Geometry: Plane and Solid Shapes

Coordinate Geometry = Study of geometry using a coordinate plane Constructions = Creating geometric figures with a compass and straightedge Similarity = Figures having the same shape but not necessarily the same size Trigonometry = Relationships between angles and sides of triangles

Slope = Critical for understanding the steepness of a line Angle Bisector = Construction used to divide an angle into two equal parts Scale Factor = Ratio relating the corresponding sides of similar figures Sine, Cosine, Tangent = Trigonometric functions used in right triangles

Prisms = Three-dimensional shapes with two parallel bases Pyramids = Three-dimensional shapes with a polygonal base and a point Cones = Three-dimensional shapes with a circular base tapering to a point Spheres = Three-dimensional shapes that are perfectly round and symmetrical

<p>Volume of a Prism = Base area multiplied by height Surface Area of a Sphere = Calculated using the formula $4 ext{π}r^2$ Area of a Triangle = Calculated using the formula $rac{1}{2} imes base imes height$ Circumference of a Circle = Calculated using the formula $2 ext{π}r$</p> Signup and view all the answers

<p>Distance Formula = Used to find the distance between two points in the coordinate plane Perpendicular Bisector = A line that divides another line segment into two equal parts at a right angle Corresponding Sides = Sides of similar figures that are in proportion Cross-Sections = Shapes formed by cutting through a three-dimensional object</p> Signup and view all the answers

<p>Plane Geometry = Focuses on two-dimensional shapes Solid Geometry = Examines three-dimensional objects Transformations = Involves flips, slides, and turns Circles = Defined by a center and radius</p> Signup and view all the answers

<p>Acute Angle = Measures less than 90 degrees Right Angle = Measures exactly 90 degrees Obtuse Angle = Measures more than 90 degrees but less than 180 degrees Straight Angle = Measures exactly 180 degrees</p> Signup and view all the answers

<p>Equilateral Triangle = All sides are equal Scalene Triangle = All sides are different Right-angled Triangle = One angle is exactly 90 degrees Acute Triangle = All angles are less than 90 degrees</p> Signup and view all the answers

<p>Square = Four equal sides and four right angles Rectangle = Opposite sides are equal and has four right angles Rhombus = Opposite sides are parallel and all sides are equal Trapezium = At least one pair of parallel sides</p> Signup and view all the answers

<p>Circumference = Circle Surface Area = Solid Geometry Area of Square = Plane Geometry Volume = Three-dimensional shapes</p> Signup and view all the answers

<p>Reflection = Flips a shape over a line Rotation = Turns a shape around a point Translation = Slides a shape in a straight line Dilation = Enlarges or shrinks a shape</p> Signup and view all the answers

<p>Sum of angles = Always equals 180 degrees Pythagorean theorem = Applies to right-angled triangles Isosceles triangle = Has at least two equal sides Scalene triangle = No sides are equal</p> Signup and view all the answers

<p>Radius = Distance from the center to any point on the circle Diameter = Twice the radius Circumference = The distance around the circle Central Angle = Angle with its vertex at the center of the circle</p> Signup and view all the answers