Question
✓
Answer
- You may observe that in $\triangle$ AOD and $\triangle$ BOC,
OA = OB (Given)
OD = OC
Also, since $\angle$ AOD and $\angle$ BOC form a pair of vertically opposite angles,
we have $\angle$ AOD = $\angle$ BOC
So, $\triangle$ AOD $\cong$ $\triangle$ BOC (by the SAS congruence rule) - In congruent triangles AOD and BOC, the other corresponding parts are also equal.
So, $\angle$ OAD = $\angle$ OBC and these form a pair of alternate angles for line segments AD and BC.
Therefore, AD || BC
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If l, m, n are three lines such that l ∥ m and $\text{n}\perp\text{l},$ prove that $\text{n}\perp\text{m}.$
→Calculate the value of x in the following figures.
Simplify:
$\Bigg(\frac{15^\frac{1}{4}}{3^\frac{1}{2}}\Bigg)^{-2}$
→$\Bigg(\frac{15^\frac{1}{4}}{3^\frac{1}{2}}\Bigg)^{-2}$
In the adjoining figure, ABCD and BQSC are two parallelograms. Prove that $\text{ar}(\triangle\text{RSC})=\text{ar}(\triangle\text{PQB}).$
→Find a rational number between 1.3 and 1.4
Check the following are solutions of the equation 2x - y = 6 and which are not:
(0, 6)
(0, 6)
Expand:
(-3a + 4b - 5c)2
(-3a + 4b - 5c)2
The class marks of a continuous distribution are:
1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64
Is it correct to say that the last interval will be 1.55 - 1.73? Justify your answer.
1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64
Is it correct to say that the last interval will be 1.55 - 1.73? Justify your answer.
Using factor theorem, show that g(x) is a factor of p(x), when
p(x) = 2x4 + 9x3 + 6x2 - 11x - 6, g(x) = x - 1
p(x) = 2x4 + 9x3 + 6x2 - 11x - 6, g(x) = x - 1
A cuboidal water tank is 6m long, 5m wide and 4.5m deep. How many litres of water can it hold? (Given, 1m3 = 1000 litres.)