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""Match each description with the correct shape from the box:

a.) ‘I have five lines of symmetry and order 5 rotational symmetry.’
b.) ‘I have no lines of symmetry and order 2 rotational symmetry.’
c.) ‘I have one line of symmetry and order 1 rotational symmetry.’
d.) ‘I have eight lines of symmetry and order 8 rotational symmetry.’
e.) ‘I have no lines of symmetry and order 1 rotational symmetry.’
f.) ‘I have four lines of symmetry and order 4 rotational symmetry.’
g.) ‘I have two lines of symmetry and order 2 rotational symmetry.’

Shapes in the box:

• square
• parallelogram
• rectangle
• scalene triangle
• regular octagon
• regular pentagon
• isosceles triangle""

1 Answer

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Final Answer:

The correct shapes and their corresponding rotational symmetries are:

a.) Square - 5 lines of symmetry and order 5 rotational symmetry b.) Isosceles triangle - no lines of symmetry and order 1 rotational symmetry c.) Rectangle - one line of symmetry and order 1 rotational symmetry d.) Regular octagon - 8 lines of symmetry and order 8 rotational symmetry e.) Scalene triangle - no lines of symmetry and order 1 rotational symmetry f.) Parallelogram - four lines of symmetry and order 4 rotational symmetry g.) Regular pentagon - two lines of symmetry and order 2 rotational symmetry

Step-by-step explanation:

To determine the correct shape and rotational symmetry for each description, we need to analyze the given information carefully.

a.) “I have five lines of symmetry and order 5 rotational symmetry.” - This description fits a square perfectly. A square has five lines of symmetry (horizontally, vertically, and along the diagonals) and order 5 rotational symmetry, which means it looks the same after rotating it 5 times.

b.) “I have no lines of symmetry and order 2 rotational symmetry.” - This description fits an isosceles triangle perfectly. An isosceles triangle has no lines of symmetry, but it has order 2 rotational symmetry, which means it looks the same after rotating it 180 degrees.

c.) “I have one line of symmetry and order 1 rotational symmetry.” - This description fits a rectangle perfectly. A rectangle has one line of symmetry (the vertical line in the middle) and order 1 rotational symmetry, which means it looks the same after rotating it 180 degrees.

d.) “I have eight lines of symmetry and order 8 rotational symmetry.” - This description fits a regular octagon perfectly. A regular octagon has eight lines of symmetry (all the sides and the diagonals) and order 8 rotational symmetry, which means it looks the same after rotating it 8 times.

e.) “I have no lines of symmetry and order 1 rotational symmetry.” - This description fits a scalene triangle perfectly. A scalene triangle has no lines of symmetry, but it has order 1 rotational symmetry, which means it looks the same after rotating it 180 degrees.

f.) “I have four lines of symmetry and order 4 rotational symmetry.” - This description fits a parallelogram perfectly. A parallelogram has four lines of symmetry (the sides and the diagonals) and order 4 rotational symmetry, which means it looks the same after rotating it 4 times.

g.) “I have two lines of symmetry and order 2 rotational symmetry.” - This description fits a regular pentagon perfectly. A regular pentagon has two lines of symmetry (the sides) and order 2 rotational symmetry, which means it looks the same after rotating it 2 times.

In conclusion, the correct shapes and their corresponding rotational symmetries are:

a.) Square - 5 lines of symmetry and order 5 rotational symmetry b.) Isosceles triangle - no lines of symmetry and order 1 rotational symmetry c.) Rectangle - one line of symmetry and order 1 rotational symmetry d.) Regular octagon - 8 lines of symmetry and order 8 rotational symmetry e.) Scalene triangle - no lines of symmetry and order 1 rotational symmetry f.) Parallelogram - four lines of symmetry and order 4 rotational symmetry g.) Regular pentagon - two lines of symmetry and order 2 rotational symmetry

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