When you want to show that two shapes are congruent, you need to know about rigid transformations.
Rigid transformations are movements that change where a shape is but not its size or shape. They include:
Translations: This means sliding the shape from one place to another.
Rotations: This involves turning the shape around a point.
Reflections: This is like flipping the shape over a line, making it look like a mirror image.
Here’s how you can prove two shapes are congruent:
Identify the Shapes: Start by clearly naming the two shapes you want to compare.
Use Transformations: Pick one of the rigid transformations to change one of the shapes.
For translation, you just slide the shape to see if it matches the other one.
For rotation, you turn the shape one way or the other to line them up.
For reflection, you flip the shape to see if it becomes the same as the other shape.
Look for Congruence: After you perform the transformations, check if the two shapes are exactly the same. If you can place one on top of the other perfectly, then they are congruent!
In simple terms, if you can change one shape so that it looks just like the other through these transformations, you’ve proved they are congruent!
It's a bit like solving a puzzle, and it feels great when everything fits just right!
When you want to show that two shapes are congruent, you need to know about rigid transformations.
Rigid transformations are movements that change where a shape is but not its size or shape. They include:
Translations: This means sliding the shape from one place to another.
Rotations: This involves turning the shape around a point.
Reflections: This is like flipping the shape over a line, making it look like a mirror image.
Here’s how you can prove two shapes are congruent:
Identify the Shapes: Start by clearly naming the two shapes you want to compare.
Use Transformations: Pick one of the rigid transformations to change one of the shapes.
For translation, you just slide the shape to see if it matches the other one.
For rotation, you turn the shape one way or the other to line them up.
For reflection, you flip the shape to see if it becomes the same as the other shape.
Look for Congruence: After you perform the transformations, check if the two shapes are exactly the same. If you can place one on top of the other perfectly, then they are congruent!
In simple terms, if you can change one shape so that it looks just like the other through these transformations, you’ve proved they are congruent!
It's a bit like solving a puzzle, and it feels great when everything fits just right!