What type of angle relationship is shown between ㄥ7 and ㄥ15? (Slide 1)
Corresponding angles
Explain the relationship between the sides in a 30-60-90 triangle.
In a 30-60-90 right triangle, the sides always follow the ratio a: a sqrt(3) : 2a.
True or False.
All squares are rectangles, but not all rectangles are squares.
True. Squares need to have at least one property of a rectangle AND one property of a rhombus.
Find the volume of the figure in Slide 4.
923.6 cubic units
When in doubt...
Draw. It. Out.
In the figure below, lines l and k intersect at point Q. If m=40 and p=25, what is the value of x?
x = 15 degrees.
When do we use normal trigonometry versus inverse trigonometry?
Normal trigonometry is used to find missing sides when given an angle. Inverse trigonometry is used to find missing angle measures given at least two sides.
Which of the following is not a valid way to check if a quadrilateral is a parallelogram?
a. Find the slopes of the diagonals to see if they are perpendicular
b. Find the slope of each side to see if the opposite sides are parallel
c. Use the distance formula to see if the opposite sides are congruent
d. Use the midpoint formula to see if the diagonals bisect each other
e. All of the above are valid ways to check if a quadrilateral is a parallelogram
Choice A does not give us enough information to determine if it is a parallelogram.
Which of the following statements describes the relationship between inscribed angles and central angles of circles?
a. Inscribed angles have a vertex on the center of a circle and a measure twice that of a corresponding central angle.
b. Inscribed angles have a vertex on the circumference of a circle and a measure twice that of a corresponding central angle.
c. Central angles have a vertex on the center of a circle and a measure twice that of a corresponding inscribed angle.
d. Central angles have a vertex on the circumference of a circle and a measure twice that of a corresponding inscribed angle.
Choice C.
You have 30 minutes remaining to complete all 5 Open Response questions on the test. What should you do?
1. Prioritize the 10 point question
2. Make sure there are NO blanks
What is the slope of a line that is perpendicular to the line whose equation is 2x - y = 7?
The triangles in Slide 3 are similar. Find the value of x.
x = 57 degrees.
(Slide 5) In parallelogram UTAH, m∠U=(2x+10) and m∠H=3x. Find m∠H.
m<H = 102 degrees.
Determine the radius and center of the circle whose equation is below.
(x-2)^2+(y+1)^2=9
Center is (2,-1) and the radius is sqrt(9).
What are some ways to help you prepare for the exam on Tuesday?
1. Review old tests, quizzes, and review packets
2. Check the answer keys and REVISE your work
3. Come to office hours
To the nearest integer, what is the distance between the points (-9, 7) and (3,2)?
13 units
Find the value of q in Slide 6.
Q = 17.2 units
Name 2 different ways that you can mathematically prove that ABCD is a parallelogram on a coordinate plane. Include mathematical evidence in your answer.
1. Show that opposite sides are congruent by using the distance formula or Pythagorean Theorem.
2. Show that opposite sides are parallel by using the slope formula to show they have the same slopes.
3. Show that diagonals bisect each other by finding the same midpoint for both diagonals.
The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm. Find the radius of the cylinder to the nearest tenth of a centimeter.
The radius is 22.4 cm.
What do you do when you don't know what to do or how to start the problem?
1. Identify key words or definitions
2. Draw a model
3. Write formulas
4. Identify the topic
5. BE RESOURCEFUL - go to Google Classroom!