Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find tu. (just put the number!)
19
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graph the compound inequality. $x < 505$ or $x \\geq 510$ plot the endp…
On the number line, place an open - circle at \(x = 505\) and draw a ray to the left. Place a closed - circle at \(x = 510\) and draw a ray to the right.
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for the following problems, hexagon orange @ hexagon fruity. 9. ( mangl…
9. \(90\) 10. \(30\) 11. \(UTY\) 12. \(\overline{FR}\)
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answer attempt 1 out of 2 the measures of the angles of a triangle are …
\(82\)
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triangle abc is similar to triangle ade, which is formed with angle a a…
\((-1,-3)\)
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18. does △abc appear to be the same size and shape as △xyz? explain. a.…
C. Yes; $\triangle ABC$ maps onto $\triangle XYZ$ with a rotation and a reflection.
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question the measures of the angles of a triangle are shown in the figu…
\(x = 50\)
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graph the compound inequality. $x>0$ and $xleq10$ plot the endpoints. s…
On the number line, there is an open - circle at \(0\), a closed - circle at \(10\), and a line segment connecting them.
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jacob is cutting a tile in the shape of a parallelogram. two opposite a…
\(50^{\circ}\) and \(130^{\circ}\) (the second option)
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question the measures of the angles of a triangle are shown in the figu…
\(x = 52\)
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the diagonals of rectangle wxyz intersect at p. given that m yxz = 50° …
\(8\)
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3.5 identifying and writing parallel and perpendicular lines in exercis…
The lines are perpendicular.
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a carpenter cuts the corners of a rectangle to make the trapezoid shown…
11
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the diagonals of rectangle wxyz intersect at p. given that m yxz = 50° …
\(40\)
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the measures of the angles of a triangle are shown in the figure below.…
\(43\)
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graph the compound inequality. -5 ≤ x < 0 plot the endpoints. select an…
Plot a closed - circle at \(-5\) and an open - circle at \(0\), then connect them with a line segment.
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1. abcd is a square 2. ∠dab, ∠abc, ∠bcd, and ∠cda are right angles 3. ∠…
all sides of a square are congruent
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question which of the following sets of numbers could represent the thr…
\(\{14,24,36\}\)
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statements reasons 1. abcd is a square 1. given 2. ∠dab, ∠abc, ∠bcd, an…
all sides of a square are congruent
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question which of the following sets of numbers could represent the thr…
\(\{9,21,28\}\)
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11/8 - congruent figures if ( \triangle abccong\triangle fed ), complet…
1. \(FDE\) 2. \(E\) 3. \(EDF\) 4. \(FD\) 5. \(F\) 6. \(DE\)
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triangle abc is similar to triangle ade, which is formed with angle a a…
# Explanation: ## Step1: Determine the ratio of similarity Since \(\triangle ABC\sim\triangle ADE\), we first find the coordinates of \(A(0,5)\), \(B(4, - 1)\), \(C(- 4,-4)\), \(D…
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the polygons shown below are similar. find the scale factor lmno~rqts w…
The scale factor is \(\frac{7}{10}\) and \(x = 8.05\)
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if (\triangle tap=\triangle xzp) what is the measure of (angle p)? (man…
\(28^{\circ}\)
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question quadrilateral fghi is similar to quadrilateral jklm. find the …
\(59.4\)
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9. the polygons shown below are similar. find the scale factor and the …
The scale factor is \(\frac{7}{4}\), and \(x = \frac{65}{3}\)
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given \\( \\triangle a d c \\cong \\triangle d a b \\). what is the len…
\(9.5\)
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triangle abc is similar to triangle def. find the measure of side fd. r…
\(57.5\)
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the diagonals of square defg intersect at h. given that eh = 5, find th…
90
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15. find the missing side from the following similar triangl x =
$18$
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17. if the truth values of both ( p ) and ( q ) are ( f ), then which o…
B. The truth value of \(p ightarrow q\) is \(T\).
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determine a series of transformations that would map figure k onto figu…
Translate Figure \( K \) \( 12 \) units to the right and then reflect it over the \( x \)-axis.
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the diagonals of square defg intersect at h. given that eh = 5, find th…
\(10\)
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what can be concluded about triangles rst and vtu? the triangles are co…
The triangles are congruent and similar with a proportional relationship of 1.
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for the following problems, ( \triangle mitcong\triangle her ) 13. ( ma…
13. \(32\) 14. \(77\) 15. \(7\) 16. \(\overline{RE}\)
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a = b = m<1 = m<2 =
\(a = 18\), \(b = 13\), \(m\angle1=103^{\circ}\), \(m\angle2 = 90^{\circ}\)
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12. georgia, a civil engineer, was asked to estimate the length of a tu…
The estimated length of the proposed tunnel is \(3.7\) miles.
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what is the measure of angle o in parallelogram lmno? 35° 75° 105° 155
\(105^{\circ}\) (corresponds to the third option \(105^{\circ}\))
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ac = ef = m<f = m<a = m<b = m<d =
$AC = 32$; $EF = 18$; $m\angle F=56^{\circ}$; $m\angle A = 83^{\circ}$; $m\angle B = 41^{\circ}$; $m\angle D = 83^{\circ}$
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daniel claims that any two right triangles can be proven to be similar …
Daniel's mistake is that he only considered the congruent right angles (the included angle) but did not check if the adjacent sides of the right angles are in proportion. The SAS …
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the diagonals of a parallelogram are congruent. which could be the para…
B. rectangle
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a corner of a rectangle is cut, creating a trapezoid. what is the value…
\(135^{\circ}\) (the fourth option)
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determine a series of transformations that would map figure p onto figu…
A reflection over the \(x\) - axis followed by a translation \(6\) units up.
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which concept can be used to prove that the diagonals of a parallelogra…
congruent triangles
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what is the perimeter of square abcd? √37 units 4√37 units 28 units 37 …
B. \(4\sqrt{37}\) units
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the midpoint of a line segment is (6, 5), and one of the endpoints is (…
A. \((11,4)\)
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rhombus lmno is shown with its diagonals. angle mlo measures 112°. what…
\(56^{\circ}\) (the second option)
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eh = ab = fg = m<e = m<g = m<b = m<d =
\(EH = 32\) \(AB = 24\) \(FG = 24\) (wait, no, in \(EFGH\), if \(EH = 32\) (from \(AD\)), no - wait, no, \(AB\) in \(ABCD\): \(AB = CD = 24\). \(FG\) in \(EFGH\): if \(EFGH\) is a…
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which statement proves that pqrs is a parallelogram? the slopes of (ove…
The slopes of \(\overline{SP}\) and \(\overline{RQ}\) are both \(-2\) and \(SP = RQ=\sqrt{45}\)
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determine a series of transformations that would map figure t onto figu…
Reflect over the x - axis followed by a translation 12 units up.
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what is the midpoint of the shortest side of a triangle with vertices (…
B. \((1,3)\)
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kite abcd represents a softball field that is being built. if ac = 48 m…
140 meters
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gh = ab = fg = m<a = m<e = m<g = m<b =
\(GH = 6\), \(AB = 15\), \(FG = 5\), \(m\angle A=70^{\circ}\), \(m\angle E = 70^{\circ}\), \(m\angle G=90^{\circ}\), \(m\angle B=90^{\circ}\)
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what is the perimeter of parallelogram wxyz? √5 + √17 units 2√5 + 2√17 …
\( 2\sqrt{5}+2\sqrt{17} \) units (the second option)
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in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? …
\(2\sqrt{26}+8\) units
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one endpoint of a segment is a(2, 2). the midpoint of the segment is o(…
B. \((6,10)\)
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a 15 - meter by 23 - meter garden is divided into two sections. two sid…
38.2 m
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determine a series of transformations that would map figure n onto figu…
Reflect Figure \(N\) over the \(x\) - axis and then translate it 15 units to the right.
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5. given the similar triangles ( \triangle pqr-\triangle dfe ), find th…
Scale factor: \(\frac{5}{6}\) \(m\angle D = 56^{\circ}\) \(m\angle R=35^{\circ}\) \(m\angle P = 56^{\circ}\) \(DE = 48\) \(FE = 43.2\)
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6. abcd ~ nmpo written as a fraction, the scale factor = x =
The scale factor is \(\frac{3}{5}\), \(x = 3.6\)
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triangle abc has vertices a (8, 4), b (14, 16), and c (6, 10). what are…
A' = (4, 2), B' = (7, 8), C' = (3, 5)
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the scale factor is 4, and the center of dilation is the origin. what a…
$A'=(4,16)$, $B'=(12,4)$, $C'=(4,4)$
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question 2 (39 points) what are the coordinates for a = ( , ) b = ( , )…
A = (2, 4), B = (6, 2), C = (1, 2), A' = (4, 10), B' = (14, 5), C' = (5, 5), Scale factor = 2.5
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determine a series of transformations that would map figure t onto figu…
Translate Figure T 5 units right and 5 units down, then rotate \( 90^{\circ}\) clockwise about the origin.
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question 1 (39 points) what are the coordinates for j = (_, _) k = (_, …
$J=(4,6)$ $K=(12,6)$ $L=(4,14)$ $J'=(2,3)$ $K'=(6,3)$ $L'=(2,7)$ Scale factor: $0.5$
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11. complete the proof for the base angle theorem. (hint: mark the diag…
A. Statement 4: \(\triangle PQS\cong\triangle RQS\); Reason 4: Side - Angle - Side (SAS) Congruence Criterion B. Reason for step 5: Corresponding Parts of Congruent Triangles are …
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question 1 (39 points) what are the coordinates for j = (, ) k = (, ) l…
\(J=(5,6)\), \(K=(13,6)\), \(L=(4,14)\), \(J'=(2,3)\), \(K'=(7,3)\), \(L'=(2,7)\), scale factor \( = 0.5\) (or \(\frac{1}{2}\))
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3. given ( mangle c = 63^{circ} ). find the measures of ( angle 1 ) and…
\(m\angle1 = 63^{\circ}\), \(m\angle2=63^{\circ}\)
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what additional information is needed to prove that (\triangle abccong\…
the side lengths of \(AB\) and \(DB\)
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the sides \\( \\overline { l m } \\), \\( \\overline { m n } \\), and \…
The fourth triangle (right - most) is similar to \(\triangle LMN\) by the SSS (Side - Side - Side) similarity theorem.
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vito is writing a coordinate proof involving a parallelogram. knowing t…
\((2c + 2a,2b)\)
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consider one triangle whose sides measure $\\frac{3}{2}$ units, $\\frac…
All of the following should be included: - Find corresponding sides. - Use the SSS congruence theorem. - Corresponding sides are the same length. - Use the SSS similarity theorem.…
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10 the area of a triangle with vertices points $(a,b),(c,d)$, and $(e,f…
D. \(\begin{bmatrix}5&\frac{7}{2}\\3&2\end{bmatrix}\)
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10 the area of a triangle with vertices at the points $(a,b),(c,d)$, an…
J. 64
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1. what is the first step when solving equations? 2. circle the equatio…
For $\frac{x}{5}=-12$, $x=-60$; for $52 = 4x$, $x = 13$; for $-p + 43=66$, $p=-23$; for $-35=\frac{w}{3}$, $w=-105$
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consider one triangle whose sides measure \\frac{3}{2} units, \\frac{5}…
The triangles are both congruent and similar. Because by the SSS congruence criterion (all corresponding sides are equal: \(\frac{3}{2}=\frac{3}{2}\), \(\frac{5}{2}=\frac{5}{2}\),…
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24. in quadrilateral math, mt and ah bisect each other at r and mr ≅ hr…
I. parallelogram
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which statements are true? check all that apply. the corresponding side…
- The corresponding sides of similar triangles have proportional lengths. - The corresponding sides of congruent triangles have the same lengths. - If corresponding sides of two t…
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21. abcd is a rectangle m∠1= m∠2= m∠3= m∠4= m∠5= m∠6= m∠7=
\(m\angle1 = 32^{\circ}\), \(m\angle2 = 116^{\circ}\), \(m\angle3 = 58^{\circ}\), \(m\angle4 = 32^{\circ}\), \(m\angle5 = 58^{\circ}\), \(m\angle6 = 58^{\circ}\), \(m\angle7 = 32^…
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21. abcd is a rectangle m∠1= m∠2= m∠3= m∠4= m∠5= m∠6= m∠7=
\(m\angle1 = 58^{\circ}\), \(m\angle2 = 116^{\circ}\), \(m\angle3 = 32^{\circ}\), \(m\angle4 = 58^{\circ}\), \(m\angle5 = 32^{\circ}\), \(m\angle6 = 58^{\circ}\), \(m\angle7 = 58^…
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identifying a congruent triangle which are the coordinates of the verti…
\((4,3),(-4,8),(-4,3)\)
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question 9 of 10 10 points how many real solutions does this system of …
C. 2
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which of the following are congruent? select four correct answers. □ △s…
\(\triangle STV\) and \(\triangle UTV\), \(\angle U\) and \(\angle S\), \(\overline{UV}\) and \(\overline{SV}\), \(\angle TVU\) and \(\angle SVT\)
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3. compare corresponding sides that include the corresponding, congruen…
\(\frac{AB}{AD}\) is equal to \(\frac{1}{2}\). \(\frac{AC}{AE}\) is equal to \(\frac{1}{2}\).
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use the distance formula to find the lengths of the sides (\\( \\overli…
The length of \(\overline{AC}\) is \(2\sqrt{2}\). The length of \(\overline{AE}\) is \(4\sqrt{2}\).
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use the distance formula to find the lengths of the sides (\\( \\overli…
The length of \(\overline{AC}\) is \(2\sqrt{2}\). The length of \(\overline{AE}\) is \(4\sqrt{2}\).
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geometry unit 4 triangle congruence review name: date: 1. what theorem …
b) Side - Angle - Side 2.
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6. d(2,9) is the image of d after a reflection in the y - axis. what ar…
6. \(D(-2,9)\) 7. \(Q(1,-5)\) 8. \(L'(5,1)\) 9. \(N(-8,-12)\) 10. \((x,y)\to(-y,x)\) (the third option)
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using the graph, determine the coordinates of the x - intercepts of the…
The coordinates of the x - intercepts are \((-3,0)\) and \((-1,0)\)
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2. use the distance formula to find the lengths of the sides of the sec…
\(\sqrt{53}\)
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4. which capital letters have one or more lines of symmetry? select all…
4. A. \(X\), C. \(H\), D. \(C\) 5. A.
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shawn encloses the garden with a fence. using 3.14 for π, find the appr…
\(59.66\)
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3. show that the included angles, (angle j) and (angle v), are congruen…
The slope of \( \overline{WU} \) is \( \frac{3}{2} \). The slope of \( \overline{VU} \) is \( -\frac{2}{3} \). Therefore, \( \angle U \) is a right - angle.
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3. show that the included angles, $\\angle j$ and $\\angle v$, are cong…
The slope of \( \overline{WU} \) is \( \frac{3}{2} \). The slope of \( \overline{VU} \) is \( -\frac{2}{3} \). Therefore, \( \angle U \) is a right angle.
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in circle u, uv = 8 and the length of \\( \\overarc{vw} \\) = 2\\( \\pi…
\(56\pi\)
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in circle a, the length of \\( \\overparen{bc}=6 \\pi \\) and \\( m \\a…
\(54\pi\)
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topic 3 assessment: transformations 1. what is a rule for the translati…
1. \((x,y)\to(x + 7,y - 3)\) 2. Rotation, Translation
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in circle s, the length of \\( \\overparen{t u}=6 \\pi \\) and \\( m \\…
\(27\pi\)
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in circle q, the length of \\( \\overparen{r s}=3 \\pi \\) and \\( m \\…
\(27\pi\)
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what are the steps necessary to show that $overline{jh}congoverline{vu}…
Second option (\(JH = d=\sqrt{(-3-(-5))^2+(0 - (-3))^2}\)), third option (\(VU = d=\sqrt{(5 - 2)^2+(2 - 4)^2}\)), fifth option (\(JH=\sqrt{13}\))