IM1: Unit 4 Quiz Review B
Name _____________________
1) Measure the sides(mm) and angles(degrees) of each triangle with a ruler and protractor. Label each side and
angle with its measurement. Then name the triangle based on the measurements.
a)
b)
Name:
Name:
2) For each of the shapes drawn below, decide it they have reflection and/or rotational symmetry, and then
complete the corresponding questions.
a)
Rotational Symmetry? (Y or N)
Order of Rotation:
Angles of Rotation:
Reflection Symmetry? (Y or N)
How many reflection lines?
b)
Rotational Symmetry? (Y or N)
Draw them in the picture.
Order of Rotation:
Angles of Rotation:
Reflection Symmetry? (Y or N)
How many reflection lines?
Draw them in the picture.
3) Which of the following shapes can be considered polygons? Explain why or why not.
a)
b)
4) Calculate the angle sum and the measure of a single angle for a regular polygon with 15 sides.
a) Angle Sum =
b) Single Angle =
5) Each of the regular polygons below have the following measures for each of their angles: Triangle (60°),
square (90°), Pentagon(108°), Hexagon(120°), Octagon (135°), Decagon(144°), Dodecagon(150°).
a) Can 1 decagon, 1 pentagon, and 1 hexagon be used to tile a plane. Explain why.
b) Can 1 square, 2 triangles, and 1 dodecagon be used to tile a plane? Explain why.
6) Complete each of the following steps for the original coordinates listed in the table below:
• Graph and label each point and then connect the points to form a polygon.
• Name the shape that is drawn. (Be Specific!)
• Draw the image of the figure after applying the given transformation.
• Fill the new coordinates into the table.
a) Rotate the shape 90 clockwise.
Point
Original
Coordinates
A
(-4, 5)
B
(-1, 5)
C
(-1, 2)
D
(-6, 2)
New
Coordinates
Name:
b) Reflect the shape over the y-axis.
Point
Original
Coordinates
M
(2, -3)
A
(7, -3)
T
(5, -5)
H
(0, -5)
Name:
New
Coordinates
For the following shapes calculate the lengths of the missing sides and the measures of the missing angles
based on the properties of that shape and fill them into the diagram. The shapes are not drawn to scale.
7) Rectangle with AB = 12, BC = 5, DE = 6.5, ∠AEB = 100°, and ∠EAB = 40°
Calculate the length of each segment.
BD =
AD =
AC =
CE =
Calculate the measure of each angle.
∠A =
∠EAD =
∠EBA =
∠AED=
∠DEC =
∠ECD =
8) Parallelogram with AD = 8, CD = 12, EC = 6, DB = 18, ∠B = 68°, ∠EAB = 43°, and ∠EBA = 20°
Calculate the length of each segment.
BC =
AC =
AE =
BE =
Calculate the measure of each angle.
∠A =
∠D =
∠EAD =
∠DEC=
∠EDA =
∠BEC =
9) Isosceles Trapezoid with AB = 7, CD = 15, BC = 10, AC = 12, AE = 4, ∠A = 114°, ∠EDC= 44°, and ∠EBC = 70°
Calculate the length of each segment.
BD =
AD =
BE =
DE =
Calculate the measure of each angle.
∠B =
∠D =
∠EBA =
∠AEB=
∠AED =
∠ADE =
10) Use the points
( )
A = −5,2
( )
B = 5, 6
(
C = 9, −4
)
(
D = −1, −8
a) Plot the 4 points on the graph and label each point.
b) Connect the points in alphabetical order to form a quadrilateral.
c) Calculate the slope of each line segment.
AB :
BC :
CD :
DA :
d) Calculate the slope of each diagonal.
)
AC :
to answer the questions below.
BD :
e) What shape is this? Explain based on the opposite sides, adjacent sides, and diagonals.
11) Use the points
( )
A = −9, 3
( )
B = 3, 9
( )
C = 6, −3
(
D = −6, −9
)
to answer the questions below.
a) Plot the 4 points on the graph and label each point.
b) Connect the points in alphabetical order to form a quadrilateral.
c) Calculate the slope of each line segment.
AB :
BC :
CD :
DA :
d) Calculate the slope of each diagonal.
AC :
BD :
e) What shape is this? Explain based on the opposite sides, adjacent sides, and diagonals.