Download ABE CBD 

Notes – Lesson 4.1
Geometry
Name _______________________________________
. List each of the following.
1. three pairs of congruent sides
2. three pairs of congruent angles
ABE  CBD
3. three pairs of congruent sides
4. three pairs of congruent angles
Each pair of polygons is congruent. Find the measures of the numbered angles.
5.
6.
7. Find angle B.
Third Angle Theorem.
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are ________________.
Proofs:
8. Prove all segments and all angles congruent.
Sides
AB = DE
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BC = CD
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AC = EC
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Angles
B = D
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A= E
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 BCA =  CDE
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Sides
9. Prove all segments and all angles are congruent.
_____________
________________________
_____________
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_____________
________________________
Angles
10. Prove all segments and all angles are congruent.
_____________
________________________
_____________
________________________
_____________
________________________
Sides
_____________
________________________
_____________
________________________
_____________
________________________
Angles
_____________
________________________
_____________
________________________
_____________
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State whether the figures are congruent. If no, tell what is missing.
11.
12.
13.
14.
15. x is the midpoint of CD
16. GH bisects
 AGR
ABC  DEF . Find the measures of the given angles or the length of the given sides.
17.
 A = x + 120 and  D = 4x
18. AC = x + 120 and DF = 2x + 12
19. BC = 4x - 25 and EF = 2x - 17
20.