(05.02 MC)
The figure shows a line graph and two shaded triangles that are similar.

which statement about the slope of the line is true?

Option C:

It is   throughout the line.

Solution:

Point on the larger shaded triangle are (0, 0) and (–6, –2).  

Point on the smaller shaded triangle are (–6, –2) and (–9, –3).

Slope of the line:

Slope of the larger triangle:

Here,  

Slope of the smaller triangle:

Here,  

Both slopes are equal.

It is   throughout the line.

Hence option B is the correct answer.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: