Question

Match the definition in the picture below 1.Slopes of parallel lines2.Slopes of perpendicular lines3.Point slope form of a linear equation4.Equation of a circle5.Slope intercept form of a linear equation6.Median7.Altitude8.Perpendicular bisector9.Perfect square trinomial

Answer 1

W e shall match the following definitions to the appropriate headings;

(1)

`\begin{gathered} \text{Slopes of parallel lines;} \\ \text{EQUAL} \end{gathered}`

The slopes of parallel lines are always equal in value

(2)

`\begin{gathered} \text{Slopes of perpendicular lines;} \\ \text{OPPOSITE AND RECIPROCAL} \end{gathered}`

The slope of a line perpendicular to another line is a negative and at the same time a reciprocal (that is, negative inverse) of the other line.

A line with slope 3, would have a perpendicular with slope of

`-(1)/(3)`

(3)

`\begin{gathered} \text{ Point-slope form of a linear equation;} \\ (y-k)=m(x-h) \end{gathered}`

In this case the point

`(h,k)`

are the coordinates for the given point, while m is the slope also given.

(4)

`\begin{gathered} \text{Equation of a circle;} \\ (x-h)^2+(y-k)^2=r^2 \end{gathered}`

(5)

`\begin{gathered} \text{Slope}-\text{intercept form of a linear equation;} \\ y=mx+b \end{gathered}`

Where m is the slope and b is the y-intercept.

(6)

`\begin{gathered} \text{Segment in a triangle from a vertex to the midpoint } \\ of\text{ the opposite side} \end{gathered}`

(7)

`\begin{gathered} \text{Altitude;} \\ \text{Segment in a triangle from a vertex perpendicular to the line} \\ \text{that contains the opposite side} \end{gathered}`

(8)

`\begin{gathered} \text{Perpendicular Bisector;} \\ \text{ Line that is perpendicular to a segment at the midpoint} \end{gathered}`

(9)

`\begin{gathered} \text{Perfect square trinomial;} \\ x^2+2xy+y^2 \\ OR \\ x^2-2xy+y^2 \end{gathered}`