Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
30 Cards in this Set
- Front
- Back
What is the MIDPOINT THEOREM?
|
This theorem states:
If M is the midpoint of line segment AB, then AM=1/2AB; MB=1/2AB. |
|
What is the ANGLE BISECTOR THEOREM?
|
This theorem states:
If ray BX is the bisector of angle ABC, then MEASURE OF ANGLE ABX = HALF OF THE MEASURE OF ANGLE ABC & THE MEASURE OF ANGLE XBC = HALF OF THE MEASURE OF ANGLE ABC. |
|
What is DEDUCTIVE REASONING?
|
Proving statements by reasoning from accepted postulates, theorems, and given information.
|
|
What is the DISTRIBUTIVE PROPERTY OF EQUALITY?
|
The distributive property of equality states:
a(b+c)=ab+ac. |
|
What is the ANGLE BISECTOR THEOREM?
|
The angle bisector theorem states:
If ray BX is the bisector of angle ABC, then the measure of angle ABX = half of the measure of angle ABC, and the measure of angle XBC = half of the measure of angle ABC. |
|
What are COMPLEMENTARY ANGLES?
|
Complementary angles are two angles whose measures have the sum of 90.
|
|
What are SUPPLEMENTARY ANGLES?
|
Supplementary angles are two angles whose measures have the sum of 180.
|
|
What are VERTICAL ANGLES?
|
Vertical Angles are two anglessuch that the sides of one angle are opposite rays to the sides of the other angle.
|
|
What is an IF-THEN STATEMENT?
|
An if-then statement is a statement whose basic form is "if p then q." Statement p is the hypothesis and statement q is the conclusion.
|
|
What is the CONVERSE OF A CONDITIONAL?
|
The converse of the statement "If p, then q" is the statement "If q, then p"
|
|
What is a COUNTEREXAMPLE?
|
A counterexample is an example used to prove that an if-then statement is false. For that counterexample, the hypothesis is true and the conclusion is false.
|
|
What is a BICONDITIONAL?
|
A biconditional is a statement that contains the words "if and only if."
|
|
What is the ADDITION PROPERTY OF EQUALITY?
|
The addition property of equality states:
If a=b and c=d,then a+c=b+d |
|
What is the SUBTRACTION PROPERTY OF EQUALITY?
|
The subtraction property of equality states:
If a=b and c=d, then a-c=b-d |
|
What is the MULTIPLICATION PROPERTY OF EQUALITY?
|
The multiplication property of equality states:
If a=b, then ca=cb. |
|
What is the DIVISION PROPERTY OF EQUALITY?
|
The division property of equality states:
If a=b and c can't = 0, then a/c=b/c |
|
What is the SUBSTITUTION PROPERTY OF EQUALITY?
|
The substitution property of equality states:
If a=b, then either a or b can be substituted for the other in any equation (or inequality). |
|
What is the REFLEXIVE PROPERTY OF EQUALITY?
|
The reflexive property of equality states:
a=a. |
|
What is the SYMMETRIC PROPERTY OF EQUALITY?
|
The symmetric property of equality states:
If a=b, then b=a. |
|
What is the TRANSITIVE PROPERTY OF EQUALITY?
|
The transitive property of equality states:
If a=b and b=c, then a=c. |
|
What is the REFLEXIVE PROPERTY OF CONGRUENCE?
|
The reflexive property of congruence states:
segment DE is congruent to segment DE OR angle D is congruent to angle D. |
|
What is the SYMMETRIC PROPERTY OF CONGRUENCE?
|
The symmetric property of congruence states:
If segment DE is congruent to segment FG, then segment FG is congruent to segment DE. OR If angle D is congruent to angle E, then angle E is congruent to angle D. |
|
What is the TRANSITIVE PROPERTY OF EQUALITY?
|
The transitive property of equality states:
If segment DE is congruent to segment FG and segment FG is congruent to segment JK, then segment DE is congruent to JK. OR If angle D is congruent to angle E and angle E is congruent to angle F, then angle D is congruent to angle F |
|
PERPENDICULAR LINES
|
Two lines that intersect to form right angles.
|
|
Complete the theorem about Perpendicular lines: If two lines are perpendicular...
|
then they form congruent adjacent angles.
|
|
Complete the theorem about perpendicular lines: If twolines form congruent, adjacent angles...
|
then the lines are perpendicular.
|
|
Complete the theorem about perpendicular lines: If the exterior sides of two adjacent acute angles are perpendicular,
|
then the angles are perpendicular.
|
|
What five parts are in a proof of a theorem?
|
1) Statement of the theorem.
2) A diagram that illustrates the given information. 3) A list in terms of the figure, of what is given. 4) A list in terms of the figure, of what you are to prove. 5) A series of statements and reasons that lead from the given information to the statement that is proved. |
|
CONGRUENT SUPPLEMENTS THEOREM
|
If two angles are supplements of congurent angles (or the same angle), then the two angles are congruent.
|
|
CONGRUENT COMPLEMENTS THEOREM
|
If two angles are complements of congruent angles (or the same angle), then the two angles are congruent.
|