1-2 Measuring & Constructing Segments

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Presentation transcript:

1-2 Measuring & Constructing Segments Geometry

Postulates Rules that are accepted as _____ without having to be _________. Sometimes they are called ________.

Postulate 1-2-1: Ruler post. The points on a line can be matched with those on the real # line. The real # that __________to a point is the coordinate of the point. If you find the ____________ between the coordinates of 2 points, then take the absolute _______, you will have the distance between the points.

Ruler post. (continued) A B x1 x2 The length of AB can be found by x2-x1 **The symbol for the length of AB is AB.

Example 1: Find AB. A B Point A is at 1.5 and B is at 5. So, AB = __ - __ =_____

Is Alex between Ty and Josh? How about now? In order for a point to be between 2 others, all 3 points MUST BE__________!!

Congruent ( ) Segments Segments that have the same length. If AB & XY have the same length, Then AB=XY, but AB XY Symbol for congruent Tick marks are used to show congruent segments

Post. 1-2-2: Segment Addition Post. If B is between A & C, then AB + BC = AC. If AB + BC = AC, then B is between A & C. C B A

Ex 2: if DE = 2, EF = 5, and DE = FG, find FG, DF, DG, & EG.

Ex. 3) B is between A and C. Find AC. A 3x -1 B 13 C 6x

Reminder Midpoint is the ___________ point Bisects or __________ the segment into two congruent segments. Ex. 4) S is the midpoint of RT, RS = -2x, ST = -3x -2 Find RS = ___ ST = ___ RT = ___

Assignment

(x1,y1) & (x2,y2) are the 2 points. 1.3B Distance Pythagorean Theorem – a2+b2=c2 a & b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Distance formula – (x1,y1) & (x2,y2) are the 2 points.