Congruence and Proof
Similarity and Trigonometry
Circles
Probability
Miscellaneous
100
Triangle MNO is shown.
Which triangle can be shown to be congruent to triangle MNO with only the given information?
Triangle D by SAS
100
Right triangle ABC is shown. Write two expressions that are equal to the length of the side BC.
sqrt(6^2-4.9^2
4.9/tan(55)
6cos(55)
100
Angle ABC is inscribed in a circle as shown.
What is the measure, in degrees, of angle ABC?
60
100
What percentage of people who earned a high school diploma make more than $30,000?
76%
100
Find the area of this figure.
133 m2
200
The measure of angle Q is 70 degrees. What is the measure of angle P?
40 degrees
200
A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox.
Drawings of both sandboxes are shown.
What is the perimeter, in feet (ft), of Todd's sandbox?
20.8ft
200
Quadrilateral ABCD is inscribed in circle O, as shown.
Find the value of y in degrees.
97
200
Two events, A and B, are independent.
- P(A) = 0.3
- P(A and B) = 0.24
What is P(B)?
4/5
200
6 cm
300
2/5
300
Triangle XYZ is shown.
A
300
Match each diagram to all the terms that describe it.
300
One letter is chosen at random from the word CAT and FROG. Write all the outcomes in the sample space of this chance experiment.
CF, CR, CO, CG, AF, AR, AO, AG, TF, TR, TO, TG
300
Line AC is tangent to circle O at point C. The radius of circle O is 1 unit and line AC is 1.5 units. Find the length of segment AB.
0.8 units
400
400
Find the area of the figure.
98.2 units2
400
The equation of a circle is shown.
x^2+y^2-10x+8y+16=0
What are the radius and center of the circle?
Radius: 5
Center: (5,-4)
400
A report in the college newsletter used the registrar's database for all students in the school to look at majors and classes being taken this semester. The report includes the sentences:
- One fifth of the students at the school are taking a science class this semester
- A quarter of the students at the school are majoring in English
- Three hundred of the 6,000 students at the school are English majors taking science classes
For a follow up story, a reporter plans to visit a science class and select a student at random in the class to interview. Find the probability that the selected student in the science class is an English Major.
1/4
400
A. 2
B. -10
500
Complete the proof using the word bank below.
500
A map of Jane's town with her home and workplace is shown.
Jane wants to determine the shortest route from her home to her workplace. She walks only on the sidewalks indicated by dotted lines on the map.
What is the distance of the shortest route, to the nearest whole block?
15.3 (15 and 16 are also accepted)
500
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. What is the area of the top surface of this wedge? Either put your answer in pi form or round to the nearest hundredth.
(25pi)/2
500
Use the Venn Diagram below to answer the following questions.
a. How many total people are represented in the diagram?
b. If one person is chosen at random, what is the probability that that person will like country and rap music?
c. If a person who liked country music was chosen at random what is the probability they also like rock music?
a. 86
b. 8/86
c. 15/33
500
Plot the following quadrilateral on a grid. A (3, -2), B (7,0), C (6,-3), D(2,-5) . Next, reflect the quadrilateral over the line y=3 and label those coordinates E, F, G, H.
