Download 5th Grade Geometry Study Guide

5th Grade Geometry Study Guide
Identify and describe a diameter, radius,
chord and circumference of a circle.
F
B
E
A
D
C
AC is a chord.
BD is the diameter.
EF is the radius.
The circumference is the distance around the
circle.
Classify, measure, and draw right,
acute, and obtuse angles and triangles.
Angles
Right
Acute
Obtuse
An acute angle is more than zero degrees and less
than ninety degrees.
A right angle measures exactly 90 degrees.
An obtuse angle is more than 90 degrees and less
than 180 degrees.
Students will use protractors to measure these
angles
Classify triangles as right, acute, or
obtuse.
Triangles
Right
Acute
Obtuse
Classify triangles by their side lengths.
These classifications are scalene,
isosceles, or equilateral.
Equilateral
Isosceles
Scalene
Equilateral – all sides are equal in length
Isosceles – two sides have an equal length
Scalene – all sides have different lengths
Recognize, identify, describe, and
analyze properties of squares,
rectangles, triangles, parallelograms,
rhombi, kites, and trapezoids.
Square: 4 equal
sides with 4 right
angles
Rectangle: A four sided figure where the opposite
sides are parallel and are the same length.
Trapezoid: A four sided figure with one set of
parallel lines.
Kite: A four sided figure with two pairs of sides
that are the same length.
Parallelogram: A four sided figure in which both
pairs of opposite sides are parallel. Opposite sides
and angles in a parallelogram are congruent.
Rhombus: Is a parallelogram that has four equal
sides. Opposite angels are congruent.
Identify congruent, non-congruent, and
similar figures.
Two figures are congruent if they have the exactly
the same shape and size.
Two figures are similar if they have exactly the
same shape but not the same size.
Describe the results of combining and
subdividing shapes.
There are two right triangles in a square.
There are three triangles in a trapezoid.
Identify and describe a line of symmetry.
A line of symmetry is a line that divides a figure
into congruent (matching) halves.
A flip or reflection happens when an image is
Recognize the images of figures as a
slide, flip, and turn.
flipped over an imaginary line.
A turn or a rotation happens when an image is
formed by turning around a point.
A slide or translation happens when all points of
a figure is moved in the same direction.
Identify, analyze, and compare
properties of 3D shapes (cylinder, cone,
cube, square pyramid, and rectangular
prism).
Cylinder: A three dimensional shape that is
formed with two circular bases joined by a curved
surface.
Cone: A three dimensional shape that is formed
with one circular base joined by a curved surface,
making one vertex.
Cube: A three dimensional shape that has 6
congruent faces and all 12 edges the same length.
Square Pyramid: A three dimensional shape that
has a square base. Its faces are triangles and
there is one common vertex.
Rectangular Prism: A three dimensional figure
that has 6 rectangular faces. The opposite faces
are congruent.