1
Q
Theorem
A
If one pair of opposite sides of a quadrilateral is parallel and congruent, then the quadrilateral is a parallelogram.
2
Q
Theorem
A
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
3
Q
Theorem
A
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
4
Q
Theorem
A
If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.
5
Q
Theorem
A
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Geometry
flashcards
Decks in class (104)
# Cards
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1.1.1 Understanding Points, Lines, and Planes14
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1.1.2 Measuring and Constructing Segments10
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1.1.3 Measuring and Constructing Angles14
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1.1.4 Pairs of Angles5
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1.2.1 Using Formulas in Geometry15
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1.2.2 Midpoint and Distance in the Coordinate Plane4
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1.2.3 Transformations in the Coordinate Plane6
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2.1.1 Using Inductive Reasoning to Make Conjectures3
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2.1.2 Conditional Statements10
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2.1.3 Using Deductive Reasoning to Verify Conjectures4
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2.1.4 Biconditional Statements and Definitions5
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2.2.1 Algebraic Proof13
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2.2.2 Geometric Proof11
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2.2.3 Flowchart and Paragraph Proofs5
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3.1.1 Planes, Lines, and Angles9
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3.1.2 Angles, Parallel Lines, and Transversals4
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3.1.3 Proving that Lines are Parallel5
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3.1.4 Properties of Perpendicular Lines5
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3.2.1 Finding the Slope Given Two Points4
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3.2.2 Slope-Intercept Form1
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3.2.3 Point-Slope Form1
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3.2.4 Slopes of Parallel and Perpendicular Lines4
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4.1.1 Classifying Triangles7
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4.1.2 Angle Relationships in Triangles12
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4.1.3 Congruent Triangles5
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4.2.1 Triangle Congruence: SSS and SAS4
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4.2.2 Triangle Congruence: ASA, AAS, and HL4
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4.2.3 Triangle Congruence: CPCTC1
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4.2.4 Introduction to Coordinate Proof1
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4.2.5 Isosceles and Equilateral Triangles8
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5.1.1 Perpendicular and Angle Bisector Theorems8
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5.1.2 Medians, Altitudes, and Midsegments in Triangles8
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5.2.1 Indirect Proof and Inequalities in One Triangle5
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5.2.2 Inequalities in Two Triangles2
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5.2.3 The Pythagorean Theorem4
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5.2.4 Applying Special Right Triangles2
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6.1.1 Properties and Attributes of Polygons8
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6.1.2 Properties of Parallelograms5
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6.1.3 Conditions for Parallelograms5
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6.2.1 Properties of Special Parallelograms8
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6.2.2 Conditions for Special Parallelograms5
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6.2.3 Properties of Kites and Trapezoids13
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7.1.1 Ratio and Proportion7
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7.1.2 Ratios in Similar Polygons3
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7.1.3 Triangle Similarity: AA, SSS, and SAS6
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7.2.1 Applying Properties of Similar Triangles4
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7.2.2 Using Proportional Relationships4
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7.2.3 Dilations and Similarity in the Coordinate Plane2
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8.1.1 Similarity in Right Triangles4
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8.1.2 Trigonometric Ratios7
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8.1.3 Solving Right Triangles1
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8.2.1 Angles of Elevation and Depression2
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8.2.2 Law of Sines and Law of Cosines2
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8.2.3 Vectors7
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9.1.1 Developing Formulas for Triangles and Quadrilaterals4
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9.1.2 Developing Formulas for Circles and Regular Polygons4
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9.1.3 Composite Figures1
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9.2.1 Perimeter and Area in the Coordinate Plane1
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9.2.2 Effects of Changing Dimensions Proportionally1
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9.2.3 Geometric Probability1
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10.1.1 Solid Geometry10
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10.1.2 Representations of Three-Dimensional Figures4
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10.1.3 Formulas in Three Dimensions6
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10.2.1 Surface Area of Prisms and Cylinders15
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10.2.2 Surface Area of Pyramids and Cones14
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10.2.3 Volume of Prisms and Cylinders5
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10.2.4 Volume of Pyramids and Cones2
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10.2.5 Spheres6
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11.1.1 Lines That Intersect Circles13
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11.1.2 Arcs and Chords11
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11.1.3 Sector Area and Arc Length5
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11.2.1 Inscribed Angles7
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11.2.2 Angle Relationships in Circles3
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11.2.3 Segment Relationships in Circles6
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11.2.4 Circles in the Coordinate Plane1
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12.1.1 Reflections1
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12.1.2 Translations1
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12.1.3 Rotations1
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12.1.4 Compositions of Transformations5
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12.2.1 Symmetry6
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12.2.2 Tessellations6
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12.2.3 Dilations4
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13.1.1 Simplifying Expressions6
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13.1.2 Writing and Solving Two-Step Equations1
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13.1.3 Solving Two-Step Inequalities1
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13.1.4 Writing and Solving Multi-Step Equations1
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13.1.5 Solving Equations with Variables on Both Sides1
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13.1.6 Systems of Equations2
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13.2.1 The Coordinate Plane4
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13.2.2 Equations, Tables, and Graphs1
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13.2.3 Graphing Using Intercepts2
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13.3.1 Rates, Ratios, and Proportions8
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13.3.2 Applications of Proportions1
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13.3.3 Finding and Using Percents1
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13.4.1 Adding and Subtracting Polynomials1
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13.4.2 Multiplying and Dividing Monomials5
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13.4.3 Multiplying Monomials by Polynomials1
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13.4.4 Multiplying Binomials1
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13.4.5 Factoring with the GCF1
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13.4.6 Factoring x2 + bx + c1
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13.4.7 Factoring ax2 + bx + c1
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13.5.1 Radical Expressions2
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13.5.2 Solving Quadratic Equations by Factoring1
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13.5.3 Solving Quadratic Equations by Using Square Roots1
