Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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lines cut by a transversal analyzing angle pair relationships m∠3 is (3…
The equation is \(3x + 4=2x + 11\) (assuming alternate interior angles, since their measures are equal), solving gives \(x = 7\), and \(m\angle5=25^{\circ}\).
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applying angle pair relationships lines cut by a transversal what is ( …
\(m\angle7 = 75^\circ\) ### For \( m\angle1 \):
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solve the triangle. a = 4.18 m c = 5.93 m b = 27.7° what is the length …
\( 2.9270 \) ### Measure of angle \( A \)
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solve the triangle shown to the right. a ≈ □°, b ≈ □°, and c ≈ □° (roun…
\( A \approx 72.4^\circ \), \( B \approx 53.8^\circ \), \( C \approx 53.8^\circ \)
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find the measure of θ in the triangle. do not use a calculator. b = □°
\(120\)
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given: ( x parallel y ) ( w ) is a transversal of ( x ) and ( y ). prov…
- A: Vertical angles are congruent - B: Corresponding angles are congruent (since \( x \parallel y \) and \( w \) is a transversal) - C: Transitive property of congruence
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reflect the figure across the y - axis. then decide if each statement a…
1. True 2. True 3. False 4. True
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use a graphing utility to graph the two equations in the system in the …
A.
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use a graphing utility to graph the two equations in the system in the …
B.
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lines e and f are parallel. the m∠9 = 80° and m∠5 = 55°. which angle me…
\(m\angle8 = 55^{\circ}\), \(m\angle3 = 55^{\circ}\), \(m\angle2 = 125^{\circ}\), \(m\angle14 = 100^{\circ}\), \(m\angle12 = 100^{\circ}\)
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re are three solids. for each net below, select the solid above to whic…
1. c 2. a 3. None 4. None
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re are three solids. for each net below, select the solid above to whic…
1. b 2. None 3. None 4. a
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70. the perimeter of a rectangle is 510 centimeters. the ratio of the l…
F. \(153\) cm by \(102\) cm
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69. in the pyramid above, each triangular face has the same area, and t…
B. \(96\) \(sq\) \(cm\)
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question 15 given that a quadrilateral pqrs is a parallelogram, \\overl…
\(\text{Perimeter}=82\), \(\text{Opposite angles are congruent}\)
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given that a quadrilateral pqrs is a parallelogram, pq and rs are oppos…
Opposite angles are congruent.
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given that a quadrilateral pqrs is a parallelogram, \\overline{pq} and …
\(\boxed{QR = 33}\), \(\boxed{\text{Perimeter}=118}\)
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given a quadrilateral pqrs is a parallelogram, pq and rs are opposite s…
- Opposite sides are congruent - Perimeter \(=170\) - \(\overline{PQ}=45\)
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given parallelogram qrst, if \\( \\overline{qs}=8 \\) and \\( \\overlin…
$8$
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given parallelogram qrst, if \\( \\overline{qs}=9 \\) and \\( \\overlin…
\(9\)
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a parallelogram with congruent consecutive sides is guaranteed to be a …
Rhombus
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what type of special parallelogram is shown in the picture below? give …
Square
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what type of special parallelogram is shown in the picture below? give …
Square
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given parallelogram qrst, if qr = 10 and st = 14, calculate qt. 10 18 1…
10
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any quadrilateral with perpendicular diagonals is a rhombus
False
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given that the quadrilateral is a parallelogram, \\( \\overline { q s }…
\(34\)
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given that the quadrilateral is a parallelogram, \\( \\overline { q s }…
\(23\)
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given that the quadrilateral is a parallelogram, \\( \\overline { q s }…
\(25\)
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given that the quadrilateral pqrs is a parallelogram, \\( \\overline { …
\(166\)
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given that the quadrilateral wxyz is a parallelogram, \\( \\overline { …
\(96\)
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given that the quadrilateral wxyz is a parallelogram, \\( \\overline { …
\(26\)
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given that the quadrilateral lmno is a parallelogram, ( mangle l = 15x …
\(130\)
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given that the quadrilateral pqrs is a parallelogram, \\( \\overline { …
\(60\)
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the points k(7,1), l(0,7), m(-9,9), and n(-2,3) form rhombus klmn. plot…
\(78\)
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given that the quadrilateral is a parallelogram, $m\\angle s = 2x + 17$…
\(121^{\circ}\)
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given that the quadrilateral wxyz is a parallelogram, \\( \\overline { …
\(97\)
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given that the quadrilateral is a parallelogram, $m\\angle s=x + 20$ an…
\(m\angle Q=180^{\circ}-41^{\circ}=139^{\circ}\), so the answer is \(139^{\circ}\) (the first option).
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given the figures markings and ( mangle a = 55^{circ} ) and ( mangle b …
Theorem 34
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directions select up to 2 number line button(s) below. click to activat…
On the number line, we should use the second button (the one with a closed circle and an upward - pointing arrow) and place the closed circle at \(x = 6\) (assuming the number lin…
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given that the quadrilateral ( wxyz ) is a parallelogram, ( overline{wt…
\(24\)
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given that the quadrilateral pqrs is a parallelogram, \\( \\overline { …
146
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given the figures markings and ( mangle g = 139^{circ} ) and ( mangle h…
Theorem 34
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what type of quadrilateral is shown below? parallelogram trapezoid neit…
Parallelogram
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what type of quadrilateral is shown below? parallelogram trapezoid neit…
Trapezoid
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a quadrilateral with congruent diagonals must be a(n) square rhombus is…
- First question: No classification guaranteed - Second question: False
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2. which ratio is proportional to \\( \\frac { 2.7 } { 3 } \\)? \\( \\f…
\(\frac{9}{10}\) (the fourth option, assuming the options are ordered as shown: the first circle with \(\frac{9}{10}\))
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what type of quadrilateral is shown below? parallelogram trapezoid neit…
Parallelogram
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5. which proportion is equivalent to \\( \\frac { 9 } { 15 } = \\frac {…
The equivalent proportion is \(\frac{10}{15}=\frac{6}{9}\) (the last option, the fourth circle - shaped option with \(\frac{10}{15}=\frac{6}{9}\))
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if, for a convex octagon, five exterior angles each measure 38° and two…
\(112^{\circ}\) ---
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anthony claims that \\( \\triangle klm \\) is an isosceles triangle. wh…
The length of \(\overline{LM}\) is \(2\sqrt{5}\) (or approximately \(4.47\) units if using decimal approximation)
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calculate the measure of each interior angle of a regular decagon. ____…
For the regular decagon: \(144\) For question 28: \(166.67^{\circ}\) (the fourth option \(166.67^{\circ}\) is correct)
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anthony claims that \\( \\triangle k l m \\) is an isosceles triangle. …
\(5\)
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if three of the interior angles of a convex quadrilateral measure 99°, …
62 72
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if the exterior angles of a convex octagon are ( x + 14 ), ( 3x - 3 ), …
\(82.38^{\circ}\)
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if (\triangle nmkcong\triangle trp), use the figure below to answer que…
\(x = 7\)
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5. what is the missing value in the ratio table below?
4 (corresponding to the option with 4, likely the fourth circle or the first option depending on the layout, but the calculation gives 4)
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state whether the given angle below, shown in the figure, would be cons…
Neither
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if ( \triangle mathrm{nmk} cong \triangle mathrm{trp} ), use the figure…
\(20\)
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if four of the exterior angles of a convex pentagon measure 56°, find t…
O \(121^{\circ}\)
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if five of the exterior angles of a convex hexagon measure 54°, 58°, 60…
\(35\)
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the sum of the interior angles of an octagon is 1080°. each angle incre…
None of these answers are correct.
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the sum of the interior angles of an octagon is 1080°. each angle incre…
\(360\)
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how many sides would a convex polygon have if each interior angle measu…
None of these answers are correct.
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in the convex quadrilateral abcd, if ∠a ≅ ∠d, and m∠b = 120°, m∠c = 78°…
\(81\) degrees, \(2520\) degrees
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how many diagonals can be drawn from each vertex of a 16 - gon? 14 13 9…
13
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determine whether or not the figure is a polygon. if it is a polygon, d…
Concave polygon
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question 9 how many diagonals can be drawn from each vertex of a quadri…
\(1\)
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how many diagonals can be drawn from each vertex of a heptagon? ______ …
For the heptagon: \(4\) For the undecagon: \(8\)
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question 3 how many angles are there inside an undecagon? angles
11
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the points ( g(6,-9), h(2,-2), i(-6,-1) ), and ( j(-2,-8) ) form a quad…
slope of \(\overline{GH}=-\frac{7}{4}\), length of \(\overline{GH}=\sqrt{65}\) slope of \(\overline{HI}=-\frac{1}{8}\), length of \(\overline{HI}=\sqrt{65}\) slope of \(\overline{…
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the points ( e(2,-7) ), ( f(7,-4) ), ( g(4,1) ), and ( h(-1,-2) ) form …
slope of \(\overline{EF}=\frac{3}{5}\), length of \(\overline{EF}=\sqrt{34}\) slope of \(\overline{FG}=-\frac{5}{3}\), length of \(\overline{FG}=\sqrt{34}\) slope of \(\overline{G…
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calculate the measure for each exterior angle of a regular heptagon. * …
$51.43$
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how many sides would a regular polygon have if each exterior angle meas…
For the first question: \(90\) sides. For the second question: \(58\) degrees.
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calculate the measure of each interior angle of a regular decagon. ————…
\(144\)
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if three of the interior angles of a convex quadrilateral measure 100°,…
\(58\)
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if three of the interior angles of a convex quadrilateral measure 100°,…
\(58\) ---
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if three of the interior angles of a convex quadrilateral measure 93°, …
48 12
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suppose the measures of the interior angles of a convex heptagon are se…
None of these answers are correct.
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the points ( q(2,-7) ), ( r(-1,-2) ), ( s(-8,2) ), and ( t(-5,-3) ) for…
slope of $\overline{QR}=-\frac{5}{3}$, length of $\overline{QR}=\sqrt{34}$, slope of $\overline{RS}=-\frac{4}{7}$, length of $\overline{RS}=\sqrt{65}$, slope of $\overline{ST}=-\f…
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suppose that the measures of the interior angles of a convex heptagon a…
For the second problem (since the first set of options has non - whole number values for angles of a polygon with whole - number angle measures as per the problem statement (conse…
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if three of the interior angles of a convex quadrilateral measure 109°,…
For the first part: \(47^{\circ}\) For the second part: No
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consider the triangles shown. if ( mangle utv < mangle uts < mangle str…
\( \boldsymbol{VU < US < SR} \) by the hinge theorem. (The first option: \( \boldsymbol{\text{VU < US < SR by the hinge theorem}} \))
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if, for a convex octagon, four exterior angles each measure 22° and thr…
For the first question: \(173^{\circ}\) (the third option). For the second question: False.
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in the triangles, xy = mp and yz = pn. if m∠p = 85°, which is a possibl…
\( m\angle Y = 100^\circ \) (the option with \( m\angle Y = 100^\circ \))
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consider the two triangles. if rt is greater than ba, which statement i…
By the converse of the hinge theorem, \(m\angle S>m\angle C\) (the third option: "By the converse of the hinge theorem, \(m\angle S>m\angle C\)")
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the points ( k(1,-3), l(7,-7), m(5,-2) ), and ( n(-1,1) ) form a quadri…
slope of \(\overline{KL}=-\frac{2}{3}\), length of \(\overline{KL}=2\sqrt{13}\) slope of \(\overline{LM}=-\frac{5}{2}\), length of \(\overline{LM}=\sqrt{29}\) slope of \(\overline…
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gene starts from home and travels 3 miles north to the shopping mall. f…
at the mall
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if five of the exterior angles of a convex hexagon measure 74°, 71°, 53…
\(44\)
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if five of the exterior angles of a convex hexagon measure 50°, 59°, 55…
For the hexagon: \(46\) degrees For the pentagon: \(92\) degrees
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what is the degree of the exterior angle for a regular 20 - gon? ______…
18 degrees 45 degrees
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in the triangles, \\( \\overline { a c } \\cong \\overline { f e } \\) …
\(\overline{AB}\) is longer than \(\overline{FD}\) (the option: \(\overline{AB}\) is longer than \(\overline{FD}\))
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if five of the exterior angles of a convex hexagon measure 50°, 56°, 60…
For the hexagon: \(52\) degrees. For the pentagon: \(168\) degrees.
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the side lengths of triangle abc are written in terms of the variable p…
\(m\angle C>m\angle A>m\angle B\) (the option: \(m\angle C>m\angle A>m\angle B\))
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if four of the exterior angles of a convex pentagon measure 52°, find t…
For the first question: \(152\) For the second question: \(72\)
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which statement is true regarding triangle tuv? angle t is the smallest…
Angle V is the smallest angle.
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if four of the exterior angles of a convex pentagon measure 49°, find t…
\(164^{\circ}\) For the second question:
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consider the triangle. which shows the order of the angles from smalles…
B. angle B, angle A, angle C
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in the triangles, \\( \\overline { c k } \\cong \\overline { f n } \\) …
Angle G is smaller than angle P. (The option: Angle G is smaller than angle P.)
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what is the degree of the exterior angle for a regular 30 - gon? 16° 10…
For the first question: \(12^{\circ}\) (the third option). For the second question: Octagon (the third option).
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triangle xyz is shown, where ( ngeq5 ). which statements are true regar…
- Angle \( X \) is the largest angle. - Angle \( Z \) is greater than angle \( Y \). - \( \overline{XZ} \) is the shortest side.