Question

1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?

a. parallelogram
b. rhombus
c. quadrilateral
d. rectangle

2. What is the most precise term for quadrilateral ABCD with vertices A(3,1), B(4,5), C(7,5), and D(7,2)?

a. kite
b. square
c. rhombus
d. parallelogram

3. Find the sum of the measures of exterior angels, one at each vertex, of an octagon.

a. 180 degrees
b. 360 degrees
c. 1080 degrees
d. 1440 degrees

Answer 1

The first one is B because of the first attachment. The second one is A because of the second attachment. The third one is C because of the expression used to solve for sum of angles:
(n-2)180
(8-2)180
1080
Hope this helps!

Answer 2

1) b

2)a

3)b

Explanation:

1)Consider AC and BD. Both have common mid point as (5,4) and (5,4)

Hence diagonals bisect each other. Slope of AC=0 and slope of BD = -4/0

i.e. one is horizontal and other is vertical. Hence diagonals bisect at right angles. So rhombus.

2) ABCD has adjacent sides equal and diagonals bisect each other at right angles.

Slope of AC =1 and BD =-1 that is product =-1. Kites are perpendicular.

So kite

3) Any polygon irrespective of number of sides, the exterior angles will add upto 360 degrees.