Geometry Beginner Level 1

Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes. These shapes have only 2 dimensions, the length and the width.

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Geometry Level2

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

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Geometry is an essential branch of mathematics, which makes it important for any student to have a detailed, well-rounded knowledge of trigonometry that covers a variety of topics. Geometry is the fourth math course in high school and will guide you through among other things points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area. This Geometry math course is divided into 10 chapters and each chapter is divided into several lessons. Under each lesson you will find theory, examples and video lessons. Talent Academy hopes that you will enjoy studying Geometry online with us!

Sample of some problem with their solution from this courses.

**Pro ** :- Two angles of a triangle measure 30 and 45 degrees. If the side of the triangle opposite the 30-degree angle measures 6√ 2 units, what is the sum of the lengths of the two remaining sides?

**Sol ** ;- Given that two angles of a triangle measure 30 and 45 degrees with side of the triangle opposite the 30-degree angle measures 6√ 2 units, draw a perpendicular line from point B to point D which creates a two right angle triangles. Consider right angle triangle BCD , whose angles at D and B is 90 and 45 respectively. let angle at C be "S", the sum of angles of a triangle is 180, therefore the sum of triangles in triangle BCD is, S+ 45 + 90 =180; S= 45. Triangle BCD is a isosceles right angle triangle, the hypogenous is given as BC = 6$\sqrt{2}$, let CD and DB be length "X" respectively, using Pythagoras theorem we get , CD^2 + BD^2 = BC^2; X^2 +X^2 = (6$\sqrt{2}$)^2; we get X = 6. Now consider right angle triangle ADC , whose angles at D and A is 90 and 30 respectively. let angle at C be "Z", the sum of angles of a triangle is 180, therefore the sum of triangles in triangle ADC is, Z + 30 + 90 =180; Z = 60. Triangle ADC is a right angle triangle, from the previous step we know that length of CD is 6 , extend CD and A till they meet at point P of angle 60, we a equilateral triangle. We see CD + DP = CP = 12, therefore sides of CA and AP are length of 12. Let AD be Q , using Pythagoras theorem in triangle ADC we get , CD^2 + Q^2 = AC^2; 6^2 +Q^2 = (12)^2; we get Q = 6$\sqrt{3}$, therefore the sum of the sides of the triangle ABC is, AB + BC + CA = 18+6*√ 3

**Que ** :- A cylindrical jar with height 8 inches and diameter 6 inches is filled to 75% of its capacity with juice. The juice is then poured into another cylindrical container with a 10 inch diameter and height of 4 inches. To what percent of its capacity is the second jar filled with juice? (Mathcouns Competitions).

**Ans ** ;54 (percent)

From architecture to engineering, trigonometry is widely used in several common careers. Gaining an understanding of trigonometry opens a wide range of doors in the field of mathematics for students interested in continuing their study.

Talent academy makes sure to cover all concepts and has divided the courses based on students interest, students can enroll to the necessary schedule.

Question PDF:https://www.doe.virginia.gov/testing/sol/standards_docs/mathematics/2016/stds/stds-geometry.pdf

Word PDF:https://www.doe.virginia.gov/testing/sol/standards_docs/mathematics/2016/stds/stds-geometry.docx/

Angles and triangles

- Angles and triangles [WB][PDF]
- New Angles and triangles[WB]

Rolling Circle

- Rolling Circle[WB]

Angles and Arcs

- Angles and Arcs[WB]
- Right triangle[WB]

Classification of Triangles

- Classification of Triangles [WB][PDF]

Similar Triangles

- Similar Triangles [WB][PDF]

Pythagorean Theorem

- Pythagorean Theorem [WB][PDF]

Quadrilaterals

- Quadrilaterals [WB][PDF]

Trapezoids

- Trapezoids[WB][PDF]

Parallelogram

- Parallelogram [WB][PDF]

Angle Bisectors and Medians

- Angle Bisectors and Medians [WB][PDF]

Triangular Inequality

- Triangular Inequality [WB][PDF]

Area Method

- Area Method [WB][PDF]

Polygons

- Polygons [WB][PDF]

Clock Angles

- Clock Angles [WB][PDF]

Circles

- Circles [WB][PDF]

Coordinate System

- Coordinate System [WB][PDF]

Lines and Equations

- Lines and Equations [WB][PDF]

Volume

- Volume [WB][PDF]

Angle Basics

- Angle Basics [WB]

Angles in a Polygons

- Angles in a Polygons [WB]

Length and Perimeter

- Length and Perimeter [WB][PDF]

Area

- Area [WB][PDF]

Special Right Triangles

- Special Right Triangles [WB]

Mini Geometry: Circles and triangles

- Right Triangles(WB)
- Circles and Right Triangles(WB)
- Circles and Triangles Revisited(WB)
- More Circles and Right Triangles(WB)
- Circles and Area Revisited(WB)
- Geometry/Auxiliary Lines & Special Right Triangles(WB)
- Geometry/30-60-90 Right Triangles(WB)
- More 30-60-90 Right Triangles(WB)
- Labeling Figures: A Geometry Problem Solving Strategy(WB)
- Trapezoids and Triangles(WB)

Mini Analytic Geometry

- Analytic Geometry(WB)
- More Analytic Geometry(WB)
- Even more Analytic Geometry(WB)

Mini Geometry: Area and Volume

- Area and Volume(WB)
- Relationships Between a Box's Dimensions, Volume and Surface Area(WB)
- Area of Irregular Polygons Reboot(WB)
- Areas of Irregular Convex Polygons(WB)
- Composed and Decomposed Area and Volume(WB)
- Maximum Area of Inscribed Rectangles & Triangles (WB)

Mini Geometry: Similar triangles

- Similar Triangles(WB)
- Tangent Segments & Similar Triangles(WB)
- Similar Triangles and Proportional Reasoning (WB)
- Similarity and Proportional Reasoning(WB)
- Geometric Proportions
- Using Similarity to Solve Geometry Problems (WB)

Mini Geometry: Three Dimensional Figures

- 3-D Geometry (WB)
- Three-Dimensional Figures(WB)

Angle Chasing

- Angle Chasing

Circles

- Circles

Counting

- Counting

Functional Equations

- Functional Equations

Functions and Representations

- Functions and Representations

Mass Point

- Mass Point

Mathematical Principles

- Mathematical Principles

Modular Arithmetic

- Modular Arithmetic

Number Sense

- Number Sense

Polynomials

- Polynomials

Probability and Statistics

- Probability and Statistics

Sequences and Series

- Sequences and Series

Three-Dimensional Geometry

- Three-Dimensional Geometry

Triangles and Polygons

- Triangles and Polygons

Word Problems

- Word Problems