Honors Geometry Lesson Five

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Ruler Postulate

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1

Ruler Postulate

The points on any line or line segment can be put into one-to-one correspondence with real numbers.

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2

coordinate of a point on a number line

the number that corresponds to that point

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3

uppercase letter

represents points

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4

lower case letter

represents variables for the coordinate

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5

The length of a line segment

is the absolute value of the difference between the points coordinates

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6

congruent

Having the same size and shape

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7

congruent segments

segments that have the same length

<p>segments that have the same length</p>
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8

congruent angles

angles that have the same measure

<p>angles that have the same measure</p>
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9

adjacent angles

two angles that share a common vertex and side, but have no common interior points

<p>two angles that share a common vertex and side, but have no common interior points</p>
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10

angle addition postulate

If point P is in the interior of <RPS, then m<RPS + m<SPT= m<RST

<p>If point P is in the interior of &lt;RPS, then m&lt;RPS + m&lt;SPT= m&lt;RST</p>
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11

Protractor Postulate

any angle can be put into one-to-one correspondence with real numbers between 0 and 180.

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12

acute angle

an angle that measures less than 90 degrees

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13

obtuse angle

An angle that measures more than 90 degrees but less than 180 degrees

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14

right angle

an angle that measures 90 degrees

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15

straight angle

an angle that measures 180 degrees

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16

AB+BC=AC

segment addition

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