Day 4 Problems 1708

1
Day 4 Problems1/7/08

• Tell whether the segment is a leg or the
  hypotenuse of the right triangle.
• AC
• BC
• AB
• Determine whether enough information is given to
  show that the triangles are congruent. Explain.
  What postulate would you use?
• 4. 5.

A
B
C
M
E
D
P
G
F
N
Q
2
5.5 Using Congruent Triangles

• If you know that ABC DEF, then you
  can conclude
• Corresponding Sides Corresponding Angles
• AB DE A D
• BC EF B E
• AC DF C F

C




A
B
E
D
F
3
Overlapping Triangles

• Diagrams often show overlapping triangles. It is
  usually helpful to visualize or redraw the
  triangles so they do not overlap.
• Original Diagram Redrawn Diagram

B
B
B
C
D
C
D
E
E
A
A
4
Visualize Overlapping Triangles

• Sketch the overlapping triangles separately.
  Mark all congruent angles and sides. Then tell
  what theorem or postulate you can use to show
  JGH KHG
• 1. Sketch the triangles separately.
• Mark any given information.

J
K
H
G
J
K
G
H
H
G
5
Visualize Overlapping Triangles Cont.

• 2. Look at the original diagram for shared
  sides, shared angles, or any other information
  you can conclude. In the original diagram, GH
  and HG are the same side, so GH HG.
• 3. You can use the AAS Congruence Theorem to
  show that JGH KHG.

J
K
G
H
G
H

6
More Practice!!!

• Textbook p. 268 269 1 13 odd, p. 271 25
  29 odd.
• Homework p. 268 269 2 14 even, p. 271 24
  28 even.