Answer:
Option C
Step-by-step explanation:
From the graph attached,
Slope of the line passing through two points A and B will be,
m = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{12}{8}[/tex]
= [tex]\frac{3}{2}[/tex]
Triangles having same ratio of Height and base (slope) will lie on the line graphed.
Option A
Slope pf the triangle = [tex]\frac{44}{21}[/tex]
[tex]\frac{3}{2}\neq \frac{44}{21}[/tex]
Slope of the line ≠ Slope of the triangle
Therefore, triangle will not lie on the line.
Option B
Slope of the triangle = [tex]\frac{36}{12}=\frac{3}{1}[/tex]
[tex]\frac{3}{2}\neq \frac{3}{1}[/tex]
Triangle will not lie on the line.
Option C
Slope of the triangle = [tex]\frac{30}{20}= \frac{3}{2}[/tex]
Since, slope of the line = slope of the triangle
[tex]\frac{3}{2}= \frac{3}{2}[/tex]
Triangle will lie on the line.
Option D
Slope of the triangle = [tex]\frac{52}{26}=\frac{2}{1}[/tex]
But [tex]\frac{3}{2}\neq \frac{2}{1}[/tex]
Therefore, triangle will not lie on the given line.
