Download Nov 18, 2013 - Trimble County Schools

BA
Can the following form a triangle?
1. 4, 5, 6
2. 4, 7, 11
3. 10, 20, 35
4, 1, 1, 1
Geometry – Lesson 4.2
Obj: ______________________________________________________________
When two figures are ________________, there is a correspondence between their angles
and sides such that ________________________ are _______________ and
___________________________ are ___________________.
1.
Name the corresponding parts that are congruent.
Theorem 4.3 ___________________________________
If two angles of a triangle are congruent to two angles of another triangle, then the third
angles are also congruent.
Find the value of x.
2.
______________________________
Three sides of one triangle marked congruent to three sides of a second triangle.
_________________________________
Two pairs of congruent sides and the angle in between congruent
_________________________________
Two angles congruent and the side in between congruent
___________________________________
Two pairs of congruent angles and a side not between the angles congruent
_________________________________
Two pairs of congruent sides and an angle not between the sides congruent
http://www.mathopenref.com/congruentssa.html
______________________________
Three pairs of congruent angles
http://www.mathopenref.com/congruentaaa.html
__________________________________
If the three sides of one triangle are congruent to the three sides of another triangle, then
the triangles are congruent.
__________________________________
If two sides and the included angle of one triangle are congruent to two sides and the
included angle of another triangle, then the triangles are congruent.
___________________________________
If two angles and the included side of one triangle are congruent to two angles and the
included side of another then the triangles are congruent.
____________________________________
If two angles and a non-included side of one triangle are congruent to two angles and
non-included side of another triangle, then the triangles are congruent.
Are the following triangles congruent? If so, write a congruence statement and tell which
conjecture supports this statement.
1.
3.
2.
4.
5.
6.