Unit 12: Geometry
Chapter 1- Examples of test questions:
- Students may use an index card on the test for checking right angles – however, no writing should be on the card.
Understanding angles is an important part of Geometry.
- Right Angle (90 degrees – like the corner of a piece of paper)
- Acute Angle (smaller than a right angle)
- Obtuse Angle (wider than a right angle)
- Organize angles from smallest to largest or largest to smallest.
- Two lines that are not connected are not an angle.
Polygons are closed figures with straight sides. Know the number of angles in polygons.
- Triangle has three angles
Quadrilateral has four angles (with or without parallel sides)
- Trapezoid has four angles (one pair of parallel sides)
Parallelogram has four angles (two pairs of parallel sides)
- Rectangle has four (right) angles
- Rhombus has four angles (four equal sides)
- Square has four angles (four right angles and four equal sides)
- Pentagon has five angles
- Hexagon has six angles
- Octagon has eight angles
- Which polygon has eight lines and eight angles? (octagon)
Pick a specific polygon from a row of shapes.
- Various shapes drawn. Which is the octagon?
- Compare shapes. The hexagon has ___ more sides/angles than the triangle.
- Draw an angle larger or smaller than the one drawn.
Chapter 2- Examples of test questions:
- Draw a right angle using the corner of a piece of paper.
- Choose right angles from drawn angles.
- Choose triangles that have right angle(s).
- Choose angles that are greater/smaller than a right angle.
- Array of dots are given. Create an angle within the array. There will be instructions on what type of angle to include (obtuse, right, acute).
- Know how many angles are in various shapes. For example, how many right angles are there in a rectangle?
- Name a shape with a specific description. For example, name a shape that has five angles.
Chapter 3- Examples of test questions:
- Pick parallelograms from various shapes. Pick shapes that are not parallelograms from various shapes.
- Pick specific shapes. For example, shapes are drawn and choose quadrilateral.
- Is a rectangle a rhombus?
- Is a hexagon a parallelogram?
- Which quadrilateral has unequal sides? Which quadrilateral doesn’t have right angles? Which quadrilateral has one right angle?
- An obtuse triangle has one angle greater than 90 degrees.
- A right triangle has an angle at 90 degrees.
- An acute triangle has three angles smaller than 90 degrees.
- A scalene triangle has all sides different in length.
- An isosceles triangle has two equal sides. Since an equilateral has three equal sides it is also “isosceles” since it has at least two equal sides!
- An equilateral triangle has three equal sides.
- Questions regarding triangles. For example, what do you call a triangle that all sides have different lengths?
True or false statements comparing information on triangles.
- Can an isosceles triangle have a right angle?
- Can an equilateral triangle be scalene?
Various triangles drawn.
- Which triangles are scalene, isosceles, or equilateral?
- Which triangles are obtuse, right, or acute?
Chapter 4- Examples of test questions:
A polygon is a closed plane figure, with straight sides.
- Rectangles, squares, and triangles
A regular polygon is a polygon in which the sides are all the same length and are symmetrically placed about a common center. It is both equiangular and equilateral.
A polyhedron is a three-dimensional solid consisting of a collection of polygons, joined at their edges.
A general prism possesses two congruent polygonal faces and with all remaining faces parallelograms.
- A right prism has the top and bottom polygons lying on top of each other so that the vertical polygons connecting their sides are not only parallelograms, but also rectangles.
A pyramid is a polyhedron where one face is a polygon and all the other faces are triangles meeting at a common polygon vertex.
- A right pyramid has the line joining the centroid of the base and the apex is perpendicular to the base.
- A regular pyramid is a right pyramid whose base is a regular polygon.
- All prisms and pyramids in this unit will be right prisms or pyramids.
- A cylinder is a solid bounded by two congruent circular bases, one directly above the other.
- A general prism possesses two congruent polygonal faces and with all remaining faces parallelograms.
The flat surface of a solid is its face.
- How many faces does a shoebox have? (six)
- How many faces does a sphere have? (none)
- How many faces does a cylinder have? (two)
- How many faces does a triangular pyramid have? (four)
- How many faces does a rectangular pyramid have? (five)
- How many faces does a cone have? (one)
An edge is where two faces meet.
- How many edges does a shoebox have? (twelve)
- How many edges does a sphere have? (none)
- How many edges does a cylinder have? (two)
- How many edges does a triangular pyramid have? (six)
- How many edges does a rectangular pyramid have? (eight)
- How many edges does a cone have? (none)
A vertex is the point where two or more edges meet.
- How many vertices does a shoebox have? (eight)
- How many vertices does a sphere have? (none)
- How many vertices does a cylinder have? (none)
- How many vertices does a triangular pyramid have? (four)
- How many vertices does a rectangular pyramid have? (five)
- How many vertices does a cone have? (one)
Solids will be drawn.
- Name the solid drawn.
- Find a specific solid. For example, mark the rectangular pyramid.
Describe the solid.
- How many faces does a cone have?
- How many edges does a triangular pyramid have?
- How many vertices does a sphere have?
- Various shapes will be drawn together. List the shapes that make up the figure.
- Fill in a table asking for the number of faces, edges, and vertices of various solids.
Unit 12 Cumulative Test:
- Review all of Units 1 - 12