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Triangles & Quadrilaterals 6

Total questions: 46

Worksheet time: 1hrs 12mins

Name
Class
Date
1.
Find the missing angles.
a)
110
b)
40
c)
70
d)
30
2.
Determine if it is possible to form a triangle with the given side lengths. 2 mm, 2 mm, 8 mm
a)
yes
b)
no
3.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
4.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft
a)
more than 6 but less than 20
b)
more than 20 but less than 6
c)
less than 6 but more than 20
5.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 10 m, 13 m
a)
more than 3 but less than 23
b)
more than 23 but less than 3
c)
less than 3 but more than 23
6.

Two angles in a triangle measure 30° and 105°. What is the measure of the third angle in the triangle?

a)

45°

b)

65°

c)

75°

d)

105°

7.

Two angles in a triangle measure 18° and 60°. What is the measure of the third angle in the triangle?

a)

222°

b)

22°

c)

122°

d)

102°

8.

Leah drew a triangle on a piece of paper. She made one side 5 inches long, another side 4 inches long, and the final side 3 inches long. What kind of triangle did she create?

a)

Equilateral

b)

Scalene

c)

Straight

d)

Isosceles

9.

Why is the triangle classified as isosceles?

a)

All angles are acute

b)

At least two sides are congruent

c)

At least one angle is acute

d)

All angles are congruent

10.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
11.

Which words best describe this triangle?

a)

Right

b)

Acute

c)

Obtuse

d)

Isosceles

e)

Scalene

12.
A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
13.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
14.

If two angles in a triangle are 45°45\degree  and  75°\ 75\degree , what is the measure of the third angle?

a)

75°75\degree  

b)

90°90\degree  

c)

60°60\degree  

d)

70°70\degree  

15.

*Select all that apply*

Equilateral triangles ...

a)

have three angles that are the same measure

b)

have three side lengths that are the same measure

c)

have only acute angles

d)

have three angles that are each 60 degrees

16.

The triangle inequality theorem states that the sum of any two sides must be ________________ the length of the third side.

a)

less than

b)

greater than

c)

equal to

d)

less than or equal to

17.

The triangle inequality theorem states that the _________ of any two sides must be greater than the length of the third side.

a)

quotient

b)

difference

c)

sum

d)

product

18.

Three line segments have measures of 12 cm, 7 cm, and 5 cm. Will the segments form a triangle?

a)

Yes

b)

No

19.

Three line segments have measures of 9 cm, 5 cm, and 6 cm. Will the segments form a triangle?

a)

Yes

b)

No

20.

A triangle has two angles that are 65 degrees and 50 degrees. What must the third angle be?

a)

65

b)

75

c)

25

d)

60

21.

Is it possible to draw a triangle with the following angle measures: 80 degrees, 35 degrees, 55 degrees?

a)

Yes

b)

No

22.
How many sides does a Quadrilateral have?
a)
4
b)
3
c)
6
d)
9
23.

Polygons are

a)

closed shapes

b)

multi-sided

c)

2D flat shapes

d)

All these answers

24.
a)

polygon

b)

not a polygon

25.
a)

polygon

b)

not a polygon

26.
a)

polygon

b)

not a polygon

27.
a)

polygon

b)

not a polygon

28.
a)

polygon

b)

not a polygon

29.

Are all rectangles also squares? Why or why not?

a)

No, because all rectangles don't have equal sides.

b)

No, because all rectangles don't have 4 right angles.

c)

Yes, because all rectangles have equal sides.

d)

Yes, because all rectangles have 4 right angles.

30.

Why is a Triangle called an Acute Triangle?

a)

It has 3 acute angles

b)

It has 2 acute angles

c)

It has 1 acute angle

d)

It has 0 acute angles

31.
Which of these figures are considered polygons?
a)
a, b, c, d
b)
b, d, e, f
c)
a, b, c
d)
a, e, f
32.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

33.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
34.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
35.
Which statement is true?
a)
A rhombus is never a square.
b)
A rhombus is always a square.
c)
A rhombus is never a rectangle.
d)
A rhombus is always a parallelogram.
36.

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

a)

trapezium

b)

rhombus

c)

parallelogram

d)

rectangle

37.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
38.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
39.
Find the missing angle.
a)
30
b)
60
c)
90
d)
120
40.
Angle 1 is 34, angle 2 is 58, angle 3 is 100.  If this shape is a quadrilateral, what is the measure of the 4th angle.
a)
186
b)
121
c)
168
d)
90
41.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
42.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
43.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
44.
Which of the following properties is true about rectangles?
a)
Four congruent sides.
b)
Four right angles.
c)
Diagonals bisect opposite angles.
45.

What are parallel lines?

a)

Lines that cross each other.

b)

Lines that form an angle or corner.

c)

Lines that will never cross.

d)

Lines that are curved.

46.
What do a rhombus and a rectangle have in common?
a)
they are both parallelograms
b)
they always have four right angles
c)
they are not polygons
d)
they have five sides

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