Unit 1
Name the three rigid transformations
Translation, Rotation, Reflection
How many sides does a quadrilateral have?
4
What is the name for a triangle with three equal sides and three equal angles?
An equilateral triangle
What is the name of the longest side of a right triangle?
The hypotenuse
What is the difference between circumference and area of a circle?
Circumference is the distance around, area is the space inside
What is the name for two lines that never cross?
Parallel lines
What is the sum of the interior angles of a triangle?
180 degrees
Always, sometimes, or never? When you do a dilation, the angle measures change.
Never
What does theta usually represent in a trigonometric equation?
What is a central angle?
An angle created by two radiuses with a vertex at the center
Never
What is the definition of a theorem?
An argument that has been proven true
What does it mean for two shapes to be similar?
You can line them up using a sequence of rigid transformations and/or dilations
When do you use the formula a^2 + b^2 = c^2, and what is it called?
To find the missing side of a right triangle when you know two sides, called the Pythagorean Theorem
How do you calculate the sector area of a circle?
Calculate the area of the whole circle, then calculate the fraction of the circle, then multiply together
What information do you need to perform a precise rotation?
Center of rotation, angle of rotation, direction of rotation (or a pair of corresponding points on image and original)
What are vertical angles?
A pair of opposite angles formed by two intersecting lines, they are always congruent
What does it mean for two quantities to be proportional?
They can be written as equivalent ratios
When do you use inverse trigonometric functions?
If you know 2 sides of a right triangle, and want to find a missing angle
Convert 2π/3 radians into degrees
120 degrees
What is the name of shapes that have all equal sides and angles?
Regular Polygon
What is the definition of a kite?
A quadrilateral with 2 pairs of adjacent congruent sides
Triangle ABC is dilated to create triangle DEF. BC = 4, AC = 9, DF = 22.5. Find the length of side EF.
10
A tree is 60 feet tall, and its shadow is 100 feet long. What is the angle from the top of the shadow on the ground to the top of the tree? Round your answer to 1 decimal place.
31.0 degrees
Convert 300 degrees into radians
5π/3