Download Proving Triangles Congruent day 1

4.4/4.5 Proving Triangles Congruent – Day 1
Determine whether
Name__________________________________
given the coordinates of the vertices. Explain
1. A(-3, 3), B( -1, 3), C( -3, 1), K(1, 4), L(3, 4), M(1, 6)
2. A(-4, -2), B( -4, 1), C( -1, 1), K(0, -2), L(0, 1), M(4, 1)
3. Which of the following conditions are sufficient to prove that two triangles are congruent?
A. Two sides of one triangle are congruent to two sides of the other triangle.
B. Three sides of one triangle are congruent to three sides of the other triangle.
C. Three angles of one triangle are congruent to three angles of the other triangle.
D. All six corresponding parts of two triangles are congruent.
E. Two angles and the included side of one triangle are congruent to two angles and the included side of the
other triangle.
F. Two angles and the nonincluded side of one triangle are congruent to two angles and the nonincluded side of
the other triangle
G. Two sides and the included angle of one triangle are congruent to two sides and the included angle of the
other triangle
H. Two sides and the nonincluded angle of one triangle are congruent to two sides and the nonincluded angle of
the other triangle
Determine which postulate(s) (SSS, SAS, ASA, AAS) can be used to prove that the triangles are congruent. If it is not
possible to prove that they are congruent, write not possible.
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7.
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9.
Determine whether you have enough information to prove that the two triangles are congruent. If so, write a congruence
statement and name the congruence postulate you would use. If not, write not possible.
10.
12.
11. ̅̅̅̅ and̅̅̅̅ bisect each other
13. T is the midpoint of ̅̅̅̅
14. Refer to the figure
a. Name the sides of
for which
b. Name the sides of
for which
is the included angle
c. Name the sides of
for which
is the included angle
is the included angle
Draw and label
and
. Indicate which additional pair of corresponding parts needs to be congruent for the
triangles to be congruent by the AAS theorem.
15.
;
15. ̅̅̅̅
̅̅̅̅ ;