Write the Pythagorean theorem
a^2+b^2=c^2
Given FG is parallel to BD, determine the scale factor, k, of the dilation with center E that takes B to F and D to G
k=3
True or false: All right triangles are similar.
FALSE
Have each person in your table group write "I am smart" on your whiteboard.
yes you are!
Triangle ABC is right and has side lengths AB=3 and BC=5. BC is the hypotenuse. Find the missing side length CA
4
State whether this is a right triangle.
Yup, sure is bud
Name all triangles similar to ABC
ADC and DCB
A triangle has side lengths, 8, 9, and 12. Is it a right triangle?
NO!
The longest side of a right triangle is called the _________ and is always opposite the ____ angle
hypotenuse, right
Is the triangle below a right triangle?
NO!
3 - 5 - 7
13.5 - 22.5 - 31.5
Yes, the scale factor is 4.5
True or false: It is said that Pythagoras nd his friends killed a man over the existence of irrational numbers by luring him onto a boat and later pushing him into the sea.
True
True/False: The Pythagorean theorem applies to all triangles.
Explain!
FALSE: the Pythagorean theorem applies only to RIGHT triangles
Find the value of x in the right triangle
\sqrt63=3\sqrt7~~7.94
Two figures are similar if their angles are __________ and their sides are _____________.
Congruent/ Equal (400 points)
Proportional (400 points)
True or false: the Pythagorean theorem was first discovered by Pythagoras.
False. The earliest known evidence of humans being aware of the Pythagorean theorem comes from what is now Iran.
Find the value of a and b
a=4, b=2sqrt2
Find the missing values of CB and AD
CB=12, AD~~1.96
A 6 foot tall person stands, 8 feet from a mirror placed on the ground. Looking in the mirror, the person can see the top of the building. The mirror is 32 feet from the base of a building. What is the height of the building?
24 feet
Draw this cryptid said to call the forests, hills, and mountains of the Pacific Northwest home.