This class was created by Brainscape user Irina Soloshenko. Visit their profile to learn more about the creator.

Decks in this class (104)

1.1.1 Understanding Points, Lines, and Planes
Undefined term,
Point,
Line
14  cards
1.1.2 Measuring and Constructing Segments
Coordinate,
Distance,
Length
10  cards
1.1.3 Measuring and Constructing Angles
Angle,
Vertex,
Interior of an angle
14  cards
1.1.4 Pairs of Angles
Adjacent angles,
Linear pairs,
Complementary angles
5  cards
1.2.1 Using Formulas in Geometry
Perimeter p,
Area a,
Base b
15  cards
1.2.2 Midpoint and Distance in the Coordinate Plane
Coordinate plane,
Legs,
Hypotenuse
4  cards
1.2.3 Transformations in the Coordinate Plane
Transformation,
Reflection,
Translation
6  cards
2.1.1 Using Inductive Reasoning to Make Conjectures
Inductive reasoning,
Conjecture,
Counterexample
3  cards
2.1.2 Conditional Statements
Conditional statement,
Hypothesis,
Conclusion
10  cards
2.1.3 Using Deductive Reasoning to Verify Conjectures
Deductive reasoning,
Inductive reasoning,
Law of detachment
4  cards
2.1.4 Biconditional Statements and Definitions
Biconditional statement,
Definition,
Polygon
5  cards
2.2.1 Algebraic Proof
Proof,
Properties of equality,
Distributive property
13  cards
2.2.2 Geometric Proof
Theorem,
Two column proof,
Linear pair theorem
11  cards
2.2.3 Flowchart and Paragraph Proofs
Flowchart proof,
Paragraph proof,
Common segments theorem
5  cards
3.1.1 Planes, Lines, and Angles
Parallel lines,
Perpendicular lines,
Skew lines
9  cards
3.1.2 Angles, Parallel Lines, and Transversals
Corresponding angles postulate,
Alternate interior angles theorem,
Alternate exterior angles theorem
4  cards
3.1.3 Proving that Lines are Parallel
Converse of the corresponding ang...,
Parallel postulate,
Converse of the alternate interio...
5  cards
3.1.4 Properties of Perpendicular Lines
Perpendicular bisector,
Distance from a point to a line,
Linear pair of congruent angles p...
5  cards
3.2.1 Finding the Slope Given Two Points
Rise,
Run,
Slope
4  cards
3.2.2 Slope-Intercept Form
Slope intercept form
1  cards
3.2.3 Point-Slope Form
Point slope form
1  cards
3.2.4 Slopes of Parallel and Perpendicular Lines
Parallel lines,
Perpendicular lines,
Parallel lines theorem
4  cards
4.1.1 Classifying Triangles
Acute triangle,
Equiangular triangle,
Right triangle
7  cards
4.1.2 Angle Relationships in Triangles
Auxiliary line,
Corollary,
Interior of a figure
12  cards
4.1.3 Congruent Triangles
Corresponding angles of polygons,
Corresponding sides of polygons,
Two polygons are congruent polygons
5  cards
4.2.1 Triangle Congruence: SSS and SAS
The property of triangle rigidity,
An included angle,
Side side side sss congruence pos...
4  cards
4.2.2 Triangle Congruence: ASA, AAS, and HL
Included side,
Angle side angle asa congruence p...,
Angle angle side aas congruence t...
4  cards
4.2.3 Triangle Congruence: CPCTC
Cpctc
1  cards
4.2.4 Introduction to Coordinate Proof
Coordinate proof
1  cards
4.2.5 Isosceles and Equilateral Triangles
Legs,
Vertex angle,
Base
8  cards
5.1.1 Perpendicular and Angle Bisector Theorems
Equidistant,
Locus,
Angle bisector
8  cards
5.1.2 Medians, Altitudes, and Midsegments in Triangles
Median of a triangle,
Centroid of the triangle,
Altitude of a triangle
8  cards
5.2.1 Indirect Proof and Inequalities in One Triangle
Indirect proof,
Theorem,
Theorem
5  cards
5.2.2 Inequalities in Two Triangles
Hinge theorem,
Converse of the hinge theorem
2  cards
5.2.3 The Pythagorean Theorem
Pythagorean triple,
Pythagorean theorem,
Converse of the pythagorean theorem
4  cards
5.2.4 Applying Special Right Triangles
45 45 90 triangle theorem,
30 60 90 triangle theorem
2  cards
6.1.1 Properties and Attributes of Polygons
Side of a polygon,
Vertex of the polygon,
Diagonal
8  cards
6.1.2 Properties of Parallelograms
Parallelogram,
Theorem,
Theorem
5  cards
6.1.3 Conditions for Parallelograms
Theorem,
Theorem,
Theorem
5  cards
6.2.1 Properties of Special Parallelograms
Rectangle,
Square,
Rhombus
8  cards
6.2.2 Conditions for Special Parallelograms
Theorem,
Theorem,
Theorem
5  cards
6.2.3 Properties of Kites and Trapezoids
Kite,
Trapezoid,
Base of a trapezoid
13  cards
7.1.1 Ratio and Proportion
Ratio,
Proportion,
Extremes
7  cards
7.1.2 Ratios in Similar Polygons
Figures that are similar,
Similarity ratio,
Two polygons are similar polygons
3  cards
7.1.3 Triangle Similarity: AA, SSS, and SAS
Angle angle similarity postulate,
Side side side similarity theorem,
Side angle side similarity theorem
6  cards
7.2.1 Applying Properties of Similar Triangles
Triangle proportionality theorem,
Converse of the triangle proporti...,
Two transversal proportionality c...
4  cards
7.2.2 Using Proportional Relationships
Indirect measurement,
Scale drawing,
Drawings scale
4  cards
7.2.3 Dilations and Similarity in the Coordinate Plane
Dilation,
Scale factor
2  cards
8.1.1 Similarity in Right Triangles
Geometric mean,
Theorem,
Corollary
4  cards
8.1.2 Trigonometric Ratios
Trigonometric ratio,
Sine of an angle,
Cosine of an angle
7  cards
8.1.3 Solving Right Triangles
Key objectives
1  cards
8.2.1 Angles of Elevation and Depression
Angle of elevation,
Angle of depression
2  cards
8.2.2 Law of Sines and Law of Cosines
The law of sines,
The law of cosines
2  cards
8.2.3 Vectors
Vector,
Component form x y,
Magnitude
7  cards
9.1.1 Developing Formulas for Triangles and Quadrilaterals
The area of a parallelogram with ...,
The area of a triangle with base ...,
The area of a trapezoid with base...
4  cards
9.1.2 Developing Formulas for Circles and Regular Polygons
Circle,
Center of a regular polygon,
Apothem
4  cards
9.1.3 Composite Figures
Composite figure
1  cards
9.2.1 Perimeter and Area in the Coordinate Plane
Key objectives
1  cards
9.2.2 Effects of Changing Dimensions Proportionally
Key objectives
1  cards
9.2.3 Geometric Probability
Geometric probability
1  cards
10.1.1 Solid Geometry
Face,
Edge,
Vertex
10  cards
10.1.2 Representations of Three-Dimensional Figures
Orthographic drawing,
Isometric drawing,
Perspective drawing
4  cards
10.1.3 Formulas in Three Dimensions
Polyhedron,
Space,
Eulers formula
6  cards
10.2.1 Surface Area of Prisms and Cylinders
Lateral face,
Lateral edge,
Lateral faces
15  cards
10.2.2 Surface Area of Pyramids and Cones
Vertex of a pyramid,
Base of a regular pyramid,
Slant height of a regular pyramid
14  cards
10.2.3 Volume of Prisms and Cylinders
Volume,
Volume of a prism,
Volume of a right rectangular prism
5  cards
10.2.4 Volume of Pyramids and Cones
Volume of a pyramid,
Volume of a cone
2  cards
10.2.5 Spheres
Sphere,
Radius of a sphere,
Hemisphere
6  cards
11.1.1 Lines That Intersect Circles
Interior of a circle,
Exterior of a circle,
Chord
13  cards
11.1.2 Arcs and Chords
Central angle,
Arc,
Minor arc
11  cards
11.1.3 Sector Area and Arc Length
Sector of a circle,
Segment of a circle,
Arc length
5  cards
11.2.1 Inscribed Angles
Inscribed angle,
Intercepted arc,
Subtends
7  cards
11.2.2 Angle Relationships in Circles
Theorem,
Theorem,
Theorem
3  cards
11.2.3 Segment Relationships in Circles
Secant segment,
External secant segment,
Tangent segment
6  cards
11.2.4 Circles in the Coordinate Plane
Equation of a circle
1  cards
12.1.1 Reflections
Isometry
1  cards
12.1.2 Translations
Translation
1  cards
12.1.3 Rotations
Rotation
1  cards
12.1.4 Compositions of Transformations
Composition of transformations,
Glide transformation,
Theorem
5  cards
12.2.1 Symmetry
Figure has symmetry,
Figure has line symmetry or refle...,
Line of symmetry
6  cards
12.2.2 Tessellations
Pattern has translation symmetry,
Frieze pattern,
Pattern with glide reflection sym...
6  cards
12.2.3 Dilations
Dilation or similarity transforma...,
Center of dilation,
Dilation with a scale factor grea...
4  cards
13.1.1 Simplifying Expressions
Terms of an expression,
Like terms,
Coefficient
6  cards
13.1.2 Writing and Solving Two-Step Equations
Two step equations
1  cards
13.1.3 Solving Two-Step Inequalities
Two step inequality
1  cards
13.1.4 Writing and Solving Multi-Step Equations
Distributive property
1  cards
13.1.5 Solving Equations with Variables on Both Sides
Lcd lowest common denominator
1  cards
13.1.6 Systems of Equations
System of equations,
Solution of a system of equations
2  cards
13.2.1 The Coordinate Plane
Coordinate plane,
Axes plural of axis,
Points locations
4  cards
13.2.2 Equations, Tables, and Graphs
Graph
1  cards
13.2.3 Graphing Using Intercepts
X intercept,
Y intercept
2  cards
13.3.1 Rates, Ratios, and Proportions
Ratio,
Proportion,
Rate
8  cards
13.3.2 Applications of Proportions
Cross products
1  cards
13.3.3 Finding and Using Percents
Percent
1  cards
13.4.1 Adding and Subtracting Polynomials
Adding polynomials
1  cards
13.4.2 Multiplying and Dividing Monomials
Product of powers property,
Power of a power property,
Power of a product property
5  cards
13.4.3 Multiplying Monomials by Polynomials
Distributive property
1  cards
13.4.4 Multiplying Binomials
Binomial
1  cards
13.4.5 Factoring with the GCF
Factoring with the gcf
1  cards
13.4.6 Factoring x2 + bx + c
Trinomial
1  cards
13.4.7 Factoring ax2 + bx + c
Trinomial
1  cards
13.5.1 Radical Expressions
Radical expression,
Radicand
2  cards
13.5.2 Solving Quadratic Equations by Factoring
Zero product property
1  cards
13.5.3 Solving Quadratic Equations by Using Square Roots
Quadratic equation is
1  cards

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Geometry

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