Areas of Similar Figures
Areas of Similar Figures:
Theorem:
If a : b is the scale factor of two figures then:
The ratio of the perimeters is a : b.
The ratio of the areas is a² : b²
Geometry
Forum reference:
Book page:
http://course-notes.org/Geometry
Area of Sectors and Arc Length
Area of Sectors and Arc Length:
Sector is a region that is bounded by two radii and an arc of the circle.
Area of a sector:
x = central angle:
Arc Length :
Area of a Circle
Area of a Circle:
Area Of Triangles and Parallelograms
Area Of Triangles and Parallelograms
Theorem:
The area of a parallelogram is equal to the product of it base and
height.( A = bh)
Theorem:
Area of Polygons
Area of Polygons:
Area of a polygon means the polygon itself and its interior.
Postulate: The Area of a Square.
The area of a square is the square of the length of a side.
( A = s²)
Postulate: Area Congruence Postulate.
Areas
Areas
Locus
Locus:
A locus is a figure that is a set of all points, and only those points,
that satisfy the one or more conditions that is stated.
eg.
The locus of a set of points in a plane that is 1cm. away from point C.
Concurrent Lines
Concurrent Lines:
Concurrent lines are lines that intersect in one point.
Theorem:
The bisectors of angles of a triangle intersect at a point that is equidistant from the three sides of the triangle.
Theorem:
Constructions
Constructions
Circles and Length of Segments
Circles and Length of Segments:
Theorem:
When two chords intersect inside a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Theorem:
Pages
Need Help?
We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.
For general help, questions, and suggestions, try our dedicated support forums.
If you need to contact the Course-Notes.Org web experience team, please use our contact form.
Need Notes?
While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!
