4.2B and 4.3 Notes
description
Transcript of 4.2B and 4.3 Notes
![Page 1: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/1.jpg)
4.2B and 4.3 Notes
Congruent Triangles and SSS
![Page 2: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/2.jpg)
Definition of Congruent Triangles:
If 3 sides and 3 angles of a triangle are equal, then the triangles are congruent
![Page 3: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/3.jpg)
If ∆BDF ∆KCA, then
Corresponding sides are: Corresponding angles are:
KCBD
CADF
KABF
B KD CF A
![Page 4: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/4.jpg)
1. Given GEO FUN, name all corresponding angles and sides.
Sides Angles
FUGE
UNEO
FNGO
G FE UO N
![Page 5: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/5.jpg)
2. In the diagram, EFG OPQ. Complete the statement.
7km
110°
OP
F
Q
110°
7km
QPO
![Page 6: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/6.jpg)
Side-Side-Side (SSS) Congruence Postulate
A B C D4cm 4cm
E F
CDAB
CFAE
DFBE
![Page 7: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/7.jpg)
If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________.
congruent
congruent
![Page 8: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/8.jpg)
Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
![Page 9: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/9.jpg)
Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
![Page 10: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/10.jpg)
Decide whether the congruence statement is true. Explain your reasoning.
Yes, SSS
![Page 11: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/11.jpg)
Given:
Prove: ∆ABC ∆ADC
ADAB DCBC
ADAB Given
DCBC Given
ACAC Reflexive Prop.
∆ABC ∆ADC SSS
1. 1.
2. 2.
3. 3.
4. 4.
Statements Reasons
![Page 12: 4.2B and 4.3 Notes](https://reader035.fdocuments.in/reader035/viewer/2022081506/56813b76550346895da485c3/html5/thumbnails/12.jpg)
AB CB Given
ACD ofmidpoint theis Given
DCAD Def. of Midpt
∆ABD ∆CBD SSS
DBDB Reflexive Prop.
A D C
B
1. 1.
2. 2.
3. 3.
4. 4.
5. 5.
Statements Reasons