Page 877 - Algebra 1

Congruence
Skills Bank Lesson 16
Congruent segments are segments that have the same length. Congruent angles are angles that have the same measure.
Figures are congruent if all of their corresponding angles and sides are congruent.
Hint
The symbol for congruent is .
Congruent Triangles
BE
ACDF
Statement: ΔABC ΔDEF
Corresponding Angles
∠A ∠D ∠B ∠E ∠C ∠F
Corresponding Sides
−− −− AB DE
−− −− BC EF
−− −− AC DF
AB
_DE = EF = DF
_
_
BC
AC
In a congruence statement, the order of the letters shows which angles and sides are congruent.
Example
1
Identifying the Corresponding Angles and Sides
Find the congruent angles and sides. Then write a congruence statement.
SOLUTION
∠D ∠I
G
15°
∠D corresponds to ∠I.
D 123°
42°
∠E ∠H ∠E corresponds to ∠H.
∠F ∠G ∠F corresponds to ∠G.
−−−−−− −− DE IH DE corresponds to IH.
−− −−− −− −−− EF HG EF corresponds to HG.
−−−−−− −− DF IG DF corresponds to IG.
Skills Bank Practice
Write a congruence statement for each pair of figures.
E
F
H 123° I
42°
15°
△DEF △IHG
a.
b. 8 J D 8
B 72° 72° K
108° 108°
7 1212 7
108° 108°
T 72° 72° P
8LY8
K
120°
LJ
40°
862
Saxon Algebra 1
P
Q
T
20°
120°