Download 2D Geometry Test – Grade 5

2D Geometry Test – Grade 5
Name: _______________________
Date: _______________________
Knowledge
Draw a shape congruent to this one. (Congruent means identical in size and
shape – but it doesn’t have to face the same direction)
/1
Circle the letter of the images that show a line of symmetry.
Each figure is worth a ½ mark. Figures j and k show a line of symmetry
Using the image below, fill in the table (by finding two of each type of angle).
acute
‹FEG, ‹EGF,
‹GFE, ‹JHI,
‹JHI, ‹HIJ,
‹HIG
obtuse
‹EGI, ‹EFJ,
‹EFH, ‹FHI,
/2
right
‹HFG, ‹JFG,
‹FGI, ‹GIJ,
‹IJH, ‹IJF
Each answer is worth a ½ mark, they should
have 2 from the lists provided (I probably
missed a few)
/3
Measure the angles in the trapezoid.
Angle ABC = ____90º______
Angle BCD = ____90º______
Angle CDA = ___143º_______
Angle DAB = ____37º______
/4
Complete the table in order to classify the triangles by sides and by angles.
Equilateral triangle
Sides
Scalene triangle
A
Isosceles triangle
B and/or D
C
Acute angle triangle
Angles
Obtuse angle triangle
Right angle triangle
A and/or C
B
D
A ½ mark for each right answer
Knowledge /13
/3
Level _____
Thinking/Communication
Can you make a triangle with two right angles? Explain.
Level 3 examples:
 No, you need two acute angles, I know because I tried…
 No, because if you make two right angles you get a
square…
Level 4 example (thorough understanding):
 No, because a triangle only has 180º, and two right angles already
equal 180º…
Thinking _____ Communication _____
This is the question on the test…



Triangles can be sorted by sides (scalene, isosceles, and equilateral).
Triangles can be sorted by angles (acute angle triangle, obtuse angle
triangle, and right angle triangle).
If a group of triangles are sorted by angles, does that mean they are
all also sorted by sides? Explain.
Level 3 example:
Sort of, because equilateral triangles are like acute angle triangles…
No, because on my chart that I made for the last question there was more
than one answer that was different…
Level 4 example:
No, because a Right Angle Triangle can be both Scalene and Equilateral…
Although I recently changed the question to this:
A square is also a parallelogram, but a parallelogram is not necessarily a
square. Explain.
Level 3 example:
A square is a parallelogram because it has opposite parallel sides. A
parallelogram is not a square because it’s not leaning over…
Level 4 example:
A square has the properties of a parallelogram because it has opposite equal
angles and opposite equal sides, but a parallelogram is not necessarily a
square because not all parallelograms have four equal sides and four equal
angles…
Thinking _____ Communication _____
(Overall) Thinking _____ Communication _____
Note: The Communication mark for each of the questions in the Thinking
section is based on how clearly the students are expressing themselves, and
on the math vocabulary being used (use your professional judgment)
Application
Draw 2 different triangles that both have a side length of 5 cm, and an angle
of 40º.
Level 3 – the 2 triangles are slightly different…
Level 4 – the 2 triangles are “sorted by sides”, e.g.: one is a scalene triangle,
and one is an isosceles triangle…
Level _____
Draw a triangle that has one angle of 30º and another angle of 130º. Name
each angle as “acute”, “obtuse”, or “right”.
Level 3 and 4 would be determined by accuracy, if it is properly labeled, and
neatness (use of ruler, etc…, not neatness of writing).
Level _____
Overall Application _____
K
T
C
A
I also no
longer give
an overall
mark
Possible bonus question…
Look at the polygons above. Choose two properties to classify the polygons
and sort the polygons using the Venn diagram below. (Possible properties
include: number of sides, number of angles, pairs of equal sides, pairs of
parallel side, opposite equal angles, number of right angles, etc…)
Level ____
Application _____
K
T
C
A
Mark: