Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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how are lines kl and mn related? the lines intersect at point k. the li…
The lines are perpendicular.
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complete the proof that \\( \\triangle vwx \\cong \\triangle uty \\).
1. Given (marked on the diagram) 2. Given (marked on the diagram) 3. Given (marked on the diagram) 4. Segment Addition Postulate 5. Segment Addition Postulate 6. Substitution Prop…
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which line segment is an angle bisector?
\(GF\)
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given rt || sp, rq = qp, rp bisects st at q prove: △rqt ≅ △pqs tanner i…
vertical angles theorem
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what is a reflection rule that maps each triangle and its image? the re…
The reflection rule is \(r_{l}(x,y)=(y,x)\) where the equation of line \(l\) is \(y = x\)
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which line segment is an altitude of △abd?
$BE$
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which line segment is a perpendicular bisector?
\(RU\)
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1. finish the equation: ( mangle3 + 37^{circ}=)____(^{circ}) a. 180 b. …
1. B. \(90\) The measure of angle \(3\) is \(53^{\circ}\)
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which line segment is a median of \\( \\triangle b d e \\)?
\(EC\)
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e value of x.
\( x = 47 \)
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look at the diagram. which term describes \\( \\overline { x z } \\)? m…
none of these
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look at the diagram.which term describes \\( \\overline { z x } \\)?ang…
angle bisector
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draw the image of the rotation of quadrilateral sort by 270° about the …
Follow the above steps to draw the rotated quadrilateral on the coordinate - plane.
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∠svt ≅ ∠quw, ∠t ≅ ∠w, and \\overline{tu} ≅ \\overline{vw}. complete the…
1. Given 2. Given 3. Given 4. Segment Addition Postulate 5. Segment Addition Postulate 6. Substitution Property 7. Transitive Property of Equality 8. ASA (Angle - Side - Angle) Co…
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the value of x.
\(x = 18\)
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△now is rotated 90° about the origin. draw the image of this rotation.
Plot the points \(N'(-3,6)\), \(O'(4,4)\), \(W'(1,1)\) and connect them.
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complete the proof that $\\triangle suw\\cong\\triangle svt$. | stateme…
\(\triangle SUW\cong\triangle SVT\) by the ASA (Angle - Side - Angle) congruence criterion.
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find the value of x.
\(x = 13\)
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△uvw and △stw are equilateral. complete the proof that △svw ≅ △tuw.1 △u…
\(\angle VWS\cong\angle UWT\) (Reason: Angle addition property and substitution, since \(\angle VWU = \angle TWS=60^{\circ}\) and \(\angle VWU+\angle VWS=\angle TWS+\angle VWS\));…
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quadrilateral team is rotated - 180° about the origin. draw the image o…
Plot the points \(T'(-3,2)\), \(E'(-2,-4)\), \(A'(2,-3)\), \(M'(-6,-7)\) and connect them.
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? \\( \\frac { a c } { x z } = \\frac { \\sqrt { 5 2 } } { \\sqrt { 1 3…
\(\frac{BC}{YZ}=\frac{6}{3}\)
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7. draw a line through the point such that the value of the y - interce…
Draw a line passing through \((-10,0)\) and \((0,-10)\)
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△vwy≅△xuy. complete the proof that △wxy≅△uvy. statement 1 △vwy≅△xuy 2 u…
\(\triangle WXY\cong\triangle UVY\) (by SAS congruence criterion)
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1. \\( \\angle abc \\) is a right angle 2. \\( \\angle dbc \\) is a str…
Two - column proof.
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1. ∠abc is a right angle 2. ∠dbc is a straight angle 3. m∠abc = 90° 4. …
The proof uses the definitions of right - angle and straight - angle, the angle addition property, and the subtraction property of equality. The steps are: 1. Given \(\angle ABC\)…
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can △tsr and △qrs be proven congruent by sas? no, because not enough is…
yes, because along with the given information on the diagram, \(SR\cong RS\) by the reflexive property.
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what is the value of h? o h = 15 o h = 9 o h = 10 o h = 13.5
\(h = 9\)
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△now is rotated 90° about the origin. draw the image of this rotation.
Plot the points \(N'(2,-7)\), \(O'(-4,-4)\), \(W'(-1,-1)\) and draw the triangle.
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which figure represents the image of trapezoid lmnp after a reflection …
figure C
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complete the proof that ( \triangle ghicong\triangle fej ).
\(\triangle GHI\cong\triangle FEJ\) by the ASA (Angle - Side - Angle) congruence criterion.
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given ( mparallel n ), find the value of ( x ).
\(x = 14\)
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answer submit answer
SAS
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19 the lengths of the sides of a triangle are 3 inches, 4 inches and 5 …
D. 6 inches, 8 inches, 10 inches
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hi ≅ hj. complete the proof that △hij ≅ △hji. 1 hi ≅ hj 2 ∠h ≅ ∠h 3 △hi…
1. Given 2. Reflexive property of congruence 3. SAS (Side - Angle - Side) congruence criterion
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ab ≅ cb reason: select reason search for reasons... given reflexive pro…
Given
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draw the image of the rotation of quadrilateral sort by 270° abo origin.
The image of the rotated quadrilateral is formed by the points \(S'(-6,-5)\), \(O'(-1,2)\), \(R'(3,2)\), \(T'(-2,-5)\) connected in order.
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the diagram shows a parallelogram that is not a rhombus. if indirect re…
C. \(PR = SQ\)
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identifying additional information needed the frame of a bridge is cons…
UV = 14 ft and \(m\angle TUV = 45^{\circ}\); \(m\angle STU=37^{\circ}\) and \(m\angle VTU = 37^{\circ}\)
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triangle abc was transformed to create triangle def. which statement is…
\(\overline{BC}\) corresponds to \(\overline{EF}\) because they are about the same length (the correct statement is that \(\overline{BC}\) and \(\overline{EF}\) are corresponding …
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∠a≅∠c reason: reflexive property search for reasons... given reflexive …
The reason for \(\angle A\cong\angle C\) being the Reflexive Property is based on the fact that the Reflexive Property of Congruence (for angles) says \(\angle X\cong\angle X\) fo…
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given $m\\parallel n$, find the value of x.
\(x = 19\)
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ad ≅ cd reason: select reason search for reasons... given reflexive pro…
Given
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which is another way to name \\angle ust? \\angle uts \\angle usr \\ang…
\(\angle TSU\)
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16 what is the scale factor of the dilation that maps △abc→△abc?
\(\frac{1}{2}\)
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ven ( m | n ), find the value of ( x ).
\(x = 13\)
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consider the diagram why are lines ac and rs skew lines? o they lie in …
They lie in different planes and will never intersect.
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d is the midpoint of \\( \\overline { a c } \\) reason: given \\( \\ove…
For \(\overline{AD}\cong\overline{CD}\), the reason is "Definition of Midpoint". For \(\angle A\cong\angle C\), the reason is "Given". For \(\overline{AB}\cong\overline{CB}\), the…
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given ( mparallel n ), find the value of ( x ).
\(x = 21\)
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given ( mparallel n ), find the value of ( x ).
\(x = 17\)
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given $overline{ac}$ and $overline{bd}$ bisect each other prove: $overl…
\(AB = DC\)
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uv is a translation of \\overline{uv}. write the translation rule. (x,y…
\((x,y)\to(x - 7,y-11)\)
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which type of triangle will always have a perpendicular bisector that i…
equilateral
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∠rts is a right angle.which term describes rt?altitudeangle bisectormed…
none of these
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△top is rotated - 180° about the origin. draw the image of this rotatio…
Plot the points \(T'(-6,0)\), \(O'(2,5)\) and \(P'(2,-5)\) on the coordinate plane and connect them.
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look at the diagram.which term describes \\( \\overline { s v } \\)?med…
none of these
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∠uvz ≅ ∠wyx, \\overline{vw} ≅ \\overline{yz}, and ∠xwy ≅ ∠uzv. complete…
6. Substitution Property (substitute $YZ$ with $VW$ in $VZ = YZ+VY$ as $YZ = VW$); 7. Substitution Property (substitute $VW + VY$ in $WY = VW + VY$ with $VZ$ as $VZ=VW + VY$)
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∠eif is a right angle and ( overline{hi} cong overline{ei} ). which ter…
none of these
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look at the diagram.which term describes rt?perpendicular bisector angl…
none of these
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△fgi is equilateral and i is the midpoint of \\( \\overline{hj} \\). co…
The reason for $\overline{FI}\cong\overline{GI}$ is "Definition of equilateral triangle".
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in the triangles, hg = mp and gk = pn. which statement about the sides …
\(m\angle G>m\angle P\)
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quadrilateral tram is rotated $-90^{circ}$ about the origin. draw the i…
Plot the points \((7,7)\), \((7,1)\), \((4,5)\) and \((1,5)\) and connect them.
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in the figure, \\( \\overline { d e } \\parallel \\overline { b c } \\)…
| | True | False | |---|---|---| |\(\frac{AB}{BC}=\frac{AE}{ED}\)| | \( \bigcirc\) | |\(\frac{AD}{BA}=\frac{AE}{CA}\)| \( \bigcirc\) | | |\(\frac{AD}{AE}=\frac{AB}{AC}\)| \( \bigc…
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look at the diagram. which term describes (overline{fh})? altitude perp…
none of these
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ze is the angle bisector of ∠yex and the perpendicular bisector of gf. …
Point \(A\) is the center of the circle that passes through points \(E\), \(F\), and \(G\) and the center of the circle that passes through points \(X\), \(Y\), and \(Z\)
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look at the diagram. which term describes ac? median angle bisector alt…
altitude
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fg ≅ gh. which term describes ig? median perpendicular bisector angle b…
median
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look at the diagram. which term describes (overline{rt})? angle bisecto…
none of these
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$$\\overline{xy}\\cong\\overline{vw},\\angle s\\cong\\angle u$$, and $$…
By the AAS (Angle - Angle - Side) Congruence Theorem.
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look at the diagram.which term describes tv?perpendicular bisectoraltit…
none of these
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△fgh≅△ehg. complete the proof that △efg≅△feh. 1 △fgh≅△ehg given 2 overl…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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qt bisects ∠rtv. complete the proof that △qtu ≅ △qts. 1 qt bisects ∠rtv…
By the AAS (Angle - Angle - Side) congruence criterion, \(\triangle QTU\cong\triangle QTS\). So the reason for statement 10 is "AAS (Angle - Angle - Side) Congruence Theorem".
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complete the proof that ( \triangle hikcong\triangle gjk ). | statement…
By the Side - Angle - Side (SAS) Congruence Postulate.
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in which quadrant will the image of ( a(4, - 2) ) lie after dilation ( …
The image of \(A(4, - 2)\) after dilation \(D_{-2}\) lies in Quadrant II.
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∠pqs is a right angle and qr ≅ pq. which term describes (overline{qs})?…
none of these
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quadrilateral tram is rotated $-90^{circ}$ about the origin. draw the i…
The image of quadrilateral \(TRAM\) after a \(-90^{\circ}\) rotation about the origin is formed by the vertices \((7,7)\), \((7,1)\), \((4,5)\), and \((1,5)\).
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17. a graph shows an open circle at 0 and shading to the left. write th…
Inequality sentence: \(x < 0\) List three possible solutions: \(-1\), \(-2\), \(-3\)
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look at the diagram. which term describes hj? altitude perpendicular bi…
altitude
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what is overline{qr}? radius center diameter
diameter
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what is \\overline{rs}? center radius chord submit
radius
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wx ≅ xy. which term describes vx? perpendicular bisector altitude angle…
median
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16. a number line shows a closed circle at -3 with shading to the right…
\(x\geq - 3\)
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what is \\overline{no}? center chord radius submit
chord
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12 the best description of a dilation of a figure is a move of the figu…
an expansion or contraction of the figure
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what is k? chord center diameter submit
center
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δpqr is a translation of δpqr. write the translation rule. (x,y)→(□,□)
\((x,y)\to(x - 13,y - 6)\)
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what are the coordinates of point (2,3) after a translation to the righ…
A. \((6,-3)\)
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△elm is rotated - 90° about the origin. draw the image of this rotation.
To draw the image of the rotation: 1. Locate the new points \((-3,-6)\) (image of \(E\)), \((2,-3)\) (image of \(L\)) and \((7,-6)\) (image of \(M\)) on the coordinate grid. 2. Co…
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15. draw the graph for: $xgeq7$
On the number - line, there is a closed - circle at \(x = 7\) and an arrow pointing to the right from \(x = 7\).
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△abc is the original figure and △abc represents its dilation image. wha…
\((2,1)\)
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△abc is a translation of △abc. write the translation rule. (x,y)→(,)
\((x,y)\to(x - 10,y + 6)\)
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14. write and graph an inequality for: a number, n is at least 8. inequ…
Inequality sentence: \(n\geq8\) To graph \(n\geq8\): - Draw a number line. - Put a closed circle (because \(n\) can be equal to \(8\)) at \(8\) on the number line. - Shade to the …
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8 multiple choice 5 points this figure is most often called _. a trapez…
a parallelogram
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neicey traced the perimeter of the following figure to create a polygon…
Pentagon
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find the composition of transformations that maps \\( \\triangle abc \\…
\((x + 4,y-1)\)
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find the composition of transformations that maps ( \triangle abc ) to …
Reflect over the \(x-\)axis, then translate \((x + 3,y-1)\)
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5. audrey is ordering a cake for her birthday party. she needs a cake w…
E. when its radius increases from 8 cm to 10 cm
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what are the coordinates of point (2,3) after a translation to the left…
\((0,-1)\)
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find the composition of transformations that maps \\( \\triangle a b c …
\(-4\)
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9. which inequality matches this graph: closed circle at 10, shading le…
B. \(x\leq10\)
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which shape is a rhombus?
The fourth shape (the parallelogram - like shape at the bottom) is a rhombus.