1/56
Looks like no tags are added yet.
Name | Mastery | Learn | Test | Matching | Spaced |
---|
No study sessions yet.
Congruent Triangles
2 Figures (Triangles) are congruent, if 6 parts of 1 triangle are congruent to 6 parts of another triangle.
Collinear
Points in or on a straight line.
Betweenness
A point is between 2 points if and only if the 3 points are collinear.
Bisects
A point (or segment, ray, or line) that divides a segment into 2 congruent segments.
Midpoint (and Formula)
The bisection point is called the midpoint of the segment.
Formula: Mx = x1+x2/2 ; y1+y2/2
Trisection
Trisection points divide segments into 3 congruent segments.
Angle Bisector
The bisector of an angle is the ray that divides the angle into two congruent angles.
Angle Trisection
2 lines/rays divide an angle into 3 congruent angles.
Perpendicularity
If 2 lines/segments are perpendicular, then they form right angles.
Converse of Perpendicularity
If a right angle has been formed, then it has been formed by perpendicular lines/segments.
Complementary Angles
2 angles whose sum is 90 degrees.
Supplementary Angles
2 angles whose sum is 180 degrees.
Adjacent Angles
Angles next to each other that share a common ray.
Linear Pair
2 angles that form a straight line.
Vertical Angles
The angles that are opposite each other.
Scalene Triangle
A triangle with all sides of different lengths.
Isosceles Triangle
A triangle with at two sides of equal length.
Equilateral Triangle
A triangle with all three sides of equal length.
Equiangular Triangle
A triangle in which all three angles are equal.
Are equiangular and equilateral triangles reversible?
YES
Acute Triangle
A triangle where all three angles are less than 90 degrees (all 3 angles are acute in a triangle.)
Right Triangle
A triangle in which one angle measures exactly 90 degrees (Triangle with only 1 right angle.)
Obtuse Triangle
A triangle in which one angle measures more than 90 degrees (Triangle with one obtuse angle).
Perpendicular Bisector
An object (seg, line, ray) that perpendicularly bisects another segment.
Parallelogram
A parallelogram is a quadrilateral in which
2 pairs of opposite sides are parallel.
Rhombus
A rhombus is a parallelogram in which at
least 2 consecutive sides are congruent.
Square
A square is a parallelogram that is both a
rectangle and a rhombus.
Isosceles Trapezoid
Trapezoid where the not parallel sides are congruent
Quadrilateral
4 sided figure
Rectangle
A rectangle is a parallelogram in which at
least 1 angle is a right angle.
Kite
A kite is a quadrilateral in which 2 dis¬
joint pairs of consecutive sides are con¬
gruent.
Trapezoid
A trapezoid is a quadrilateral with exactly
1 pair of parallel sides.
Properties of Parallelogram (5)
The opposite sides are parallel by def.
The opposite sides are congruent
The opposite angles are congruent
The diagonals bisect each other
Any pair of consecutive angles are supplementrary
Properties of Rectangle (3)
All properties of parallelogram apply by def.
All angles are right angles
The diagonals are congruent
Properties of Kite (5)
2 disjoint pairs of consecutive sides are congruent by def.
The diagnols are perpendicular
1 diagonal is the perpendicular bisector of the other
1 of the diagonals bisects a pair of opposite sides
1 pair of opposite angles are congruent
Properties of Rhombus (6)
All properties of a parallelogram apply by def.
All the properties of a kite apply (half properties become full)
All sides are congruent
The diagonals bisect the angles
The diagonals are perpendicular bisectors of each other
The diagonals divide the rhombus into 4 congruent right angles
Properties of Squares (3)
All properties of a rectangle apply by def.
All properties of a rhombus apply by def.
The diagonals form 4 isosceles right triangles
Properties of Isosceles Trapezoids (6)
The legs are congruent by def.
The bases are parallel by def.
The lower base angles are congruent
The upper base angles are congruent
The diagonals are congruent
Any lower base angle is supplementary to any upper base angle
A regular polygon is both _____ and _____.
Equilateral and equiangular
Ratio
The quotient of 2 numbers
Proportion
An equation stating that two or more ratios are equal
Axium…
Postulate
Similar Polygons are polygons in which:
1) The ratios of the measure of corresponding sides are =
2) Corresponding angles are congruent
To enlarge =
To make smaller =
Dilation
Reduction
Dialation
A transformation in which all points of a figure are enlarged or
reduced by a scale factor K, about a center of rotation C such that:
CP′
CP = |K|
If _____________ then the dilation
is called an ___________________________
• If _____________ then the dilation
is called ______________________________
|K| > 1
Enlargement
|K| < 1
Reduction
Arc
Arc is made up of 2 pts. on a circle and all the pts. of the circle needed to connect them on a single path.
Measure
m AB (Arc symbol over AB)
Length
AB (Arc symbol over AB)
Sector of a Circle
Portion bounded by 2 radii and an arc of a circle
Chord
Line segment joining 2 pts. on a circle
Inscribed Angle
An angle formed by 2 chords
Prism Def.
A 3-D solid w/ 2 congruent bases and connecting sides
A rectangular prism has ____ congruent diagnols
4