Foundations of Geometric Concepts
Logic and Reasoning
Segments and Midpoints
Angle Relationships
Parallel Lines, Perpendicular Lines, and Transversals
Geometric Transformations
100
Give all possible names for the following angle
<FAE
<EAF
<A
<2
100
Write the following as a conditional statement (if-then)
"when the sky gets cloudy, it will rain later."
"If the sky gets cloudy, then it will rain later"
100
Find the length of BC
14 units
100
If <ABC is supplementary to <CBD and m<ABC is 133°, then what is m<CBD
47°
100
What is the slope of a line that is parallel to
y=4/5x+1
4/5
100
Does the Taj Mahal have reflectional symmetry?
Yes
200
Draw two non-adjacent angles that are supplementary (write down possible measurements for each angle)
200
Is the following statement an example of inductive or deductive reasoning? How do you know?
"All triangle's interior angles sum to 180°. Figure ABC is a triangle. Therefore, ABC has interior angles whose sum is 180°"
Deductive reasoning because it is using definitions of triangles to create a statement about figure ABC
200
Find the midpoint of L (-3,2) and M(4,-6)
(0.5,-2)
200
Find m<ABC if <ABC is bisected by BD
m<ABC = 156°
200
State the angle pair relationship between <J and <R. Then determine both of their measurements.
Alternate exterior angles.
m<J = 43°
m<R = 43°
200
What type of transformation has happened here (be specific)
Reflection along the y-axis
300
Give all possible names for every line segment
bar(AB)
bar(BC)
bar(AC)
bar(BA)
bar(CB)
bar(CA)
300
What is the converse of the following conditional statement
"If my team scored the highest amount of points in Jeopardy, then my team won the game."
"If my team won the game, then my team scored the highest amount of points in Jeopardy"
300
Find the measure of DE
11 units
300
m<GFN = 4x+10
m<NFE = 14x+3
m<GFE = 157°
Find m<NFE
115°
300
State the angle pair of the two labeled angles. Then find m<EFH
Consecutive interior angles
m<EFH = 67°
300
Does this orange have rotational symmetry? If so, what's the angle of rotation?
Yes, 45°
400
Draw the following figures
400
Is the following statement biconditional?
"If today is Saturday, then today is a weekend"
No, because the converse of this statement is "If today is a weekday, then today is Saturday" which has a counterexample (Sunday)
400
Find the distance between the points C(-1,4) and D(3,-2). Leave your answer in radical form
sqrt52
or
2sqrt13
400
If m<SOP = 156°, solve for x
x = 26
400
Find m<KRS
54°
400
The pre-image point B is at (-4,5). What is the image after a rotation of 90° about the origin?
B' (-5,-4)
500
Give all possible names for the angle
<ABC
<ABD
<DBA
<CBA
<B
500
Write the contrapositive of the following statement and determine if it's true or false
"If a shape is a triangle, then it has three sides."
"If a shape does not have 3 sides, then it is not a triangle"
True (also contrapositive and original statement are logically equivalent)
500
M is the midpoint of J and K
M (1,-1)
J(-3,4)
Find K
K (5, -6)
500
Solve for y
y=2
500
Write the equation for a line that passes through (-4,3) and is perpendicular to
y=2/3x+7
y=-3/2x-3
500
The pre-image point J (-7,1) is transformed with
T<3,-4> ° rx-axis
Where is the final image?
J' (-7,-1)
J" (-4,-5)