Parallel
Perpendicular
Shapes
Distance
100

write an equation parallel to y = 3/4(x) + 7

y = 3/4(x) - 5

100

write an equation perpendicular to y = -4/5(x) + 3

y = 5/4(x) + 2

100

What shape(s) has all equal sides?

square and rhombus 

100

Are there congruent sides in AB = 4.2, BC = 7.7, CD = 4.2, and AD = 10.5 

YES AB = CD 

200

Is the line containing (4,1) and (6,-3) parallel to line y = 2x - 5

NOOOOOO -3 - 1 = -4 & 6- 4 = 2 Use the numbers. -4 / 2 = -2     -2 IS NOT = 2.

200

find the slope of the line containing points (-9,5) and (4,3), is the slope perpendicular to the line with equation y = 7x + 4 

NO, -2/13 Is not Opposite reciprocal to 7/1 

200

Given the following numbers of slope AB = 1/3, BC = -1/3, CD = -4/5, and AD = 4/5 , what shape could this be?

Kite

200

Find the mistake in the following distance problem A (4,7) and (9,-1)

SQrt (4 - 9) ^2 + (7 - - 1) ^2 

SQrt (-5) ^2 + (8) ^2

SQrt -25 + 64 

SQrt 39

NO negatives after square should be +25.

300

write an equation parallel to y = 1/3(x) + 6 and the line must go through (-2,15)

y = 1/3(x) + 47/3 or 15.67

300

Write an equation perpendicular to y = 3/2(x) + 6, that contains point (8,-3)

y = -2/3(x) + 7/3 

300

Using slope and distance what shape could this be? explain.

AB = 2, BC = 5, CD = 2, AD = 5 

slope 

AB = 1/3, BC = -1/3, CD = 1/3, AD = -1/3

Parallelogram 

2 sets //, NO O.R., and not all equal sides.

300

Find the distance of AB.  A(0,10) and B = (3,2)

SQrt 73 

400

AB is a line with slope 3/2.   C is a point at (-2,1), what is a POSSIBLE point for D, that would make CD parallel to AB 

(0,4) or (-4,-2)

400

AB is a line with slope -5/6, Point C is located at (0,4) Find the point D, where CD is perpendicular to line AB

Point D should be located at (5,10) or (-2,-5)

400

IF we know we have parallel sides but no equal distances, what we need to talk about to determine the figures shape?  What 2 options do we have?

Rectangle if there are O.R.

Parallelogram is no O.R.

400

Find the distance of AB and CD are they congruent?

A(2,4) B(-3,6)


C(1,5) D(6,3)

YES both lines are distance of SQrt 29.