M. Phillips-14 front to back
Name: ___________________________________
Date: ______________________
Unit 6 Study Guide
Use the triangles below to answer questions 1-8.
1. Which triangles are examples of an obtuse
triangle?
1, 6, 11, 14
2. Which triangles are examples of isosceles a
triangle?
3, 5, 6, 8, 9, 12, 14
3. Which triangles are examples of acute triangles?
3, 8, 9, 12
4. Which triangles are examples of a right triangle?
2, 4, 5, 7, 10, 13
5. Which triangles are examples of right acute
triangles? Why?
None; Right triangles must have at least 90 angle and
an acute triangle as all angles that are less than 90 .
7. Which triangles are examples of a scalene
triangle?
1, 4, 7, 10, 11, 13,
6. Which triangles are examples of obtuse isosceles
triangles? Why?
6, 14; These triangles have one obtuse angle and two
sides that are congruent
8. Which two triangles have at least one set of
perpendicular lines?
a.
b.
c.
d.
Triangle 10 and 9
Triangle 10 and 6
Triangle 10 and 12
Triangle 10 and 5
9. Draw an equilateral triangle. Label its angles with the appropriate measure.
All angles are 60 degrees.
10. Write true or false on the line.
a. ___T____ a parallelogram is a trapezoid
b. ___T____ a rhombus is a trapezoid
c. ___F____ a rectangle is a square
d. ___T____ a square is a rectangle
e. ___T____ a rectangle is a parallelogram
f. ___F____ a kite is a triangle
g. ___F____ a parallelogram cannot be a rectangle
h. ___F____ a rhombus is always a square
i. ___T____ an equilateral parallelogram is a rhombus
j. ___F____ a trapezoid is a kite
k. ___T____ a kite is a rhombus
Use the following shapes to answer questions 11-16.
11. What attributes do I and J have in common?
a.
b.
c.
d.
All the sides are the same
They both have right angles
They both have 4 acute angles
They both have 2 sets of congruent opposite angles
12. Which polygon has the following attribute: There is at least one right angle and no sides are parallel.
a.
b.
c.
d.
Polygon P
Polygon C
Polygon E
Polygon L
13. Which shape is a right triangle?
a.
b.
c.
d.
Polygon A
Polygon Q
Polygon L
Polygon B
14. Which shape is NOT a parallelogram
a. Polygon N
b. Polygon O
c. Polygon J
d. Polygon I
15. Which figure is an example of a non-parallelogram?
a.
b.
c.
d.
Polygon R
Polygon T
Polygon K
Polygon G
16. Which quadrilateral has only one pair of parallel sides?
a.
b.
c.
d.
Polygon F
Polygon N
Polygon E
Polygon H
17. Which figure is a kite?
a.
b.
c.
d.
18. A triangle has 3 angles that measure 87 degrees. How would you classify this triangle?
a. Acute
b. Right
c. Obtuse
d. Scalene
19. Complete the table
Triangle
Right
Sides
Obtuse
Acute
Scalene
Angles
3 angles; one angle must
measure 90
3 angles; only one angle
measures greater than 90;
3 angles; all angles are less than
90; total of all angles is 180
3 sides; each side a different
measure
3 sides; all side must have the
same measure
3 sides; at least two sides must
have the same measure
Equilateral
Isosceles
Use the following triangle to answer question 20.
B
A
C
20. All angles have the same measure. Which of the following could be the measure of the sides?
a. AB = 4; BC = 5; AC = 6
b. AB = 5; BC = 5; AC = 5
c. AB = 4; BC = 4; AC =5
d. AB = 5; BC = 7; AC = 7
21. What are the attributes of a square?
4 congruent sides; 4 right angles; opposite sides are parallel
22. What are the attributes of a rhombus?
4 sides; all sides must be congruent; 4 angles; angles do not need to be right angles; opposite sides are
parallel
23. Complete the Venn diagram. List at least one similarity and one difference.
Rectangle
Has all right
angles
Have opposite
angles that are
congruent
Parallelogram
Can have
right,
obtuse or
acute
angles