unit 1
what is a counterexample ?
A example that disproves a conjecture
What is a conjecture ?
a conclusion reached by using inductive reasoning.
What are parallel lines?
Coplanar lines that do not intersect.
what is a midsegment ?
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
what is the sum of the measures of the exterior angles of any polygon ?
360 degrees
What is a right angle ?
An Angle that measures 90 degrees
Use inductive reasoning to find the next two items or terms in each sequence. 1. 4, 8, 16, 32, 64, β¦
128,156
What are skew lines ?
are two lines that do not intersect.
what is an Altitude of a triangle?
An altitude of a triangle is a segment that goes through a vertex and is perpendicular to the opposite side from that vertex.
opposite angles are always what ?
congruent
What's the difference of an acute and an obtuse angle ?
An Acute Angle is smaller than 90 degrees and and Obtuse Angle is larger than 90 degrees
Find the inverse of the conditional.
If an animal is a cat, then it is a mammal.
If an animal is not a cat, then it is not a mammal.
what's the difference of Alternate Interior Angles and Consecutive Interior Angles ?
Alternate Interior Angles are angles that are non-adjacent angles that lie on opposite sides of the transversal. Consecutive Interior Angles are angleβs that lie on the same side of the transversal.
What is the difference between a midsegment and a median?
A midsegment connects two midpoints, a median has one endpoint at a vertex.
true or false if a parallelogram is a rectangle the diagonals are congruent ?
True
what is a supplementary angle ?
Two angles whose measures have a sum of 180 degrees
What are the two deductive reasoning's ?
Law of detachment,Law of syllogism
what is the slope-intercept form?
π = ππ + π.
State if the three numbers can be the measures of the sides of a triangle. 9,3,6
yes,no,sometimes
no
If a parallelogram is a rhombus diagonals are perpendicular to each other and what else?
Diagonals bisect opposite angles
Name the 4 types of different Angles?
hint (supplementary is 1)
Adjacent Angles
Vertical Angles
Complementary Angles
Supplementary Angles
Answer the following questions based on this conditional.
If figure is a triangle, then it has 3 sides
1. Converse:
2. Inverse:
3. Contrapositive:
4. Identify the truth value of each statement:
Converse: If a figure has 3 sides, then it is a triangle.
2. Inverse: If figure is not a triangle, then it does not have 3 side
3. Contrapositive: If a figure does not have 3 sides, then it is not a triangle.
4. Which have a true truth value? Converse, Inverse, Contrapositive
What is the formula of slope?
slope=m=rise/run=y2-y1/x2=x1
what's the difference of a circumcenter and a incenter ?
The circumcenter is the point in the middle of a triangle, equidistant from all its corners
he incenter is the point in the middle of the triangle, equidistant from all its sides
which one are consecutive angles supplementary to?
parallelogram rectangle square rhombus or all above
all above