Home
Class 9
MATHS
In a cyclic trapezium ABCD, side AB is p...

In a cyclic trapezium `ABCD`, side `AB` is parallel to side `DC`. Prove that :
side `AD` = side `BC`.

Text Solution

AI Generated Solution

To prove that in a cyclic trapezium \(ABCD\) with \(AB \parallel DC\), the sides \(AD\) and \(BC\) are equal, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information**: We are given a cyclic trapezium \(ABCD\) where \(AB\) is parallel to \(DC\). 2. **Draw the Figure**: ...
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    NAGEEN PRAKASHAN|Exercise Exercise 10a|22 Videos

  • CIRCLE

    NAGEEN PRAKASHAN|Exercise Exercise 10b|19 Videos

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Question)|5 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

In the figure ABCD is a trapezium in which side AB is parallel to side DC and E is the midpoint of side AD.If F is a point on the side BC such that the line segment EF is parallel to DC.Prove that Fis the mid-point of B BC and EF=(1)/(2)(AB+DC)

In Figure,ABCD isa trapezium in which side AB is a parallel to side DC and E is the mid- point of side AD. If F is a point on the side BC such that the segment EF is paralle side DC. Prove that F is the mid point of BC and EF=(1)/(2)(AB+DC)

In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.

In a trapezium ABCD, AB is parallel to CD. If E is midpoint of side AD and a line drawn from point E, parallel to the parallel sides cuts BC at F then

In trapezium ABCD side AB|| side PQ|| side DC, AP=15, PD=12, QC=14 , find BQ.

The line segments joining the midpoints M and N of parallel sides AB and DC respectively of a trapezium ABCD is perpendicular to both the sides AB and DC. Prove that AD=BC

ABCD is a cyclic trapezium whose side AD and BC are parallel to each other. If angle ABC=62^(@) then the measure of the angleBCD is :

In quadrilateral ABCD, side AB is parallel to side DC. IFangleA:angleD=1:2andangleC:angleB=4:5. (i) Calculate wach angle of the quadrilateral. (ii) Assign special name to quadrilateral ABCD.

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD