Download 4.1_Worksheet

Name _______________________
Date ________________________
Period ______
4.1 Worksheet
Congruent Figures
Δ LMC  Δ BJK. Complete the congruence statements.
1. KJ  _________
2.  L  _________
3.  M  _________
4. Δ KBJ  _________
5.
Δ JKB  _________
POLY  SIDE. List each of the following.
6. Four pairs of congruent sides
7. Four pairs of congruent angles
In the two lifeguard chairs, ABCD  FGHI. Find the measure of the angle or the
length of the side.
8. AD = ____________
9. HI = ____________
10. m FGH = ____________
11. m ADC = ____________
12. m DCB = ____________
13. m IFG = ____________
Can you conclude the following figures are congruent? Justify each answer. If
so, write a congruence statement.
14.
15.
16.
17. Use the information given in the diagram. Tell why each statement is true.
a) AB II DC
______________________________________
b) CAB  ACD __________________________________
c) B  D ______________________________________
d) BCA  DAC __________________________________
e) AC  AC ______________________________________
f) AB  DC, BC  AD _______________________________
g) Δ ABC  Δ CDA _________________________________
Find the values of the variables.
18.
#19-20: Δ ABC  Δ DEF.
Find the measures of the given angles or the lengths of the given sides.
19. mA = x + 10, mD = 2x
20. BC = 3z + 2, EF = z + 6
21. Use the information given in the diagram. Tell why each statement is true.
a) PR II TQ ______________________________________
b) PRS  QTS __________________________________
c) RPS  TQS __________________________________
d) PSR  QST __________________________________
e) PR  QT, PS  QS _______________________________
f) PQ bisects RT ___________________________________
g) Δ PRS  Δ QTS _________________________________