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Coordinate Geometry Proofs

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.
What formula do you use to decide if there is a right angle based on coordinates? 
a)
distance
b)
midpoint
c)
slope
d)
partitioning a segment
2.
Find AB given A(1,4) and B(3,9).
a)
√185
b)
√173
c)
√29
d)
√41
3.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
4.

How do you show that sides have the same length?

a)

slope formula

b)

midpoint

c)

distance formula

5.

how are lines parallel?

a)

same slope

b)

opposite reciprocal slope

c)

Pythagorean theorem

d)

distance formula

6.

how are lines perpendicular?

a)

same slope

b)

opposite reciprocal slope

c)

Pythagorean theorem

d)

distance formula

7.

1

a)

Find the lengths of the diagonals.

b)

Find the slope of each diagonal.

c)

Find the midpoint of each diagonal.

d)

Find the midpoint of each side.

8.
a)

Find the slope of all 4 sides.

b)

Find the midpoint of all 4 sides.

c)

Find the length of all 4 sides.

d)

Find the length of 2 sides.

9.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
10.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
11.
Which of the following is NOT true for a rectangle?
a)
all four angles are right angles
b)
diagonals are perpendicular
c)
diagonals are congruent
d)
diagonals bisect each other
12.
How do you prove a quadrilateral is a Rhombus?
a)
All sides are congruent
b)
Diagonals are congruent
c)
All sides are congruent and diagonals are congruent
d)
All sides are parallel
13.
a)

Find the slope of two consecutive sides.

b)

Find the slope of all 4 sides.

c)

Find the slope of the diagonals.

d)

Find the length of two consecutive sides.

14.
a)

mAB ∙ mBC = -1

b)

AB = CD

c)

AB = BC

d)

mAB = mBC

15.
a)

AB = CD

b)

AB = CD and BC = AD

c)

mCD ∙ mBC = -1

d)

mAB = mCD