What are the coordinates of the center and the length of the radius of the circle whose equation is \( (x+ 1)^2 + (y - 5)^2 = 16\)?
(1, -5) and 16
(-1, 5) and 16
(1, -5) and 4
(-1, 5) and 4
Line ℓ passes through the point (5,3) and is parallel to line k whose equation is \(5x + y = 6\). An equation of line ℓ is
\(y = \frac{1}{5}x + 2\)
\(y = -5x - 28\)
\(y = \frac{1}{5}x - 2\)
\(y = -5x + 28\)
In the diagram below, \(\overline{AC}\) and \(\overline{BC}\) are tangent to circle O at A and B, respectively, from external point C. If \(m\angle ACB = 38\), what is \(m\angle AOB\)?
71
104
142
161
Based on the construction below, which conclusion is not always true?
\(CE = DE\)
\(AE = EB\)
\(\overline{AB}\perp\overline{CD}\)
\(AB = CD\)
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
6
8
12
15
In triangles \(ABC\) and \(DEF\), \(AB = 4\), \(AC = 5\), \(DE = 8\), \(DF = 10\), and \(\angle A \cong \angle D\). Which method could be used to prove \(\triangle ABC \sim \triangle DEF\)?
AA
SAS
SSS
ASA
Secants \(\overline{JKL}\) and \(\overline{JMN}\) are drawn to circle O from an external point, J. If \(JK = 8\), \(LK = 4\), and \(JM = 6\), what is the length of \(\overline{JN}\)?
16
10
In the diagram below of circle O, chord \(\overline{AB}\) is parallel to chord \(\overline{GH}\) . Chord \(\overline{CD}\) intersects \(\overline{AB}\) at \(E\) and \(\overline{GH}\) at \(F\). Which statement must always be true?
\(\overset{\frown}{AC} \cong \overset{\frown}{CB}\)
\(\overset{\frown}{DH} \cong \overset{\frown}{BH}\)
\(\overset{\frown}{AB} \cong \overset{\frown}{GH}\)
\(\overset{\frown}{AG} \cong \overset{\frown}{BH}\)
Which equation represents a line that is parallel to the line whose equation is \(3x - 2y = 7\)?
\(y = -\frac{3}{2} x + 5\)
\(y = -\frac{2}{3} x + 4\)
\(y = \frac{3}{2} x - 5\)
\(y = \frac{2}{3} x - 4\)
Square ABCD has vertices A(2,3), B(4,1), C(2,5), and D(4,3). What is the length of a side of the square?
\(2 \sqrt{5} \)
\(2 \sqrt{10} \)
\(4 \sqrt{5} \)
\(10 \sqrt{2} \)
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