6­4 Congruent Polygon 2016.notebook
Daily Do from last class
Find the measure of one interior angle of a regular 38­gon.
January 06, 2017
Homework Answers 6­3:
1. 1,980o 2. 2,700o 3. 2,880o 4. 3,960o 5. 5,400o 6. 5,940o 7. 3,420o 8. 4,860o 9. 9,360o 10. 11,160o 11. 14,220o 12. 26,640o 13. 128.57o 14. 166.15o 15. 144o 16. 164.35o 17. 170.27o 18. 172.94o 19. 172.5o 20. 175.76o 21. 175o 22. 172.65o 23. 174.55o 24. 179.28o Your Name
Mrs. T
Lesson 6­4
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Notes
Congruent Polygons
1
6­4 Congruent Polygon 2016.notebook
Congruent
Polygons
January 06, 2017
­polygons that have all pairs of corresponding angles congruent and all pairs of corresponding sides congruent. ­The letters identifying each polygon are written so that corresponding vertices appear in the same order.
D
B
0.8 cm
2 cm
C
1.5 cm
2 cm
1.5 cm
F
0.8 cm
A
E
Congruent Angles:
Congruent Sides:
Since all pairs of corresponding parts are congruent, the two triangles are congruent.
Congruence
Statement
putting the angle letters in matching order.
Determine whether the polygons are congruent. If so, name the corresponding parts and write a congruence statement.
P
R
Q W
S Y
X
Z
2
6­4 Congruent Polygon 2016.notebook
January 06, 2017
Determine whether the polygons are congruent. If so, name the corresponding parts and write a congruence statement.
J
F
25 in.
8 in.
K
10 in.
L
G
20 in.
M
H
I
If ∆GFD ≅ ∆TRE find each measure.
G
m ∠R
RT
m∠E
FD
50o
E
20 ft
100o
45 ft
37 ft
F
R
30o
D
T
3
6­4 Congruent Polygon 2016.notebook
January 06, 2017
Kevin designed custom tiles for his shower as shown. The tiles are congruent quadrilaterals. Write a congruence statement. Then find m∠J o
o
o
if m∠A = 90 , m∠B = 60 , and m∠D = 90 .
A
D
C
B
J
K
M
L
Exit Question
In the figure, quadrilateral PQRS is congruent to quadrilateral TUVW. Find each measure.
18 cm
R
70o
S
50
Q
V
U
1. PQ
2. m∠ U
3. QR
o
P
27 cm
4. m∠ V
W
T
4
6­4 Congruent Polygon 2016.notebook
January 06, 2017
5
Attachments
quad.wmv
pentagon.wmv
hexagon.wmv
heptagon.wmv