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Foundations
Definitions
Lines and Angles
Triangle Congruence
Triangle Properties
100
The conclusion you can draw from the following two statements. -If you have a job, then you have an income. -If you have an income, then you must pay taxes.
What is If you have a job, then you must pay taxes.
100

A(n) ________ of a triangle is a segment from a vertex to the midpoint of the opposite side.

What is median

100
Given two parallel lines and a transversal, one alternate interior angle is 80, what is the other angle?
What is 80, alternate interior angles are congruent!
100
The two congruent sides of an isosceles triangle.
What are the legs.
100
Connects the midpoints of two sides of a triangle.
What is a midsegment.
200

Determine the conclusion using the Law of Syllogism in words.

  If Evan does his homework, then Nate will celebrate.

  If Nate celebrates, the Rowan will throw a party.

  If Rowan throws a party, then Andrew will crash the party.

If Evan does his homework, then Andrew will crash the party.

200

The lines containing the altitudes of a triangle are concurrent. This point of concurrency is the ___________ of the triangle.

What is orthocenter?

200
Given two parallel lines and a transversal, one of the same side exterior angles is 3x + 50, the other is x + 20. Find the value of x.
What is x = 27.5
200
Given: RSTUV is congruent to KLMNO Complete: LM is congruent to
What is ST.
200
The length of a perpendicular segment from the point to the line.
What is a distance from a point to a line.
300
If a student is on the basketball team then the student has passing grades. De'Anthony is on the basketball team.
What is De'Anthony has passing grades.
300

The lines containing the medians of a triangle are concurrent. The point of concurrency, called the ________, is inside the triangle.

Centroid

300
3 angles of a triangle are x, 2x and 3x. Find the measure of the largest angle.
What is 90. (x = 30)
300
The vertex angle of an isosceles triangle is 40, what is the measure of one of the base angles.
What is 70.
300
The point of concurrency of the angle bisectors.
What is the incenter.
400
If you miss the bus, then you are late to school. Xtina is late to school.
What is not possible.
400

The centroid of a triangle is two-thirds of the distance from each vertex to the ___________ of the opposite side

What is midpoint?

400

Determine whether the lines are parallel, perpendicular, or neither.

x-2y=10

4x+2y=40

 

Perpendicular. 

m = 1/2

m = -2

400
Given triangles ABC and DEF with AB congruent to DE and AC congruent to DF, what angle must be congruent to prove the two triangles congruent through SAS.
What is angle A is congruent to angle D.
400

Find the coordinates of the circumcenter of the triangle with the vertices A (4,12), B (14,6) and C (-6,2)


What is (9/2, 3/2)

500
If p then q and if q then r.
What is if p then r.
500

A(n) _________ of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side.

What is an altitude?

500

Two parallel lines are cut by a transversal. As a result, angle A and D are same side interior angles. Given that angle A = 5x+26 and angle D = 3x+50, what is the measure of angle D?

What is 89 degrees?

(x=13)

500
Explain why you cannot use AAA to prove two triangles congruent.
What is The corresponding sides of the two triangles may not be congruent. All angles have 3 angles that have a sum of 180, this does not say anything about the sides!
500
The midsegment of a triangle is 6x, the third side (base) is 10x + 24, find the length of the midsegment and the third side.
What is 72 and 144.