Section 1.3

Post on 29-Mar-2016

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SAP and midpoint

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Answer the following questions with true or false:

1. Line PF ends at point F.2. Planes have edges.3. Line XY can be written two different

ways.4. Line PF has no thickness.

Obj: Find the length of a segment using SAP

2 specific endpoints Infinite amount of points in between Notation: AB

Sun One endpoint Extends infinitely in one direction Notation (BE CAREFUL):AB

QA and QB are opposite rays if Q is between A and B.

Example: Opposite Rays

Distance between two points

Notation: AB

EX: Find the length of JM

MJ

1-1 0

Accepted…without proof!

First postulateSAP

If B is between A and C, then…….. AB + BC = AC

B is between A and C. AB = x, BC = x + 6, and AC = 24 Find AB and BC.

Draw a diagram FIRST!!!

Page 14; 1-11 CLASSROOM EXERCISES

A is between C and T. If CA = 3x – 5, AT = 10 and CT = 4x,Find CT.

1. segment, ray, line, length2. 2; 1; 03. Yes4. No 8. T5. Yes 9. 1; 1; 46. Yes 10. QR, RS, ST7. -2, 0 11. Ray ST

Objective- Calculate the midpoint of a segment.

Same size and shape Symbol:

Congruent Segments = same length Notation:

Point that divides a segment into two congruent segments

Find the coordinate of the midpoint of segment AB if the coordinate of A is -7 and the coordinate of B is 15.

Draw the diagram first!

E is the midpoint of DF. If DE = 4x + 5 and EF = 49, find the

value of x.

Line, segment, ray or plane that intersects a segment at its midpoint.

Segment Bisector

What is the difference between a midpoint and a bisector?

Draw two points P and Q on the patty paper.

Fold the paper so that fold line f contains both P and Q.

Unfold the paper Now fold so that P falls on Q. Call the second fold g.

Lay the paper flat and label the intersection of f and g as point X.

How are points P, Q, and X related? How is line g related to segment PQ?

Page 15-16; 1-35 OddWritten Exercises