Angles
Lines/Transversals
Triangles
Special Right Triangles
Pythagorean Theorem
Trig Ratios
Distance and Midpoint
100
List all that apply.
Complementary
100
Classify the given angles.
a) ∠6 and ∠7 b) ∠5 and ∠3 c) ∠1 and ∠3
a) Alternate Exterior (Congruent)
b) Consecutive (Same Side) Interior Angles (Supplementary)
c) Corresponding Angles (Congruent)
100
Solve for x. Classify the triangles by its sides and angles.
x = 23
Right Scalene triangle
100
A 45°-45°-90° triangle has a leg which is 6 in. What are the dimensions of the other sides of the triangle?
a = 6
b = 6
c = 6sqrt2
100
Determine whether the side lengths represent a right triangle.
14, 21, 25
It is not a right triangle.
100
Find the the value for each trigonometric ratio. Round to the nearest thousandths place.
a) cos 78°
b) tan 13°
c) sin 28°
a) cos78°≈0.208
b) tan13°≈0.231
c) sin28°≈0.469
100
Find the midpoint of the segment with the given endpoints.
(-3, 4),(-1, 6)
M = (-2, 5)
200
List all that apply.
adjacent and supplementary
200
If m∠8 = 48°, then what are the measures of the other angles?
m∠1 = 132° m∠5 = 48°
m∠2 = 132° m∠6 = 48°
m∠3 = 132° m∠7 = 48°
m∠4 = 132° m∠8 = 48°
200
Solve for x. Classify the triangle based on its sides and angles.
x = 104
Obtuse Isosceles Triangle
200
A 30°-60°-90° triangle has a short leg that is 18 cm long. What are the dimensions for the longest leg and hypotenuse?
a = 18 in (short leg)
b = 18sqrt3
c = 18 x 2 = 36
200
Solve for x.
x = 39
200
Find the missing side. Round to the nearest tenth if necessary.
x ≈10.9
200
Find the distance between the given points.
(11, -2), (7, -5)
d = 5 units
300
Find the value for x. What is the degree measure for each angle?
x = 19
167° for each angle because they are vertical angles and are congruent
300
Solve for x. 
x= 18
300
Solve for x. Classify the triangles based on its sides and angles. 
x = 60°
Acute Equilateral Triangle
300
In a 45°-45°-90° has a hypotenuse that is
10sqrt2
then what is the dimension for each leg of the triangle?
a = 10
b = 10
c = 10sqrt2
300
Solve for x. Simplify if necessary.
x= sqrt(72)
x = 6sqrt(2)
300
Find the each angle measure to the nearest degree.
a) sin W = 0.7880
b) cos U = 0.8290
c) tan A = 7.1154
a) m∠W ≈ 52°
b) m∠U ≈ 34°
c) m∠A ≈ 82°
300
Find the distance between each given point. 
d = sqrt65
400
Find the m∠JML, m∠PMK, and m∠PMN
m∠JML = 26°
m∠PMK = 90°
m∠PMN = 64°
400
Solve for x. What is the degree measure for the given angles?
x = 9
53° and 127°
400
Find the value of x and the degree measures for each angle.
x = 9
∠J = 57°
∠K = 44°
∠L = 79°
400
in a 30°-60°-90° the longest leg is
12sqrt3
what are the dimensions for the other sides?
a = 12 (short leg)
b = 12sqrt3
c = 24 (hypotenuse)
400
If a 40-foot tall ladder is placed 15 feet from the base of a house, how high up the house will the ladder reach? Round your answer to the nearest tenth.
h = 37.1 ft
400
Find the measure of the missing angle to the nearest degree.
tan x =
38/23
tan^-1(38/23) ≈ 59°
400
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (10, 5), Midpoint: (-4, -4)
Endpoint 2: (-18, -13)
500
Find each measure.
x = 46°
z= 134°
y = 46°
500
Find the measure for ∠1.
x = 13
m∠1 = 79°
500
Find the missing measures.
m∠1 = 75°
m∠2 = 56°
m∠3 = 124°
m∠4 = 41°
500
An equilateral triangle has a side that is 8 units long. What is the height of the triangle?
h = 4sqrt3
500
Starting from the same spot in the woods, Presley ran 24 meters north to camp while her sister Ava ran 16 meters west. From this point, how far will Ava need to travel to reach camp? Estimate to the nearest meter.
c = 28.8 ≈29m
500
The deck of a moving truck is only 2 ft above the ground. If a ramp is 10 ft long, what angle does it make with the ground? Estimate to the nearest degree.
sin x = 2/10
sin^-1(2/10) ≈ 12°
500
Tell which segment is longer.
AB has endpoints A(-1, -2) and B(6, 1). PQ has endpoints P(1, 1) and Q(6, 7).
AB = 7.6 units long
PQ = 7.8 units
PQ is longer