Shapes and Designs:
Investigation 2: Polygons and Angles
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Practice identifying types of triangles: obtuse, right, isoleses and equilateral. Learn how to find the area of a triange and use the Pythagoran Theorem to find the length of the hypotenuse.

Identify different polygons. Learn to find the perimeter of a rectangle and the area of a rectangle.

Circle: find the circumference and the area.

Review what you've learned about geometry

Angles and Lines


Area and Perimeter


CMP Parents
Shapes and Designs
(University Of Michigan)

Concept with Explanation
Selected Homework from ACE

Shapes and Designs was created to help students to:

Picture Vocabuary



parallel: lines in a plane that never meet

perpendicular: lines at right angles to each other

right angle: an angle of 90 degrees

quadrilateral: four sided polygon

triangle: three sided polygon

pentagon: five sided polygon

hexagon: six sided polygon

heptagon: seven sided polygon

octagon: eight sided polygon

symmetric, reflection symmetry: a shape whose reflection is an identical shape

angle sum:

verical angles: angles that are opposite at an intersection of lines.

complementary: two angles that add up to 90 degrees

supplementary: two angles that add up to 180 degrees

acute: an angle less than 90 degrees

obtuse: an angle greater than 180 degrees

ray: a part of a line starting at a point and including all points to one side.

rectangle: a parallelogram with 4 right angles (including squares)

regular polygon: a polygon with all sides of equal length

rhombus: a quadrilateral with all sides of equal length

right triangle: has one 90 degree or right angle

rotation symmetry: a shape that can be rotated less than 360 degrees and look the same.

scalene triangle: no side lengths are equal

straight angle: 180 degree angle

tiling: aka tesselation: covering a surface with shapes that leave no gaps.