Geometry Terms Chapter 2 Sections 1-4

Hypothesis and Conclusion

If = Hypothesis, Then= Conclusion

ex. If I live in ATL, then I live in GA

Converse

Switch if + then portions

ex. If I live in GA, then I live in ATL

True/False

When statements are true or false

Counterexample

Proof that if-then statement is false

ex. if x² = 25, then x = 5

countex: -5

Biconiditionals

A statement that contains the words "if and only if"

If statement + converse are ALWAYS true.

Best exs: DEFINITIONS

Given

Starting point (what we know/are told)

Symmetric Property

Left/Right sides of equation are switched

ex. x + 2 = 6

6 = x + 2

Distributive Property

Multiplying through entire quantity

ex. 4(2x - 12) = -16

8x - 48 = -16

Addition/Subraction Property

Adding/Subtracting a value from both sides

ex. 8x - 48 = -16

8x = 32

Division/Multiplication Property

Divide/Multiply a value from both sides

ex. 8x = 32

x = 4

Reflexive Property

When the same value equals each other

ex. a = a, 7 = 7, etc.

Substitution Property

Replacing the name for a different name but equals the same value

ex. 8 = 7 + 1, 8 x 1, 9 - 1, 16 ÷ 2, etc.

Addition Property "formula"

LITTLE + LITTLE = LITTLE + LITTLE

LITTLE = LITTLE (ex. m

Addition Property Steps

1. Given

2. (Reflexive if needed as step #2) ADD

3. SAP/AAP

4. Substitution

Subtraction Property Steps

1. Given

2. SAP/AAP

3. Substitution

4. Reflexive OR Given

5. Subtract

Midpoint Theorem: M is mdpt of AB

If M is mdpt of AB, then AM= 1/2 AB

Bisector Theorem: AD bisects

If AD bisects

Complementary Angles:

If

Supplementary Angles:

If

VAT (Vertical Angle Theorem)

Vertical Angles

Description: Bow tie