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How Do You Prove the Pythagorean Theorem?
Why Should You Learn About Planar Figures?
What Are Edges, Vertices and Angles?
What Are Acute, Obtuse and Right Angles?
What Are Parallel lines?
What is a perpendicular line?
What Is a Translation in the Coordinate Plane?
How Do You Rotate a Polygon 90° about the Origin?
How Do You Rotate a Polygon 180° about the Origin?
What Is a Rotation in the Coordinate Plane?
How Do You Rotate a Point 270° about the Origin?
How Do You Rotate a Point 180° about the Origin?
What Is a Reflection in the Coordinate Plane?
How Do You Reflect a Polygon over the x or y-axis?
How Do You Reflect a Polygon over a 45-Degree Diagonal Line?
How Do You Calculate the Coordinates of a Translated Polygon?
How Do You Calculate the Original Coordinates of a Translated Polygon?
What Is a Dilation In the Coordinate Plane?
How Do You Calculate the Scale Factor of a Dilation?
How Do You Find the Center of Dilation?
How Do You Dilate a Polygon With the Origin as the Center of Dilation?
How Do You Dilate a Polygon When the Origin Is Not the Center of Dilation?
What are rigid motions?
How can you use rigid motions to show if two figures are congruent?
What Is Congruence?
What Are Congruent Triangles?
What Is the AAS Congruence Rule?
What Is the ASA Congruence Rule?
What Is the SAS Congruence Rule?
How Does the AAS, ASA and SAS Congruence rules follow the terms of rigid motions?
How do you prove that vertical angles are congruent?
How do you prove that angles are congruent when a transveral crosses parallel lines?
How do you prove that alternate interior angles are congruent?
How do you prove that corresponding angles are congruent
How do you prove that points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints?
How do you prove that the interior angles of a triangle sum to 180 degrees?
How do you prove that base angles of isosceles triangles are congruent?
How do you prove that the segment joining midpoints of two sides of a triangle is parallel to the third side, and half the lengh?
How do you prove that the medians of a triangle meet at a point?
How do you prove that opposite sides of a parallelogram are congruent?
How do you prove that opposite angles of a parallelogram are congruent?
How do you prove taht the diagonals of a parallelogram bisect each other?
How do you prove taht rectangles are parallelograms with congruent diagonals?
How to Construct Two Parallel Lines
Constructing a 60°, 30° or 15° Angle
Constructing a 90°, 45° or 22.5° Angle
Steps to construct a parallel line through a point
Construction of Larger Figures
Examples of Larger Constructions
What is the Law of Sines?
What is the Law of Cosines?
How do you prove that all circles are similar?
How do you show by similarity that the length of the arc intercepted by an angle is proportional to the radius?
How do you derive the equation of a hyperbola given the foci?
How Do You Calculate the Length of a Circular Arc?
How do you construct the inscribed cirle of a triangle?
How do you define the radian measure of the angle as the constant of proportionality?
What are dissection arguments in geometry?
What is Cavalieri's principle?
How do you give informal arguments for the formula for the circumference of a circle?
How do you give informal arguments for the formula of volume of a cylinder?
How do you give informal argument using Cavalieri's principle for the formula for the volume of a pyramid?
How do you use the formulas for cylinders, pyramids, cones and spheres to solve problems?