Geometry

Geometry is one of the oldest forms of math. Geometry helps us answer questions about the size, shape, position of figures and the properties of space.

Yup provides resources on key geometric concepts, theorems, and proofs. Each topic includes a detailed definition, an example problem and step by step solution.

Geometry Topics

AAS Theorem of Congruence (Angle-Angle-Side) 

Alternate Exterior Angles

Alternate Interior Angles

Area of Rectangles, Squares, Triangles, Parallelograms, Circles, Trapezoids

ASA Theorem of Congruence (Angle-Side-Angle)

Chords, Secants and Tangents

Complementary Angles

Congruent Line Segments

Corresponding Angles

Distance Formula

Exterior Angle Inequality

Exterior Angle Theorem

Find Area of a Figure

Find Measure of an Arc Intercepted by an Angle

Find Perimeter of a Figure

Find Sector Area

Find Volume of a Figure

Hypotenuse-Leg Theorem (HL) of Congruence

Lines, Line Segments, and Rays

Measure an Angle

Midpoint Formula 

Parallel Lines

Perpendicular Bisector Theorem

Perpendicular Lines

Polygon Angle Sum Theorem

Properties of Kites 

Properties of Parallelogram

Properties of Rhombi

Properties of Squares and Rectangles

Properties of Trapezoids

Proving Two Triangles are Similar

Pythagorean Theorem

Radius, Diameter and Circumference

Reflect a Figure Over the X/Y Axis

Right Triangle

SAS Theorem of Congruence (Side-Angle-Side)

SSS Theorem of Congruence (Side-Side-Side)

Supplementary Angles

Surface Area: Prisms, Cylinders, Pyramids, Cones, Spheres

Triangle Angle Sum Theorem

Triangle Congruence (CPCTC)

Triangle Inequality Theorem

Types of Triangles

Vertical Angles

Volume: Prisms, Cylinders, Pyramids, Cones, Spheres

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