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Geom Unit 2 Vocab

TermDefinition
Dilation A transformation that changes the size of the figure, but not the shape, based on the ratio given by a scale factor
Scale Factor When a figure is dilated by a scale factor greater than 1, the figure becomes larger. When a figure is dilated by a scale factor less than 1, the figure becomes smaller.
Corresponding Angles and Sides When a figure is transformed under dilation, the corresponding angles between the pre-image and image are equal. Corresponding sides are proportional.
Two Column Proof A series of statements and reasons, often displayed in a chart, that works with given information to the statement that needs to be proven
Paragraph Proof Also uses a series of statements and reasons that work with given information to the statement that needs to be proven, but is presented in paragraph form
Angle-Angle Similarity If two pairs of corresponding angles of the triangles are congruent, then the triangles are similar.
Rigid Motion A transformation of points in space consisting of a sequence of one or more translations, reflections, and/or rotations. Original shape to new shape is unchanged.
Congruent Figures Figures that have the same corresponding side lengths and the same corresponding angle measures as each other.
CPCTC (Corresponding Pairs of Congruent Triangles are Congruent) Two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent.
ASA (Angle-Side-Angle) If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
SSS (Side-Side-Side) If three sides of a triangle are congruent to three sides of another triangle, then the two triangles are congruent.
SAS (Side-Angle-Side) If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
AAS (Angle-Angle-Side) If two angles and a non-included side of a triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Reflexive Property Any value is equal to itself.
Symmetric Property If a = b, then b = a. Also, if segment AB is present, then it is equal to segment BA. AB = BA
Transitive Property If a = b and b = c, then a = c.
Vertical Angle Theorem States that vertical angles are congruent
Vertical Angles A pair of non-adjacent angles formed when two lines intersect
Alternate Interior Angle Theorem If two parallel lines are cut by a transversal, then the alternate interior angles formed by the transversal are congruent.
Alternate Exterior Angle Theorem If two parallel lines are cut by a transversal, then the alternate exterior angles formed by the transversal are congruent.
Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the corresponding angles formed by the transversal are congruent.
Triangle Sum Theorem The sum of the measures of the angles of a triangle is 180 degrees.
Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite of those sides are also congruent.
Triangle Mid-Segment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length.
Angle Bisector An angle bisector is the line or line segment that divides the angle into two equal parts.
Segment Bisector A point, segment, line, or plane that divides a line segment into two equal parts
Created by: ewilkins