transitive property of congruence and equality geo125 transitive property of equality: if a = b and...
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TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
TRANSITIVE PROPERTY of EQUALITY: if a = b and b = c, then a = c.
If 4 + 5 = 9 and 3 + 6 = 9, then 4 + 5 = 3 + 6.
a = 5 and 5 = b, then a = b.
Which of the following does NOT represent the transitive property of equality?
If 4x + 2 = 7 and x = 3, then 7 = 4(3) + 2.
TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
ANSWER!
TRANSITIVE PROPERTY of EQUALITY: if a = b and b = c, then a = c.
If 4 + 5 = 9 and 3 + 6 = 9, then 4 + 5 = 3 + 6.
a = 5 and 5 = b, then a = b
Which of the following does NOT represent the transitive property of equality?
If 4x + 2 = 7 and x = 3, then 7 = 4(3) + 2.
TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
TRANSITIVE PROPERTY of CONGRUENCE: if AB CD and CD EF then AB EF.
A
C B
AB AC AB BC
What can you conclude about the triangle given the following information?
TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
TRANSITIVE PROPERTY of CONGRUENCE: if AB CD and CD EF then AB EF.
A
C B
AB AC AB BC
What can you conclude about the triangle given the following information?
AC BC
ANSWER!
It’s an equilateral triangle!
TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
USE IT!
Answer on next slide.
BC CD CD DA
What can you conclude about a quadrilateral with 2 pair of parallel sides given the following information?
TRANSITIVE PROPERTY of CONGRUENCE and EQUALITYGEO125
ANSWER!
BC CD CD DA BC DA
A
D C
B
It’s either a square or a rhombus!
A
D C
B
What can you conclude about a quadrilateral with 2 pair of parallel sides given the following information?