Congruent Triangles: ASA and AAS Theorems (HSG-SRT.B.5) - We expand to using the angle-side-angle and angle-angle-side theorems.Congruent Triangles: SSS and SAS Theorems (HSG-SRT.B.5) - This is an extensive look at the side-side-side and side-angle-side triangle theorems.Proving Triangle Theorems (HSG-SRT.B.4) - There are four main theorems that we key in on here.Corresponding Angles of Similar of Triangles (HSG-SRT.A.3) - Students learn how identify and use corresponding angles to their advantage.Angle Sum and Difference, Double Angle and Half Angle Formulas (HSG-SRT.A.2) - We explore how to use known measures in a triangle to your advantage.Similarity Transformations (HSG-SRT.A.2) - Students explore various types of transformations on similar figures.Dilations and Scale Factors (HSG-SRT.A.1b) - Students explore expansions and compressions.Dilations and Parallel Lines (HSG-SRT.A.1a) - We look at how the use of parallel lines can help us better understand the nature of a dilation.Similarity, Right Triangles, & Trigonometry Inscribing Shapes in Circles (HSG-CO.D.13) - Students are a little blown away by this concept, when they first see.Making Perpendicular and Parallel Lines (SG-CO.D.12) - You will learn how to do this physically and in theory as well.Making Bisectors of Angles and Lines (HSG-CO.D.12) - We learn how to cut an object or line into two equal parts with bisectors.Proving Theorems of Parallelograms (HSG-CO.C.11) - There are really four different tendencies we focus on here.Triangle Proofs (HSG-CO.C.10) - In most cases we are working to prove congruency, but not always.Lines and Angles Formed by Transversals (HSG-CO.C.9) - In most cases transversals are only helpful if the pas through parallel lines or form a perpendicular.Geometric Proofs On Lines and Angles (HSG-CO.C.9) - We look at a wide variety of theorems that you can use to write and create proofs.Proving Triangle Congruence (HSG-CO.B.8) - This leads us into proof writing territory.Rigid Motions and Congruent Triangles (HSG-CO.B.7) - The focus here is on our three-sided friends.Rigid Motions to Transform Figures (HSG-CO.B.6) - A rigid motion, when referring to figures, is when all the points in a figure are moved.Drawing Transformed Figures (HSG-CO.A.5) - Given a specific set of directions students will create new figures.Rotations, Reflections, and Translations of Geometric Shapes (HSG-CO.A.4) - We look at spinning, mirror images, and basic movements of shapes.Graphing Complex Transformations (HSG-CO.A.4) - These are geometric movements that can’t be summed up that easy.Geometric Transformations within a Plane (HSG-CO.A.2) - We look at transformations that can be tracked easier through the use of the coordinate plane.If lines are perpendicular to one another it gives us a solid right angle to work off of. Parallel and Perpendicular Lines (HSG-CO.A.1) - If a pair of lines are known to be parallel it helps us find angles and measures that bisect them both.Basic Geometry Definitions (HSG-CO.A.1) - Students learn the ground floor of geometric shapes and movements.The topics below are filled with geometry worksheets and lessons that are will help prepare your students. Don't forget Geometry Math Posters make great visuals for your classroom. Geometry under most curriculums is a nice mix of relevant real-world applications with a sprinkle of algebra and elementary trigonometry. When people ask me my thoughts of geometry I always say, "It's the most useful math in the world!" If you use this type of math on a daily basis, as a grown-up, you must have a very accomplished career. Geographic Information Systems - Geometry is also a very useful tool when it comes to calculating the positions of GPS, which is measured through latitudes and longitudes. Using lines and angles to perfect figures, symmetry, and much more requires the use of geometry. Just like that, geometry is used in the engineering of various buildings with different structures and heights.Īstronomy - One of the major uses of geometry is in mapping the positions of stars and planets and the movements of various celestial bodies.Īrt - Geometry is quite useful when it comes to art. Technology - Geometry comes in handy in various applied fields such as robotics, computers, and video games.Īrchitecture - One of the best examples in the architectural field is the staircases that are built in our homes. So how is geometry used in the real world? Let’s take a look. So geometry consists of a lot of lines and shapes, and it helps to find the lengths, volumes, and areas of various shapes. Why? Because on the whole, it is concerned with the properties of space and figures. One of the very important aspects of mathematics, Geometry is derived from the Greek words which mean Earth’s measurements. What is geometry used for in the real world?
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