Show:
Types of Triangles
Defining Angles
Chapter 3 Conjectures
Chapter 4 Conjecture
Chapter 5 Conjectures
100
If all sides are congruent, the triangle is ______________.
Equilateral
100
When an angle measure is the same, its a ______________.
Congruent Angle
100
This conjecture cuts the angle into 2 equal parts, this is the ________________ conjecture.
Angle bisector.
100
To prove CPCTC, you use ___________ shortcuts.
Congruence
100
What conjecture proves that diagnols of a kite are perpendicular?
Kite Diagnols Conjecture
200
If a triangle has angles less than 180 degrees and more than 90 degrees, its call a(n) _________ triangle.
Obtuse
200
When writing an angle, where does the vertex go?
the middle, example: angle ABC, B is the vertex.
200
What conjecture says that it bisects a line into 2 equal parts?
Perpendicular Bisector Conjecture.
200
The _________ states that all angles in a triangle add to ______
Triangle Sum Conjecture, and 180 degrees.
200
The non-vertex angles are congruent because of the __________
Kite Angles Conjecture
300
If a triangle shows nothing congruent, the triangle is ________.
Scalene
300
How is an angle formed?
2 rays where the meet at the vertex.
300
The __________ conjecture says the ___________ is equidistant from all the vertices.
Circumcenter conjecture says the circumcente is ......
300
The ____________ says the longest side is across from the largest angle.
Side- Angle Inequality Conjecture
300
What conjecture has the sum of the measure of the n interior anngles of an n-gon? What is the equation?
Polygon Sum Conjecture and 180(n-2)
400
An isosceles triangle has 2 _____________ and 2 _____________.
2 congruent sides and 2 congruent angles.
400
In a complementary angle, 2 angles add up to ______. In a supplementary angle, 2 angles add up to ______.
90 degrees and 180 degrees.
400
The median concurrency conjecture finds the median to each side creating a _________.
centroid
400
What conjecture says the 2 small sides of a tirangle must add to be ________ than the largest side.
Triangle Inequality Conjecture, and more
400
If all the exterior angles are 8 degrees, what is the measure of all the interior angles? How many sides?
172 degrees, 45 sides
500
How many diagnols can a triangle have? Why?
None, because there is only 3 sides and a diagnol cannot be a side.
500
This type of angle has a common vertex, but not a common side, what is it called?
Vertical angles.
500
How is an orthocenter found? What conjecture explains this?
The three altitudes of a side and altitude concurrency conjecture
500
Is there a conjecture with 2 sides and an angle which is not included?
No, there is no S-S-A!
500
Are the base angles of a trapezoid congruent? Are the non-parallel sides congruent?
No, only in isosceles, and yes!