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Resources for Grade ten

Points, lines and segments

How to differentiate lines, line segments and rays

How to determine the distance between two points

How to use the midpoint formula

How to use the Perpendicular Bisector theorem

How to construct the midpoint or the Perpendicular Bisector of a segment

Angles

How to identify complementary, supplementary, adjacent, vertical and congruent angles

How to construct an angle bisector

How to construct a congruent angle

Parallel and perpendicular lines

How to identify parallel,perpendicular and skew lines

How to construct perpendicular and parallel lines

Lines in the coordinate plane

How to graph a linear equation

How to determine equations of lines

How to determine the slope of lines

How to find the distance between a point and a line

How to determine equations of perpendicular and parallel lines

How to determine the distance between two parallel lines

How to slopes of parallel and perpendicular lines

Triangles

What is the angle-sum theorem

What is the exterior angle theorem and inequality

How to identify medians, altitudes, angle bisectors and perpendicular bisectors

What is the triangle inequality theorem

Two-dimensional figures

What are the properties of interior and exterior angles of polygons

How to construct a regular hexagon

Three-dimensional figures

What are the different parts of three-dimensional figures

How to make cross-sections of three-dimensional figures

Congruent figures

How to identify congruent figures

How to understand and use SSS and SAS theorems to prove triangles congruent

How to understand and use ASA and AAS theorem to prove triangles congruents

How to use SSS theorem in the coordinate plane

What is the Hypotenuse-leg theorem

Transformations

How to rotate, translate and reflect

How to classify congruence transformations

Quadrilaterals

How to classify quadrilaterals

What are the properties of trapezoids

What are the properties of rhombuses

What are the properties of kites

What are the properties of parallelograms

Symmetry and similarity

How to count lines of symmetry

How to draw lines of symmetry

How to identify similar figures

What are the similarity rules for triangles

How to understand and use the triangle proportionality theorem

When are two circles similar

How to determine areas of similar figures

Pythagorean theorem

How to use the converse of the Pythagorean theorem

How to use the Pythagorean inequality theorems

Trigonometry

What are the trigonometric functions of complementary angles

How to determine the inverses of trigonometric functions

What are the laws of Sines and Cosines

What are the similar ratios in similar right triangles

How to determine trigonometric ratios cos, sin, tan, cot, sec, cosec

Area and perimeter

How to determine areas of squares, rectangles, parallelograms, trapezoids and triangles

How to determine perimeters of triangles, parallelograms and trapezoids

How to calculate areas and perimeters in a coordinate plane

How to determine area and circumferences of circles

How to use the Heron s formula

How to calculate areas of compound figures

How to calculate the area between two figures

Surface area and volume

How to determine the surface area of prisms and cylinders

How to determine the surface area of pyramids and cones

How to determine the volume of prisms and cylinders

How to determine the volume of pyramids and cones

How to calculate the surface area and volume of similar solids

How to calculate the surface areas and volumes of spheres

Circles

How to calculate an arc measure and an arc length

How to determine the areas of sectors

How to construct a tangent line to a circle

How to construct squares and hexagons inscribed in circles

How to construct the inscribed or the circumscribed circle of a triangle

How to determine the perimeter of polygons with an inscribed circle

What is the difference between arcs and chords

How to determine the center of a circle in the coordinate plane

How to write equations of circles in standard form from graphs

How to write equations of circles in standard form using using properties

How to graph circles

Probability

What is the difference between theoretical and experimental probability

How to determine factorials, permutations and combinations

How to determine the number of outcomes of compound events

How to differentiate dependent and independent events

How to compass directions and vectors

How to determine the magnitude of a vector

How to add and subtract vectors

How to graph a resultant vector using the triangle method

How to graph resultant vector using the parallelogram method