Algebra Review
Write two fractions that would simplify to 2/3
answers may vary
Draw and define Angle Bisector
Divides angle into two congruent angles
If each exterior angle on a regular polygon has a measure of 10o, how many sides will the polygon have?
n = 36; this polygon has 36 sides.
Define the sides of a right triangle
Opposite, Adjacent, and Hypotenuse
What is the phrase (mnemonic) we use to remember the trigonometric ratios?
SOH CAH TOA
Find x: 3x + 4 = 8x – 16
x=4
Draw and define corresponding angles
Angles that occupy the same relative position
The interior angle of a regular n-gon measures 168o How many sides does the shape have?
n=30
Define and draw an equilateral triangle
A triangle that has equal sides and equal angles
The sine of any right triangle is given by comparing these two sides
Opposite/hypotenuse
Solve for m: 4m – 3 + m = -2(8 – m)
m= -13/3
Define and draw a midsegment
A segment that connects the midpoint of two sides
The measure of one interior angle of a regular polygon is 144°. How many sides does it have?
n = 10; this polygon has 10 sides.
Find the hypotenuse of a right triangle if two of the legs are 3 and 4
hypotenuse=5
Find the cosine of an angle in a right triangle whose hypotenuse is 10 and adjacent side is 8
cos(@) = 0.8
In the xy-plane, the point (3, 6) lies on the graph of the function f(x) = 3x2 – bx + 12. What is the value of b?
b=11
Draw and Define a Perpendicular Bisector
A segment that is perpendicular to a side and bisects that side
The floor of a gazebo is in the shape of a heptagon. Four of the exterior angles measure 45°. The other exterior angles are congruent. Find the measure of the remaining exterior angles.
x = 60° → The remaining exterior angles of the heptagon are 60°.
Find the missing two angles of a Isosceles triangle. One of the non-base angles is 30 degrees
30+ 2x=180
x=75
A right triangle has an angle of 43o and its opposite side has a length of 10. Find the missing lengths.
Answer: Adj=10.72 Hyp=14.66
Evaluate the function h(x) = 4x – 2 at x = a and x = a + 2.
ANSWER: h(a) = 4(a) – 2 = 4a – 2
h(a) = 4a – 2 h(a + 2) =
4(a + 2) – 2= 4a + 8 – 2 = 4a + 6 h(a + 2) = 4a + 6
What is the difference between supplementary angles and a linear pair? Use a visual as well to justify!
Two supplementary angles might or might not form a linear pair, they just have to "supplement" each other, that is their sum should be 180o
The measure of an exterior angle of a regular polygon is 2x. The measure of an interior angle is 4x. Find the number of sides in the polygon, and the type of polygon.
n = 6
This polygon is a regular hexagon.
What are the formulas of the side values for a right triangle that has 30o 60o 90o?
Opp :x(square root of 3), Adjacent side:x, and hypotenuse: 2x
A hot air balloon has taken off and is now 5 miles away from the starting platform and 1 mile off the ground. If you stood on the starting platform and looked at the balloon , what is the angle of elevation?
Angle of Elev = tan-1(1/5) = 11.31o