G(R)T13R Pt3 SCR

Geometry(R) Test 1-3 Review

Ms. Noer- Room 286

​Part I: Matching(17%)

​Part II: Multiple Choice(48%)

​Part III: Student Constructed Response- Short(28%)

​Part IV: Student Constructed Response- Extended(7%)

​Test 1-3 Review Part III: Question 9

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

Multiple Choice

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

What does "perpendicular" mean?

• Constant rate of change; formula is y₂=y₁ / x₂ – x₁

• Intersect to from right angles; slopes are negative       

           reciprocals

• Coplanar lines that never intersect; slopes are equal

• Of the same plane; lying on the same plane or flat surface

Multiple Choice

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

What does "bisector" mean?

• A point that divides a segment into two congruent segments;

   halfway point

• Intersect to from right angles; slopes are negative reciprocals

• Coplanar lines that never intersect; slopes are equal

• A line that cuts a segment/angle into two congruent parts

Multiple Choice

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

Where does a bisector intersect a segment?

• A point that divides a segment into two congruent segments;

   halfway point

• Intersect to from right angles; slopes are negative reciprocals

• Coplanar lines that never intersect; slopes are equal

• A line that cuts a segment/angle into two congruent parts

Multiple Choice

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

Which of the following equations is in "slope-intercept form"?

• $$y-y_1\ =\ m\left(x-x_1\right)$$  

• $$y=mx+b$$  

• $$Ax+By\ =\ C$$  

• $$m=\frac{y_2-y_1}{x_2-x_1}$$  

Multiple Choice

​Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

*Find the slope of NY.              (Formula for slope is:  $$m=\frac{y_2-y_1}{x_2-x_1}$$

To satisfy the "perpendicular" part of this clue, flip & negate it. (FAN slope)

What do you get?

•  

• $$-\frac{4}{3}$$  

•  

•  

Multiple Choice

Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

*Find the midpoint of NY.             (Formula for midpoint is:  $$MID\ =\ \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$

To satisfy the "bisector" part of this clue, you will use these coordinates to write an equation.

What are they?

•  (-16, 12)

• (-6, -2)

• (-8, 6) 

• (-3, -1) 

Multiple Choice

Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

Substitute in m = 4/3 and MID=(-3,-1) into the equation y=mx+b. 

Solve for b. What do you get?

• b=0

• b=1

• b=2

• b=3

Multiple Choice

Line segment NY has endpoints  N(-11,5) and Y(5,-7). 

Write the equation of the perpendicular bisector of  in slope-intercept form.

Substitute in m = 4/3 and b=3 into y=mx+b.

What do you get?

• $$y=\frac{4}{3}x-3$$  

• $$y=-\frac{3}{4}x+3$$  

• b=2

• b=3

​NICE WORK!