unit 3
What is a Parallel Line?
Coplanar lines that do not intersect
A square is a parallelogram with how many right angles?
Four right angles
A midsegment connects the midpoints to how many sides of a triangle?
2 sides of a triangle
What does Inductive reasoning allow?
It allows us to reach a conclusion based on the pattern of the given information.
What is a Proportion?
It is an equation that states that two ratios are equivalent
What are Skew lines?
Two lines that do not intersect and They are not on the same plane.
A rhombus is a parallelogram with how many congruent sides?
Four congruent sides
If a point is equidistant from the endpoints of a segment, then it is on the?
Perpendicular bisector
What is a Conjecture?
a conclusion reached by using inductive reasoning. A conjecture is not certain, it only can be likely true
How is the scale factor of similar polygons is found?
It is found using the ratios of their corresponding sides
If a theorem states that if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel then it is?
Converse of the Alternate Interior Angles Theorem
Polygons that are both equilateral and equiangular are called?
regular polygons
what is a perpendicular bisector?
it is the of the sides of a triangle are concurrent at a point equidistant from the vertices
What is an example that indicates that a statement is not true?
Counterexample
What is Angle-Angle Similarity?
AA~ is if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
How can you tell if a line is parallel?
They do not intersect
The sum of exterior angles of polygons is found with?
Polygon Exterior Angle-Sum Theorem
The bisectors of the angles of a triangle are what at a point equidistant from the sides of the triangle?
Concurrent
If figure is a triangle, then it has 3 sides
How would this be stated in inverse?
If figure is not a triangle, then it does not have 3 sides
What is the Corollary 1 to Theorem?
The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse
A Consecutive Interior Angle is a angle that.
Interior angle’s that lie on the same side of the transversal
If one diagonal of a parallelogram bisects a pair of opposite angles then?
Then the parallelogram is a rhombus
What is the name of a triangle is a segment that goes through a vertex and is perpendicular to the opposite side from that vertex?
Altitude
Is this a law of Detachment or law of Syllogism?
p ⇒ q is true p is true Then, q is true
Law of Detachment
Triangle Angle Bisector Theorem is?
If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle