WorksheetsGeometry Day 2 Final ACC
Total questions: 35
Worksheet time: 53mins
Classifying the following the triangle as many ways as possible.
Acute, Scalene
Right, Scalene
Obtuse, Scalene
Acute, Isosceles
Obtuse, Isosceles
Find m∠A.
180
70
54
56
7
A triathlon event in which participants run, bike, and swim certain distances is mapped out in a triangle shown in the picture. Which of the following statements is true, choose all that apply?
This distance of the run is greater than the distance of the swim
This distance of the biking is greater than the distance of the run
This distance of the swim is greater than the distance of the biking
This distance of the biking is greater than the distance of the swim
Not enough information to solve the distances
What is the value of (?)
90 degrees
80 degrees
70 degrees
60 degrees
40 degrees
Fill in the missing proofs.
Transitive Property, SAS(Side-Angle-Side)
Reflexive Property, SAS(Side-Angle-Side)
Reflexive Property, Vertical Angles Thm.
Transitive Property, SSS(Side-Side-Side)
Vertical Angles, ASA (Angle-Side-Angle)
How are these triangles congruent?
AAA
AAS
ASA
HL
Not enough information
Find x.
x = 118
x = 31
x = 23
x = 62
Not enough information
What is the measure of angle b?
36o
56o
63o
81o
117o
The triangles are congruent. Which of the following statements must be true?
∠A ≅ ∠D
∠B ≅ ∠E
AB ≅ DE
BC ≅ FD
∠C ≅ ∠F
∆EHG≅∆KFC
Choose ALL true statement?
EH≅FK
HG≅KC
EG≅KC
∠G≅∠C
∠G≅∠F
What is the value of x?
20o
60o
15o
40o
8 in.
What is the length of EF?
8
9
16
17
18
Choose all the sets of triangles are congruent
Line segment AB is drawn midpoint M. A bisector is drawn through point M. Mark claims that any point on the bisector drawn drawn through point M is equidistant from A and B
The bisector must be the same length as AB
The bisector must be perpendicular to AB
The bisector must intersect but not cross AB
The bisector must contain a finite number of points
There is no additional information needed for Calley's Claim
Choose all the statements that would prove the two triangles congruent
U is the midpoint of segment XV
U is the midpoint of segment YW
Segment XY is congruent to segment WV
Angle X is congruent to angle V
Angle Y is congruent to angle W
Are these triangles congruent? If so, state all the rules which you used to determine congruence.
SAS
SSS
ASA
AAS
HL
Congruent by
Not enough information
SAS
ASA
AAS
HL
How are these two triangles congruent?
Not enough information
SAS
ASA
SSA
HL
Are the triangles congruent, if yes, why?
SAS
ASA
AAS
Not Congruent
HL
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
19 degrees
45 degrees
71 degrees
70 degrees
20 degrees
What trigonometric ratio would be used to find the distance from the ship to the plane?
sine
cosine
tangent
inverse cosine
inverse tangen
Solve for the missing angle
41.4
0.013
36.9
48.6
53.1
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. How far is the boat from the top of the lighthouse??
100 feet
45 feet
110 feet
135 feet
81 feet
Which scenario describes the picture shown?
A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?
A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?
An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?
A 5 foot man is 8 feet away from a building. What is the angle of elevation?
None of the scenarios match the picture, there is not enough information giving to create a problem
Choose the correct ratio.
cos(33)=x/14
sin(33)=x/14
cos(33)=14/x
sin(33)=14/x
tan(33)=x/14
Choose the ALL correct trig ratios
sinZ=5/13
sinX=5/13
cosX=13/12
tanZ=12/5
tanX=12/5
What is the correct ratio?
3/5
3/4
4/5
4/3
5/4
Choose ALL the trig functions that are equivalent to cos(43) =
sin(43)
sin(47)
1/sin(43)
cos(47)
tan(47)
What is the measure of <A?
xo
(90 - x)o
(x + 90)o
(180 - 2x)o
Not enough information
You have a 25 foot tall ladder that when placed 10 feet away from the house, how far to the nearest foot up the house does the ladder reach?
25 feet
29 feet
27 feet
23 feet
21 feet
A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest foot that a 3rd baseman has to make if he throws a ball from third base to first base.
90
127
112.5
128
135
Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.
19 degrees
20 degrees
28 degrees
35 degrees
45 degrees
Complete the congruence statement.
OEG
OGE
EGO
GOE
Not enough information
Which expression best describes the transformations shown in the graph?
same orientation, reflection
opposite orientations, reflection
same orientation, rotation
opposite orientations, translation
same orientation, translation
Given the transformation shown in the graph, choose ALL of the true statements about the transformation.
The length of the sides (distance) is preserved in a dilation
The orientation is preserved in a dilation
Angles remain congruent under this transformation
The scale factor of the triangles doubles making the two triangles similar under this transformation
The triangles remain congruent under this transformation
