Geometry Concept Map
Quadrilaterals
Physical properties of a quadrilateral
Must include four sides
Must have at least one pair of parallel lines
Opposing angles must be congruent
Opposing sides are congruent
Bisecting diagonals
Diagonals split shape into two congruent triangles
Different variants of Quadrilaterals
A square is a Quadrilateral with all equal sides and angles
A rectangle is a figure that has equal angles and two unequal sides that are adjacent from each other
Parallelogram : A figure in which the opposite sides and angles are all equal and all lines are parallel
A trapezoid is a figure in which their is one pair of parallel lines
A Rhombus is a parallelogram that has equal opposite angles and 4 equal sides
Lines
Concepts & Properties of lines
A line in geometry has no curves or thickness and extends both ways infinitely
A line segment in geometry is a line that that has a starting and ending point
Different variants and types of lines
A bisecting line is a line that cuts a shape or figure into two equal parts
Parallel lines are two lines that can infinitely go the same direction and never touch
A horizontal line is a line that extends from left to right
A vertical line is a line that extends from top to bottom
A diagonal line is a line that extends from top corner to bottom corner
Triangles
Properties of any triangle
Must have three sides
Must have 3 angles
Different variants of triangles
The sum of all angles is 180 degrees
Perpendicular lines are lines that cross or intersect
2 lines that connect and form a vertex is called an angle
A ray is a line that has a starting point but no ending point
Based on an angle
A Right angled triangle is a triangle with a right angle
an Acute angled triangle is a triangle that has acute angles
An obtuse angled triangle is a triangle that has an obtuse angle
Based on a side
An isosceles triangle is a triangle with 2 equal sides and 2 equal angles
A scalene triangle is a triangle that has no equal sides or angles
An equilateral triangle is a triangle consisting of all equal sides and angles
Angles
Properties and concepts of angles
A space measured in between two intersecting lines
Different variations of angles
complementary angles are angles added together that have a sum of 90 degrees
A right angle is an angle measuring at 90 degrees
an acute angle is an angle measuring under 90 degrees
obtuse angles are angles measuring over 180 degrees
A reflex angle has an angle over 180 degrees
Pythagorean theorem
Square of hypotenuse is equal to sum of other two angles squared
The Pythagorean theorem is that a+ b +c
A transversal is a line intersecting two other lines
Opposite angles
Opposite angles for example is two intersecting lines crossing each other they then become symmetrical therefore making them congruent
Supplementary angles is the sum of two angles adding up to 180 degrees