Page 167 - NUMINO Challenge_C1
P. 167
Answer
Key
14 Areas of Congruent Shapes p.120~p.121 2 Relocate the small squares as shown in the
Example 1 picture below. The big square is equal to 16
4 square pieces, and the colored
part is equal to 8 square pieces.
1 , right, 90, congruent Since the area of one square
2 piece is 3 3 9 cm2, the area
of the colored part is
1 9 8 72 cm2.
4
Type 14-2 Bisection of an Area p.124~p.125
1
Example EBF, EDG congruent center
2
Type 14-1 Overlapping Squares p.122~p.123
3
1 Triangles CHD and EHF are congruent, so if you
move the squares, the overlapping part will become
1 of the square.
4
C
HD
EF
2 As explained in 1 , the sum of the areas of A and
B is each 1 of the area of the colored paper.
4
(4 4 4) (4 4 4) 8 cm2
3 (6 6 4) (6 6 4) (6 6 4) (6 6 4) 36 cm2
Problem solving Problem solving
1 60 1 Bisect the uncolored part.
60 A
30 1 10 cm2
3
NUMINO Challenge C1
Key
14 Areas of Congruent Shapes p.120~p.121 2 Relocate the small squares as shown in the
Example 1 picture below. The big square is equal to 16
4 square pieces, and the colored
part is equal to 8 square pieces.
1 , right, 90, congruent Since the area of one square
2 piece is 3 3 9 cm2, the area
of the colored part is
1 9 8 72 cm2.
4
Type 14-2 Bisection of an Area p.124~p.125
1
Example EBF, EDG congruent center
2
Type 14-1 Overlapping Squares p.122~p.123
3
1 Triangles CHD and EHF are congruent, so if you
move the squares, the overlapping part will become
1 of the square.
4
C
HD
EF
2 As explained in 1 , the sum of the areas of A and
B is each 1 of the area of the colored paper.
4
(4 4 4) (4 4 4) 8 cm2
3 (6 6 4) (6 6 4) (6 6 4) (6 6 4) 36 cm2
Problem solving Problem solving
1 60 1 Bisect the uncolored part.
60 A
30 1 10 cm2
3
NUMINO Challenge C1
