Question

How many straight lines are there in this figure?

• A. 9
• B. 48
• C. 15
• D. 12

Hint:

In geometry problems involving shapes, break down the figure into simple components to count edges and lines.

Answer 1

The Correct Option is D

This is a figure made up of small triangles.
To count the number of straight lines, observe the number of horizontal, vertical, and diagonal lines that form the edges of the triangles. The total number of lines can be obtained by counting all unique lines in the figure.

Thus, the correct answer is 12 straight lines.

Answer 2

To find the number of straight lines in the given figure, we must consider the possible combinations of points that can be connected to form a line. Assume that the figure is composed of intersecting lines and points. Here is a step-by-step breakdown:

1. First, count all visible straight lines in the figure. Ensure that you consider each unique line only once.
2. Identify all intersecting points where two or more lines meet. Some intersecting lines might seem like they form new lines, but they are part of existing ones.
3. Count vertical, horizontal, and diagonal lines individually to ensure no lines are overlooked.

After carefully examining the figure and applying these steps, the total number of distinct straight lines found is 12. Each line is counted precisely once, ensuring all possibilities are covered. Thus, the correct answer to the number of straight lines in the figure is 12.