Logic
Parallel Lines
Triangle Stuff 1
Triangle Stuff 2
Geo Jumble
100
If the original conditional is a true statement, this form of the statement is also always true.
What is the contrapositive of the statement.
100
This is the name of a line that crosses two or more parallel lines.
What is a transversal?
100
This is the value of angle S if the angles in triangle SAD have the following measures (in SAD order): 2x, x-23, x-17
What is 110 degrees
100
These are all the ways to prove triangles are congruent.
What is SSS, SAS, ASA, AAS, and HL
100
This is the midpoint between coordinates (7, -3) and (-11, -5)
What is (-2, -4)
200
This is the conclusion and type of logic used here: If there is a weather forecast of snow, then there will be no school. WTOP forecasts there is a slight chance of snow.
What is there will be no school; law of detachment
200
These are the names of all the types of angles that are congruent when a transversal crosses two parallel lines.
What are corresponding, alternate interior, and alternate exterior angles? (okay, I guess you can say vertical angles, too, but those aren't dependent on lines being parallel)
200
This the answer to whether 3 segments with lengths 8, 17, and 9 can form a triangle.
What is no (why not??)
200
This is the answer to the following situation: Triangle ABC is congruent to triangle DEF. You proved this by showing segment AB congruent to segment DE, angle B congruent to angle E, and segment BC congruent to EF. You now conclude that angle A is congruent to angle D. This the theorem you used to prove the triangles congruent, and the reason you are able to show angles A and D congruent.
What is SAS and CPCTC (think of the weird dude!)
200
This is the distance (in simplest radical form) between the coordinates (5, -3) and (-1, 6)
What is 3sqrt(13)
300
Given: p: Serena is playful q: Salem is sneaky r: Serena and Salem fight This is the interpretation of p^~q -> r
What is if Serena is playful and Salem is not sneaky then Serena and Salem fight
300
This is the value of x if you have a transversal crossing two parallel lines, and a set of alternate interior angles have the values 2x + 10 and 86 + x.
What is x=76
300
This is the range of values for the third side of a triangle if two of the sides measure 15 and 20.
What is x is between but does not include 5 and 35
300
These are the ways you can show triangles are similar, and how this is different from the triangle congruence theorems.
What is AA, SSS, and SAS; corresponding angles are congruent just like in triangle congruence, but the sides are in proportion (not congruent)
300
This is the coordinates of the endpoint of a segment if one endpoint is (6, 4) and the midpoint is (-4, 8).
What is (-14, 12)
400
This is the logical conclusion of the statement below and the logic law used: If it snows, then we have no school. If we have no school, then we will not be smart.
What is if it snows then we will not be smart (law of syllogism)
400
This is the answer to this problem: A transversal crosses two parallel lines. The consecutive interior angles measure 3x-10 and 5x+30. Find the value of x and the measure of the supplement of the first angle (the one that measure 3x-10)
What is x=20 and 130 degrees
400
This is the length of a midsegment if its length is given by 2x-27 and its parallel side has measure x+15.
What is 19 (x is 23)
400
This is the measure of the hypotenuse in a 30-60-90 triangle if the side opposite the 60 degree angle is 12 units.
What is 8sqrt(3)
400
This is what you are constructing with a compass and straight edge if you perform the following steps: Draw an arc on a given angle from the vertex to the rays. Open the compass and place it on the intersection of the arc you just drew and the ray and draw an arc. Without changing the opening, place the compass point on the intersection of the original arc and the other ray until the two arcs meet. Then draw a line from the vertex to the intersecting arcs you drew.
What is bisect an angle
500
The answer (true or false, and why) to whether the following statement shows a logical conclusion: If it rains then the flowers grow. The flowers grew. Therefore it must have rained.
What is false, because the flowers might have grown for another reason (invalid use of the law of detachment)
500
This is the equation of the line perpendicular to the line 2x-3y=9 and goes through point (4, -1)
What is y=(-3/2)x+5
500
This is the value of x if an exterior angle of a triangle measures 8x+15 and the non-adjacent interior angles measure 3x+20 and 4x+5.
What is x=10
500
This is the value of angle A (to the nearest degree) if triangle ABC is a right triangle with the right angle at angle B, and AC=25 and BC=15.
What is 37 degrees
500
This is the theorem that you use when you construct parallel lines.
What is corresponding angles of parallel lines are congruent.
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