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Transcript
RGeom4.3and4.4.notebook
November 09, 2016
Warm-Up
Write a congruency statement for triangle CAT and triangle DOG.
G
A
C
T
D
O
Remember ....
To prove figures are congruent, all sides and all angles must be congruent
for triangles, that means 6 things congruent - 3 angles and 3 sides
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RGeom4.3and4.4.notebook
November 09, 2016
Review:
Hypotenuse of a Triangle
(the side of the triangle ACROSS from the right angle)
(also .... the longest side in a right triangle)
2
RGeom4.3and4.4.notebook
November 09, 2016
Included Sides and Angles:
Included Angle
Which angle is the included angle
for sides XZ and YX??
(the angle between two given sides)
X
Y
Z
Included Side
(the side between two given angles)
Which side is the included side for
angles CBA and CAB??
B
A
C
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RGeom4.3and4.4.notebook
November 09, 2016
Triangle Congruence Theorems
If three sides of one triangle are congruent
to three sides of a second triangle, then the
two triangles are congruent.
4
RGeom4.3and4.4.notebook
November 09, 2016
Triangle Congruence Theorems
If two sides and the included angle of one
triangle are congruent to two sides and the
included angle of a second triangle, then the two
triangles are congruent.
5
RGeom4.3and4.4.notebook
November 09, 2016
Triangle Congruence Theorems
If the hypotenuse and a leg of a right triangle are
congruent to the hypotenuse and a leg of a second right
triangle, then the two triangles are congruent.
6
RGeom4.3and4.4.notebook
November 09, 2016
Notes Packet - pg. 10
Decide whether the congruence is true. Explain your reasoning.
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RGeom4.3and4.4.notebook
November 09, 2016
Pick the congruent triangles (if there are any) and write a congruency statement.
Remember, in Congruence statements ________________ matters!!
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RGeom4.3and4.4.notebook
November 09, 2016
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RGeom4.3and4.4.notebook
November 09, 2016
10