際際滷

際際滷Share a Scribd company logo

1-2 Segment Addition.ppt

Download as PPT, PDF
S
smithj91

The precision of a measurement depends on the tool used. The measurement should be precise to half the smallest unit on the tool. A line segment is part of a line with two endpoints. Segments can be named using the two points in either order. The segment addition postulate states that the sum of two segments equals the third segment. Congruent segments have equal measurements. If a measurement is represented two different ways, the two amounts are equal.

1 of 7
Download to read offline
SECTION 1-2 s.p.i.4.3.A Jim Smith JCHS
THE PRECISION OF A MEASUREMENT IS DEPENDENT ON THE TOOL BEING USED TO MAKE THE MEASUREMENT. THE MEASUREMENT SHOULD BE PRECISE TO 遜 OF THE SMALLEST UNIT ON THE TOOL. IF OUR SMALLEST UNIT IS AN INCH, WELL SAY WERE PRECISE TO 遜 INCH. IF OUR SMALLEST UNIT IS A HALF INCH, WELL SAY WERE PRECISE TO 1/4 INCH.
A LINE SEGMENT IS PART OF A LINE. A SEGMENT HAS 2 ENDPOINTS. WE NAME A SEGMENT BY THESE 2 POINTS AND THE ORDER DOESNT MATTER. A B D C THE POINTS FROM A TO B ARE SEGMENT AB OR BA. THE POINTS FROM C TO D ARE SEGMENT CD OR DC. OTHER SEGMENTS AC , BD , BC , AD
m AX + m XB = m AB OR AX + XB = AB AB - AX = XB BIG LITTLE = LITTLE A X B THE SEGMENT ADDITION POSTULATE LETS US GIVE A NAME TO AN OPERATION THAT WELL USE OFTEN DURING GEOMETRY. LITTLE + LITTLE = BIG AX = Y+3 XB = 3Y AB = 23 LITTLE + LITTLE = BIG Y+3 + 3Y = 23 4Y + 3 = 23 4Y = 20 Y = 5
CONGRUENT SEGMENTS IF 2 FIGURES ARE CONGRUENT, ALL THEIR MEASUREMENTS ARE EQUAL. IF 2 SEGMENTS ARE CONGRUENT, THEIR LENGTHS ARE EQUAL. A B C AB = BC ~
IF A MEASUREMENT IS REPRESENTED OR NAMED 2 DIFFERENT WAYS, THEN THE 2 AMOUNTS ARE EQUAL. H F G FIND FG IF HF = 3X, FG = 12X and HF = 15 WE CANT USE LITTLE + LITTLE = BIG, WHY? HF IS NAMED 2 WAYS SO. 3X = 15 X = 5 FG = 12(5) = 60
1. Find MN if N is between M and P, MN = 5X - 4, NP = 4X + 6 and MP = 47 2. Find WY if X is between W and Y, WX = 3A + 2, XY = 30, and WY = 10A + 11 3. Find the precision for a measurement of 32 meters. 4. What is an acceptable range for a measurement of 51.5 inches? 5. Find AC if C is between A and B and AC = 2X + 4, CB = AC and AB = 3X + 17 LITTLE + LITTLE = BIG 5X 4 + 4X + 6 = 47 9X + 2 = 47 X = 5 MN = 5(5) 4 = 21 LITTLE + LITTLE = BIG 3A + 2 + 30 = 10A + 11 3A + 32 = 10A + 11 3 = A WY = 10(3) + 11 = 41 .5 METERS 51.25 TO 51.75 INCHES 2 ( 2X + 4 ) = 3X + 17 4X + 8 = 3X + 17 X = 9 AC = 2(9) = 18

More Related Content

1-2 Segment Addition.ppt

  • 2. THE PRECISION OF A MEASUREMENT IS DEPENDENT ON THE TOOL BEING USED TO MAKE THE MEASUREMENT. THE MEASUREMENT SHOULD BE PRECISE TO 遜 OF THE SMALLEST UNIT ON THE TOOL. IF OUR SMALLEST UNIT IS AN INCH, WELL SAY WERE PRECISE TO 遜 INCH. IF OUR SMALLEST UNIT IS A HALF INCH, WELL SAY WERE PRECISE TO 1/4 INCH.
  • 3. A LINE SEGMENT IS PART OF A LINE. A SEGMENT HAS 2 ENDPOINTS. WE NAME A SEGMENT BY THESE 2 POINTS AND THE ORDER DOESNT MATTER. A B D C THE POINTS FROM A TO B ARE SEGMENT AB OR BA. THE POINTS FROM C TO D ARE SEGMENT CD OR DC. OTHER SEGMENTS AC , BD , BC , AD
  • 4. m AX + m XB = m AB OR AX + XB = AB AB - AX = XB BIG LITTLE = LITTLE A X B THE SEGMENT ADDITION POSTULATE LETS US GIVE A NAME TO AN OPERATION THAT WELL USE OFTEN DURING GEOMETRY. LITTLE + LITTLE = BIG AX = Y+3 XB = 3Y AB = 23 LITTLE + LITTLE = BIG Y+3 + 3Y = 23 4Y + 3 = 23 4Y = 20 Y = 5
  • 5. CONGRUENT SEGMENTS IF 2 FIGURES ARE CONGRUENT, ALL THEIR MEASUREMENTS ARE EQUAL. IF 2 SEGMENTS ARE CONGRUENT, THEIR LENGTHS ARE EQUAL. A B C AB = BC ~
  • 6. IF A MEASUREMENT IS REPRESENTED OR NAMED 2 DIFFERENT WAYS, THEN THE 2 AMOUNTS ARE EQUAL. H F G FIND FG IF HF = 3X, FG = 12X and HF = 15 WE CANT USE LITTLE + LITTLE = BIG, WHY? HF IS NAMED 2 WAYS SO. 3X = 15 X = 5 FG = 12(5) = 60
  • 7. 1. Find MN if N is between M and P, MN = 5X - 4, NP = 4X + 6 and MP = 47 2. Find WY if X is between W and Y, WX = 3A + 2, XY = 30, and WY = 10A + 11 3. Find the precision for a measurement of 32 meters. 4. What is an acceptable range for a measurement of 51.5 inches? 5. Find AC if C is between A and B and AC = 2X + 4, CB = AC and AB = 3X + 17 LITTLE + LITTLE = BIG 5X 4 + 4X + 6 = 47 9X + 2 = 47 X = 5 MN = 5(5) 4 = 21 LITTLE + LITTLE = BIG 3A + 2 + 30 = 10A + 11 3A + 32 = 10A + 11 3 = A WY = 10(3) + 11 = 41 .5 METERS 51.25 TO 51.75 INCHES 2 ( 2X + 4 ) = 3X + 17 4X + 8 = 3X + 17 X = 9 AC = 2(9) = 18