: baseline; border-collapse: collapse; border-spacing: 0px; width: 639px; color: #53555b; font-family: Lato, sans-serif; line-height: 0px; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;" cellspacing="0" cellpadding="0"> <tbody style="margin: 0px; padding: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;"> <tr class="even" style="margin: 0px; padding: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: #ecf0f4;"> <td style="margin: 0px; padding: 15px 10px; border: 1px solid #dde2e6; outline: 0px; font-size: 13px; vertical-align: baseline; font-stretch: normal; line-height: 14px; font-family: Lato, Arial, Helvetica, sans-serif; color: #53555b; background: transparent;"> <div class="title active" style="margin: 0px 0px 10px; padding: 0px; border: 0px; outline: 0px; font-size: 14px; vertical-align: baseline; color: #0081cd; font-stretch: normal; background: transparent;"><a style="margin: 0px 0px 10px; padding: 0px; direction: ltr; unicode-bidi: embed; border: 0px; outline: 0px; vertical-align: baseline; color: #666666 !important; background: transparent;"> <div style="margin: 0px; padding: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: transparent;">ABC is a triangle in which angle b = 2 angle c. D is a point on side bc such that add bisectes angle bac. and ab = cd. Find the measure of angle bac</div> </a></div> <div class="ansc" style="margin: 0px; padding: 0px; border: 0px; outline: 0px; font-size: 14px; vertical-align: baseline; color: #666666; font-stretch: normal; background: transparent;">Ans:&nbsp;<a style="margin: 0px; padding: 0px; direction: ltr; unicode-bidi: embed; border: 0px; outline: 0px; vertical-align: baseline; text-decoration: none; color: #0081cd; background: transparent;" href="http://www.topperlearning.com/forums/ask-experts-19/abc-is-a-triangle-in-which-angle-b-2-angle-c-d-is-a-point-mathematics-triangles-86710/reply"><img style="margin: 0px; padding: 0px; border-style: none; outline: 0px; vertical-align: middle; max-width: 500px !important; background: transparent;" src="https://images.topperlearning.com/topper/tinymce/imagemanager/files/prasenjit/expert.jpg" border="0" alt="" width="342" height="231" /><img class="Wirisformula" style="margin: 0px; padding: 0px; border-style: none; outline: 0px; vertical-align: middle; max-width: 500px !important; background: transparent;" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=d04c696d7509c49ecdfd47f30b468ecc.png" border="0" alt="L e t space angle B A C equals 2 x angle B A D space equals x space a n d space angle D A C space equals x space left square bracket S i n c e space A D space i s space t h e space a n g l e space b i s e c t o r right square bracket angle A C D equals y comma space angle A B D equals 2 y left square bracket G i v e n space angle B equals 2 angle C right square bracket A l s o space i t space i s space g i v e n space t h a t space A B equals C D angle A C D equals angle D A C rightwards double arrow y equals x angle B A C plus angle A B C plus angle A C D equals 180 degree rightwards double arrow 2 x plus 2 y plus y equals 180 degree rightwards double arrow 2 x plus 3 y equals 180 degree rightwards double arrow 2 x plus 3 x equals 180 degree rightwards double arrow 5 x equals 180 degree rightwards double arrow x equals 36 degree therefore angle B A C equals 2 cross times 36 degree equals 72 degree " align="middle" /></a></div> </td> <td style="margin: 0px; padding: 15px 10px; border: 1px solid #dde2e6; outline: 0px; font-size: 13px; vertical-align: baseline; font-stretch: normal; line-height: 14px; font-family: Lato, Arial, Helvetica, sans-serif; color: #53555b; background: transparent;"><a style="margin: 0px; padding: 0px; direction: ltr; unicode-bidi: embed; border: 0px; outline: 0px; vertical-align: baseline; text-decoration: none; color: #0081cd; background: transparent;" href="http://www.topperlearning.com/dashboard/public_profile/MjAwOTgyMQ==">Vatsal Choudhary</a></td> </tr> <tr class="odd" style="margin: 0px; padding: 0px; border: 0px; outline: 0px; vertical-align: baseline; background: #f4f7fb;"> <td style="margin: 0px; padding: 15px 10px; border: 1px solid #dde2e6; outline: 0px; font-size: 13px; vertical-align: baseline; font-stretch: normal; line-height: 14px; font-family: Lato, Arial, Helvetica, sans-serif; color: #53555b; background: transparent;"> <p class="timestamp" style="margin: 0px 0px 7px; padding: 0px; font-size: 12px; border: 0px; outline: 0px; vertical-align: baseline; font-stretch: normal; color: #868a93; background: transparent;">In this solution provided by meritnation please tell me how angle acd = angle dac and how ab = cd</p> </td> </tr> </tbody> </table>

Asked by vatsalchoudhary41 25th December 2014, 3:45 PM
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CBSE - IX - Mathematics - Triangles

Asked by araima2001 4th July 2014, 5:06 PM
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CBSE - IX - Mathematics - Triangles

In fig., A is a point equidistant from two lines l1 and l2 intersecting at a point P. Show that AP bisects the angle between l1 and l2.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Triangles

Two sides AB and BC and median AM of ABC are respectively equal to the sides PQ and QR and median PN of PQR. Show that ABM PQN.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Triangles

In the following figure, AD is a median of and BL and CM are perpendiculars drawn from B and C respectively on AD and AD produced respectively. Prove That BL=CM.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Triangles

In figure, D is the mid-point of base BC, DE and DF are perpendiculars to AB and AC respectively such that DE = DF. Prove that B = C.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Triangles

In figure, AB = AC, D is the point in the interior of ABC such that DBC = DCB. Prove that AD bisects BAC of ABC.

Asked by Topperlearning User 6th December 2013, 2:12 AM
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