MONDAY, SEPTEMBER 19
WARM­UP:
WHAT ARE THE SOLUTIONS TO X2 + 4X = 5?
A) X = 1 AND X = 5
B) X = 1 AND X = ­5
C) X = ­1 AND X = 5
D) X = ­1 AND X = ­5
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AN ANGLE CONSISTS OF TWO DIFFERENT RAYS WITH THE SAME ENDPOINT. THE RAYS ARE THE SIDES OF THE ANGLE. THE ENDPOINT IS THE VERTEX OF THE ANGLE.
B
A
C
THE VERTEX IS POINT A
THE SIDES ARE AB AND AC
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THE FOLLOWING ANGLE CAN BE NAMED THREE WAYS.
B
A
C
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NAME THE THREE ANGLES IN THE DIAGRAM.
W
Y
X
Z
YOU SHOULD NOT NAME ANY OF THESE ANGLES X BECAUSE ALL THREE ANGLES HAVE X AS THEIR VERTEX.
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WRITE THREE NAMES FOR THE ANGLE AND NAME THE VERTEX AND SIDES OF THE ANGLE.
1) 7
2) 8
3) 9
MEASURING ANGLES
A PROTRACTOR IS USED TO APPROXIMATE THE MEASURE OF AN ANGLE. AN ANGLE IS MEASURE IN UNITS CALLED DEGREES ( ).
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CLASSIFYING ANGLES
AN ACUTE ANGLE HAS MEASURE GREATER THAN 0 AND LESS THAN 90 .
A RIGHT ANGLE HAS MEASURE EQUAL TO 90 .
AN OBTUSE ANGLE HAS MEASURE GREATER THAN 90 AND LESS THAN 180 .
A STRAIGHT ANGLE HAS MEASURE EQUAL TO 180 .
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CLASSIFY THE ANGLE WITH THE GIVEN MEASURE AS ACUTE, RIGHT, OBTUSE, OR STRAIGHT.
1) m W = 42
2) m X = 180
3) m Y = 90
4) m B = 135
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TWO ANGLES ARE CONGRUENT ANGLES IF THEY HAVE THE SAME MEASURE. WE USE THE SYMBOL TO STATE THAT A PAIR OF GEOMETRIC FIGURES HAVE THE SAME SIZE AND SHAPE.
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ANGLE ADDITION POSTULATE
IF P IS IN THE INTERIOR OF RST, THEN THE MEASURE OF RST IS EQUAL TO THE SUM OF THE MEASURES OF RSP AND PST.
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GIVEN THAT m LKN = 145 , FIND m LKM AND m MKN.
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GIVEN THAT KLM IS A STRAIGHT ANGLE, FIND m KLN AND m NLM.
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GIVEN THAT EFG IS A RIGHT ANGLE, FIND m EFH AND m HFG.
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IF m XYZ = 72 , FIND m XYW AND m ZYW.
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PAGES 28,29 # 3 ­ 10, 22 ­ 27
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