1. ## Isometry

What is isometry in high school geometry?

Do you have one or two sample questions?

2. Originally Posted by symmetry
What is isometry in high school geometry?

Do you have one or two sample questions?
An isometry is a function (or a transformation) such that preserves distance.

For example,
A rotation is an isometry.

Becuase if two points are rotated their new image is the same distance are it was before.

3. Originally Posted by ThePerfectHacker
An isometry is a function (or a transformation) such that preserves distance.

For example,
A rotation is an isometry.

Becuase if two points are rotated their new image is the same distance are it was before.
Rotation, Translation and Reflection. IIRC all others Isometries of the plane can be generated by
a composition of these.

RonL

4. Originally Posted by symmetry
What is isometry in high school geometry?

Do you have one or two sample questions?
Isometry is a bijective function (transformation) which transforms figure $F_1$ into figure $F_2$ while preserving congruence of line segments.

Formally, for every two pair of points $(A,B)$ and $(A_1,B_1)$
$I(A) = A_1 \wedge I(B) = B_1 \Rightarrow A_1 B_1 = AB$

5. ## Okay

Good replies.

OReilly, don't get too technical.

Let's keep things simple.

6. Originally Posted by symmetry
Good replies.

OReilly, don't get too technical.

Let's keep things simple.
You couldn't get simpler than that.

You had to learn first functions and congruence in order to learn isometry.

And math isn't simple...

7. ## Yes...

Math is not simple.

You are right, OReilly.