3rd period to F18 next Tues -...
3
triangle congruence (sss, sas).notebook 1 March 15, 2013 Jan 239:44 AM Warm Up 1. Find the distance between the points: (4, 5) and (0, 5). 2. Tell whether the triangles are similar. Give corresponding parts, theorem, & write similarity statement. (a) (b) (c) Jan 277:19 AM Heads up: • 3rd period to F18 next Tues • Quiz next Thurs Jan 239:54 AM Prove Triangles Congruent by SSS & SAS Jan 239:57 AM SideSideSide (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. If Side AB ≅ ____, Side BC ≅ ____, Side CA ≅ ____, then Δ ABC ≅ ______. S R T B A C Order Matters! Jan 256:45 PM Example 1 Use the SSS Congruence Postulate (a) Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement. A B C D E Jan 256:45 PM Example 1 Use the SSS Congruence Postulate (b) Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement. J K L M 9 9 8 8
Transcript of 3rd period to F18 next Tues -...
triangle congruence (sss, sas).notebook
1
March 15, 2013
Jan 239:44 AM
Warm Up1. Find the distance between the points: (4, 5) and (0, 5).
2. Tell whether the triangles are similar. Give corresponding parts, theorem, & write similarity statement.(a) (b) (c)
Jan 277:19 AM
Heads up: • 3rd period to F18 next Tues
• Quiz next Thurs
Jan 239:54 AM
Prove Triangles Congruent by SSS & SAS
Jan 239:57 AM
SideSideSide (SSS) Congruence Postulate
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
If Side AB ≅ ____,
Side BC ≅ ____,
Side CA ≅ ____,
then ΔABC ≅ ______.
S
R
T
B
A
C
Order Matters!
Jan 256:45 PM
Example 1Use the SSS Congruence Postulate
(a) Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement.
A
B C
D
E
Jan 256:45 PM
Example 1Use the SSS Congruence Postulate
(b) Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement.
J
K
L
M9 9
88
triangle congruence (sss, sas).notebook
2
March 15, 2013
Jan 256:55 PM
Example 2(a) Use the SSS Congruence Postulate to show that ΔLMN ≅ ΔOPN.
Use the Distance Formula to show that corresponding sides
are the same length.
L(4, 3)P(3, 2)
O(4, 5)M(3, 4)
N(0, 1)
Jan 257:03 PM
L(4, 3)P(3, 2)
O(4, 5)M(3, 4)
N(0, 1)
Jan 257:06 PM
L(4, 3)P(3, 2)
O(4, 5)M(3, 4)
N(0, 1)
Jan 257:14 PM
(b) ΔDFG has vertices D(2, 4), F(4, 4), and G(2, 2). ΔLMN has vertices L(3, 3), M(3, 3), and N(1, 3). Graph the triangles in the same coordinate plane and show that they are congruent.
Jan 257:14 PM
62
6
2
D
G
FM
L N
2√10
2√10
Jan 257:16 PM
SideAngleSide (SAS) Congruence Postulate
If two sides and the included angle of one triangle are congruent to two sides and the included angle of the second triangle, then the two triangles are congruent.
If Side RS ≅ UVAngle R ≅ U and Side RT ≅ UW
then ΔRST ≅ ΔUVW
R
S
TU
V
W
triangle congruence (sss, sas).notebook
3
March 15, 2013
Jan 257:16 PM
Example 3
Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement.(a) (b)
Jan 257:16 PM
Example 3
Show that the two triangles are congruent. State theorem, congruent parts, and congruence statement.(c)
Jan 257:16 PM
Example 4
State a third congruence that would allow you to prove ∆RST ≅ ∆XYZ by the SAS Congruence postulate.
ST ≅ YZRS ≅ XY
Jan 257:17 PM
Tonight's Homework:Blue workbookp. 6771 skip
#89, 1315, 11, 1516
