Foundations of Geometry
Logic + Conditional Reasoning
Triangle Angle Relationships
Slopes
Rigid Motions
100
Find the midpoint between (-3, 4) and (-5, -6).
What is (-4, -1)?
100
Write the statement as a biconditional.
If a figure is a square, then it has four right angles.
What is: A figure has four right angles if and only i it is a square?
100
Find the missing angle.
What is 58°?
100
Find the slope between (-3, 4) and (-5, -6).
What is (-4, -1)?
100
How many lines of symmetry does a circle have?
What is an infinite amount of lines of symmetry?
200
Are ∠7 and ∠ABC adjacent?
What is no?
200
Determine if the Law of Detachment applies. If it does, give a conclusion. If not, state invalid.
If an Iris completes all of her homework, then she will pass the class. Iris passed the class.
What is invalid?
200
Solve for x.
What is x=-3?
200
Find the slope of the line through the pair of points: (19, -1), (19, -19).
What is undefined?
200
The point Z(4, –2) is rotated 180° about the origin. What is the image of Z?
What is Z'(-4,2)?
300
Find the distance between (11, -4) and (3, 2).
What is 10?
300
State the contrapositive of the statement.
If Valentina goes to the mall, then she will spend money.
What is: If Valentina does not spend money, then she will not go to the mall?
300
Solve for the missing angle.
What is 145°?
300
Find the slope of a line perpendicular to: 2x + y = 5
What is 1/2?
300
The line segment TU with endpoints T(2, 1) and U(–5, 6) is rotated 270° about the origin. What is the coordinate of T′?
What is T'(1,-2)?
400
How far is (-4, 6) from the origin?
What is
\sqrt52
400
Can you form a conclusion using the Law of Syllogism?
If a number is divisible by 10, then it is divisible by 5. If a number is divisible by 5, then it is odd or even.
What is If a number is divisible by 10, then it is odd or even?
400
Solve for the missing angle.
What is 31°?
400
Write the equation of the line parallel to the given line, passing through the given point.
y=-\frac{5}{3}x, (3, -4)
What is
y=-\frac{5}{3}x+1
400
What is the translation rule used to transform ΔFGH to its image?
F(4, 2), G(-1, 1), H(10, 3)
F’(4, -2), G’(-1,-3), H’(10,-1)
What is T<0,-4>(ΔFGH)?
500
If one endpoint is located at (7, -9), and the midpoint is at (8, -4). Where is the other endpoint?
What is (9, 1)?
500
Determine whether a valid conclusion can be made. If valid, state the conclusion AND the law used.
If an angle is acute, then it measures less than 90°. Angle A's measure is less than 90°.
What is no conclusion can be made?
500
Solve for x.
What is x=12?
500
Write the equation of the line parallel to the given line, passing through the given point.
y=-\frac{3}{7}x-4, (-3, -4)
What is
y=-\frac{3}{7}x-\frac{37}{7}
500
A point R with coordinates (3, –1) is translated by〈–2, 3〉and then rotated 90°. What are the coordinates of R"?
What is R''(-2,1)?