Course 3 Chapter 5 Lesson 6

1
5-6
Congruence
Warm Up
Problem of the Day
Lesson Presentation
Pre-Algebra
2
Warm Up Find the measure of the indicated angle.
1. The fourth angle in a quadrilateral containing
angles of 100, 130, and 75
55
2. The third angle of a right triangle with an
angle of 60
30
3. The supplement of a 35 angle
145
3
Problem of the Day What type of polygon am I? My
opposite angles have equal measure. I do not have
a right angle. All my sides are congruent.
rhombus
4
Learn to use properties of congruent figures to
solve problems.
Vocabulary
Correspondence
a way of matching up two sets of objects.
5
If two polygons are congruent, all of their
corresponding sides and angles are congruent.
In a congruence statement, the vertices in the
second polygon are written in order of
correspondence with the first polygon.
6
Write a congruence statement for the pair of
polygons.
?ABC _at_
?Q
R
P
7
List all the congruent angles and sides based on
the statement ? ABC _at_ ? QRP.
Angles Segments
?A _at_ ?Q
AB _at_ QR
?B _at_ ?R
BC _at_ RP
?C _at_ ?P
AC _at_ QP
8
In the figure, quadrilateral VWXY _at_ quadrilateral
JKLM.
Find a.
a 8 24
a 16
8 8
9
In the figure, quadrilateral VWXY _at_ quadrilateral
JKLM.
Find b.
30 6b
b 5
10
In the figure, quadrilateral VWXY _at_ quadrilateral
JKLM.
Find c.
5c 85
c 17
11
Lesson Quiz
In the figure, WXYZ _at_ ABCD
80
10
2. Find m?B.
90
8
4. Find m?Z.
12
Homework

• Pg 252
• 1 12 all
• 18 26 all