Congruence and Similarity
True or False? Similarity is when 2 or more shapes are the same shape, but different sizes.
What is true?
True or False? All transformations change the size of the shape.
What is false?
The transformation that creates a mirror image.
What is reflection?
The formula of the Pythagorean Theorem.
What is a2 + b2 = c2?
The ratio and sequence of numbers that are commonly found among many natural things.
What are the golden ratio and the Fibonacci sequence?
Something that is the same size and shape as another thing.
What is congruent?
The four types of transformations.
What are reflection, rotation, translation, and dilation?
The function of a mirror line (the axis of reflection).
What is providing a line for the image to be reflected over?
The Pythagorean Theorum is nessesary for ________.
What is geometry and trigonometry?
Commonly found at the beach, ______ are often great examples of the golden ratio.
What are seashells?
A congruent shape can be repositioned and reflected but not what?
What is resized?
The transformation that causes the shape to stretch or shrink vertically or horizontally.
What is dilation?
True or false? Symmetry creates an exact copy of an object, that leaves both shape facing the same direction.
What is false?
The Pythagorean Theorum is used for _____.
What is finding the Euclidean distance between two points on a plane?
A flying insect that is commonly used as an example of symmetry.
What is a butterfly?
Required for 2 polygons to be crongruent.
What is an equal number of sides?
The difference between rigid and non-rigid transformations.
What is the intentional preservation or changing of the shape's size?
The shape with the most symmetry lines.
What is a circle?
The ancient Greek mathematician that the Pythagorean Theorem is named after.
Who is Pythagoras?
The petals of these plants are often found to follow the Fibonacci sequence.
What are flowers?
The angle that is ambiguous by itself without any other information.
What is SSA? (Side Side Angle)
The 19th century mathmetician that proposed transformational geometry.
Who is Felix Klien?
The formula for reflection over a coordinate line, y = -x.
What is (x,y) - (-y,-x)?
The other cultures that knew of the Pythagorean Theorem over a thousand years before Pythagoras.
Who are the Babylonians and the Indians?
These winter wonders feature six-fold symmetry and directly align with that of the sacred hexagon found in the Seed of Life.
What is a snowflake?