Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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4. a right - angle is an angle with a measure of a. greater than 90 but…
4. D. 90 5. D. Noncollinear 6. B. sides 7. E. Definition of an angle bisector 8. C. Division Property 9. A. Subtraction Property 10. E. Transitive Property; Multiplication Propert…
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company sells two storage containers with different dimensions. each co…
(a) Volume = 22.5 ft³ (b) Width = 2.2 ft
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(a) one block has a length of 4 1/4 in, a width of 3 in, and a height o…
(a) $51$ in³ (b) $1\frac{3}{4}$ in
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in the figure below, m∠wxz = 112°, and m∠2 is three times m∠1. find m∠1.
$28$
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in the figure below, m∠wxz = 76°, and m∠1 is 32° more than m∠2. find m∠…
$22$
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in the figure below, m∠abd = 63°, and m∠1 is two times m∠2. find m∠2.
$21$
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circle n has a radius of 9 millimeters(mm). circle m has an area of 25π…
b. $106\pi$
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picture jasmine enlarged the size of a picture to a height of 15 inches…
$22.5$
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a classroom board is 16 inches wide and 14 inches tall. nita is putting…
D. 60 inches
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1. volume may be described as the 2. what is the maximum number of unit…
1. The height of the cylinder is 5 cm. 2. The maximum number of unit - cubes that the box can hold is 750.
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the perimeter of an equilateral triangle is 876 centimeters. the three …
\(\frac{292}{3}\)
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find the measure of the side of the right triangle whose length is desi…
89
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in triangle abc, the measure of angle a is 58 and ac = 30. in triangle …
d. the measures of angle B and angle Q are 58 and 34 respectively
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6. the point (16, 0) is reflected over the x - axis. 7. the point (5, 5…
6. $(16,0)$ 7. $(-5,-5)$ 8. $(-2,-10)$ 9. $(1,1)$ 10. $(0,-14)$ 11. $(7,-21)$
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click and drag to plot a parallel line. the line will change colors whe…
Original Slope: \(-\frac{7}{3}\) Parallel Slope: \(-\frac{7}{3}\)
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find the length of the arc, s, on a circle of radius r. radius, r = 20 …
$\frac{200\pi}{9}$ feet $69.81$ feet
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coordinate plane 1. the point (5, 7) is reflected over the y - axis. 2.…
# Explicación: ## Paso 1: Regla de reflexión sobre el eje y Para reflejar un punto $(x,y)$ sobre el eje $y$, la nueva coordenada es $(-x,y)$. Para el punto $(5,7)$, la reflexión s…
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the edge - length, in inches, of cube y is \\(\\frac{3}{96}\\) the edge…
a. $\frac{7396}{9}$
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trapezoid abcd is similar to trapezoid efgh. what is the value of s? 16…
A. 32 m
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the edge - length, in inches, of cube y is 3/86 the edge - length, in i…
$\frac{16}{9}$
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the edge - length, in inches, of cube y is 86/3 the edge - length, in i…
a. $\frac{7396}{9}$ (It seems there might be some error in the problem - setup or options as our calculated $n = 9$, but if we assume the problem is set up in a way that we need t…
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this question has two parts. first, answer part a. then, answer part b.…
$h = \frac{V}{\ell w}$
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this question has two parts. first, answer part a. then, answer part b.…
$l=\frac{P - 2w}{2}$
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solve the inequality and graph the solution on the line provided. 13 + …
$\leq$ $x\leq8$ On the number - line, you would place a closed circle at 8 (because the inequality includes equality, i.e., $\leq$) and shade the line to the left of 8 to represen…
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part a rectangles the formula p = 2l + 2w represents the perimeter of a…
for Part A: $\ell=\frac{P - 2w}{2}$ ## Step1: Substitute values We know $P = 36$ and $w = 4$. Substitute into $\ell=\frac{P - 2w}{2}$, so $\ell=\frac{36-2\times4}{2}$. ## Step2: C…
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the width of a rectangle is 8 centimetres. the length of the rectangle …
d. 464
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the difference between the measure of angle a and the measure of angle …
b. $-\frac{5}{12}\pi\cdot\frac{180}{\pi}$
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find the slope of the line graphed below.
$-\frac{2}{3}$
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lope of the line graphed below.
$5$
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find the slope of the line graphed below.
Undefined
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a school built a new gym. the gym is rectangular and has an area of 6,0…
C. 60 ft
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given, ⊙a≅⊙v, what congruency statements can you make? check all that a…
$\overline{BE}\cong\overline{ZX}$, $\overset{\frown}{BE}\cong\overset{\frown}{ZX}$, $\angle DAB\cong\angle ZVX$
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a. place the steps in order to construct a segment cd congruent to ab u…
a. 3rd: Set the compass on point A and adjust the width to point B. 1st: Without changing the compass width, place the compass on point C. 4th: Draw line - segment CD using a stra…
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1. order the construction diagrams below to correctly show how to copy …
B, C, D, A, F, E
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4. olivia found some steps for bisecting an angle on the internet. she …
6. Place compass point on the vertex of the angle. 2. Stretch the compass to any length that stays on the angle. 7. Swing the compass to make an arc that crosses both rays of the …
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given: ⊙o with central angles ∠aoc≅∠bod. prove: (overline{ac}congoverli…
We know that central angles $\angle AOC$ and $\angle BOD$ are congruent, because it is given. We can say that segments $AO$, $CO$, $BO$, and $DO$ are congruent because they are ra…
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spiral review 11 which transformations are considered rigid motion? 12 …
11. Translations, rotations, and reflections are considered rigid - motion. 12. The coordinates of $H'$ are $(13,3)$.
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name moriah hollis sec. 1 introduction to geometry - points, lanes and …
1. \(P(5.2,8)\) 2. \(Q(0.2,-2.4)\) 3. \(P(\frac{17}{6},-8)\) 4. \(P(1,3.5)\)
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7. the endpoints of line segment ab are located at (5, -2) and (-3,10).…
B. $y - 4=\frac{2}{3}(x - 1)$
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3) $f(x)=\begin{cases}x + 3, &xleq - 4\\-4, &x > - 4end{cases}$
The graph consists of a line $y=x + 3$ for $x\leq - 4$ (with a closed - circle at $(-4,-1)$) and a horizontal line $y=-4$ for $x>-4$ (with an open - circle at $(-4,-4)$).
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7. write the conclusion for the statement. if m∠jkl + m∠smw = m∠xyz + m…
7. \(m\angle JKL=m\angle DNF\) 8. Subtraction Property of Equality 9. Reason: Given 10. Statement: \(\angle MNP\cong\angle DFG\)
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17. if $overline{np}$ bisects $angle mnq$, $mangle mnq=(8x + 12)^{circ}…
$x = 18$, $y = 29$
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question 10 (multiple choice worth 1 points) (05.02 mc) a square pyrami…
2 units
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question 6 (multiple choice worth 1 points) (06.02 mc) as part of a new…
D. \(476.44\ cm^{3}\)
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question 5 (mc) (05.02 mc) a cylinder has an 18 - inch diameter and is …
$1,179\pi\ in^{3}$
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question 4(multiple choice worth 1 points) (06.02 mc) a globe - company…
267.9 in³
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the radius of the cone is 7 in and y = 25 in. what is the volume of the…
$392\pi$ in³
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question 1 (multiple choice worth 1 point(s)) (06.02 mc) a watch compan…
C. 200 in³
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10. if ∠cde is a straight angle, de bisects ∠gdh, m∠gde=(8x - 1)°, m∠ed…
\(m\angle GDH = 126^{\circ}\), \(m\angle FDH=74^{\circ}\), \(m\angle FDE = 137^{\circ}\)
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traffic is always busy on friday afternoons at 4pm. it is friday at 4pm…
Deductive
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2.2.6 check your understanding determine the correct type of reasoning …
1. Deductive Reasoning 2. Deductive Reasoning 3. Deductive Reasoning
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use the unit circle to find the value of sin(3π/2) and even or odd trig…
A. $\sin\frac{3\pi}{2}=-1$; $\sin(-\frac{3\pi}{2}) = 1$
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give one pair of supplementary angles and one pair of vertical angles s…
(a) Supplementary angles: $\angle1$ and $\angle2$ (b) Vertical angles: $\angle1$ and $\angle3$
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use the unit circle to find the value of cos π and even or odd trigonom…
A. $\cos\pi=-1$
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give one pair of vertical angles and one pair of supplementary angles s…
(a) Vertical angles: $\angle1$ and $\angle3$ (b) Supplementary angles: $\angle1$ and $\angle2$
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10. if ∠cde is a straight angle, (overline{de}) bisects ∠gdh, (mangle g…
$x = 8$ $m\angle GDH=126^{\circ}$ $m\angle FDH=74^{\circ}$ $m\angle FDE=137^{\circ}$
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give one pair of supplementary angles and one pair of vertical angles s…
(a) Supplementary angles: ∠1 and ∠2 (b) Vertical angles: ∠1 and ∠3
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geometry. measurement. data. identifying supplementary and vertical ang…
(a) Vertical angles: $\angle1$ and $\angle2$ (b) Supplementary angles: $\angle1$ and $\angle5$
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geometry. measurement, data analysis identifying supplementary and vert…
(a) Vertical angles: $\angle1$ and $\angle4$ (b) Supplementary angles: $\angle1$ and $\angle2$
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$\sqrt{2}$
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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 an angle of …
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$-\frac{25}{7}$
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$-\frac{25}{24}$
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$\frac{24}{7}$
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complete the sentence below. let t be a real number and let p=(a,b) be …
\(\sin t = b\), \(\cos t=a\)
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if (mangle abc) is one degree less than three times (mangle abd) and (m…
$m\angle ABD = 24^{\circ}$ $m\angle ABC = 71^{\circ}$
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use the unit circle to find the value of tan $\frac{3pi}{4}$ and period…
A. $\tan\frac{3\pi}{4}=-1$
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use the unit circle to find the value of cos(7π/4) and periodic propert…
A. $\cos\frac{7\pi}{4}=\frac{\sqrt{2}}{2}$
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yep. the guard takes the 3 tech and the tackle folds underneath him to …
B. Flare route
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use the unit - circle to find the value of sin(7π/4) and properties of …
$\sin\frac{7\pi}{4}=-\frac{\sqrt{2}}{2}$, $\sin\frac{15\pi}{4}=-\frac{\sqrt{2}}{2}$
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use the unit circle to find the value of sin(7π/4) and periodic propert…
A. $\sin\frac{7\pi}{4}=-\frac{\sqrt{2}}{2}$
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use the pythagorean theorem to find the length of the missing side of t…
10
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use the pythagorean theorem to find the length of the missing side of t…
\(\sin\theta=\frac{BC}{AB}\), \(\cos\theta=\frac{AC}{AB}\), \(\tan\theta=\frac{BC}{AC}\), \(\csc\theta=\frac{AB}{BC}\), \(\sec\theta=\frac{AB}{AC}\), \(\cot\theta=\frac{AC}{BC}\) …
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determine whether the following statement makes sense or does not make …
C. The statement does not make sense because the sign of the tangent function depends on the quadrant in which the angle lies. As the quadrant changes the signs of x and y change.
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7. if (mangle lmp) is 11 degrees more than (mangle nmp) and (mangle nml…
$m\angle LMP = 74^{\circ}$ $m\angle NMP = 63^{\circ}$
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determine whether the following statement makes sense or does not make …
B. The statement does not make sense because there is no angle $\theta$, and no quadrant in which $\cot\theta > 0$ and $\tan\theta<0$.
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use reference angles to find the exact value of the following expressio…
The reference angle is $\frac{\pi}{3}$; $\csc\frac{5\pi}{3}=-\frac{2\sqrt{3}}{3}$
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use reference angles to find the exact value of the following expressio…
A. \(\sec1380^{\circ}=2\)
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use reference angles to find the exact value of the following expressio…
A. $\sin(-150^{\circ})=-\frac{1}{2}$
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find the reference angle for the angle $\frac{47pi}{6}$. the reference …
$\frac{\pi}{6}$
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find the reference angle for the angle 470°. the reference angle is □°.
\(70\)
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find the reference angle for the angle 1.7. the angle is measured in ra…
$1.44$
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find the reference angle of the angle. - 175° the reference angle for -…
$5$
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find the reference angle for $\frac{4pi}{3}$. the reference angle is . …
$\frac{\pi}{3}$
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find the reference angle for the angle 342°. the reference angle is $sq…
$18$
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find the reference angle for the angle 145°. the reference angle is □°.…
$35$
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ple - step equations ws3 circle your answer. 3. $\frac{x + 1}{45}=-12$
$x=-61$
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solve for m∠bce. answer attempt 1 out of 2 m∠bce =
84
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solve for m∠ghi. answer attempt 2 out of 2 m∠ghi =
$64$
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solve for m∠ghi.
$60^{\circ}$
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you are shown ∠vwx below whose measure is 98°. draw an angle bisector o…
Draw a ray from vertex $W$ such that it divides $\angle VWX$ into two angles of measure $49^{\circ}$ each.
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∠1 and ∠2 are supplementary angles. if (mangle1=(2x + 27)^{circ}) and (…
\(75^{\circ}\)
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∠1 and ∠2 are supplementary angles. if (mangle1=(x - 29)^{circ}) and (m…
$45^{\circ}$
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point j is on line segment $overline{ik}$. given $ik = 5x$, $ij = 4$, a…
$20$
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point s is on line segment rt. given rt = 4x, st = 5x - 10, and rs = 6,…
10
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a triangular park has a small pavilion which is equidistant from all th…
F
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part c with point d as the center, create a circle passing through poin…
No, the radius would not be different. The in - center of a triangle is equidistant from all sides of the triangle. So, whether we draw a perpendicular from the in - center to AB …
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reflect the figure over the line y = -\\frac{1}{3}x - 1. plot all of th…
The steps to find the reflected figure are as above. To get the actual points, the coordinates of the vertices of the original figure need to be known and the above - mentioned ca…
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the point at which the angle bisectors of the triangle meet is the ince…
DE represents the radius of the inscribed circle of the triangle because the in - center (point D) is equidistant from the sides of the triangle and DE is the perpendicular distan…
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create a line through point d, perpendicular to $overline{ab}$. mark th…
$\overline{DE}$ represents the perpendicular distance from point D to line $\overline{AB}$.