Welcome to THE Ultimate Guide to Geometry! Click here to begin! Be sure to print copies of your scores for each review you complete.

Click on a topic to further your exploration. Triangles Polygons Almost Done! Click Here! Quadrilateral Geometric Ideas

What do you think a polygon is? What is a polygon? Polygons Not Polygons In your own words, What do you think a polygon is?

Definition of a Polygon A closed plane figure made up of at least 3 line segments.

Regular Polygons Regular Polygons are polygons where all side lengths and all angles are the same! Regular Not Regular

Graphic Organizer Name of Polygon Number of Sides Triangle 3 Quadrilateral 4 Pentagon 5 Hexagon 6 Octagon 8 Decagon 10 Polygon Quiz

Triangle A triangle has three sides and three angles.

Quadrilateral A quadrilateral has four sides and four angles.

Pentagon A pentagon has five sides and five angles.

Hexagon A hexagon has six sides and six angles.

Octagon An octagon has eight sides and eight angles.

Decagon A decagon has ten sides and ten angles.

Click here to get started! Polygon Quiz Click here to get started!

What is the name of this polygon? Hexagon Decagon Octagon

What is the name of the YELLOW polygon in the center? Hexagon Heptagon Octagon

What is the name of this polygon? Triangle Regular Polygon Quadrilateral

What is the name of this polygon? Diamond Decagon Pentagon

What is the name of this polygon? Click here to answer.

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Triangles Triangles are polygons with three sides and three angles.

Triangle Characteristics The sum of the interior angles of any triangle will ALWAYS equal 180°.

Classifying Triangles There are two ways of classifying triangles. Angles Sides Equiangular Triangle Equilateral Triangle Acute Triangle Isosceles Triangle Right Triangle Scalene Triangle Obtuse Triangle Triangle Quiz

Equiangular Triangle An equiangular triangle has all equal angles. Every triangle adds up to 180° and a triangle will always have 3 angles, therefore we know each angle of an equiangular triangle measures to be 60°.

Acute Triangle An acute triangle has all acute angles. *Remember: Acute angles measure between 0° and 90°*

Right Triangle A right triangle has ONLY ONE right angle. *Remember: Right angles are EXACTLY 90°*

Obtuse Triangle An obtuse triangle has ONLY ONE obtuse angle. *Remember: Obtuse angles are between 90° and 180°*

Equilateral Triangle An equilateral triangle has side lengths with all the same measure. *Important note: Equiangular triangles are ALWAYS equilateral triangles. The converse is also true. *

Isosceles Triangle An isosceles triangle has AT LEAST two side lengths equal. *Important note: Equilateral triangles are ALWAYS isosceles*

Scalene Triangle A scalene triangle has NO side lengths equal.

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True or False All isosceles triangles are equilateral triangles. False

Triangles What is the sum of the interior angles of a triangle? 270° 180° 90° Not Enough Information

Right Triangles In any right triangle, what are the lengths called that form the 90° angle? Hypotenuse Legs Arms

Click here to type a description! Short Answer How many equal side lengths does a scalene triangle have? Click here to type a description!

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How do you represent basic geometric ideas? Points, lines, line segments, and rays are basic geometric concepts. Artists, engineers, and architects use these concepts in developing buildings and structures.

VOCABULARY click on the key term you wish to explore point line line segment and midpoint plane ray parallel lines intersecting lines perpendicular lines Once you have checked out each of the key terms click here for a review!

A point is an exact location in space. What you draw What you say What you write . G “point G” G or Point G

LINE A line is a straight path of points that goes on forever in two directions. What you draw What you say What you write B C “Line BC” BC or CB

RAY A ray is part of a line. It has one endpoint and extends forever in only one direction. What you draw What you say What you write J K “ray JK” JK

LINE SEGMENT and MIDPOINT A line segment is a part of a line. It has two endpoints. Its midpoint is halfway between the endpoints. What you draw What you say What you write F T N midpoint “Line segment TN” TN or NT

A plane is an endless flat surface. What you draw What you say What you write “plane LMN” LMN M N L

Parallel Lines Parallel lines never cross and stay the same distance apart. What you draw What you say What you write “Line AD is parallel to line VW.” AD VW D A W V

INTERSECTING LINES Intersecting lines pass through the same point. What you draw What you say What you write “Line PE intersects line QC” PE intersects QC P C Q E

PERPENDICULAR LINES Perpendicular lines are intersecting lines that form square corners. What you draw What you say What you write “Line RS is perpendicular to line FH” RS FH R F H S

Click here to start the review! Let’s Review! Now that you just reviewed the basic concepts of geometry, let’s test your knowledge. Click here to start the review!

Which point, in the diagram below, does not intersect two lines. Question One Which point, in the diagram below, does not intersect two lines. H M W G M H G

Which expression below represents a ray? Question Two Which expression below represents a ray? MH WM HW

Question Three The diagram below shows an example of what kind of lines? J Click here to submit your answer M P D

What type of lines are shown below? Question Four What type of lines are shown below? F E H Rays Perpendicular Parallel Y

Question Five What is the midpoint on the line show below? T Q R Click here to submit your answer.

The picture below is an example of which of the following? Question Six The picture below is an example of which of the following? M C line segment line ray

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How do you classify quadrilaterals? Quadrilaterals can be classified by their angles or pairs of sides. A quadrilateral is any polygon with four sides. The sum of the measures of the angles of a quadrilateral is 360.

Click on a key term to find out more about it! Information Page CHECK IT OUT! Click here for access to an interactive webpage that lets you draw your own quadrilateral. Vocabulary Click on a key term to find out more about it! parallelogram rectangle square rhombus trapezoid Once you have visited each term, click here for your review!

PARALLELOGRAM A quadrilateral with both pairs of opposite sides parallel and equal in length.

A parallelogram with four right angles. RECTANGLE A parallelogram with four right angles.

A rectangle with all sides the same length. SQUARE A rectangle with all sides the same length.

A parallelogram with all sides the same length. RHOMBUS A parallelogram with all sides the same length.

A quadrilateral with only one pair of parallel sides. TRAPEZOID A quadrilateral with only one pair of parallel sides.

Use this as a review of your knowledge of QUADRILATERALS! Good Luck! START HERE!

How many sides make up a quadrilateral? Question One How many sides make up a quadrilateral? 3 5 4

What is the sum of the angles of the following quadrilateral? Question Two What is the sum of the angles of the following quadrilateral? SQUARE 270 90 360

What is the name of the following quadrilateral? Question Three What is the name of the following quadrilateral? Rhombus Hexagon Trapezoid

Question Four The windows on this building are examples of what kind of quadrilateral? Rhombus Rectangle Trapezoid

Question Five Name the quadrilateral shown below. Click here to submit your answer.

Click here to submit your answer. Question Six The sum of the measures of the angles of a quadrilateral is 360 degrees. Find the missing angle measure. 360 70 135 65 ? Click here to submit your answer.

FINISHED. You have now completed the QUADRILATERAL REVIEW FINISHED! You have now completed the QUADRILATERAL REVIEW! Click on the button below for a printable score sheet. CLICK HERE

CONGRATULATIONS! You have completed THE Ultimate Guide to Geometry! Look for geometric figures and ideas in your life!