Geometry - Fifth Grade

point

- an exact location in space(#1)

line

- an endless collection of points along a straight path(#2)

line segment

- part of a line that has two endpoints(#3)

ray

- part of a line that has one endpoint and extends endlessly in the other direction (#4)

plane

- an endless flat surface that is named by any three points NOT on the same line (#5)

intersecting lines

- two lines that cross at exactly one point(#6)

parallel lines

- lines in the same plane that stay exactly the same distance apart(#7)

perpendicular lines

- two lines that intersect to form right angles(#8)

angle

- a figure formed by two rays that meet at a common endpoint(#9)

vertex

- the point at which 2 rays of an angle or 2 sides of a polygon meet(#10)

side

- the line segments that form a polygon(#11)

degree

- a unit for measuring angles(#12)

right angle

- an angle that forms a square corner and measures 90 degrees(#13)

acute angle

- an angle that has a measure less than 90 degrees(#14)

straight angle

- an angle that measures 180 degrees(#15)

obtuse angle

- an angle that measures between 90 and 180 degrees(#16)

polygon

- a simple closed figure in a plane formed by three or more line segments(#17)

regular polygon

- a polygon with equal sides and equal angles(#18)

triangle by angle: 1) acute; 2) right; 3) obtuse

- a polygon with 3 sides and 3 vertices: 1) has 3 angles < 90 degrees; 2) has 1 angle = 90 degrees; 3) has 1 angle > 90 degrees(#19)

triangle by side: 1) equilateral; 2) isosceles; 3) scalene

- a polygon with 3 sides and 3 vertices: 1) all sides are equal; 2) 2 sides are equal; 3) no sides are equal

quadrilateral

- a polygon with four sides and four vertices

parallelogram

- a quadrilateral with both pairs of opposite sides equal in length and parallel

types of parallelograms: rectangle, rhombus, square

1) parallelogram with 4 right angles; 2) parallelogram with 4 equal sides; 3) parallelogram with 4 equal sides and 4 right angles.

quadrilaterals that are NOT parallelograms: trapezoid, kite, other

1) quadrilateral with 1 pair only of parallel sides; 2) quadrilateral with 2 pairs of equal sides which are next to each other; 3) quadrilaterals that fit none of the other patterns

Other polygons: pentagon, hexagon, heptagon, octagon, nonagon, decagon

- polygon with 5 sides, 6 sides, 7 sides, 8 sides, 9 sides, 10 sides

Sums of angles: triangles and quadrilaterals

triangle - 180 degrees; quadrilateral - 360 degrees

congruent

- describes figures that have exactly the same size and same shape

line of symmetry

- divides a figure into congruent parts

similar

- describes figures that are the same shape but may be a different size

transformation

- a change of position

slide (translation)

- the figure moves up/down, left/right, diagonally

flip (reflection)

- the figure produces a mirror image (congruent)

turn (rotation)

- figure moves around a fixed point