Unit 9 Flashcards
A proportion is an equation that states that two ratios are _____.
Equal
Angle of _____ symmetry is the smallest angle through which a preimage can be rotated to coincide with its image.
Rotational
A ____ is a repeating pattern that completely covers a plane with no gaps or overlaps.
Tessellation
Similar polygons are polygons whose corresponding _____ are congruent and whose corresponding sides are proportional.
Angles
A translation is a congruent transformation along a vector such that each segment joining a point and its _____ has the same length as the vector and is parallel to the vector.
Image
A _____ reflection is the composition of transformations that results when a translation is followed by a reflection across a line parallel to the translation vector.
Glide
The ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon is called the _____ ratio.
Similarity
The first and last terms of a proportion are called the _____.
Extremes
A dilation is a noncongruent transformation in which the _____, but not the shape of a geometric figure is changed.
Size
_____ of rotational symmetry is the number of times an image can coincide with its preimage as it rotates through 360°.
Order
A translation is a congruent transformation along a vector such that each segment joining a _____ and its image has the same length as the vector and is parallel to the vector.
Point
A _____ is the ratio of any linear measurement of the image to the corresponding measurement of the preimage in a dilation.
Scale factor
A quantity that has both length and direction is called a(n) _____.
Vector
A _____ transformation is a noncongruent transformation in which the points on a given line in a geometric figure remain fixed while other points of the figure are shifted parallel to the line by a distance proportional to their perpendicular distance from the line.
Shear
A _____ is the composition of transformations that results when a translation is followed by a reflection across a line parallel to the translation vector.
Glide Transformation
A _____ is a noncongruent transformation in which the size, but not the shape of a geometric figure is changed.
Dilation
Angle of rotational symmetry is the smallest angle through which a _____ can be rotated to coincide with its image.
Preimage
______ of rotational symmetry is the number of times an image can coincide with its preimage as it rotates through 360°.
Order
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.
AA similarity Postulate
If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
Converse of the (DELTA) Proportionality Theorem
If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
SAS Similarity Theorem
If the measures of the three sides of one triangle are proportional to the measures of the corresponding three sides of another triangle, then the triangles are similar.
SSS Similarity Theorem
If three or more parallel lines intersect two transversals, then they divide the transversals proportionally.
Corollary 1 of the (DELTA)
Proportionality Theorem
A _____ is an equation that states that two ratios are equal.
Proportion
A polygon is similar to itself.
Reflexive
The second and third terms in a proportion are called the _____.
Means
A physical representation of an object to the size of the actual object is called a _____.
Scale model
In a proportion, the product of the means is equal to the product of the extremes.
Means-Extremes
A _____ is a relationship between two similar quantities.
Ratio
The _____ is the ratio of the size of a model of an object to the size of the actual object.
Scale ratio
The first and last terms in a proportion are called the _____.
Extremes
____ polygons are polygons whose corresponding angles are congruent and whose corresponding sides are proportional.
Similarly
