Question

ABCD is a quadrilateral in which all the four sides are equal . Show that both pairs of opposite side are equal​

Answer 1

Step-by-step explanation:

AB = BC = CD = DA... given.

Therefore, AB = CD,

BC = AD

proved.

Answer 2

ABCD is a quadrilateral with four equal sides

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal angles

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUARE

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at O

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by AC

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DAC

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DACAngle BCD is bisected by AC

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DACAngle BCD is bisected by AC Angles ACD = BCA

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DACAngle BCD is bisected by AC Angles ACD = BCASince, BAD = BCD = 90°

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DACAngle BCD is bisected by AC Angles ACD = BCASince, BAD = BCD = 90°Angles BAC = DAC = Angles ACD = BCA

ABCD is a quadrilateral with four equal sidesIf the sides are equal they will produce four equal anglesHence each angle will be 90 degree (Sum of interior angles is 360 degree)Hence ABCD is considered as a SQUAREAC and BD are joined which meet at OAC and BD are diagonals , which bisect interior angles.Angle BAD is bisected by ACAngles BAC = DACAngle BCD is bisected by AC Angles ACD = BCASince, BAD = BCD = 90°Angles BAC = DAC = Angles ACD = BCABAC = ACD

AB is parallel to CD

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)CBD = ADB

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)CBD = ADBThey are also interiorly alternate to each other.

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)CBD = ADBThey are also interiorly alternate to each other.So by converse theorem,

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)CBD = ADBThey are also interiorly alternate to each other.So by converse theorem,AD is parallel to BC

AB is parallel to CDSimilarly Angles ABD = CBD = ADB = CDB (when BD is the bisector)CBD = ADBThey are also interiorly alternate to each other.So by converse theorem,AD is parallel to BCHence opposite pairs of sides are parallel to each other

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