Transcript Chapters 4.3-4.5 - Ms. Urquhart's Class Page
Sections 4.3 - 4.5
Triangle Congruence
If 3 sides of one triangle are congruent to 3 sides of another, then the 2 triangles are congruent.
SSS:
Decide whether or not the congruent statement is true by SSS. Explain your reasoning.
a.
b.
by SSS
Not
by SSS
If 2 sides and the included angle of a triangle are congruent to the corresponding parts of another, then the triangles are congruent .
c. SAS:
Decide whether or not the congruent statement is true by SAS.
Explain your reasoning.
d.
No
If 2 angles and the included side of a triangle are congruent to the corresponding parts of another, then the triangles are congruent .
c.
ASA:
Decide whether or not the congruent statement is true by ASA. Explain your reasoning.
A B
d.
E C D
If 2 angles and the non- included side of a triangle are congruent to the corresponding parts of another, then the triangles are congruent .
c.
AAS:
Decide whether or not the congruent statement is true by AAS. Explain your reasoning.
d.
Yes
ASA NO
Leg:
2 shorter sides of a right triangle
Hypotenuse:
Longest side of a right triangle and opposite the right angle If the hypotenuse congruent.
and a l eg of a right triangle are congruent to the corresponding parts of another, then the triangles are
A) HL: Decide whether there is enough information to prove that the two triangles are congruent by using HL theorem.
B)
B and D are both right angles.
SSA / ASS
On Your Own 5:
Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.
1. is
TSW
WVT?
2. 3.
Warm Up:
Use the diagram to name the included angle between the given pair of sides.
a.
H b.
HIG c.
HGI
On Your Own 2:
Use the diagram to name the included angle between the given pair of sides.
a.
b.
GIJ HGI c.
J
EXTRA PRACTICE
Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem.
a.
b.
c.
Practice problems
1.
State the third congruence that is needed to prove that ∆ DEF ∆ ABC, using the given postulate or theorem.
2.
E
B
3.
4.
5.
6.
7.
Tell whether you can use the given information to show that ∆ JKL ∆ RST.
NO Yes AAS Yes ASA NO