Essential Question: When a line parallel to one side of a triangle intersects the other two
sides, how does it divide those sides?
Learning Target: Students will be able to determine the dimension of two nested triangles when their bases are parallel.
Completed the entire document and show all work for full credit.
Essential Question: When a line parallel to one side of a triangle intersects the other two
sides, how does it divide those sides?
Learning Target: Students will be able to determine the dimension of two nested triangles when their bases are parallel.
Completed the entire document and show all work for full credit.
Day 1 4/14/22
Concept Review
Required
5 points
5
Question 1
1.
Write the ratio in simplest form:
25 elementary schools to 10 middle schools
5 points
5
Question 2
2.
After cross multiplying this proportion, what is the result?
Triangle Proportionality
Required
2 points
2
Question 3
3.
Which of these is the correct proportion
Required
5 points
5
Question 4
4.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 5
5.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 6
6.
Use the triangle proportionality to create a proportion to solve for x.
Required
5 points
5
Question 7
7.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 8
8.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 9
9.
Required
10 points
10
Question 10
10.
Find the length of XZ
Required
10 points
10
Question 11
11.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 12
12.
On the map, 5th Avenue, 6th Avenue, and 7th Avenue are parallel. What is the length
of Main Street between 5th Avenue and 6th Avenue?
Day 2 (4/15/22)
15 points
15
Question 13
13.
Use the triangle proportionality to solve for x and find the indicated sides.
x=_______
DC=_______
15 points
15
Question 14
14.
Use the triangle proportionality to solve for x and find the indicated sides.
x=_______
WX=_______
Required
10 points
10
Question 15
15.
Use the triangle proportionality to solve for x.
Required
10 points
10
Question 16
16.
Use the triangle proportionality to solve for x.
Triangle Applications
Required
10 points
10
Question 17
17.
If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the
height of the tree.
Required
10 points
10
Question 18
18.
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on
the wall if the rod is 45 cm from the wall and 15 cm from the light.
Required
10 points
10
Question 19
19.
On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter
than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the
flagpole. How tall is the tree?
Required
10 points
10
Question 20
20.
Find the width of the Brady River.
Required
10 points
10
Question 21
21.
To find the height of a bridge that connects two buildings, a man 6 feet tall stands at one end and looks down to the ground at the other end. Using the distances marked in the figure below, find the height of the bridge.
Required
10 points
10
Question 22
22.
Alexa who is 5.87 ft tall, is standing at the top of a 138 ft tall cliff. The top of the cliff can be seen from 47 feet away. How far (x) away from the cliff does someone needs to swim to see the top of Alexa's head?
Required
10 points
10
Question 23
23.
The water in the ocean is 2 ft deep, 5 ft away from the land. How deep (x) is the water at 12 ft away from the land?