This class was created by Brainscape user Eric Chmiel. Visit their profile to learn more about the creator.
By:
Eric Chmiel
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Decks in this class (55)
1.4 Introduction
Distance formula,
Midpoint of a segment,
Midpoint formula
3
cards
2.1 Exploring Patterns
Adjacent angles,
Line segment,
Ray
12
cards
2.2 Structure of Geometry
Segment addition postulate,
Angle addition postulate,
Theorem
5
cards
2.3 Segment and Angle Relationships
Congruent segments,
Congruent angles,
Midpoint
7
cards
2.4 Conditional Statements
Conditional statement,
Through any two distinct points,
A line contains
7
cards
2.5 Reasoning with Properties
Properties of equality,
Addition property of equality,
Subtraction property of equality
13
cards
2.6 Deductive Reasoning
Vertical angles,
Linear pair,
Complementary angles
8
cards
3.1 Lines and Planes
Parallel lines,
Intersecting lines,
Oblique lines
6
cards
3.2 Connection to Algebra
If two distinct lines intersect,
Parallel postulate,
Perpendicular postulate
3
cards
3.4 Styles of Proof
If two lines are perpendicular,
All right angles are,
If two lines intersect to form a ...
3
cards
3.5 Properties of Parallel Lines
Transversal,
Corresponding angles,
Alternate interior angles
10
cards
3.6 Proving Lines are Parallel
Corresponding angles converse pos...,
Alternate interior angles convers...,
Consecutive interior angles conve...
4
cards
4.1 Congruent Triangles
Congruent triangles,
Equilateral triangles,
Isosceles triangle
15
cards
4.2 Angles of a Triangle
Interior angle,
Exterior angle,
Triangle sum theorem
7
cards
4.3 Proving that Triangles are Congruent
Side side side sss congruence pos...,
Side angle side sas congruence po...
2
cards
4.4 More Ways to Prove Triangles are Congruent
Angle side angle asa congruence p...,
Angle angle side aas congruence t...
2
cards
4.6 Isoceles and Right Triangles
Base angles,
Base angles theorem,
If two angles of a triangle are c...
6
cards
4.5 Using Congruent Triangles
Cpctc
1
cards
5.1 Exploring Parts of Triangles
Perpendicular bisector of a segment,
Perpendicular bisector theorem,
Perpendicular bisector converse
6
cards
5.2 Special Segments of Triangles
Perpendicular bisector of a triangle,
Angle bisector of a triangle,
Median
8
cards
5.3 Midsegment Theorem
Midsegment,
Midsegment theorem
2
cards
5.4 Inequalities in One Triangle
If one side of a triangle is long...,
If one angle of a triangle is lar...,
Triangle inequality theorem
3
cards
Inequalities in Two Triangles
Hinge theorem,
Hinge theorem converse
2
cards
6.1 Exploring Polygons
Polygon,
Convex polygon,
Concave polygon
16
cards
6.2 Angles Of a Polygon
Polygon interior angles theorem,
Corollary to polygon interior ang...,
Polygon exterior angles theorem
4
cards
6.3 Properties of Parallelograms
Parallelogram,
If a quadrilateral is a parallelo...,
If a quadrilateral is a parallelo...
5
cards
6.4 Proving Quads are PGrams
If both pairs of opposite sides o...,
If both pairs of opposite angles ...,
If one angle of a quadrilateral i...
5
cards
6.5 Special Parallelograms
Rhombus,
Rectangle,
Square
8
cards
6.6 Trapezoids
Trapezoid,
Bases of a trapezoid,
Legs of a trapezoid
11
cards
8.1/8.2
Ratio,
Proportions,
Cross product property
7
cards
8.3
Similar polygons,
Scale factor,
If two polygons are similar then
3
cards
8.4
Angle angle similarity postulate
1
cards
8.5
Sss similarity theorem,
Sas similarity theorem
2
cards
8.6
Triangle proportionality theorem,
Triangle proportionality converse,
If three parallel lines intersect...
4
cards
9.1 Right Triangles
If the altitude is drawn to the h...,
In a right triangle the length of...,
In a right triangle the altitude ...
3
cards
9.2 Pythagorean Theorem
Pythagorean theorem,
Pythagorean triple
2
cards
9.3 Converse of the Pythagorean Theorem
Converse of the pythagorean theorem,
If the square of the length of th...,
If the square of the length of th...
3
cards
10.1 Circles
Circle,
Interior of a circle,
Exterior of circle
15
cards
10.2 Properties of Tangents
If a line is tangent to a circle ...,
In a plane if a line is perpendic...,
If two segments from the same ext...
5
cards
10.3 Central Angles and Arcs
Central angle,
Arc,
Minor arc
11
cards
10.4 Arcs and Chords
Thm 106,
Thm 105,
Thm 107
4
cards
10.5 Inscribed Angles
Thm 109,
Inscribed angle,
Thm 1010
5
cards
10.6 Other Angle Relationships
Thm 1014,
Thm 1013,
Thm 1015
3
cards
11.1 Area/Perimeter
Linear measurement,
Perimeter of a polygon,
Area of a polygon
7
cards
11.2 Area of Pgrams & Triangles
Area of a pgram thm,
Corresponding height,
Area of a triangle thm
3
cards
11.3 Areas of Other Quads
Thm 115,
Area of a trapezoid theorem,
Kite
3
cards
11.4 Area of Regular Polygons
Center of a regular polygon,
Area of an equilateral triangle t...,
Radius of a regular polygon
6
cards
11.5 Circumference of Circles
Circumference of a circle thm,
Circumference of a circle,
Arc length
4
cards
11.6 Area of Circles
Sector of a circle,
Area of a circle thm,
Area of a sector thm
3
cards
12.1 Solids
Faces of a polyhedron,
Polyhedron,
Edge of a polyhedron
16
cards
12.2 Surface Area of Prisms and Cylinders
Right prism,
Prism,
Oblique prism
8
cards
12.4 Volume of Cylinders
Volume of a cube postulate,
Volume,
Volume of a prism cylinder thm
3
cards
12.3 Surface Area of Pyramids and Cones
Regular pyramid,
Pyramid,
Slant height of a regular pyramid
7
cards
12.5 Volume of Pyramids and Cones
Volume of a cone thm,
Volume of a pyramid thm
2
cards
12.7 Similar Solids
Scale factor of one solid to another,
Similar solids,
Thm 1213
3
cards
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