Question

1. use the diagram below to answer the following questions.

a) name the transversal connecting ∠1 and ∠5.
b) name the transversal connecting ∠7 and ∠14.
c) name the transversal connecting ∠8 and ∠11.
d) name the transversal connecting ∠6 and ∠15.
e) name the transversal connecting ∠3 and ∠9.

Explanation:

Step1: Recall transversal definition

A transversal is a line that intersects two or more lines at distinct points.

Step2: Analyze for ∠1 and ∠5

By observing the diagram, the line that intersects the lines containing ∠1 and ∠5 is the horizontal - line at the top.

Step3: Analyze for ∠7 and ∠14

The line that intersects the lines containing ∠7 and ∠14 is the vertical - line on the right.

Step4: Analyze for ∠8 and ∠11

The line that intersects the lines containing ∠8 and ∠11 is the horizontal - line at the bottom.

Step5: Analyze for ∠6 and ∠15

The line that intersects the lines containing ∠6 and ∠15 is the vertical - line on the left.

Step6: Analyze for ∠3 and ∠9

The line that intersects the lines containing ∠3 and ∠9 is the diagonal - line slanting upwards to the right.

Answer:

a) The transversal connecting ∠1 and ∠5 is the top - horizontal line.
b) The transversal connecting ∠7 and ∠14 is the right - vertical line.
c) The transversal connecting ∠8 and ∠11 is the bottom - horizontal line.
d) The transversal connecting ∠6 and ∠15 is the left - vertical line.
e) The transversal connecting ∠3 and ∠9 is the diagonal line slanting upwards to the right.