IM 1 Investigation 4.1.2B
Alternate WS #1-13
Name
Calculate all the missing angle measures and line segment lengths based on the properties of each shape. The
shapes are not drawn to scale so don’t try to measure them.
1) Square ABCD:
a) Fill in all the missing segment lengths in the diagram.
AD = 19.8cm
BD = 28cm
b) Fill in all the missing angle measurements in the diagram.
2) Rhombus ABCD:
a) Fill in all the missing segment lengths in the diagram.
CD = 22.7cm
AC = 34cm
BD = 30cm
b) Fill in all the missing angle measurements in the diagram.
∠C = 60
3) Rectangle ABCD:
a) Fill in all the missing segment lengths in the diagram.
CD = 22cm
BC = 37cm
BD = 43cm
b) Fill in all the missing angle measurements in the diagram.
∠EDC = 54
∠DEC = 72
4) Parallelogram ABCD:
a) Fill in all the missing segment lengths in the diagram.
DC = 18cm
BC = 25cm
AC = 32cm
BD = 40cm
b) Fill in all the missing angle measurements in the diagram.
∠B = 80
∠EBC = 30
∠BEC = 95
5) Isosceles Trapezoid ABCD:
a) Fill in all the missing segment lengths in the diagram.
AB = 18cm
AD = 24cm
AC = 30cm
CD = 33cm
b) Fill in all the missing angle measurements in the diagram.
∠A = 112
∠DAE = 70
∠AEB = 96
Mark each of the following statements as true or false based on the properties.
6) Every Square is a Rectangle.
7) Every Rectangle is a Square.
8) Every Parallelogram is a Rhombus.
9) Every Rhombus is a Parallelogram.
10) Every Square is a Rhombus.
11) Every Rhombus is a Square.
12) Every Parallelogram is a Quadrilateral.
13) Every Quadrilateral is a Parallelogram.