Question

Match the following:

$\begin{array}{cc}\text{a. Interior angles on the same side of the transversal}& \text{(i) 1 – 5, 2 – 6, 3 – 7 and 4 – 8}\\ \text{b. Alternate exterior angles}& \text{(ii) 4 – 6, 3 – 5}\\ \text{c. Corresponding angles}& \text{(iii) 1 – 7, 2 – 8}\\ \text{d. Alternate interior angles}& \text{(iv) 3 – 6, 4 - 5}\end{array}$

• A. a – iv, b – ii, c – iii, d - i
• B. a – iv, b – iii, c – i, d - ii
• C. a – iii, b – iv, c – i, d - ii
• D. a – iii, b – iv, c – ii, d - i

Answer 1

The correct option is B

a – iv, b – iii, c – i, d - ii

I. Corresponding angles: the angles which occupy the similar position at each intersection, where a straight line crosses two others, are called corresponding angles. If the two lines are parallel, the corresponding angles are equal. In the above case, the corresponding angles are 1 – 5, 2 – 6, 3 – 7 and 4 – 8.

II. Alternate exterior angles: thepairs of angleson opposite sides of the transversal, but outside the two lines, are called alternate exterior angles. In case the two lines are parallel, the alternate exterior angles are equal. Here, the alternate exterior angles are 1 – 7 and 2 – 8.

III. Alternate interior angles: thepairs of angleson opposite sides of the transversal, but inside the two lines, are called alternate interior angles. In case the two lines are parallel, the alternate interior angles are equal. In this case, the alternate interior angles are 3 – 5 and 4 – 6.

IV. Interior angles on the same side of the transversal: as the name suggests, they are the interior angles on a pair of lines and lie on the same side of the transversal. Here, the interior angles on the same side of the transversal are 3 – 6 and 4 – 5.