Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which figure represents the image of parallelogram lmnp after a reflect…
figure C
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to prove quadrilateral wxyz is a parallelogram, travis begins by provin…
\(\angle ZWY\cong\angle XYW\) by the alternate interior \(\angle s\) theorem, \(\overline{WY}\cong\overline{WY}\) by the reflexive property, \(\overline{WX}\cong\overline{ZY}\) by…
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what name best describes this shape? rhombus trapezoid square rectangle…
square
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quadrilateral rstu has one pair of opposite parallel sides and one pair…
It cannot be determined from the information given.
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the function rule ( t_{-4,6}(x,y) ) could be used to describe which tra…
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
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match the graphs to their equations. \\( \\frac{(x - 2)^2}{16}+\\frac{(…
\(\frac{(x - 2)^2}{16}+\frac{(y + 1)^2}{16}=1\) matches \(b\); \(\frac{(x + 2)^2}{16}+\frac{(y - 1)^2}{16}=1\) matches \(c\); \(\frac{(x - 2)^2}{16}+\frac{(y - 1)^2}{16}=1\) match…
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determining whether a figure is a parallelogram based on the measures s…
Yes, one pair of opposite sides could measure \(10\) in., and the other pair could measure \(13\) in.
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what name best describes this shape? parallelogram square trapezoid rho…
parallelogram
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match the graph to its equation. $\frac{(x - 9)^2}{16}+\frac{(y + 1)^2}…
Assuming the order of graphs from top - to - bottom as \(A\), \(B\), \(C\), \(D\) - \(A\): \(\frac{(x - 9)^{2}}{16}+\frac{(y - 1)^{2}}{16}=1\) - \(B\): \(\frac{(x + 9)^{2}}{16}+\f…
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answer attempt 1 out of 2 leg 1: leg 2: hypotenuse: submit answer
Leg 1: \(4\), Leg 2: \(2\), Hypotenuse: \(2\sqrt{5}\) (or approximately \(4.47\))
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write the equation of the ellipse $9x^{2}+36y^{2}-90x - 288y + 477 = 0$…
\(h = 5\), \(k = 4\), \(a = 6\), \(b = 3\)
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which statement about the transformation is true? it is rigid because a…
It is rigid because all side lengths and angles are congruent.
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given: quadrilateral mnol with \\( \\overline { mn } \\cong \\overline …
1. \(NOM\) 2. \(NOM\) 3. alternate interior angles
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graph a right triangle with the two points forming the hypotenuse. usin…
The distance between the two points \((-3,-4)\) and \((-5,-6)\) is \(2\sqrt{2}\)
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triangle abc is rotated to create the image abc. which rule describes t…
\((x,y)\to(-x,-y)\)
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in quadrilateral lmno, \\( \\overline { lo } \\parallel \\overline { mn…
\(\overline{ML}\parallel\overline{NO}\), \(\overline{LO}\cong\overline{MN}\)
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the figure is an isosceles trapezoid. how many lines of reflectional sy…
1
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find the length of the third side. if necessary, write in simplest radi…
\(3\)
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given the ellipse \\( \\frac{(x - 6)^{2}}{16}+\\frac{(y - 3)^{2}}{25}=1…
The center point is \((6,3)\) For the vertices: ## Step1: Recall the formula for vertices Since \(a^2 = 25\), then \(a = 5\). The vertices of the ellipse \(\frac{(x - h)^2}{b^2}+\…
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find the length of the third side. if necessary, write in simplest radi…
\(\sqrt{113}\)
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proving the converse of the parallelogram diagonal theorem given: ( ove…
3. vertical angles theorem; 4. SAS congruence theorem; 5. CPCTC
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determining whether a consider quadrilateral lmno. if quadrilateral lmn…
\(105\)
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4. if wxyz is a square with wz = 27, find each measure. zy = wy = rx = …
\(ZY = 27\), \(WY=27\sqrt{2}\), \(RX=\frac{27\sqrt{2}}{2}\), \(m\angle WRZ = 90^{\circ}\), \(m\angle XYZ = 90^{\circ}\), \(m\angle ZWY=45^{\circ}\)
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assignment 10.1: the ellipse score: 40/100 answered: 2/5 question 3 giv…
Center point: \((0,3)\) Vertices: \((0,8)\), \((0,-2)\), \((\sqrt{10},3)\), \((-\sqrt{10},3)\)
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which figure has an order 3 rotational symmetry? right triangle equilat…
equilateral triangle
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28. given: \\( \\triangle bat \\cong \\triangle cat \\) which statement…
\(\overline{AB}\cong\overline{CT}\)
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which figure has the same order of rotational symmetry as a rectangle? …
rhombus
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27. given: \\( \\triangle bat \\cong \\triangle cat \\) which statement…
\(\angle BAT\cong\angle CAT\)
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in quadrilateral abcd, \\( \\overline{ad} \\parallel \\overline{bc} \\)…
31 units
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assignment 10.1: the ellipse score: 20/100 answered: 1/5 question 2 giv…
Center point: \((5,3)\) Vertices: \((1,3),(9,3)\)
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which angle of rotation is an angle of rotational symmetry for all figu…
\(360^{\circ}\)
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26. suppose ∠bca ≅ ∠eda. using only the information provided in this pr…
by SAS only
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if the smallest angle of rotation for a regular polygon is 18°, how man…
C. 20
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25. what other information to do you need to prove ( \triangle abe cong…
\(\triangle EAC\) is equilateral triangle.
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what is the order of rotational symmetry for a rhombus? 1 2 3 4
2
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which set of side lengths represents a triangle with 3 lines of reflect…
\(5,5,5\)
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24. what additional information is needed to prove ( \triangle pmocong\…
\(\overline{OM}\cong\overline{ON}\)
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practice proving that a quadrilateral is a parallelogram in quadrilater…
\(x = 3\)
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a regular polygon has 15 sides. which is a possible angle of rotational…
\(72^{\circ}\)
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assignment 10.1: the ellipse score: 0/100 answered: 0/5 question 1 give…
\(\frac{x^{2}}{81}+\frac{y^{2}}{25}=1\)
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23. polygon abcde is congruent to polygon tvsrk. \\( \\angle eab \\) co…
\(\angle T\)
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how many lines of reflectional symmetry does an equilateral triangle ha…
3
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22. if ( \triangle deccong\triangle bec ), which is true by cpctc? ( ov…
$\angle EBC\cong\angle EDC$
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21. in the paper airplane shown, ( abcdcong efgh ), ( mangle b = mangle…
\(52\)
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20. use the information in the figure. if ( mangle f = 116 ), find ( ma…
32
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triangle abc was transformed using the rule (x, y) → (-y, x). the verti…
The transformation was a \(270^{\circ}\) rotation about the origin.
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19. which statement is given in the diagram? ∠abc≅∠ade ∠acb≅∠ade ∠acd≅∠…
$\angle ACB\cong\angle ADE$
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this square contains several circles. determine the radius and diameter…
| Circle | Radius (cm) | Diameter (cm) | | ---- | ---- | ---- | | \(a\) | \(1\) | \(2\) | | \(b\) | \(2\) | \(4\) |
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18. suppose \\( \\overline { tm } \\cong \\overline { gl } \\) and \\( …
\(\overline{MD}\cong\overline{SG}\)
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17 can you use the sss postulate or the sas postulate to prove △abc and…
both apply
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identifying linear pairs which are linear pairs? check all that apply. …
\(\angle EAD\) and \(\angle DAC\)
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find an equation for the perpendicular bisector of the line segment who…
\(y =-\frac{7}{2}x - 8\)
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show what you know determine the perimeter of this shape. 5 cm
\(35.7\) cm
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unit 4 triangle properties test order the angles of \\( \\triangle rst …
\(\angle T<\angle R<\angle S\)
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16. △hmp is isosceles triangle with base (overline{mp}). also, (overlin…
A. AAS Theorem
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question 12 draw a circle with an equation of $x^{2}+4x + y^{2}-4y = 1$.
The circle has center \((-2,2)\) and radius \(r = 3\).
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assignment 10.0: distance and midpoint formulas; circles score: 78/100 …
\(h = 3\), \(k = 5\), \(r = 6\)
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find the x - intercept and the y - intercept of the line below. click o…
(a) \(x\) - intercept: \(-2\) (b) \(y\) - intercept: \(2\)
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14. given: \\( \\angle 1 \\cong \\angle 2, \\angle 3 \\cong \\angle 4, …
AAS Theorem
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unit 4 triangle properties test a local cable company is running cable …
\(x = 75^{\circ}\)
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13. xz = n, wz = 2n - 5, and the perimeter of △xwz is 20. what is the v…
\(6\) (the fourth option)
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12. if ( mangle c = 49 ), find the values of ( x ) and ( y ). ( x = 49,…
\(x = 90,y = 41\) (the fourth option)
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unit 4 triangle properties test given△abc, where ( mangle a = 42^{circ}…
\(77^{\circ}\)
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11. given: \\( \\angle d \\cong \\angle t, \\angle e \\cong \\angle u, …
AAS Theorem
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9. in the figure, ( \triangle dhgcong\triangle fhe ). which statement i…
\(\angle HDG\cong\angle HFE\)
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question 10 $x^{2}+y^{2}-2x + 6y + 6 = 0$ is the equation of a circle w…
\(h = 1\) \(k=-3\) \(r = 2\)
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8. how many triangles are shown? the triangles may overlap. 7 9 8 6
8
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sara wants to fence in her triangular backyard. if she buys three piece…
Sara does not have enough wood to build her triangular fence, because the two smallest side measurements do not add up to be larger than the third side.
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7. which additional congruence statement could you use to prove that $\…
\(\overline{AB}\cong\overline{AD}\)
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6. what other information do you need to prove ( \triangle dac cong \tr…
\(\angle ADC\cong\angle CBA\)
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assignment 10.0: distance and midpoint formulas; circles score: 60/100 …
\(h =-\frac{1}{2}\), \(k=-4\), \(r=\frac{5\sqrt{5}}{2}\)
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5. what is the measure of the vertex angle of an isosceles triangle if …
\(96^{\circ}\) (the second option)
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suppose ( overline{ab} cong overline{ae} ). can you use the sss postula…
by SAS only
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unit 4 triangle properties test given: • \\( \\angle a b d = 105 ^ { \\…
\(81^{\circ}\)
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assignment 10.0: distance and midpoint formulas; circles score: 52/100 …
\((x + 4)^2+(y - 5)^2=81\)
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3. in the diagram, $\triangle abccong\triangle edc$. which statement is…
\(\overline{BC}\cong\overline{CE}\) (the fourth option)
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2. name the postulate or theorem you can use to prove ( \triangle abdco…
AAS Theorem
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a triangle has vertices at l(2, 2), m(4, 4), and n(1, 6). the triangle …
The rule for the transformation is \((x,y)\to(-x, -y)\). The coordinates of \(L'\) are \((-2,-2)\). The coordinates of \(N'\) are \((-1,-6)\). So the correct options are: - The ru…
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assignment 10.0: distance and midpoint formula score: 44/100 answered: …
\((x - 2)^2+(y - 1)^2=1\)
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1. given: \\( \\overline { p s } \\cong \\overline { p t } , \\angle p …
\(\angle PRS\) and \(\angle PRT\) are congruent supplementary angles.
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unit 4 triangle properties test given \\( \\triangle a b c \\) below, o…
\(\overline{AB},\overline{AC},\overline{BC}\)
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one vertex of a polygon is located at (3, -2). after a rotation, the ve…
\(R_{0,90^{\circ}}\), \(R_{0,270^{\circ}}\)
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unit 4 triangle properties test given the following information below, …
\(x = 61\), \(y = 48\)
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triangle xyz has vertices x(1, 3), y(0, 0), and z(-1, 2). the image of …
\(R_{0,90^{\circ}}\)
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unit 4 triangle properties test given: △rst rs = 14 in. st = 10 in. tr …
\(\angle R,\angle T,\angle S\)
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which three lines in this poem indicate that the poetic speaker refuses…
"Farewell, Love, and all thy laws for ever", "Thy baited hooks shall tangle me no more", "And in me claim no more authority"
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unit 4 triangle properties test given \\( \\triangle a b c \\) below, o…
\(\angle C,\angle B,\angle A\)
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a diagonal is drawn on a square. how many triangles are formed? what is…
\(2\) \(180^{\circ}\) \(360^{\circ}\)
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1. the two triangles are congruent. find all missing sides and angles. …
\(\overline{HI}\cong\overline{PR}\), \(\angle P\cong\angle H\), \(\overline{PQ}\cong\overline{HJ}\), \(\angle JIH\cong\angle RQP\), \(\overline{JH}\cong\overline{QP}\), \(\angle J…
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the pythagorean theorem is $c^{2}=a^{2}-b^{2}$
false
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use soh - cah - toa to find sin(θ)
$0.6$
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parallelogram abcd is rotated to create image abcd. which rule describe…
\((x,y)\to(y,-x)\)
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use soh - cah - toa to find cos(c).
\(0.47\)
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a triangle has vertices at ( r(1,1) ), ( s(-2,-4) ), and ( t(-3,-3) ). …
A. \((-4,2)\)
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use soh - cah - toa to find sin(a)
\(\frac{32}{40}\)
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use soh - cah - toa to find cos(a).
$0.88$
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13. given: ( abcong de ), ( angle bcongangle e ), ( angle acongangle d …
# 13. ## Step1: Given information $AB\cong DE$, $\angle B\cong\angle E$, $\angle A\cong\angle D$ are given. ## Step2: Use ASA (Angle - Side - Angle) congruence criterion Since two…
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trapezoid g h j k was rotated 180° about the origin to determine the lo…
\((2,3)\) (the first option)
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use soh - cah - toa to find tan(x)
\(1.33\)
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what type of triangles do you use the trig ratios with? right triangle …
right triangle