Question

Given the following graph, define a) the vertex, b) the intercepts, c) the axis of symmetry, and the sign of the lead coefficient.

Answer 1

Option D is correct

`Slope`
`of`
`AC=Slope`
`of`
`DF`

Explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

`(BC)/(EF)=(AB)/(DE)` [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

`(AB)/(BC)=(DE)/(EF)` [Property of proportion]

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

then by definition of slope;

4.

`Slope`
`of`
`AC=(BC)/(AB)`

5.

`Slope`
`of`
`DF=(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;

`Slope`
`of`
`AC= Slope`
`of`
`DF`

Therefore, the missing step in 6 we get,

`Slope`
`of`
`AC= Slope`
`of`
`DF`