Similar/Congruent Triangles
SOHCAHTOA
Labelling Triangles
Word Problems
Random
100
What is the difference between similar and congruent triangles?
Similar triangles are the same shape but not the same size.
Congruent Triangles have all corresponding sides and interior angles that are the same.
100
What is Tan52 degrees - Tan 30degrees
1.28 - 0.58 = 0.703
100
where is the opp, adj and hyp found on this triangle from angle "a"?
17=Hyp
15=Adj
8=Opp
100
At a point 45 metres from a flagpole, the angle of elevation of the top of the angle is 52 degree. How tall is the flagpole?
Tan52= opp/adj
Tan52= x/45
45Tan52=x
57.6 m = x
Therefore, the flagpole is 57.6m tall.
100
What are unknown angles referred to?
Unknown angles are referred to as theta. 
200
True or false, these triangles are congruent? If not what are they?
False, they are similar.
200
Find x
Sin53=opp/hyp
Sin53=x/15
15Sin53=x
11.98 units = x
200
what is the definition and where do you find the hypotenuse?
Hypotenuse is the longest side length of a right angle triangle, you can find it across from the right angle. It.
200
If John jumps 4 degrees off course for 10 cm, how far from the correct path will John be?
Sin4=opp/hyp
Sin4=x/10
10Sin4=x
0.7=x
Therefore, John was 0.7cm from the correct path.
200
What are the three patterns in the Parallel lines theorem?
Z pattern
F pattern
C pattern
300
What is sufficient enough to prove two triangles are similar?
If you prove the angles are the same for each triangle.
300
If you have a right angle triangle with the 90 degree angle on the left side, with a 13 cm base and a 6cm height and an unknown hypotenuse, what is the "theta" on the lower right side acute angle in the triangle.
Tan(theta)=6/13
(Theta)=Tan inverse (6/13)
Theta= 24.774 degrees
Therefore, the unknown angle is 24.774 degrees.
300
True or false, the adjacent is the opposite side from a given angle? If false what is the right answer?
False, it is the opposite.
300
As it leans against a building, a 6m latter makes an angle of 34 degrees with the ground. How far is the bottom of the ladder from the base of the building?
Cos34=adj/hyp
Cos34=x/9
9Cos34=x
7.46m=x
Therefore, the bottom of the ladder is 7.46m from the base of the building.
300
Can you make a triangle with two right angles? If not how many?
no, you cannot. There can only be 1 right angle or none at all.
400
What are all the 6 theorems you can use to find if a triangle is similar just from the angles?
1. Parallel lines theorem (PLT)
2. Sum of angles of a triangle theorem (SATT)
3. Opposite angles theorem (OAT)
4. Supplementary angle theorem (SAT)
5. Complimentary Angles theorem (CAT)
6. Isoscele triangle theorem (ITT)
400
Solve for x.
Cos55=adj/hyp
Cos55=23/x
1/Cos55=x/23
23/1/Cps55=x
24.74 units=x
400
Label the adj/hyp/opp for angle "a", then find them for angle"b".
Angle A:
3=opp
4=adj
5=hyp
Angle B:
4=opp
3=adj
5=hyp
400
Jerry, whose eyesore 8 feet off the ground, is standing 32 feet away from the base of a building, and she looks up at a 73 degree angle of elevation to a point on the edge of the building's roof. How tall is the building?
Tan73=opp/adj
Tan73=x/32
32Tan73=x
104.67 + 8ft
112.67ft
Therefore, the building is about 112.67 ft.
400
What must the angles of all triangles add up to?
180 degrees.
500
Prove these triangles are similar.
Triangle BAC = Triangle YXZ
BA/XY = AC/XZ = CB/ZY
15/10 = 21/14
3/2 = 3/2
And there is a matching angle Angle BAC and angle ZXY = 75 degrees between the two of them.
500
Solve for x.
Tan20=opp/adj
Tan20=10/x
1/Tan20=x/10
10/1/Tan20=x
12.75 units=x
500
Label the angle of elevation and angle of depression. Provide how to find each.
Left is angle of depression. This is the angle between the horizontal and your line of sight (when looking down).
Right is angle of elevation. When you see an object above you, there's an angle of elevation between the horizontal and your line sight to the object (looking up).
500
a 60ft ladder leans against a building on a. level ground and forms a 88 degree angle of elevation. Where is the location of the 88 degree angle?
The location of the 88 degree angle is between the ladder and the building.
500
Determine Tan78 degrees
4.705