Unit 1
Name the 3 rigid motions
reflection, translation, and rotation
Name at least 3 different triangle congruence theorems.
ASA
SSS
SAS
AAS
HL
What is the definition of similar?
when two figures are dilations of each using the same scale factor for each side length.
What are the three trigonometric functions?
sine
cosine
tangent
Oliver & June
What is a perpendicular bisector?
A line that creates a 90 angle with another line AND cuts it into two equal parts
Which triangle congruence theorem can be used to prove the two triangles are congruent?
SAS
Explain how you know two lines are parallel to each others when comparing two triangles, using only scale factor.
The lines will only be parallel if the scale factors of the new side lengths and old lengths are the same.
Find the missing side length:
31.37
What is the hardest bone in the human body?
femur
Find the value of x.
x = 17
Finish the proof provided.
1) segment bisectors cute a segment into two equal parts
2) BE is congruent to ED
3) Vertical Angles
4) SAS
Find the missing angle:
36.87
How many dimples does a golf ball have?
336
Determine a sequence of transformations that takes figure CDE to figure STU.
Translate figure CDE so that point U corresponds with point U. Rotate figure CDE clockwise until EC has the same slope as US.
What is the difference between a square and a rhombus?
squares have right angles
rhombuses do not
Are the two triangles similar? Explain.
Yes because all side lengths use a scale factor of 5 or 1/5
Tara is trying to determine the angle at which to aim her sprinkler nozzle to water the top of a 10 ft bush in her yard. Assuming the water takes a straight path and the sprinkler is on the ground 4 ft from the tree, at what angle of elevation should she set the sprinkler head?
68.2
What is a group of owls called?
a parliament
Assuming a circle centered at A with a radius of AB exists. Describe how to create an inscribed hexagon using a compass and straightedge.
Create a circle centered at B with a radius of AB. Mark the intersections of circle A with circle B and label them point C and the other point D. Create a circle centered at C with radius AB. Mark the intersection of circle C and circle A as point E. Continue this process around circle A until you are back at point B. Connect point B to point C, Point C to point E, and so on until you have created a hexagon.
How can you mathematically prove that two lines on a graphed rectangle are create right angles?
If the slopes of the two lines that create a vertice are opposite reciprocals of each other, then they are perpendicular, which means they are 90 degree angles.
Describe the sequence of transformations that takes NOP to QRS.
Translate NOP so that point N and point Q coincide.
Rotate NOP around center N clockwise until the slope of PN matches the slope of SQ.
Dilate NOP using center N by a scale factor of 5.
An observer on a cliff 1000 feet above sea level sights two ships due east. The angles of depression of the ships are 47˚ and 32˚. Find, to the nearest meter, the distance between the two ships.
668 meters
How much does the average cloud weigh?
1 million tonnes