Dilation
true or false during a dilation the shape can only shrink
False, this is because dilations can make the shape grow or shrink
what are parallel lines
lines that have the same slope and plane but never intersect
what does congruence mean
congruence means two or more shapes are equal to each other
Unlike congruent figures similar figures have the same shape but different (Blank)
what are sizes?
is a reflection a rigid motion
yes because the shape does not change its sides
during a dilation what doesn't change during the transformation
the angles of the shape doesn't change
if you connected corners of a square with lines would they make a perpendicular lines
yes they would because they would make 4 Right angles
this postulate states if 3 sides of one triangle equal 3 sides of another, they are identical
what is SSS (Side-Side-Side)
In similar polygons. While side lengths are proportional, these measurements remain exactly equal.
what are angles
is a dialation a rigid motion
no because the sides of the shape chnages
how do you find the scale factor
you divide the angles of original shape with the angles of the prime shape
are lines with undefined slopes parallel?
yes they are all parallel
when you determine that two shapes are congruent using a congruence theorem what then establishes that everything else on the shapes are congruent after determining the concurrency theorem
CPCTC
The ratio of the lengths of two corresponding sides of similar figures.
what is scale factor
True or False The rigid motion 180 can map any shape back onto itself
False
to perform a dilation. you need a scale factor and this specific fixed location
what is the center of dilation
what is a perpendicular bisector
a perpendicular bisector cuts a line/side in half at the base it a right angle or 90o angle
In a coordinate plane use this formula to prove 2 segments are congurent
What is the distance formula
This theorem requires only two sets of matching angles to prove triangles are similar
what is AA (Angle Angle)
this specific rigid motion involves "flipping" a figure over a line, creating a mirror image
what is a reflection
if a dilation has a scale factor N where 0<N<1, the image is categorised as this
what is a reduction
what is the formula for a slope
the formula for a slope is m=y2-y1/x2-x1
Describes the parts of 2 congruent triangles that match in the acronym CPCTC
what ware corresponding parts
If the scale factor between two similar figures is K, The Ratio of their areas is this
what is K squared
These two properties are always persevered by any rigid motion
what are distance and angle measure