Ch 4 Notesheet Key
Ch 4 Notesheet Key
Ch 4 Notesheet Key
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<strong>Ch</strong> 4 Note Sheet L1 <strong>Key</strong><br />
Name ___________________________<br />
SAA or AAS Congruence Conjecture<br />
If two angles and a non-included side of one triangle are congruent to the corresponding<br />
angles and side of another triangle, then the triangles are congruent.<br />
D<br />
O I<br />
G<br />
Z<br />
P<br />
ΔPIZ<br />
≅ Δ _______<br />
By SAS Congruence Conjecture.<br />
ΔCAP<br />
≅Δ _______<br />
P<br />
A<br />
T<br />
C<br />
By SAS Congruence Conjecture.<br />
Special Case: Hypotenuse Leg Congruence Conjecture<br />
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one<br />
leg of another right triangle, then the two triangles are congruent.<br />
D<br />
O<br />
I<br />
O<br />
G<br />
Z<br />
P<br />
ΔDOG<br />
≅ Δ _______<br />
By HL Congruence Conjecture.<br />
C<br />
P<br />
A<br />
ΔCOP<br />
≅Δ _______<br />
By HL Congruence Conjecture.<br />
SSA or ASS Congruence?<br />
If two sides and the non-included angle of one triangle are congruent to two sides and the<br />
non-included angle of another triangle, then the triangles are NOT necessarily congruent.<br />
A<br />
I<br />
Draw a counterexample.<br />
I<br />
C<br />
T Z<br />
P<br />
ΔZIP<br />
≅ Δ _______<br />
By NOT necessarily congruent.<br />
Z<br />
P<br />
S. Stirling Page 7 of 15
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