Truth Statements
Attributes
Triangles
Quadrilaterals
Venn Diagrams
100
A trapezoid has exactly 1 right angle: Always Never Sometimes None of the Above
Sometimes Show how you know.
100
A common attribute between a square and an equilateral triangle is:
Equal length sides
100
A triangle with three different sized angles is called?
A scalene triangle
100
Is this statement true? All trapezoids have one pair of parallel sides.
Yes - this is true. This is what attribute makes trapezoid unique.
100
Compare the shapes: 1) How are they the same? 2) How are they different? Square and Rectangle
Same: four sides, four right angles, two sets of parallel sides Different: Square - four equal length sides; Rectangle - doesn't have to have four equal length sides - only opposite sides must be equal
200
Which of the following statements is true? All squares are rectangles. All rectangles are squares. No squares are rectangles.
All squares are rectangles.
200
An attribute that a right triangle and a trapezoid could have is:
One right angle. Others? Is this always true? Why or why not?
200
Is it possible for a triangle to be a right, scalene triangle?
Yes - this is a possibility - show what this would look like by drawing a representation.
200
Is it possible for a trapezoid to have two right angles?
Yes, this is possible. Draw a representation of a trapezoid with two right angles to prove that this is true (be sure that you still have one pair of parallel sides as well).
200
Compare the shapes: 1) How are they the same? 2) How are they different? Parallelogram and Rhombus
Same: Four sides, two pairs of parallel sides Different: Rhombus - four sides must be equal in length; Parallelogram - only opposite sides must be equal in length
300
Which of the following statements is true? A parallelogram is a type of a square. A parallelogram is a type of a rhombus. A rectangle is a type of parallelogram.
A rectangle is a type of parallelogram.
300
Name two attributes that a square has.
Four right angles Four equal length sides
300
Which statement is true? A. All triangles are acute triangles B. No triangles have three equal sides C. Some triangles have an obtuse angle
C Some triangles have an obtuse angle
300
Which attribute belongs to every rhombus, but does not belong to every parallelogram? A All four sides have different lengths B All four sides are equal in length C The opposite sides are equal in length
B All four sides are equal in length. Prove with a representation why a rhombus has this attribute, but not every parallelogram does.
300
Compare the shapes: 1) How are they the same? 2) How are they different? Trapezoid and Square
Same: Four sides Different: Trapezoid - one set of parallel sides; Square - Two sets of parallel sides
400
Which of the following statements is false? All quadrilaterals have exactly 4 sides. All quadrilaterals have parallel sides. All quadrilaterals have exactly 4 angles. All quadrilaterals are polygons.
All quadrilaterals have parallel sides.
400
Which of these shapes have opposite sides that are parallel? A Parallelogram B Rhombus C Both a parallelogram and a rhombus D Neither a parallelogram nor a rhombus
C Both a parallelogram and a rhombus
400
Which of the following is a false statement? A Some triangles could be considered a rhombus B All triangles have at least one acute angle C Some triangles have two sides that are equal in length D All triangles have exactly three sides
A Some triangles could be considered a rhombus. What makes this a false statement?
400
Is this statement true, based on the hierarchy of properties of polygons? Since all rectangles have four sides, all quadrilaterals have four sides.
Yes, this is a true statement based on the hierarchy - look at your flow chart to prove why this is true.
400
Compare the shapes: 1) How are they the same? 2) How are they different? Choose two quadrilaterals to compare.
Answers may vary
500
Every rhombus is a parallelogram. Always Sometimes Never
Always
500
Is the following statement true based on a hierarchy of properties of polygons? Since all rectangles have four sides, all trapezoids have four sides.
While both of these do have four sides, this is not a true statement based on the hierarchy of properties. What could you change about this statement to make it true?
500
Is it possible to have an equilateral, right triangle?
No, this is not possible because equilateral triangles are also equiangular, meaning they must also have equal angles of 60 degrees each. Explain further why this statement is false?
500
Draw a representation of the hierarchy (flow chart) of quadrilaterals - without looking at your chart as a reference. You should use the following terms: parallelogram, trapezoid, square, rhombus, and rectangle
Check your flow chart for accuracy.
500
Compare the shapes: 1) How are they the same? 2) How are they different? Choose two triangles to compare
Answers may vary
M
e
n
u