Download GEOMETRY FINAL END OF COURSE ESSAY

1) You need to use the Pythagorean theorem and proportions to solve this
problem. Make sure to show your work on how you got your answers.
2) With the given information we could us AAS to prove congruence.
4) Make sure to show your work on how you got your answers.
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5) the location of a city on a map would be a point. The angle of a recliner
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would be obtuse. A row of corn would be a line. An arrow would be a Ray. The
angle of a jet liner would be acute.
6) Make sure to follow the direction in detail.
1.
2.
You work for a catering company making cakes. The catering company must
create a hexagonal cake for a tool company. Your company currently makes a
small cake that is hexagonal and serves 8 people. The tool company wants one
cake to serve 40 people. To feed that many the length of each dimension of the
larger cake will be about 1.7 times that of the smaller cake. Each edge of the
small cake is 6 inches and the height of the cake is 3 inches.
a. What is the length of the edge of the larger cake?
b. What is the height of the large cake?
c. Your boss wants to know the scale factor of the volume of the cakes so that
he can make sure you have enough materials to create the cake. What is the
scale factor for the volume?
A cable-stayed bridge is similar to a suspension bridge, but is more efficient
for medium distances. In this design of bridge, there are two towers, and strong
cables attach to the tops of the towers and the sides of the bridge. Assume the
bridge is perpendicular to the two towers.
a. Angle is 35 degrees. Explain how you can find the measure of angles , ,
and . (Hint: all angles in a triangle add to 180 degrees.) Can you find the
measure of every angle on the bridge?
3.
b. The four shortest cables are 115 meters long. Each successive cable is 32
meters longer than the one below it. How much cable is needed to make the
bridge?
Use the following image to answer the questions below.
a. Based on the picture, what properties can you be sure this figure has? Think
about angles, lines, and points.
b. Does line bisect
4.
5.
? Explain your thinking.
c. What would you need to do to prove that line bisects
?
Two bikers meet at a park. Biker A needs to stop at the store that is 14 miles
east of the park. Biker B heads southeast at a 60° angle at the same time for 33
miles. Once biker A leaves the store he heads southwest at an angle of 80° for
20 miles.
a. Use your knowledge of triangles to figure out if the two bikers will be able
to meet up if each biker travels the distance given.
b. If they do not meet up, how much farther would one of the bikers have to
travel to meet the other?
c. What is the measure of the angle between the bikers?
d. What is the relationship between the measure of the angles and the paths the
bikers took?
e. Classify the triangle the paths created.
f. How many miles did they travel together?
You are a botanist studying a rare flower. The center of the flower is a regular
polygon. The petals coming off the flower are roughly triangular in shape.
6.
a. What is the name of the center polygon?
b. What is the sum of the interior angles of the center?
c. What is the measure of each interior angle of the center?
d. In order to compare the size of the petals to other flowers of the same
species you need to determine the exterior angle of the polygon. What is the
measure of the exterior angle of the polygon?
You are building a gazebo for your mom; you want it to look like the picture
below.
a. Using geometry, name which quadrilaterals you see in the picture.
b. What type of quadrilateral is each side of the roof (see inset)?
c. What specific type must it be in order for each side of the roof to fit
properly?
d. What is the length of the opposite leg on the side of the roof?
e. What measure is the other base angle?
f. What is the measure of the opposite angles?
7.
a. Rectangle , Trapezium
b. Rectangle
c. Triangle
d. 6 Feet
e. 65 degrees
f. 115 degrees each, 230 degrees for both of them
To win a local billiards tournament, all Jeanette has left to do is drop the 9-ball.
Because of the other balls on the table (not shown), her only realistic shot on
this turn is to bounce the ball off both sides of the table as shown. Use the
information in the image to answer the questions below. Lines
parallel, and the near side of the table is parallel to the far side.
and
are
a. What other angle measures can we be sure about? Explain your reasoning.
b. Identify the sets of congruent angles. Explain your conclusions.
c. Identify all the sets of alternate interior angles you can envision. Explain.
d. Identify all the sets of corresponding angles. Explain.
a.<B and <C are alternate angles
b.Angle C and B, < C and <B are alternate angles and alternate angles
are equal
c.<C and <B. Since Lines AB and CH are their original lines and they are
parallel to each other
d. <HCG and <CBH