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3 years ago

1. ΔABC and ΔDEF are similar = Given

Mathematics

2 answers:

NISA [10]3 years ago

7 0

Answer:

Option D is correct

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

Step-by-step explanation:

Given:

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

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

Property of proportions allows you to cross multiply the equation.

then;

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

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

then by definition of slope;

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

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

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,

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

deff fn [24]3 years ago

3 0

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

Hope this helped☺☺

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