Point, Ray, Line and Angles
Logic statement
Counterexamples
Name the angle
Parallel and Perpendicular
100

Name a point that is collinear with points A and D.

B

100

Describe a pattern in the sequence 1, 0, -2, -5, -9 ... and name the next number.

Subtract 2, then 3, then 4 and so on; -14

100

If two angles are supplementary, then they are linear pairs.

two separate angles can still be supplementary but do not share a side.

100

Sketch the angles and deteremine which is larger:

angleABC

angleDEF

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

D (2, 5), E (2,-2), F (5,4)

angleABC

100

Two posts support a raised deck shown here.

If  angle1 =35, find  angle2 

145 degrees

200

Name the ray that is opposite to line GC. 

Line GB

200

State the name of the following law of deductive reasoning: 

"If Sara finishes her homework, then she can go to the basketball game.  Sara turns in her all her assignments, she went to the basketball game."

Law of Detachment

200

If x>3, then x>5. 

x can be 4.

200

Name all 4 pairs of correspoinding angles

angle1 and angle7 

 angle4 and  angle9 

 angle2 and  angle4 

 angle5 and  angle10 

200

Write an equation for a line n that is perpendicular to line k and passes through points (4,0)

line k: y= -1/3 x +  4/3 

y=3x - 12

300

Find the length of segment MN where M (7,-5) and N(-3,-1).

 2sqrt29 or 10.8

300

I will go to the beach only if it is sunny.

Please give the ~q->~p of the above statement.

If it is not sunny, then I will not go to the beach.

300

If AB + BC = AC, then B is the midpoint of segment AC.

If AB=2, BC=6, and AC=8, then the statement is not true.

300

If line BD // line CF and 

 angle3=140 , then find

angle4.

 

40 degree

300

Use the same picture, the posts are perpendicular to the ground.  If  angle3 =40, how many other angles are also 40 degrees (including the oneswithout a number)

3

400

   Find the value of x and y in the following segments.

    3x-4            y+3     4

|---------------|------|------|

|------------40--------------|

x=12

y=1

400

Write the biconditional statement in words and decide whether it is true.

Let p be "x=0" and let q be "x+x=x"

x=0 if and only if x+x=x; true because converse is also true.

400

Find a counterexample of the following:

"If a line intersects two other lines, then all three lines are coplanar."

Consider the three lines at the corner of a room.

400

Double Jeopardy!!

Given  angle6 = angle9

Proof  angle3 and angle4 are supplements

BD//CE Alt Int. Angle Converse

then use consecutive interior angle theorem.


400

Use the same diagram, explain how this can be used to show that the posts are parallel to each other.  

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.