Geometric Concepts

Vocabulary/Formulas

100

What do you call a triangle with all equal sides?

Equilateral triangle 

200

How do you find the perimeter of any shape?

Add all of the sides.

300

How do you find the area of a rectangle?

length times width 

400

What is the formula to find the area of a triangle?

1/2bh or bh/2

500

What formula do you use to find the side length if it is a diagonal line?

The distance formula

Perimeter/Area

100

^{What is the perimeter of a rectangle with a} 

^{width= x and  length= x+3.}

4x+6

200

What is the perimeter to isosceles triangle with the following dimensions

base=15cm

height=6cm

sides=8cm

31cm

300

Find the area  of a rectangle with a length of sqrt(80) and a width of 4 sqrt(2)

16 sqrt(10)

400

Find the area of the triangle with a base of 3x+4 and a height of 2x

3x²+4x

500

What is the perimeter AND area of the shape  with the vertices of A(−7,6), B(−3,6), C(−3,−8), D(−7,−8)

*hint graph on coordinate plane

Perimeter: 36

Area:56 

Distance

100

What is the distance between the points (3, 4) and (7, 2)?

2 root 5

200

Calculate the distance between  (-5, 2) and (1, -3).

root 61

300

What is the distance of (-7,3) and (10,3)?

17

400

4. Mr. Franklin needs to draw a perfect circle. The endpoints of one of the diameters needs to fall on    (7, 1) and (−1, −1). What is the measure of the diameter?

2 sqrt(17)

500

Ms. Peters lives at (-7,6) and she need to go to the store which is located at (-2,-6). How far does she need to travel to reach the store? 

*Express answer in ft

13 ft

Midpoint

100

Find the midpoint of the line segment with endpoints (2, -1) and (-4, 5).

(-1,2)

200

Determine the midpoint of the line segment with endpoints (-2, 3) and (5, -2).

(3/2, 1/2)

300

Find the midpoint of the line segment with endpoints (-5, 2) and (3, -4).

(-1,-1)

400

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.

midpoint (23,11), endpoint (16,4)

(30,18)

500

Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)

(-6,14)

Parallel/Perpendicular

100

Parallel lines on a graph will cross once.  TRUE OR FALSE

False

200

What slope is parallel to:  
m = 3/4

3/4

300

What is the slope of a line perpendicular to a line with slope -6/5 ?

5/6

400

Write the equation of a line PERPENDICULAR to  y= -2x + 1 and passes through the point (2, 3).

a)y=−1/2x+12

b)y=1/2x+2

c)y=−2x+7

d)y=−2x+8

y=1/2x+2

500

What is the equation of the line that passes through (-9, 6) and is parallel to the line

y=3x−5?

y=3x+7

y=−3x+7

y=3x+33

y=−1/3x+33

y=3x+33