Question

In the set of symmetries of an equilateral triangle, how many of the six elements are...

In the set of symmetries of an equilateral triangle, how many of the six elements are their own inverses?

Homework Answers

Answer #1

Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let G be the group of symmetries of an equilateral triangle. Recall that G has 6...
Let G be the group of symmetries of an equilateral triangle. Recall that G has 6 elements: the identity symmetry e, two nontrivial rotations, and three flips. Let r be be a rotation 120o counter-clockwise, so that the two nontrivial rotations in G are r and r2. To keep track of the flips, let A be the lower left vertex of the triangle, B the top vertex, and C the lower right vertex of the triangle; and write fa, fb,...
Describe the epidemiologic triangle and explain the three elements of the triangle and how they are...
Describe the epidemiologic triangle and explain the three elements of the triangle and how they are related in case of an infectious disease using your own example.
Group Theory Question: Show that if a finite group G with 6 elements is not abelian,...
Group Theory Question: Show that if a finite group G with 6 elements is not abelian, then it must be the group of symmetries of an equilateral triangle. Can one have a similar statement for a finite group G of eight elements?
How many reflection symmetries does a thirteen pointed star​ have? How many rotational symmetries does a...
How many reflection symmetries does a thirteen pointed star​ have? How many rotational symmetries does a thirteen-pointed star​ have?
how do i circumscribe an equilateral triangle about a circle?
how do i circumscribe an equilateral triangle about a circle?
How many silver atoms are in a single silver nanoprism with the shape of an equilateral...
How many silver atoms are in a single silver nanoprism with the shape of an equilateral triangle, with an edge length of 40 nm and a thickness of 5 nm? The density of silver is 10.5 g/cm3.
How many silver atoms are in a single silver nanoprism with the shape of an equilateral...
How many silver atoms are in a single silver nanoprism with the shape of an equilateral triangle, with an edge length of 40 nm and a thickness of 5 nm? The density of silver is 10.5 g/cm3.
How many onto functions are there from a set with m elements to one with n...
How many onto functions are there from a set with m elements to one with n elements?
A water trough is 9 feet long, and its cross section is an equilateral triangle with...
A water trough is 9 feet long, and its cross section is an equilateral triangle with sides 4 feet long. Water is pumped into the trough at a rate of 2 cubic feet per second. How fast is the water level rising when the depth of the water is 1/2 foot? ( Hint: First, what is the height h of an equilateral triangle of side length s? Next, what is the area of an equilateral triangle in terms of the...
From a set of n elements, how many subsets with at least 5 element can be...
From a set of n elements, how many subsets with at least 5 element can be formed?