Vocabulary
A(n) _______ _________ divides an angle into two congruent angles.
What is an angle bisector?
If two lines are parallel, then the alternate interior and the alternate exterior angles are _________.
What is congruent?
Name 5 Postulates or theorems used to prove two triangles are congruent.
What are ASA, SAS, SSS, AAS, and HL?
If two triangles are similar then their corresponding angles are _______ and their corresponding side lengths are _________.
What is congruent and proportional?
The Triangle Midsegment Theorem states that if a segment joins the midpoints of two sides of a triangle then the segment is _______ to the third side and is _____ its length.
What is parallel and half?
The point of concurrency of the angle bisectors of a triangle is called the ________________.
What is the incenter?
_______ _______ are two angles whose measures have a sum of 90 degrees.
What are complementary angles?
If two lines are parallel and are cut by a transversal, then all of the consecutive angles are ______.
What is supplementary?
In order to use the HL theorem, what parts of the two congruent right triangles have to be congruent?
What are the Hypotenuse and Leg?
What are the 3 postulates or theorems that are used to prove two triangles are similar?
AA, SSS, & SAS
Which theorem states that if two angles of one triangle are congruent to two angles in another triangle, then the third angles are congruent.
What is the Third Angle Theorem?
The point of concurrency of the medians of a triangle is called the ____________.
What is the centroid?
The length of the longest side of a right triangle is called the _______.
What is the Hypotenuse ?
The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding angles are _______.
What is Congruent?
This property is used to prove that a shared side of two triangles is congruent to itself.
What is the Reflexive Property?
This compares two numbers by division.
What is a Ratio?
If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel. What is the name of this theorem?
What is the Converse of the Alternate Interior Angles Theorem?
The name of a triangle with angle measures of 45 degrees, 30 degrees and 105 degrees. (The name of the triangle should include an angle descriptor and a side descriptor)
What is an obtuse scalene triangle?
Two angles that are across from each other (nonadjacent angles) formed by two intersecting lines are called ________ ________.
What are Vertical Angles?
_________ _______ are lines that do not intersect and are not coplanar.
What are Skew Lines?
What does the Triangle Sum Theorem state?
The sum of the interior angles of a triangle is 180 degrees.
This is a statement that shows two ratios are equal.
What is a Proportion?
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Which theorem is this?
What is the Perpendicular Bisector Theorem?
According to the Triangle Inequality Theorem, the sum of the _______ of any two sides of a triangle is _______ than the third side.
What are lengths and greater?
Two adjacent angles that are on a line are called a ______ ______. (adjacent angles and supplementary angles are not the response I am looking for)
What is a Linear Pair?
Same Side interior angles and same-side exterior angles add up to _______, which means they are ______________ angles.
What is 180 degrees and supplementary?
If two sides in one triangle are congruent, then the base angles opposite those sides are congruent. Which theorem is this?
Isosceles Triangle Theorem.
What is the name of the process we use to find the height of a tall building, flagpole, etc. or any other object that is difficult to physically measure.
What is an indirect measurement?
If a line bisects the vertex angle of an isosceles triangle then it is also the ___________ _________ of the base.
What is perpendicular bisector?
The orthocenter of a triangle with vertices (4,0),(0, -6) and (0,0).
What is (0,0)?