TRIANGLES TRIANGLES!!!

Trigonometry

100

something *angle*x=a/h

What is cosine

200

In Rt(right triangle) ABC, AB is the hypotenuse which equals 10cm, angle A equals 60 degrees, calculate AC

AC=5cm

300

Calculate angle B in Rt ABC, angle A is 90 degrees, where AB=5x(square root of 3), and BC=15.

angle B= 60 degrees

400

compare sin60 to cos30 - Bonus to the group that can explain what is happening

They are both equal

500

In Rt ABC, angle C = 90 degrees and AB = 13 and BC = 5.  What is the ratio for cosA? 

cosA=12/13

Similarity

100

What is does it mean when it says two triangles are similar?

The triangles are the same shape, but may be in different size and position and place.

200

Name two of the three conditions for two triangles to be similar.

AA, SAS, SSS

300

If in triangles ABC and DEF, angleA=angleD, angleF=angleC, AB:DE=1:2, what does BC equal if EF=10?

BC=5

400

In two similar triangles, the ratio of the two areas is 1:4. If the smaller triangle's perimeter was 4cm, what is the perimeter of the larger triangle?

8

500

The tower outside casts a shadow that is 20 ft long.  At the same time the same sun casts a shadow off of a 6 foot tall person that is 2.5 ft long.  How tall is the tower?

48 feet 

Congruence

100

What does it mean when two triangles are congruent?

The two triangles are the same shape and same size

200

What are two of the five conditions for congruence?

SSS, SAS, ASA, AAS, HL(right triangles)

300

If triangle ABC is congruent to triangle DEF, DE=6, what does AB equal?

AB=6

400

Which statement is not true? 

A) Angle Bisectors meet at the circumcenter

B) A circumscribed circle around a triangle touches all the vertices of a triangle

C) An inscribed circle in a triangle is tangent to all sides of a triangle

D) The perpendicular bisectors meet at the circumcenter

A

500

If you draw a rectangle ABCD and connect a diagonal from B to D.  So that AB = DC and CB = AD.  Which congruence theorem proves the two triangles created are congruent 

SSS

Word problems

100

Mark cut out two triangles, how will he know if they are congruent?

Measure then angles and sides.

200

Which statement about isosceles triangles is true
A) It does not have any sides congruent

B) It has 4 sides congruent

C) It has 3 sides congruent

D) It has 2 sides congruent

D

300

A tree is 10m tall, and casted a shadow of 5m, at the same time, I was standing next to the tree and casted a shadow of 0.9m, how all am I?

You are 1.8m tall

400

If triangle ABC and triangle RQP are congruent which angle must be congruent to angle B 

Q

500

Jason leans a 69 foot ladder against a building that is 49 feet tall.  What is the angle of elevation created between the ladder and the ground? 

45.25 degrees

Triangle properties

100

In a right triangle, a²+b²=c² is called what?

What is the Pythagorean Theorem

200

Can a triangle be formed with the measurements, 20m, 9m, and 7m? Why or why not?

It cant, because the longest side is smaller than the shorter sides' sum

300

If an isoceles triangle has two sides, one which is 15, the other which is 7, what could the missing side be?

The missing side MUST be 15.

400

In a right triangle ABC, angleB=90 degrees, BC=4, and angleC=60degrees, how long is AC? Solve without using calculator or trigonometry

It is 8.

500

What is true about the angles of all triangles? 

They add up to 180 no matter what