THURSDAY, OCTOBER 20
IN THE FIGURE BELOW, POINT P IS ON LINE l. WHAT IS THE VALUE OF X?
1
CORRECT HOMEWORK:
PERIOD 4: PRACTICE 2.6C
PERIOD 5: PRACTICE 2.5B(#3) AND 2.5C
2
REVIEW PROPERTIES OF EQUALITY:
REFLEXIVE:
SYMMETRIC:
TRANSITIVE:
SUBSTITUTION:
3
DEFINITION OF CONGRUENCE:
4
SEGMENT ADDITION POSTULATE
ANGLE ADDITION POSTULATE
5
LINEAR PAIR:
COMPLEMENTARY ANGLES:
SUPPLEMENTARY ANGLES:
VERTICAL ANGLES:
6
NAME THE PROPERTY SHOWN.
1) 7
8
9
THEOREM 2.3 RIGHT ANGLE
CONGRUENCE THEOREM
ALL RIGHT ANGLES ARE CONGRUENT.
GIVEN: 1 AND 2 ARE RIGHT ANGLES
PROVE: 1 10
USING THE RIGHT ANGLE CONGRUENCE
STATEMENT REASON
11
THEOREM 2.4 CONGRUENT SUPPLEMENTS
THEOREM
IF TWO ANGLES ARE SUPPLEMENTARY TO THE SAME ANGLE, THEN THEY ARE CONGRUENT.
2
1
3
IF 1 AND 2 ARE SUPPLEMENTARY AND
3 AND 2 ARE SUPPLEMENTARY THEN
1 3.
12
THEOREM 2.5 CONGRUENT COMPLEMENTS
THEOREM
OF TWO ANGLES ARE COMPLEMENTARY TO THE SAME ANGLE, THEN THEY ARE CONGRUENT.
IF 4 AND 5 ARE COMPLEMENTARY AND
6 AND 5 ARE COMPLEMENTARY, THEN
4 6.
13
STATEMENT REASON
14
POSTULATE 12 LINEAR PAIR POSTULATE
IF TWO ANGLES FORM A LINEAR PAIR, THEN THEY ARE SUPPLEMENTARY.
1 2
IF ANGLES 1 AND 2 FORM A LINEAR PAIR THEN THEY ARE SUPPLEMENTARY.
15
THEOREM 2.6 VERTICAL ANGLES
CONGRUENCE THEOREM
VERTICAL ANGLES ARE CONGRUENT
1
2
3
4
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PAGES 127 # 8 ­ 11
4
1 2
3
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12. (8X+7)
(5Y)
(7Y ­ 34)
(9X­4)
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13. 4X (7Y­12)
(6Y+8) (6X­26)
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