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Special Right Triangles. SOH CAH TOA. Triangle Similarity Postulates. Similar Figures. Trig Word Problems. Odds & Ends. Dilations. 1. 1. 1. 1. 1. 1. 1. 2. 2. 2. 2. 2. 2. 2. 3. 3. 3. 3. 3. 3. 3. 4. 4. 4. 4. 4. 4. 4.
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Special Right Triangles SOH CAH TOA • Triangle Similarity Postulates • Similar Figures • Trig Word Problems • Odds & Ends • Dilations • 1 • 1 • 1 • 1 • 1 • 1 • 1 • 2 • 2 • 2 • 2 • 2 • 2 • 2 • 3 • 3 • 3 • 3 • 3 • 3 • 3 • 4 • 4 • 4 • 4 • 4 • 4 • 4
Are these two triangles similar? If they are, identify the reason. Click here for the answer. Red Question 1
Not enough information (SSA). Click here to return to the game board. Red Answer 1
Which statement is true for the triangles below? Click here for the answer. Red Question 2
Click here to return to the game board. Red Answer 2
Click here for the answer. Red Question 3
B) AB and DE are proportionalIn similar figures, the angles are congruent, but the sides are proportional. The figures themselves are similar. Click here to return to the game board. Red Answer 3
Why are these triangles similar? Click here for the answer. Red Question 4
SAS~ Click here to return to the game board. Red Answer 4
How many times has segment XY been dilated ? Click here for the answer. Orange Question 1
THREE (3) Do not count the original, or point P, which is the center of dilation. Click here to return to the game board. Orange Answer 1
Which of these statements is true?a) B’ is the center of dilation.b) ABC has been dilated by a factor or 5.c) O is the center of dilation.d) The triangles are congruent. Click here for the answer. Orange Question 2
C--O is the center of dilation Click here to return to the game board. Orange Answer 2
Why do these dilated figures overlap? Click here for the answer. Orange Question 3
One of the vertices (or corners) of the pre-image was used as the center of dilation. Click here to return to the game board. Orange Answer 3
Which point below is the center of dilation? Click here for the answer. Orange Question 4
point P Click here to return to the game board. Orange Answer 4
Find x and y in the triangle below. Click here for the answer. Yellow Question 1
Click here to return to the game board. Yellow Answer 1
Click here for the answer. Yellow Question 2
Area = ½ b h = ½ (41)(6) = 123 in² Click here to return to the game board. Yellow Answer 2
Find x and y. Click here for the answer. Yellow Question 3
Click here to return to the game board. Yellow Answer 3
What is NEVER a reason that two triangles are similar?A) SAS~B) SSS~C) AA~D) SSA~ Click here for the answer. Yellow Question 4
What is NEVER a reason that two triangles are similar?A) SAS~B) SSS~C) AA~D) SSA~ bass-ackwards Click here to return to the game board. Yellow Answer 4
Click here for the answer. Green Question 1
BIt has the same cross products as the original: zw = xy Click here to return to the game board. Green Answer 1
The triangles below are similar. The sides marked “20” and “x” are medians. Solve for x. Click here for the answer. Green Question 2
36x = 360x = 10 Click here to return to the game board. Green Answer 2
On a sunny day, a 12 inch ruler is held perpendicular to the ground. It casts a 30 inch shadow. At the same time, a bush casts a shadow that is 80 inches long. How tall is the bush? Click here for the answer. Green Question 3
30 x = 960x = 32 inches Click here to return to the game board. Green Answer 3
How wide is the river below (EN)? Click here for the answer. Green Question 4
30x = 1800x = 60 ft Click here to return to the game board. Green Answer 4
In a right triangle, sinX = 9/15.cosX = 12/15. What is tanX = ? Click here for the answer. Blue Question 1
tanX = opp/adj = 9/12 Click here to return to the game board. Blue Answer 1
If sinM = 8/17 then tan M = ? Click here for the answer. Blue Question 2
tanM = 8/15 Click here to return to the game board. Blue Answer 2
Find a and b. Click here for the answer. Blue Question 3
sin 71 = 13/b b = 13/sin 71 b = 13.7 tan71 = 13/a a = 13/tan 71 a = 4.5 Click here to return to the game board. Blue Answer 3
A cat is stuck in a tree. Bill gets a ladder to get him down. The ladder is 8 ft. long. The ladder makes an 80 degree angle with the ground. How high above the ground does the ladder touch the tree? Click here for the answer. Blue Question 4
sin 80 = x/8x = 8sin80x = 7.9 ft. Click here to return to the game board. Blue Answer 4
A surveyor is 100 feet from a tower. The surveyor’s instrument is 4 feet above the ground. When the surveyor sights the top of the tower with his instrument, the angle of elevation is 34°. How tall is the tower? Click here for the answer. Purple Question 1
tan 34 = x/100x = 100 tan 34x = 67.5tower = 67.5 + 4 = 71.5 feet Click here to return to the game board. Purple Answer 1
The ladder to a slide is 6 ft. tall. The slide is 11 ft. long. What angle does the ladder make with the ground? Click here for the answer. Purple Question 2
sin x = 6/11x = sin -1 (6/11)x = 33.1° Click here to return to the game board. Purple Answer 2
From a point 68 feet from a building, the angle of elevation to a floor on the building is 53 degrees. How many feet high is that floor? Click here for the answer. Purple Question 3
tan 53 = x/68x = 68 tan 53x = 90.2 feet Click here to return to the game board. Purple Answer 3
Mrs. Gasper was practicing her karate and chopped a flag pole. The pole breaks 6 ft. above the ground. The broken piece forms a 57° angle with the ground. How tall was the pole before Mrs. Gasper chopped it? Click here for the answer. Purple Question 4
Click here to return to the game board. Purple Answer 4
Bill has two pieces of lumber, one is 9 ft. long and the other is 12 ft. long. How long should a third piece of lumber be in order for Bill to have a right triangle? Click here for the answer. Pink Question 1