Classifying Quadrilaterals by Coordinates

Match

Identify the angles

• $$∠2\ \&\ ∠8$$

• $$∠4\ \&\ ∠6$$

• $$∠3\ \&\ ∠8$$

• $$∠1\ \&\ ∠5$$

• $$∠5\ \&\ ∠7$$

Alt Int

Alt Ext

same side interior

corresponding

vertical

• Alt Int

• Alt Ext

• same side interior

• corresponding

• vertical

Multiple Choice

WHAT IS THE VALUE OF X? 

• -7
• 9.4
• 7
• -9.4

Multiple Choice

Give the most specific name for this quadrilateral.

• Rhombus

• Parallelogram

• Kite

• Square

Multiple Choice

What is the value of x?

• 132
• 66
• 114
• 48

Multiple Choice

Solve for X

• 22
• 16
• 40
• 35

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 1
• 10
• 4
• 5

Constructing a Copy of a Line Segment

​Points that lie in the same plane are coplanar. Lines that lie in the same plane but do not intersect are parallel. Points that lie on the same line are collinear. The Segment Addition Postulate is a statement about collinear points. A postulate is a statement that is accepted as true without proof. Like undefined terms, postulates are building blocks of geometry.

Noncolinear Points

Points not on the same line

Points on the same line

Colinear Points

Multiple Select

Name 3 points that are Collinear

• D

• G

• H

• F

Multiple Select

Are Points A, B and C

Collinear, Coplanar, or neither?

• Collinear

• Coplanar

• Neither

Multiple Choice

Name a point that is coplanar with points A, B, C?

• O

• D

• H

• P

Coplanar Points

Points that lie on the same plane

Multiple Choice

$$Find\ \overline{AC}$$

• 8.5
• 9.5
• 25.5
• 10

Multiple Choice

If RT = 36, find the value of x.

• 3

• 4

• 5

• 6

Multiple Choice

y = 6x + 2

y = -6x + 2

These lines are...

• Parallel

• Perpendicular

• Neither

Multiple Choice

Identify the lines $$y=\frac{3}{2}x+9\ and\ y=-\frac{2}{3}x+5$$

• Parallel

• Perpendicular

• Neither

Multiple Choice

Find the distance between the points AB.

A(-5, -8) and B(-1, -16).

Use the distance formula.

• 8.9
• 9.8
• 10.3
• 11

​E

Multiple Choice

Question 1: Given the coordinates A(-1, -2), B(3, -5), C(3, 0), and D(-1, 3),

classify the quadrilateral formed by these vertices.

• The quadrilateral formed by the given coordinates is a kite.

• The quadrilateral formed by the given coordinates is a rectangle.

• The quadrilateral formed by the given coordinates is a rhombus.

• The quadrilateral formed by the given coordinates is a trapezoid.

Multiple Choice

Question 4: Determine the type of quadrilateral formed by the points:

A(0, 0), B(4, 0), C(6, 4), and D(2, 4).

Hint: graph the coordinates.

• The quadrilateral formed is a square

• The quadrilateral formed is a trapezoid

• The quadrilateral formed is a rhombus

• The quadrilateral formed by the given points is a parallelogram.