# 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 .

**nisha_vini29**27th February 2018, 11:37 PM

### 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.

**Topperlearning User**10th August 2017, 12:46 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:46 PM

### 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.

**Topperlearning User**10th August 2017, 12:46 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:45 PM

### 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.

**Topperlearning User**10th August 2017, 12:44 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:44 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:41 PM

### 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.

**Topperlearning User**10th August 2017, 12:38 PM

### 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.

**Topperlearning User**10th August 2017, 12:38 PM

### 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.

**Topperlearning User**10th August 2017, 12:36 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:36 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 12:35 PM

### CBSE - IX - Mathematics - Triangles

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

**mahendra_soniya**17th August 2015, 6:15 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**4th June 2014, 1:23 PM

### 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.

**Topperlearning User**6th December 2013, 2:12 AM