If-then statments, properties, special angles, perpendicular lines, + proofs
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
|---|---|---|---|---|---|
| A statement that is usually written in the "if-then" form. It is usually true. | Conditional statement
🗑
|
||||
| Another name for a conditional statement. | Conditional
🗑
|
||||
| The two parts of a conditional. | Hypothesis and Conclusion
🗑
|
||||
| The letter often used to symbolize the hypothesis. | p
🗑
|
||||
| The letter often used to symbolize the conclusion. | q
🗑
|
||||
| The most common form of a conditional. | If p, then q.
🗑
|
||||
| Three other forms of a conditional. | p implies q; p only if q; q if p. If, then, implies, and only if are not part of the hypothesis or the conclusion.
🗑
|
||||
| A statement formed by interchanging the hypothesis and conclusion of a conditional. It is not always true. | Converse
🗑
|
||||
| An example that proves a statement is false. | Counterexample
🗑
|
||||
| A statement combining a conditional and its converse. It is written using if and only if. Both the conditional and its converse must be true. | Biconditional
🗑
|
||||
| If x-7=10, then x=17. | Addition property of equality
🗑
|
||||
| If x+7=17, then x=10. | Subtraction property of equality
🗑
|
||||
| If x/2=9, then x=18. | Multiplication property of equality
🗑
|
||||
| If 2x=18, then x=9. | Division property of equality
🗑
|
||||
| If x+5=11 and x=6, then 6+5=11. | Substitution property
🗑
|
||||
| DE=DE. | Reflexive property
🗑
|
||||
| If DE=AB, then AB=DE. | Symmetric property
🗑
|
||||
| If DE=AB, and AB=CF, then DE=CF. This is a specific type of substitution. | Transitive property
🗑
|
||||
| If M is the midpoint of segment AB, then AM=1/2AB and MB=1/2AB. | Midpoint Theorem
🗑
|
||||
| If ray BX is the bisector of angle ABC, then the measure of angle ABX=1/2 the measure of angle ABC, and the measure of angle XBC=1/2 the measure of angle ABC. | Angle Bisector Theorem
🗑
|
||||
| Two angles whose measure have the sum of 90 degrees. | Complementary angles
🗑
|
||||
| Two angles whose measure have the sum of 180 degrees. | Supplementary angles
🗑
|
||||
| One of the two complementary angles. | Complement
🗑
|
||||
| The general measure of an angle's complement. | 90-x
🗑
|
||||
| One of the two supplementary angles. | Supplement
🗑
|
||||
| The general measure of an angle's supplement. | 180-x
🗑
|
||||
| Special angles that are formed when two lines intersect. They are directly across from each other. | Vertical angles
🗑
|
||||
| Vertical angles are congruent. | Theorem 2-3
🗑
|
||||
| Two lines that form right angles. | Perpendicular lines
🗑
|
||||
| The symbol for perpendicular lines. | An upside-down T
🗑
|
||||
| All definitions are known as these. | Biconditionals
🗑
|
||||
| The two conditionals for the definition of perpendicular lines. | If two lines are perpendicular, then they form right angles; If two lines form right angles, then the lines are perpendicular.
🗑
|
||||
| The biconditional for the definition of perpendicular lines. | Two lines are perpendicular if and only if they form right angles.
🗑
|
||||
| If two lines are perpendicular, then they form congruent adjacent angles. | Theorem 2-4
🗑
|
||||
| If two lines form congruent adjacent angles, then the lines are perpendicular. This is the converse of Theorem 2-4. | Theorem 2-5
🗑
|
||||
| If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. | Theorem 2-6
🗑
|
||||
| A written list of conclusions made before writing a proof. | Plan of a proof
🗑
|
||||
| If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent. | Theorem 2-7
🗑
|
||||
| If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent. | Theorem 2-8
🗑
|
||||
| Two methods for finding a plan of a proof. | Gather as much information as possible + work backwards
🗑
|
||||
| A list of statements and reasons that proves a theorem. | Proof
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
LOSBH47
Popular Math sets