Shared Flashcard Set

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Geometry Chapter 1
Vocabulary and formulas for Chapter 1, based on Mr. Janssen's notes.
29
Mathematics
9th Grade
08/26/2009

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Cards

Term

Give the definition of:

geometry

Definition

geometry is the study of six broad categories:

1. points

2. lines

3. angles

4. curves

5. surfaces

6. solids

Term

Reasoning in geometry consists of three stages; name all three.

Hints: 1. music-art, 2. observation, 3. test

Definition

1. Look for a pattern.

2. Make a conjecture

3. Verify the conjecture

Term
Define conjecture.
Definition
an unproven statement based on observations
Term
Define inductive reasoning.
Definition
a process of looking for patterns and making conjectures
Term
To prove a conjecture as false, you must provide a _____________.a
Definition
counterexample
Term
Define counterexample.
Definition
something that proves a conjecture to be false
Term
To find the sum of first positive odd integers, you must...
Definition

square the number of integers.

Example:

first two odd integers: 1+3=4, or 22

first three odd integers: 1+3+5= 9, or 32

Term
Uh... define defintion.
Definition
use known words to define an unknown word
Term
Define point.
Definition
represented by a small dot, cannot be measured
Term
Define line.
Definition
straight, extends forever in two directions
Term
Define plane.
Definition
flat surface, has no thickness- 2D only- extends forever in 4 directions
Term
Define collinear.
Definition
two or more points on the same line
Term
Define coplanar.
Definition
two or more points in the same plane (three points will always be on the same plane)
Term
Rules accepted without proof are called _________ or _______.
Definition

postulates

axioms

Term
Rules that are proved are called _________.
Definition
theorems
Term
Distance formula.
Definition
AB=√(x2-x1)2+(y2-y1)2
Term
When do you use the distance formula?
Definition
When you have the coordinates of points on a graph.
Term
The symbol for congruence is...
Definition
= with a ˜ on top
Term
What is the Pythagorean Theorem?
Definition
a2+b2=c2
Term
Angles that have the same measure are called _________ angles.
Definition
congruent
Term
Types of angles:
Definition

acute

right

obtuse

straight

Term
Define bisect.
Definition
to split/divide something into two sections/equal parts.
Term
Define segment bisector.
Definition
segment, ray, line, or plane that intersects the segment at its midpoint
Term
What is the midpoint formula?
Definition

m (x,y)= (x2+x1, y2+y1)

 


               (2, 2)

 

Term
Two angles are _______ angles if their sides form two pairs of opposite rays.
Definition
vertical
Term
Two adjacent angles are a linear pair if their ____________ sides are opposite rays.
Definition
noncommon
Term
The sum of the measures of angles that form a linear pair is ___°
Definition
180
Term
Two angles are __________ angles if the sum of their measures is 90°
Definition
complementary
Term
Two angles are ____________ angles if the sum of their measures is 180°
Definition
supplementary
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