Name ____________________Period _____
c/b__________________________
Score ___=_____
10
Notes 14 _______
40
Secondary I Review 14
1. Analyze rectangle STUV.
a.
b.
c.
Explain how you can transform rectangle STUV so that point is located at the origin.
_____________________________________________________________________________
Then graph rectangle
on the coordinate grid
List its coordinates.________ ______ _________ _________
b.
Calculate the perimeter of rectangle STUV. _________________
c.
Calculate the area of rectangle STUV. ___________
2. Analyze triangle ABC.
a.
b.
Calculate the area of triangle ABC.
____________________
Double the area of triangle ABC by manipulating point C to create triangle
of point ._____________________
3. Analyze parallelogram WXYZ.
SRF
a.
Determine the perimeter of parallelogram WXYZ.
__________________________
. Determine the location
4. Analyze the figure shown.
SRF
a.
b.
c.
Determine the perimeter of
the composite figure. Round to the nearest tenth.
____________________________
Determine the area of the composite figure.
Round to the nearest tenth._________________
5. Analyze quadrilateral FGHJ.
a.
Identify quadrilateral FGHJ._________________ Explain your reasoning.______________________
b.
_____________________________________________________________________________________
Determine the perimeter of quadrilateral FGHJ.____________________________
c.
Determine the area of quadrilateral FGHJ.______________________________
6. Analyze triangle XYZ.
SRF
a.
Determine the perimeter of triangle XYZ._____________________
b.
Explain why triangle XYZ is a right triangle._______________________
c.
Determine the area of triangle XYZ.__________________________
7. Analyze parallelogram KLMN.
SRF
a.
Determine the perimeter of parallelogram KLMN.___________________________
8. Analyze the figure shown.
a.
Identify the geometric figure shown.___________________ Determine the perimeter of the
polygon.____________ Area _______________
b.
Determine if the figure is a regular polygon. Explain your reasoning.________________________
_____________________________________________________________________________________
Review14
Answer Section
1. ANS:
a.
Answers may vary.
To transform rectangle STUV so that point S is on the origin, I must perform two translations. I must
translate rectangle STUV down 125 units and 150 units to the right. The coordinates of rectangle
are
, and
.
b.
Perimeter
The perimeter of rectangle STUV is 350 units.
c.
Area
The area of rectangle STUV is 6250 square units.
PTS: 1
TOP: Pre Test
2. ANS:
REF: 14.1
NAT: G.GPE.5 | G.GPE.7
a.
Area
The area of triangle ABC is 28 square units.
b.
Answers may vary.
The height of triangle ABC is 4 units. To double the area, I must double the height. By translating point C
up 4 units, the height will now be 8 units.
The location of point
is
.
Students may also translate point C down 12 units. The location of point
PTS: 1
TOP: Pre Test
3. ANS:
a.
REF: 14.2
NAT: G.GPE.5 | G.GPE.7
Methods may vary.
I know the opposite sides of a parallelogram are congruent.
is
.
Perimeter
The perimeter is approximately 14.57 units.
b.
Slope of
Slope of
Equation of
Equation of
Solve system of equations:
The coordinates of point A are (3.647, 2.412).
Height:
Area
The area of the parallelogram is approximately 11 square units.
PTS: 1
TOP: Pre Test
4. ANS:
REF: 14.3
NAT: G.GPE.5 | G.GPE.7
a.
Perimeter
The perimeter of the composite figure is approximately 68.0 units.
b.
Area
The area of the composite figure is 136 square units.
PTS: 1
REF: 14.4
NAT: G.GPE.5 | G.GPE.7
TOP: Pre Test
KEY: bases of a trapezoid | legs of a trapezoid | regular polygon | composite figure
5. ANS:
a.
I can determine the length of each side by counting.
units;
units;
units;
units
All 4 sides are congruent, and each vertex is a right angle, so FGHJ is a square.
b.
Perimeter
The perimeter of quadrilateral FGHJ is 44 units.
c.
The area of quadrilateral FGHJ is 121 square units.
PTS: 1
TOP: End Ch Test
6. ANS:
REF: 14.1
NAT: G.GPE.5 | G.GPE.7
a.
Perimeter
The perimeter of triangle XYZ is approximately 107.94 units.
b.
Slope of
Slope of
Slope of
Triangle XYZ is a right triangle because the slope of YZ is
and the slope of XY is
reciprocals, which means YZ is perpendicular to XY. Angle Y is a right angle.
c.
Area
The area of triangle XYZ is 425 square units.
PTS: 1
TOP: End Ch Test
7. ANS:
REF: 14.2
NAT: G.GPE.5 | G.GPE.7
a.
Perimeter
b.
Slope of
Slope of NP: 2
Equation of
Equation of
Solve system of equations:
The coordinates of point P are
.
c.
Area
The area of the parallelogram is approximately 243.44 square units.
PTS: 1
TOP: End Ch Test
REF: 14.3
NAT: G.GPE.5 | G.GPE.7
. These are negative
8. ANS:
a.
The figure is an octagon.
The horizontal and vertical segments of the octagon are each 5 units.
The remaining sides are hypotenuses of 3-4-5 triangles, so they each are 5 units.
Perimeter
b.
The figure is not a regular polygon. Although all 8 sides are congruent, the 8 angles of the polygon are not
all congruent. If they were congruent, the measure of each would be
.
PTS: 1
TOP: End Ch Test
REF: 14.4
NAT: G.GPE.5 | G.GPE.7
KEY: bases of a trapezoid | legs of a trapezoid | regular polygon | composite figure