Does a vertical shift effect the domain of a function? For example: from f(x) to g(x)
f(x)=2^x
g(x)=2^x+4
No
What is a counter example to the following conjecture?
There are no prime numbers between 21 and 30.
23 or 29
What are the pairs of alternate interior angles?
3 and 5
6 and 4
What transformations map 1 to 2? 2 to 3?
Reflections
What additional information is needed to show that by SSS? The diagram is not to scale.
BC = 8
DE = 9
The graph of f(x) shift 8 units up to form g(x). What is g(x) if
f(x)=10^x
g(x)=10^x+8
What is the converse of the conditional statement:
If a figure is a square, then it has four sides.
Is the converse true or false?
If a figure has four sides, then it is a square.
false
Which best describes angles 3 and 7?
Corresponding Angles.
Name this transformation.
Reflection across the x-axis.
If AC is congruent to DF, and angle E is congruent to angle B, what else must be true to make the two triangles congruent by ASA?
A congruent to D
C congruent to F
y=3^x
Finish the statement using the law of syllogism. Use P, Q, and R.
If P, then Q. If Q, then R.
If P, then R.
What is the value of K?
87
The point (3,7) is rotated 90 degrees counterclockwise around the origin. What is the new coordinate?
(-7,3)
For which situation could you immediately prove that the triangles are congruent by the HL theorem?
III only
y=1/2*2^x
What is the inverse of the following statement?
If an animal has antlers, then it is a deer.
If an animal does not have antlers, then it is not a deer.
What is the slope of a line that is parallel to the line
2x-4y=7
-2
Which rigid motions could map ABCD to A’B’C’D’?
Reflect across x-axis and translate 9 units right.
SSA is not a congruence theorem. Which triangle congruence theorem could possibly be interpreted as SSA?
Hypotenuse-Leg
The equation of the line
y=4*5^x
What is the contrapositive of the following statement?
If a an animal has antlers, than it is a deer.
If an animal is not a deer, then it does not have antlers.
Give the slope-intercept form of the equation of the line that is perpendicular to
–4x – 8y = 10 and contains P(–8, –4).
y=2x+12
When comparing a sequence of reflections that result in the same image as a rotation, how is the angle made by the combined lines of reflection related to the angle of rotation?
a. The angle made by the combined lines of reflection is half the angle of rotation.
b. The angle made by the combined lines of reflection is the same as the angle of rotation.
c. The angle made by the combined lines of reflection is two times the angle of rotation.
d. The angle made by the combined lines of reflection is 90 degrees greater than the angle of reflection.
a
Draw on the board and name the five triangle congruence theorems we learned in class.
Check student answers