Question

Match the following:

$\begin{array}{cc}a.\text{Interior angles on the same side of the transversal}& \left(i\right)1–5,2–6,3–7and4–8\\ b.\text{Alternate exterior angles}& \left(ii\right)4–6,3–5\\ c.\text{Corresponding angles}& \left(iii\right)1–7,2–8\\ d.\text{Alternate interior angles}& \left(iv\right)3–6,4-5\end{array}$

• 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. When a transversal cuts two lines - the corresponding angles are the angles which occupy the same relative position at each intersection. If the two lines are parallel, then 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: the pairs of angles on 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: the pairs of angles on 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 altenate interior angles are 3 – 5 and 4 – 6.

IV. Interior angles on the same side of the transversal: The interior angles on the same side of the transversal are supplementary if the two lines are parallel. Here, the interior angles on the same side of the transversal are 3 – 6 and 4 – 5.