Question

Match the following:

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

• 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 same relative position at each intersection are called corresponding angles. 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: thepairs of angles that lie on the opposite side of the transversal, but outside the two lines, are called alternate exterior angles. If the two lines are parallel, then the alternate exterior angles are equal. Here, the alternate exterior angles are 1 – 7 and 2 – 8.

III. Alternate interior angles: thepairs of angles that lie on the opposite side of the transversal, but inside the two lines, are called alternate interior angles. If the two lines are parallel, then the alternate interior angles are equal. Here, the altenate interior angles are 3 – 5 and 4 – 6.

IV. Co.interior angles on the same side of the transversal: as the name suggests, they are the interior angles that 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.