Download Section 1-5 - Congruency

Sec 1.5 CC Geometry – Congruence
Name:
Any two congruent figures can be mapped onto one another using a series of rigid or isometric
transformation (reflections, rotations, and translations). – See GSP Lab (Transformations) –
Each of the following pairs of figures shown below are congruent. Write a congruence statement for each
and tell whether or not a reflection would be needed to map the pre-image onto the image.
1.
2.
3.
4.
Given the following congruencies find the requested unknown angle.
5. ABC  ONM
42°
6. GEM  TOR
57°
(3x+20)°
50°
mMNO 
(3x)°
mGEM 
Given the following congruencies find the requested unknown side.
7.
⊿TRI ≅ ⊿ANG
8.
MTH  FUN
17
8
UF 
GN 
Angle Puzzles. (angles are not drawn to scale)
9. Find
m BCE
10. Find
Given:
 1 bisects DAB
 m DAB  50
ABC is a right angle

m GFH
Given:




GH bisects FGI
m FGI  60
m GIH  75
FHI is a right angle
G
●
B
●
E
●
F
●
●
C
A
●
m BCE 
●
D
H●
m GFH 
●
I