Triangle Congruences

1
Triangle Congruences

• SSS SAS AAS ASA HL

2
Is there enough information to conclude that the
two triangles are congruent? If so, what is a
correct congruence statement?
3
What additional information will allow you to
prove the triangles congruent by the HL Theorem?
4
In triangle ACB, segment CD bisects angle ACB and
segment CD is perpendicular to segment AB. Using
the given information, which of the following
most easily justifies that triangle ACD is
congruent to triangle BCD? a. HL c.
AAS b. ASA d. AAA
5
Right triangles ABC and DEF are shown below.
The two triangles can be proven congruent by the
SSS triangle congruency theorem. Which is a step
in that proof?
6
What additional information is needed to prove
the triangles congruent by Angle-Angle-Side
method?
7
In the figure below, SAUG and
Which triangles could you prove congruent by SAS?
8
In the figure below, point X is the midpoint of
.
Which statement, when added to the given
information, is sufficient to prove that
9
In each pair of triangles, parts are congruent as
marked. Which pair of triangles is congruent by
ASA?
A
C
B
D
10
(No Transcript)
11
Supply the missing reasons below.
a. ASA CPCTC b. SSS Reflexive Property c.
SAS Reflexive Property d. SAS CPCTC