Download Teacher Notes – KEY CRS PPF701 Classify quadrilaterals Objective

CW#125: RRS Properties
Geometry
Teacher Notes – KEY
CRS
Objective
PPF701 Classify quadrilaterals
12.4 Use properties of rhombuses, rectangles & squares
12.5 Find area of rhombuses, rectangles & squares
 Fill in “Classifying Quads” each day *CHECK #1 & 2 ON CW FOR EXIT SLIP
Rhombus
Rectangle
Square
4 congruent sides
2 pairs of opposite sides
4 congruent sides
Picture
Sides
congruent
Angles
 2 pairs of opposite
4 right angles
4 right angles
 Diagonals perpendicular
Diagonals are congruent
 Diagonals
 Diagonals bisect each
 Diagonals bisect each
perpendicular
other
other
 Diagonals are
angles congruent
 Consecutive angles
supplementary
Diagonals
 Diagonals bisects a pair
congruent
of opposite angles
 Diagonals bisect each
other
Area
 A = ½ (d1)(d2)
A=lxw
A=lxw
 Find area triangles (4
 Find area triangle (4
congruent triangles)
congruent triangles)
CLASS COPY – Please do NOT write on this sheet.
Show all work in your notebook. When no figure is given, draw one.
CRS
Objective
PPF701 Classify quadrilaterals
12.4 Use properties of rhombuses, rectangles & squares
12.5 Find area of rhombuses, rectangles & squares
1) Classify the parallelogram. Explain your
reasoning.
a.
CW#90: Rhombus Area
Geometry
b.
3) One diagonal of a rhombus is 10 inches and the
other is 24 inches. Copy this figure in your
notebook.
2) Classify the special
quadrilateral. Explain
your reasoning. Then
find the values of x and
y. (You do not need to
copy the figure, but do
show work)
4) The diagonal of a square is 20 cm. Find the
length of one side of the square and the
perimeter of the entire square.
a
c
a
b
b
a. Label the lengths of ‘a’ and ‘b’ (remember that ‘a’ is
half of 6 and ‘b’ is half of 8)
b. How long is each side of the rhombus? (use the
Pythagorean Theorem + your knowledge of rhombi)
c. Find the perimeter.
d. Find the area. A = ½ (diagonal1)(diagonal2)
a. Label the lengths of ‘a’ and ‘b’.
b. How long is each side of the square (rounded to the
nearest tenth)? (use the Pythagorean Theorem)
c. Find the perimeter.
d. Find the area. a = s2
CLASS COPY – Please do NOT write on this sheet.
Show all work in your notebook. When no figure is given, draw one.
CRS
Objective
PPF701 Classify quadrilaterals
12.4 Use properties of rhombuses, rectangles & squares
12.5 Find area of rhombuses, rectangles & squares
1) Classify the parallelogram. Explain your
reasoning.
a.
CW#90: Rhombus Area
Geometry
b.
3) One diagonal of a rhombus is 10 inches and the
other is 24 inches. Copy this figure in your
notebook.
2) Classify the special
quadrilateral. Explain
your reasoning. Then
find the values of x and
y. (You do not need to
copy the figure, but do
show work)
4) The diagonal of a square is 20 cm. Find the
length of one side of the square and the
perimeter of the entire square.
a
c
a
b
b
a. Label the lengths of ‘a’ and ‘b’ (remember that ‘a’ is
half of 6 and ‘b’ is half of 8)
b. How long is each side of the rhombus? (use the
Pythagorean Theorem + your knowledge of rhombi)
c. Find the perimeter.
d. Find the area. A = ½ (diagonal1)(diagonal2)
a. Label the lengths of ‘a’ and ‘b’.
b. How long is each side of the square (rounded to the
nearest tenth)? (use the Pythagorean Theorem)
c. Find the perimeter.
d. Find the area. a = s2
5) If one diagonal of a rhombus is 30 cm and the
other is 16 cm. Draw & label the figure for this &
all subsequent problems.
a. How long is each side of the rhombus?
b. Find the perimeter.
c. Find the area.
7) If one diagonal of a rhombus is 18 inches and
the other is 80 inches, how long is each side of
the rhombus?
a. How long is each side of the rhombus?
b. Find the perimeter.
c. Find the area.
9) The size of the obtuse angle of a rhombus is
twice the size of its acute angle. The side length
of the rhombus is equal to 10 feet. Find its area.
11) The perimeter of a rhombus is 120 feet and one
of its diagonal has a length of 40 feet. Find the
area of the rhombus.
5) If one diagonal of a rhombus is 30 cm and the
other is 16 cm. Draw & label the figure for this &
all subsequent problems.
a. How long is each side of the rhombus?
b. Find the perimeter.
c. Find the area.
7) If one diagonal of a rhombus is 18 inches and
the other is 80 inches, how long is each side of
the rhombus?
a. How long is each side of the rhombus?
b. Find the perimeter.
c. Find the area.
9) The size of the obtuse angle of a rhombus is
twice the size of its acute angle. The side length
of the rhombus is equal to 10 feet. Find its area.
11) The perimeter of a rhombus is 120 feet and one
of its diagonal has a length of 40 feet. Find the
area of the rhombus.
6) The diagonal of a square is 16 inches.
a. How long is each side of the square?
b. Find the perimeter.
c. Find the area.
8) The area of a square is 18 square feet.
a. Find the side length.
b. Find the perimeter.
c. Find the length of the diagonal.
10) The lengths of the diagonals of a rhombus are 20
and 48 meters. Find the perimeter of the
rhombus?
12)
6) The diagonal of a square is 16 inches.
a. How long is each side of the square?
b. Find the perimeter.
c. Find the area.
8) The area of a square is 18 square feet.
a. Find the side length.
b. Find the perimeter.
c. Find the length of the diagonal.
10) The lengths of the diagonals of a rhombus are 20
and 48 meters. Find the perimeter of the
rhombus?
12)