CBSE Class 9 Answered
1.given figure ABCDis a trapizuim in which A=x+25, B=y, C=95, D=2x+5 find the value of x+y
ABCD is a rombous. show that diagonal AC bisects angle A as well as angle C and diagonal BD bisects angle B as well as angle D
3. in a paralleogram ABCD the bisctor of angle A also bisets BC at angle P provethat AD=2AB
4.2 opposite angles of a paralleogram are (5x-20)and (70-4x)find the measurment of each of a paralleogram.
5.in a adjoining figure if ABCD is a quadrilateral in which AB is paralleogram to DC and AD=BC prove that angle c =angle D
Asked by | 16 Nov, 2013, 03:13: PM
Expert Answer
Please ask one question at a time. Your first question is incomple (figure is missing).
Following is the solution to your second question:
Let us join AC
In ABC
BC = AB (side of a rhombus are equal to each other)
1 = 2 (angles opposite to equal sides of a triangle are equal)
In ABC
BC = AB (side of a rhombus are equal to each other)
1 = 2 (angles opposite to equal sides of a triangle are equal)
But 1 = 3 (alternate interior angles for parallel lines AB and CD)
2 = 3
So, AC bisects C.
Also, 2 = 4 (alternate interior angles for || lines BC and DA)
1 = 4
So, AC bisects A
Similarly, we can prove that BD bisects B and D as well.
Answered by | 18 Nov, 2013, 11:57: AM
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