What is the term that is defined as two intersecting lines that form four right angles in a plane?
Perpendicular lines
Triangle EFG is shown where EF=GF. What is the measure of ∠EFG?
∠EFG=40°
Triangle XYZ is shown. What transformation results in a triangle that is similar, but not congruent?
Any type of dilation
A company surveys people in a city to find the type of cell phone plans they have and which provider the use. The results are shown in the table. What is the probability that a randomly selected person who has a plan with Provider B has unlimited usage?
14/20
Select all of the figures that appear to have at least one line of symmetry.
A,C,D,F
What is the slope of a line that is perpendicular to the graph of
y=5/4x - 3/2
m=-4/5
Two similar triangles, △ABC and △JKL are shown. What is the length of side JL?
Side JL = 7.5 units
Megan dilates △JKL about point J by a scale factor of 3/5 to create △JNO. What is the length, in inches, of side NO?
NO = 6 inches
Alicia surveys 31 people. She finds that 11 people speak Spanish, 17 people speak German, and 13 people speak French. Part of the data she collects is shown in the Venn diagram. How many people speak both French and Spanish but not German?
2 people
Triangle PQR is shown where line ST is parallel to line RQ. Marta wants to prove that SR/PS=TQ/PT. Which statement or reason is next for Marta's proof?
(AA Similarity, ASA Similarity, SSS Similarity, Reflexive Property, Segment addition postulate, Corresponding sides of similar triangles are congruent)
AA Similarity
Line k has a slope of -5. Line j is perpendicular to line k and passes through the point (5,9).
What is the equation for line j in slope intercept form?
y=1/5x + 8
A lamppost casts a shadow of 20 feet (ft) along the ground, as shown. The measure of angle C is 58 degrees. What is the height, h, of the lamppost of the nearest foot?
h= 32 feet
A transformation is performed on triangle M to create triangle N, as shown. Which transformation was performed?
A reflection across the line y=x
The probability of event A is 0.6. The probability of event B is 0.7.
A and B are independent events.
What is the probability of A and B?
P (A and B) = 0.42
Iris created a pyramid-shaped figurine out of solid aluminum with the dimensions shown. Iris sells all of her figurines for $7.50 per cubic inch. What is the price of this figurine?
$15
What is the equation in slope intercept form of the line that is perpendicular to line m and passes through the point (3,2)?
y=2/5x + 4/5
A hot air balloon is launched and drifts over a boat. The balloon's altitude increases at a constant rate. The balloon is directly above a boat 400 feet away from the launching point 5 minutes after it is launched. The angle of elevation is 72°.
What is the change in the altitude, in feet, of the hot air balloon each minute?
246 feet/min
Triangle ABC has vertices A (1,1) B (2.5,3) and C(0,-3). It is dilated by a scale factor of 1/2 about the origin to create triangle A'B'C'. What is the length, in units, of side B'C'?
B'C'=3.25
Events A and B are independent.
P(B) = 0.6 and P(A and B) = 0.3.
What is P(A)?
P(A)=0.5
Quadrilateral ABCD is inscribed in circle O, as shown. What is the measure, in degrees, of ∠CDA?
m∠CDA=82°
Isosceles triangle JKL has a perimeter of 32 units and the given vertices.
J(-3,-9) K(-3,6) L(x, 1.5)
What is a possible x-coordinate for point L?
x= -7 or x = 1
Triangle MKL is similar to triangle MNO and NO=15, as shown. The sine of ∠MKL is 0.8. What is the length in units of side MO?
MO=12 units
A translation is applied to △PQR to create △P'Q'R.
Let the statement (x,y) ---> (a,b) describe the translation. Create equations for a in terms of x and for b in terms of y that could be used to describe the transformation.
a=x-4
b=y+3
A high school teacher surveyed 700 junior and senior students to see whether they preferred biology or chemistry. Out of all the juniors, 35% said they preferred chemistry. Out of all the students, 56% said they preferred biology. Complete the table and then find the exact probability that a student is a senior given that the student preferred biology.
171/392
Triangle ABC is shown. Complete the proof.
(AA congruency, SAS congruency, SSS congruency, Corresponding parts of congruent triangles are congruent, Reflexive property, Symmetric property, Midpoint theorem)
5. Reflexive 6. SSS 7. CPCTC