Unit 3: Geometry

Unit 3: Geometry

• this section contains information that students will use as they take an imaginary world tour.

• plastic device with many uses
• ruler, half circle protractor, full circle protractor, percent circle, pattern block shapes

• a location in space
• you make a dot with your pencil to show where a point is
• upper case letters are used to name points.

• is made up of 2 points and the straight path between them
• you can use any tool with a straight edge to draw the path between the two points.
• the two points are called endpoints of the line segment
• the points are labeled with upper case letters

• a strip of wood, plastic, or metal that may be used to draw a straight line.

• a straight path that has a starting point and goes on forever in one direction
• the end point is always the first letter in the name of the ray

• a straight path that goes on forever in both directions

• formed by 2 rays or two line segments that share the same endpoint.
• the vertex is where the two segments meet
• the rays or segments are called the sides of the angle
• when naming an angle the vertex is always in the middle

• an angle that measures 90 degrees
• forms the corner of a square
• a small square is drawn in the vertex of the angle indicating it is a right angle

• an angle that measures between 0 degrees and 90 degrees

• an angle that measures between 90 degrees and 180 degrees

• measures 180 degrees

• an angle that measures greater than 180 degrees and less than 360 degrees

• angles that are next to each other and share a side and common vertex

• when two lines intersect each other 4 angles are formed. The angles "opposite" each other are called vertical angles or opposite angles

• a closed figure that is made up of line segments joined end to end
• the line segments do not cross
• can have any number of sides as long as it has three

• a polygon whose sides are all the same length and whose angles are all equal

• all vertices are pushed out

• at least one vertex is pushed in

• a polygon with three sides and three angles
• the measure of all the angles equals 180 degrees

• a triangle with one right angle
• the angle looks like the corner of a square

• a triangle with 3 equal side and 3 equal angles
• it is a regular polygon

• at least two sides are the same length
• an equilateral triangle is also an isosceles triangle
• can be a right triangle

• no sides are the same length
• can be a right triangle

• a figure that is an exact copy
• has the same size and shape

• a polygon with 4 sides
• the measure of the 4 angles equals 360 degrees
• also called a quadrilateral

• a quadrangle with 4 equal sides and 4 right angles
• also considered a parallelogram, a rectangle, and a rhombus

• a parallelogram that has 4 equal sides
• the angles are not right angles

• a parallelogram with 4 right angles
• opposite sides are equal in length

• a quadrilateral with 2 pairs of parallel sides
• opposite sides are parallel

• a quadrangle that has only one pair of parallel lines
• it is not a parallelogram
• the 4 sides can all be of a different length

• a quadrangle with 2 pair of equal sides
• the equal sides are next to each other
• not a parallelogram

• lines or segments on a flat surface that never meet
• like railroad tracks

• lines or segments that cross each other

• lines or line segments that cross and form a right angle

• curved line that forms a closed path on a flat circle
• not a polygon

• all of the points on a circle will be the same distance from the center

• tool used to draw circles

• any line segment that connects the center of the circle with a point on the circle

• any line segment that passes through the center of the circle and has both of its endpoints on the circle

• circles with the same center that do not cross

• a square whose vertices all lie on a circle

• a n arrangement of repeated, closed shapes that cover a surface so that no shapes overlap, and there are no gaps between shapes
• shapes that tessellate-square, equilateral triangle, hexagon.

Notes and Helpful Hints