Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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concentric circles with center g have radii 5 and 11 as shown. which wo…
Dilate the smaller circle by a factor of $2.2$. Translate one of the circles so that the circles have the same center.
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eh is a diameter of ⊙d. the measure of $widehat{ef}$ is $(10x + 8)^{cir…
The value of $x$ is $5$. The measure of $\overset{\frown}{EF}$ is $58$ degrees. The measure of $\overset{\frown}{GH}$ is $55$ degrees.
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this activity will help you meet these educational goals: you will use …
Point D represents the in - center of triangle ABC (or a step towards finding the in - center as we have only considered two of the three angle bisectors so far). The in - center …
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how is a tangent different from a chord? explain
A tangent touches a curve at one point, while a chord connects two points on a curve.
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cd is a diameter of circle c. what is m∠cab? 90° 180° 219° 231° 51° 39°
\(180^{\circ}\)
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nl and mk are diameters of circle j. complete the statements about circ…
MP is a minor arc and measures 90 degrees. MLN is a semicircle and measures 180 degrees.
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which statements are correct? check all that apply. a chord is sometime…
B. A diameter is always a chord. C. A tangent is never a secant. E. A chord can be shorter than a radius of the same circle. G. A radius is always congruent to another radius of t…
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relating central angles and arc measures. complete the statements about…
A central angle, such as angle \(\angle WZX\) of circle \(Z\), is an angle whose vertex is \(Z\) and whose sides are radii of the circle. Angle \(\angle WXY\) is not a central ang…
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determining congruent circles circle a has a radius of 6. which circles…
circle D circle E circle F
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the blade is a circle and has a circumference of approximately inches. …
Approximately 33.4 inches
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identify the parts relating to ⊙a. what is (overparen{fc})? what is (ov…
What is $\overline{FC}$? chord What is $\overrightarrow{DB}$? tangent What is $\overrightarrow{DH}$? (No correct option in the list, but it's a secant - ray) What is $\overline{AC…
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select the correct answer from the drop - down menu. when the angle of …
42.9 feet
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a composite figure is shown. the surface area is 924π square units. the…
The height of the cone is 12 units. The height of the cylinder is 48 units.
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sketch θ = \frac{5pi}{4} in standard position. drag to show the angle.
To sketch $\theta = \frac{5\pi}{4}$ in standard position, place the vertex at the origin, the initial side on the positive $x$ - axis, and rotate counter - clockwise by $225^{\cir…
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which circle c shows a chord that is not a diameter?
The fourth circle shows a chord that is not a diameter.
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select the correct answer. a farmers silo is a cone on top of a 100 - f…
9 feet
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question 6 of 20. segment ab is tangent to the circle at point a. what …
$45$
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circle p has a radius of 50 yards. major arc rst on the circle has a ce…
$\frac{1075\pi}{18}$ yards
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question 3 of 20. type the correct answer in each box. use numerals ins…
length = 18 height = 6 width = 2
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a circle has an equation of (x - 5)^2+(y - 1)^2 = 30. what is the cente…
Center: \((5,1)\), Radius: \(\sqrt{30}\)
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select the correct answer. if the side length of square a is 12 times t…
The perimeter of square A is 12 times the perimeter of square B.
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in circle p, the measure of ∠qps is 15° and rq is a diameter. find the …
\(m\widehat{QS}=15^{\circ}\) \(m\widehat{ST}=105^{\circ}\) \(m\widehat{TR}=60^{\circ}\)
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find the exact values of the six trigonometric functions of the angle. …
$\sin(-1500^{\circ})=-\frac{\sqrt{3}}{2}$ $\cos(-1500^{\circ})=\frac{1}{2}$ $\tan(-1500^{\circ})=-\sqrt{3}$ $\cot(-1500^{\circ})=-\frac{\sqrt{3}}{3}$ $\csc(-1500^{\circ})=-\frac{2…
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find the exact values of the six trigonometric functions of the angle. …
\(\sin(-690^{\circ})=\frac{1}{2}\) \(\cos(-690^{\circ})=\frac{\sqrt{3}}{2}\) \(\tan(-690^{\circ})=\frac{\sqrt{3}}{3}\) \(\cot(-690^{\circ})=\sqrt{3}\) \(\csc(-690^{\circ}) = 2\) \…
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find the exact values of the six trigonometic functions for the followi…
$\sin135^{\circ}=\frac{\sqrt{2}}{2}$ $\cos135^{\circ}=-\frac{\sqrt{2}}{2}$ $\tan135^{\circ}=-1$ $\cot135^{\circ}=-1$ $\sec135^{\circ}=-\sqrt{2}$ $\csc135^{\circ}=\sqrt{2}$
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find the exact value of csc 45°. csc 45° = (simplify your answer, inclu…
$\sqrt{2}$
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find one solution for the equation. assume that all angles involved are…
$19$
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find a cofunction with the same value as the given expression. csc 42° …
B. $\sec48$
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suppose abc is a right triangle with sides a, b, and c and right angle …
The unknown side length b is $\sqrt{13}$ $\sin B=\frac{\sqrt{13}}{7}$ $\cos B=\frac{6}{7}$ $\tan B=\frac{\sqrt{13}}{6}$ $\sec B=\frac{7}{6}$ $\csc B=\frac{7\sqrt{13}}{13}$ $\cot B…
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flect the figure over the line $y = -\frac{1}{3}x - 1$. plot all of the…
To reflect a point $(x_0,y_0)$ over the line $y = mx + c$ (where $m=-\frac{1}{3}$ and $c = - 1$), we use the following general - formula for reflection of a point $(x_0,y_0)$ over…
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reflect the figure over the line $y = -\frac{1}{3}x - 1$. plot all of t…
Use the transformation formulas $x'=\frac{4}{5}x-\frac{3}{5}y-\frac{3}{5}$ and $y'=-\frac{3}{5}x+\frac{4}{5}y-\frac{4}{5}$ to find the coordinates of the reflected points of the v…
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reflect the figure over the line $y = -\frac{1}{3}x - 1$. plot all of t…
Use the transformation formulas $x_1=\frac{4}{5}x_0-\frac{3}{5}(y_0 + 1)$ and $y_1=-\frac{3}{5}x_0-\frac{4}{5}y_0-\frac{9}{5}$ to find the coordinates of the reflected vertices of…
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identify all possible quadrants of an angle θ that satisfies the given …
D. Quadrant I
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an equation shown below for the terminal side of an angle θ in standard…
$\sin\theta=\frac{\sqrt{5}}{5},\cos\theta=-\frac{2\sqrt{5}}{5},\tan\theta=-\frac{1}{2},\csc\theta=\sqrt{5},\sec\theta=-\frac{\sqrt{5}}{2},\cot\theta=-2$
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un pâtissier utilise des moules rectangulaires dont les dimensions sont…
The lengths are \(15\) cm, \(22.5\) cm, \(30\) cm, \(35\) cm.
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which statements are correct? check all that apply. arc gf is a major a…
Arc FE is a minor arc. The measure of \(\widehat{FE}\) is 41°. The measure of \(\widehat{GE}\) is equal to the measure of ∠GDE. Arc GHE is a semicircle.
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there are two similar triangles in the diagram. find the unknown measur…
160
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find the unknown side length labeled with a variable in the given pair …
$12$
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find the unknown angle measure in the pair of similar triangles. angle …
angle B = $101^{\circ}$ angle M = $11^{\circ}$ angle A = $68^{\circ}$
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the measures of two angles of a triangle are given. find the measure of…
$16^{\circ}47'$
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find the measure of each marked angle. $x^{circ}=square^{circ}$ $(x + 3…
\(x^{\circ}=30^{\circ}\) \((x + 30)^{\circ}=60^{\circ}\) \((180-3x)^{\circ}=90^{\circ}\)
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find the angle of least positive measure (not equal to the given measur…
$78$
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which circle with center u shows a central angle whose intercepted arc,…
The second circle (the one with \(\angle ZUV = 58^{\circ}\) and vertex \(U\) at the center of the circle)
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convert the following angle to degrees, minutes, and seconds form. $alp…
$-14^{\circ}11'10''$
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convert the following angle to decimal degrees. $alpha = 75^{circ}2035$…
$75.343$
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find the measure of the indicated angles. supplementary angles with mea…
59,121
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find the complement and the supplement of the given angle. 31°. the com…
The complement of the angle is $59^{\circ}$. The supplement of the angle is $149^{\circ}$.
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what is the meaning of the term \angle of elevation\? choose the correc…
A. If B is a point above point A, as shown in the figure, then the angle of elevation from A to B is the acute angle formed by the horizontal line through A and the line of sight …
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solve the right triangle abc, where c = 90°. give angles in degrees and…
b $\approx$ 18.97 m A = 34$^{\circ}$6$'$ B = 55$^{\circ}$54$'$
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solve the right triangle abc, with c = 90°. b = 63.9°, b = 113 in. a = …
\(A = 26.1^{\circ}\) \(a\approx55.2\) in. \(c = 126\) in.
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a rectangles length is 5 inches more than twice its width. its area is …
C. $w(2w + 5)=50$
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which of the following statements is true about rotation about the orig…
The path of a point on the figure as it rotates is an arc centered at the origin. A rotation turns the figure about the origin by a given angle. The distance between the point and…
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which of the following best describes a 90° rotation of a point around …
The point moves to a new position on a circle centered at the origin, creating a right angle with its original position.
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which of the following statements is true about a 180° rotation of a tr…
The shape and size of the triangle remain the same, but its orientation changes.
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convert the point from rectangular coordinates to spherical coordinates…
$(\sqrt{6},\pi - \arctan(2),\arccos(\frac{1}{\sqrt{6}}))$
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convert the point from rectangular coordinates to cylindrical coordinat…
\((6\sqrt{3},\frac{\pi}{6}, - 1)\)
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find an equation in rectangular coordinates for the surface represented…
$(x - \frac{5}{2})^{2}+y^{2}=\frac{25}{4}$
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find an equation y = mx + b for the line whose graph is sketched ( clic…
The number \(m\) equals \(5\); The number \(b\) equals \(-5\)
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question 9 2 pt which of the dropdown items is not a tool that can be u…
Protracter
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question 8 point p is the midpoint of de, dp = 3x + 2, and de = 10x - 1…
4
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the measure angle ∠bqs of is 80°. what is the m∠ angle nqs? hint: m<bwn…
32
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question 2 2 pts given the statement: \if two lines intersect, then the…
B. two lines intersect
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question 1 3 pts select the 3 undefined terms of geometry hint: what ar…
B. Point, Line, Plane
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question: a circle has a radius of 15 inches. what is the area, in squa…
C. $225\pi$
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ntitative reasoning, algebra, and statistics - ques instructions choose…
2,200
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question 19 what is the value of the angle marked with x? a) 146 b) 416…
A. 146 ### Question 20
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question 17 1 point(s) name all the sides of the triangle below a) mn b…
Question 17: A. MN, B. NO, D. MO Question 18: B. R, D. S
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name all the vertices of the image below a b c d e a) a b) b c) c d) d …
A. A, B. B, C. C, D. D, E. E
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what is the value of x in the figure shown below? a) 31 b) 38 c) 111 d)…
A. 31
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what is the value of x in the figure shown below? a) 32 b) 66 c) 82 d) …
C. 82
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instructions solve the following problem and choose the best answer. qu…
$8-\frac{x}{2}-\frac{\pi x}{2}$ (It seems there is a mistake in the provided options as the correct expression we derived doesn't match exactly, but the closest form based on the …
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what is the value of xxx in the figure shown below? a) 4 b) 30 c) 116 d…
C. 116
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instructions solve the following problem and choose the best answer. qu…
A. A
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ab = 2x - 4 given ab = bc given bc = 16 given segment congruence postul…
$AB = BC$
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which property/postulate needs to be used for the blank in the paragrap…
D. substitution property
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m∠bad = m∠bac + m∠cad m∠bac = 20° given m∠cad = 15° given m∠bad = 20° +…
Angle Addition Postulate
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which sentences feature a first - person point of view? select three an…
1. My friend likes cars with a lot of horsepower, but I prefer good gas mileage. 2. I spent last night studying for the geometry test we're taking in fifth period. 3. Although his…
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let v be the vector from the point (0, 4, 0) to the point (8, -6, 4), t…
$\langle8,-10,4 angle$
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let the direction vector of the line be u = <p, q, r>. to find u and a …
$u=(2,-1,1)$; $(x_1,y_1,z_1)=(0,4,0)$
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a rectangle has a height of x and a width of 7x - 4. express the area o…
$7x^{2}-4x$
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graph the image of parallelogram bcde after a rotation 270° countercloc…
Graph the new parallelogram formed by the rotated vertices as described above. (Since the actual coordinates of $B$, $C$, $D$, $E$ are not given numerically, a numerical answer fo…
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graph the image of rhombus abcd after a rotation 180° counterclockwise …
Graph the points $A'(-5,-1)$, $B'(-5,-6)$, $C'(-7,-10)$, $D'(-7,-5)$ and connect them to get the rotated rhombus.
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the rectangle below has an area of $x^{2}-15x + 56$ square meters and a…
$x - 8$
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the rectangle below has an area of 81 - x^2 square meters and a width o…
$9 + x$
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the rectangle below has an area of $x^{2}-16$ square meters and a width…
$x - 4$
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solve the inequality and graph the solution. \\(\\frac{y - 4}{2}\\leq1\…
The solution of the inequality is $y\leq6$. On the number - line, place a closed - circle at 6 and draw a ray to the left.
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solve the inequality and graph the solution. -16 > 8(a - 10) plot the e…
The solution of the inequality is $a < 8$. On the number - line, we use an open circle at 8 (because the inequality is strict, $a$ cannot equal 8) and shade the line to the left o…
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solve the inequality and graph the solution. -3(f - 2) + 18 ≤ 12 plot t…
The solution of the inequality is f≥4. On the number - line, we plot a closed circle at 4 (because the inequality is "greater than or equal to") and draw a ray to the right of 4.
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the rectangle below has an area of x² - 4x - 12 square meters and a len…
$x - 6$
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draw and label each of the following. 1. $overleftrightarrow{ab}$ 2. po…
1. **For drawing $\overrightarrow{AB}$**: - Draw a straight - line. Mark two points $A$ and $B$ on the line. Place an arrowhead starting from $A$ and pointing towards $B$. 2. **Fo…
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solve the inequality and graph the solution. 1 < \\frac{p - 10}{-7} plo…
The solution of the inequality is $p < 3$. On the number - line, we use an open - circle at $p = 3$ (since the inequality is strict, $p$ cannot equal 3) and draw an arrow to the l…
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solve the inequality and graph the solution. \\(\\frac{h + 10}{6}\\leq3…
The solution of the inequality is $h\leq8$. On the number - line, we place a closed circle at 8 (since the inequality is $\leq$) and draw a ray to the left of 8.
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solve the inequality and graph the solution. \\(\\frac{f + 1}{3}>-1\\) …
The solution of the inequality is $f>-4$. On the number - line, there is an open - circle at $-4$ and a ray extending to the right.
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solve the inequality and graph the solution. \\(\\frac{t + 1}{3}< - 1\\…
The solution of the inequality is $t<-4$. On the number - line, we use an open - circle at $t = - 4$ (because the inequality is strict, $t$ cannot equal to - 4) and draw a ray to …
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question 2 graph the line through the points (-6,2) and (6,-6). write a…
$y =-\frac{2}{3}x - 2$
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lesson 4 homework (x - 2)^2+(y + 4)^2 = 9 to graph the circle, drag the…
The center of the circle is $(2,-4)$ and the radius is $3$. To graph it, place the center point at $(2,-4)$ on the coordinate plane and then draw a circle with a radius of 3 units…
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lesson 4 homework graph the circle given below by moving the key points…
The center of the circle is at the point $(4,-3)$ and the radius is $2$ units. On the graph, drag the center point to $(4,-3)$ and the radius point such that the distance from the…
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son 4 homework $(x - 5)^2+(y + 6)^2 = 1$ to graph the circle, drag the …
The center of the circle is $(5,-6)$ and the radius is $1$. To graph it, place the center at the point $(5,-6)$ on the coordinate - plane and draw a circle with a radius of $1$ un…
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lesson 4 homework (x + 3)^2+(y - 4)^2 = 1 to graph the circle, drag the…
The center of the circle is $(-3,4)$ and the radius is $1$. To graph it accurately, place the center at the point $(-3,4)$ on the coordinate - plane and draw a circle with a radiu…
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lesson 4 homework use the distance formula, given two points question f…
$2\sqrt{37}$