# Congruence Criteria Sas And Asa Free Doubts and Solutions

### CBSE - IX - Mathematics - Triangles

## ABCD is a rectangle.AD bisects angle B.Show that it is a square.

**Vikas**31st January 2018, 12:32 PM

### CBSE - IX - Mathematics - Triangles

## Two line segments AC and BD intersect at their mid point O. Prove that AB = CD OA = OC....given

**Topperlearning User**10th August 2017, 8:33 AM

### CBSE - IX - Mathematics - Triangles

## In triangle ABC, AD is a median. BL and CM are perpendiculars on the median (or the median extended). Prove that BL = CM.

**Topperlearning User**10th August 2017, 8:32 AM

### CBSE - IX - Mathematics - Triangles

## Two right triangles ABC and DEF right angled at B and E are of equal area and AB = DE. If A = 35o, find the measure of .

**Topperlearning User**10th August 2017, 8:31 AM

### CBSE - IX - Mathematics - Triangles

## In PQR, if PQ = QR and L, M and N are the mid points of the sides PQ, QR and RP respectively. Prove that LN = MN.

**Topperlearning User**10th August 2017, 8:20 AM

### CBSE - IX - Mathematics - Triangles

## q is the bisector of angle P and S is any point on q. SM and SN are perpendiculars from S to the arms of angle P. Show that (i) PMS PNS (ii) SM = SN.

**Topperlearning User**10th August 2017, 8:19 AM

### CBSE - IX - Mathematics - Triangles

## In the figure, p q. M is the mid point of the line segment AB. Prove that M is also the mid point of any line segment CD having its end points on p and q respectively.

**Topperlearning User**10th August 2017, 8:18 AM

### CBSE - IX - Mathematics - Triangles

## It is given that AB = EF, BC = DE, AB BD and FE CE. Prove that ABD FEC.

**Topperlearning User**10th August 2017, 8:18 AM

### CBSE - IX - Mathematics - Triangles

## AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

**Topperlearning User**10th August 2017, 8:15 AM

### CBSE - IX - Mathematics - Triangles

## Prove that the medians of an equilateral triangle are equal.

**Topperlearning User**10th August 2017, 8:11 AM

### CBSE - IX - Mathematics - Triangles

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

**banerjee_milky**28th June 2017, 8:57 PM

### CBSE - IX - Mathematics - Triangles

## Q) ABCD is a parallelogram,if the two diagonals are equal then prove that the measure of angle ABC=90 degree.

**banerjee_milky**27th June 2017, 7:59 PM

### CBSE - IX - Mathematics - Triangles

## If D is the midpoint of the hypotenuse AC of the right angled triangle ABC,prove that BD=1/2AC

**gpnkumar0**5th September 2016, 8:50 PM

### CBSE - IX - Mathematics - Triangles

## In the given figure if angle X=Y, and AB=CB. Prove that AE=CD.

**atharvakute**7th July 2016, 8:06 PM

### CBSE - IX - Mathematics - Triangles

##
Triangle ABC and triangle DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF. Show that AC is equal and parallel to DF

Triangle ABC and triangle DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF. Show that AC is equal and parallel to DF

**Paresh**11th December 2015, 2:29 PM

### CBSE - IX - Mathematics - Triangles

**for spreading the message "Save Girl Child Save Future" a rally was organized by some students of a school. they were given a triangular cardboard piece PQR which they divided to three parts to make design and write slogan by drawing the angle bisector .PM of angle P and perpendicular PN to base QR. prove that angle MNP=1/2(angleQ-angleR),where angleQ>angleR. what is the benefit of these type of rallies?**

**for spreading the message "Save Girl Child Save Future" a rally was organized by some students of a school. they were given a triangular cardboard piece PQR which they divided to three parts to make design and write slogan by drawing the angle bisector .PM of angle P and perpendicular PN to base QR. prove that angle MNP=1/2(angleQ-angleR),where angleQ>angleR. what is the benefit of these type of rallies?**

**santhamma658**2nd October 2015, 3:22 PM

### CBSE - IX - Mathematics - Triangles

## what is CPCT ? WHERE IT IS USED ?

**prakritiprakash12**16th August 2015, 7:51 PM

### CBSE - IX - Mathematics - Triangles

## prove that the medians of an equilateral triangle are equal.
plese prove this in full steps.

**harshmandlik**29th August 2014, 9:30 AM

### CBSE - IX - Mathematics - Triangles

## In fig., O is the mid-point of AB and CD. Prove that AC = BD.

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

### CBSE - IX - Mathematics - Triangles

## In figure, AB = BC, AD = EC. Prove that ABE CBD.

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

### CBSE - IX - Mathematics - Triangles

## In figure, AP and DP are bisectors of two adjacent angles A and D of a quadrilateral ABCD. Prove that 2APD = B + C.

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

### CBSE - IX - Mathematics - Triangles

## In figure, BCD = ADC and ACB = BDA. Prove that AD = BC and A = B.

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

### CBSE - IX - Mathematics - Triangles

## In figure, ABCD is a square and DEC is an equilateral triangle. Prove that: (i) ADE BCE (ii) AE = BE (iii) DAE = 15°

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

### CBSE - IX - Mathematics - Triangles

## In fig., ABCD is a quadrilateral with AC = AD and AB bisects A. Show that ΔABC ΔABD. What can you say about BC and BD?

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

### CBSE - IX - Mathematics - Triangles

## In figure, AC= AE, AB= AD and BAD = EAC. Prove that BC= DE.

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

### CBSE - IX - Mathematics - Triangles

## In figure, and O is the midpoint of AD. Show that (i) (ii) O is also the midpoint of BC.

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

### CBSE - IX - Mathematics - Triangles

## In ABC, the bisector AD of A is perpendicular to side BC. Show that ABC is an isosceles triangle.

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

### CBSE - IX - Mathematics - Triangles

## In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see the given figure). Show that: (i) AMC BMD (ii) DBC is a right angle. (iii) DBC ACB (iv) CM = AB

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

### CBSE - IX - Mathematics - Triangles

## Prove that two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle.

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

### CBSE - IX - Mathematics - Triangles

## In fig., AD and BC are perpendiculars to a line segment AB such that AD = BC. Prove that CD bisects AB at P.

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

### CBSE - IX - Mathematics - Triangles

## In figure, two sides AB and BC and the median AM of ABC are respectively equal to sides DE and EF and the median DN of DEF. Prove that ABC DEF.

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

### CBSE - IX - Mathematics - Triangles

## In figure, AC = AE, AB = AD and BAD = EAC show that BC = DE.

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

### CBSE - IX - Mathematics - Triangles

## In figure, if AB = AD, x = w and y = z then prove that AP = AQ.

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

### CBSE - IX - Mathematics - Triangles

## In fig., ABC and DBC are two isosceles triangles on the same base BC and the vertices A and D are on the same side of BC. AD is extended to meet BC at P. Prove that AP bisects A. .

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

### CBSE - IX - Mathematics - Triangles

## In ABC, AB = AC. X and Y are points on AB and AC such that AX = AY. Prove that ABY ACX

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

### CBSE - IX - Mathematics - Triangles

## In figure, D and E are points on the base BC of a ABC such that BD = CE and AD = AE. Prove that ABE ACD.

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

### CBSE - IX - Mathematics - Triangles

## In fig., if ABD = ACE and AB = AC. Prove that BD = CE.

**Topperlearning User**21st August 2012, 2:25 AM

### CBSE - IX - Mathematics - Triangles

## In fig., if AC = BC, DCA = ECB and DBC = EAC then Prove that BD = AE.

**Topperlearning User**21st August 2012, 2:23 AM

### CBSE - IX - Mathematics - Triangles

## Prove that the midpoint of hypotenuse of right angle triangle is equidistant from three vertices

**sachin0706**22nd March 2009, 6:50 PM