A triangle with all sides congruent.

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A Triangle with no sides congruent.

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A triangle with 2 sides congruent.

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A triangle with all acute angles.

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A triangle with one obtuse angle.

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A triangle with one 90^o angle.

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A line that intersects a circle at one point

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A chord that goes through the center of the circle.

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An arc that measures less than 180^o

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Segment with endpoints on the circle

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An arc that measures more than 180^o

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An arc that measures 180^o

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- Parallelogram

- 4 Right Angles

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Quadrilateral with one pair of parallel sides.

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Quadrilateral with 2 pairs of parallel sides.

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-Parallelogram

- 4 right angles

-4 congruent sides

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Parallelogram with all sides congruent

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Quadrilateral with 2 pairs of consecutive congruent sides.

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All sides and angles congruent

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Points on the same line.

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Points on the same plane.

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two angles that add up to 180^o

[image]         [image]

Two angles that add up to 90^o

[image]                  [image]

All angles equal.

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All sides equal.

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An example that proves something incorrect.

Example:

Incorrect Statement: "All triangles have 3 acute angles"

Counterexample: [image]

Segments that connect vertices that are not next to each other (nonconsecutive).

[image]     [image]

"Caved in" shape

-Diagonal outside of the shape

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No diagonals outside of shape

"Caved Out"

[image]

Angles across from each other when 2 lines cross

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-Cut something in half

-Divide into 2 equal parts

[image][image]

Point

Line

Plane

A point exactly in the middle

[image] Midpoint= M

Quadrilateral

[image] *how many tires

                                does a quad have?

Pentagon

[image]

Hexagon

 [image][image]

Heptagon

[image]      [image]

Octagon

[image]         [image]

Patterns

Ex. 2, 4, 6, 8, ____

Ex.    [image]     __________

Facts and Definitions

to prove something true

Ex. <A and <B are congruent. If <A=20^o then <B= ___

* <B= 20^o because of the definition of congruent

Sequence that goes up or down by the same amount.

Ex. 1, 3, 5, 7 (up by 2 each time)

Ex. 4, 0, -4, -8 (down by 4 each time)

2 lines on the same plane

that never cross

[image]

2 lines that cross to form right angles

[image]