Geometry TST
Once you see a pattern what can you make?
A conjecture or general rule about the pattern
what is the meaning of planes?
A flat surface that extends forever in all directions
what is the meaning of syllogism?
A form of deductive reasoning that combines two or more related conditional statements in order to arrive at a conclusion
WHat is the meaning of transversal?
A line, ray, segment that intersects two or more coplanar lines, rays, or segments at different points
what is the meaning of perpendicular bisectors?
A line,ray, or line segment that bisects a line segment at a right angle.
What is the meaning of vertical angles?
A pair of opposite angles form by intersecting lines
What is the meaning of a segment addition postulate?
A postulate stating that if AC+BC=AB
What is the meaning of segment addition postulate?
A postulate stating that if AC+BC=AB, then point c is between points A and B
What is the meaning of corollary?
A statement that is understandable
What is the meaning of corollary?
A statement that makes sense based on a statement that has already been proven
What is the meaning of indirect proofs?
A type of proof that is written in paragraph form, where the contradiction of the statement to be proved is there for true.
What is the meaning of induction?
A way of thinking
What is the difference between alternate and consecutive interior angles?
Alternate interior angles are on opposite sides of the transversal and consecutive interior angles are on the same side of the transversal and are inside the parallel lines.
How do you solve the mirror problem?
Because x+y=90 degrees you need to multiply by 2 with every factor including the 90 degrees. Then you would do 2x+2y+A+B=360 degrees then you would add the 180 degrees with both the A and B that equals 360 degrees then you would add A and B that equals 180 degrees
How can you use induction?
By dividing what you see in groups of objects that share a property or characteristic
what is it called when two or more points lie on the same line?
Collinear
What two things require proof?
Collories and Theorems
What is the foundation of deduction?
Conditional statements
What is the difference between converse and inverse?
Converse: "If a figure is a quadrilateral, then it is a square. Inverse: "If a figure is not a square then it is not a quadrilateral
What is it called when two objects are contained on the same plane
Coplanar
What is the job of angle bisectors and midpoints?
Divide angles and segments into two equal parts
What is the meaning of midpoint?
Halfway between the endpoints of a line segment
What is the meaning of two dimensional?
Having length and width
What is the meaning of contrapositive statements?
If not B, Then Not A
What does converse mean?
If the original statement is true, then the converse is false
What are line segments made of?
Infinite number of points
How can describe the length of a line?
Labeling either miles,kilometers,inches, and millimeters.
What is two points connected called?
Line Segment
what is the meaning of perpendicular lines?
Lines that meet to form a right angle
What can you make if you are given a chain of conditional statements and each statement is true?
Make connections between various statements in the chain
How do you maintain the statement being true?
Make sure that the order of the new phrases remains the same as the order in the original chain.
Can lines and rays be measured?
No
Do midpoints divide the segments into segments of different lengths?
No
What is the meaning of zero-dimensional?
No height, length, and width
What are the different types of angles?
Obtuse, Zero,RIght,Straight, and acute angle
How many endpoints does a ray have and how far does the ray go
One ray has one endpoint and goes on forever.
What can you use to support Indirect proofs and two-column proof?
Postulates, definitions, and common notions
What are two things that can be used to build an angle?
Rays and segments
What is the meaning of an endpoint?
Shapes or 2d shapes on a graph
What is another name for three dimensional objects?
Solids
What does deduction help with?
Solving any kind of puzzles
What is the meaning of the law of reflection?
The angle of incidence is congruent to the angle of reflection
What is it called when you combine A and B in the same equation?
The mirror problem
what is the meaning of symmetry?
The property having an axis, or line that divides a given shape into two identical parts.
What has been accepted in the world of math and has been proven?
Theorem
What is the purpose of finding the relationship between X and Y?
To prove that A+B=180 degrees
What is the meaning of alternate interior angles?
Two angles formed by a line that intersects two parallel lines.
What is the meaning of a line segment?
Two points connected
What is an angle formed by?
Two rays or segment that share an endpoint
What is another name for an endpoint?
Vertex
What does the theory of vertical angles?
Vertical angles are congruent
Explain the mirror problem
Where a ray of light is reflected by two perpendicular mirrors.
What job does conditional statements do?
Work as if A is true then B is true
Is it the same distance from the shape and the distance from the mirror?
Yes
Is the length of the segment AB equal to the shortest distance from A to B?
Yes
What will you demonstrate using deductive and inductive reasoning?
You will demonstrate that something is true usi
What is the meaning of deduction?
a way of thinking that begins with a set of rules and conditions and figures out what must be true based on what is given
What is the meaning of corresponding angles?
two nonadjacent angles formed on the same side of the line that intersects two parallel lines, with one angle interior and one angle exterior to the lines.