Question

1. ΔABC and ΔDEF are similar = Given

Answer 1

Answer:

Option D is correct

$\text{Slope of AC} = \text{Slope of DF}$

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

$\frac{BC}{EF} = \frac{AB}{DE}$ [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

$\frac{AB}{BC} = \frac{DE}{EF}$   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

$\text{Slope of AC} = \frac{BC}{AB}$

5.

$\text{Slope of DF} = \frac{EF}{DE}$

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

$\text{Slope of AC} = \text{Slope of DF}$

Therefore, the missing step in 6 we get,

$\text{Slope of AC} = \text{Slope of DF}$

Answer 2

I think the answer is d. The slope of AC=Slope of DF.

Hope this helped☺☺