Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which statements are true regarding the prism? check all that apply the…
The prism has 9 edges. The bases of the prism are triangles. The prism has 5 faces.
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which three - dimensional solid can have a vertical cross section that …
The fourth three - dimensional solid (the cylinder oriented such that its height is horizontal)
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what is the approximate side length of the square? 3.0 units 3.5 units …
4.2 units
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the figure shown is a rhombus. which equation is true regarding the ang…
\(2x + 2y = 4z\)
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the figure shown is a rhombus. which equation is true regarding the ang…
\(2x + 2y=4z\)
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a quilt piece is designed with four congruent triangles to form a rhomb…
A. \(a = 60^{\circ}\), C. The perimeter of the rhombus is \(16\) inches, E. The length of the longer diagonal is approximately \(7\) inches.
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trec is a rectangle. what is the length of et? 10 units 17 units 20 uni…
17 units
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rhombus lmng is shown with its diagonals. the length of ln is 28 centim…
14 cm
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cal uses a computer program to resize photos for the online school news…
\(D'(\frac{1}{2},\frac{1}{2})\), \(E'(4,\frac{1}{2})\), \(F'(4,5)\), \(G'(\frac{1}{2},5)\)
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which two - dimensional figure will create a cone with a radius of 3.5 …
The second figure (the right - triangle with base \(3.5\) and height \(7\))
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6. consider a 36×36 grid that is used to make one large rectangle that …
B. \(36^{2}-14^{2}=(36 + 14)(36-14)\)
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a square stained glass window is divided into four congruent triangular…
43.5 inches
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1. abcd is a parallelogram 1. given 2. ∠amb, ∠bmc, ∠cmd, and ∠dma are r…
\(\triangle AMB\cong\triangle CMB\cong\triangle CMD\cong\triangle AMD\)
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a rectangle has a width of 9 units and a length of 40 units. what is th…
C. 41 units
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rectangle pqrs is shown with its diagonals, (overline{pr}) and qs. what…
isosceles triangle
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2. use the formula for the area of a rectangle to write an equation for…
\(504\)
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gh ⊥ eh, gh ∥ ef, and ef ⊥ fg. complete the proof that △efg ≅ △ghe. 1 g…
The reason for \(\angle FEG\cong\angle EGH\) is "Alternate - Interior Angles Theorem" and the reason for \(\triangle EFG\cong\triangle GHE\) is "AAS (Angle - Angle - Side) Congrue…
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2. use the formula for the area of a rectangle to write an equation for…
\(1296\)
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what solid will be produced if rectangle abcd is rotated around line m?…
cylinder, radius \( = 6\) in., height \( = 5\) in.
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a 25×25 square grid is used to make one large rectangle joined together…
\(196\) square units
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fh bisects ∠gfi and ∠g ≅ ∠i. complete the proof that △fhi ≅ △fhg. 1. fh…
1. Given 2. Given 3. Definition of angle bisector 4. Reflexive property of congruence 5. ASA (Angle - Side - Angle) congruence criterion
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a 25×25 square grid is used to make one large rectangle joined together…
Length \(=25 + 11\) units, Width \(=25-11\) units
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use the image below to answer solve the problems. find the ( m angle 4 …
\(68^{\circ}\)
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identifying cross sections what is the shape of the horizontal cross se…
pentagon
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which two triangles are congruent by the sss theorem? complete the cong…
$\triangle XWY\cong\triangle GFH$
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the area of the largest square in the figure is $(m + n)^{2}$. use this…
\(m^{2}+2mn + n^{2}\)
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10) if an isosceles triangle has a base angle that measures 63 degrees,…
\(54^{\circ}\)
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7b) what is the shortest side?* choose segment ab segment bc segment ac…
Segment BC
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7a) what is the longest side?* choose segment ab segment bc segment ac
Segment \(AC\)
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18c) what choice below states that two angles add to 90? * definition o…
definition of complementary angles
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18a) what choice below states that the three angles of a triangle add t…
18a) triangle sum theorem 18b) definition of supplementary angles
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17) find x* your answer
\(x = 70^{\circ}\)
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10. solve for the m∠y. 60° 130° x° y° 20° clear all 50° 40° 70° 60°
\(70^{\circ}\)
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14b) a triangle has a side that measures 7 units and a second side that…
# Explicación paso a paso: ## Paso 1: Aplicar la desigualdad triangular En un triángulo, la longitud de cualquier lado debe ser menor que la suma de las longitudes de los otros do…
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isosceles triangle lmn is graphed with vertices l(0,1), m(3,5), and n(6…
0
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which property is illustrated by this statement? if m∠a = 25° and 25° =…
Transitive Property
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14) a triangle has a side that measures 7 units and a second side that …
3
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13a) measure of angle 1 * your answer 13b) measure of angle 2 *
\(m\angle1 = 70^{\circ}\) \(m\angle2 = 19^{\circ}\) \(m\angle3 = 121^{\circ}\) \(m\angle4 = 59^{\circ}\) \(m\angle5 = 40^{\circ}\)
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determine which statements are true regarding the given solid. check al…
The three - dimensional solid is a hexagonal pyramid. The solid can be created by stacking dilated hexagons vertically. Point \(D\) is the apex of the pyramid.
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12) find x*
\(x = 62^{\circ}\)
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engineers measure angles in gradients, which are smaller than degrees. …
\(1.11\)
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5. the length of the base on an isosceles triangle is 2x. the length of…
16
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the given three - dimensional solid is one of the bases is edge $overli…
The given three - dimensional solid is a triangular prism. One of the bases is \(\triangle HJK\) (or \(\triangle LMI\)). Edge \(\overline{JM}\) intersects edge \(\overline{LM}\) a…
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the given three - dimensional solid is one of the bases is edge ( overl…
The given three - dimensional solid is a prism. One of the bases is \( \triangle HKL\) (or \( \triangle JMI\)). Edge \(JM\) intersects edge \(LM\) at point \(M\).
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decide if this statement is valid or invalid. if a rectangle has a leng…
Invalid
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decide if this statement is valid or invalid. all triangles have positi…
Invalid
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1. if \\( \\overline { r t } \\) bisect \\( \\overline { s u } \\), fin…
\( ST = 23\), \( RU = 8\), \( SV=\sqrt{23^{2}-5^{2}}=\sqrt{504}=6\sqrt{14}\approx22.45\), \( SU = 2\sqrt{504}=12\sqrt{14}\approx44.9\)
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decide if this statement is valid or invalid. a polygon with more than …
Invalid
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look at this graph: write the equation of the line.
\(x = 900\)
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given: △dfe is isosceles with base fe, (overline{fb}congoverline{ec}). …
DE, $\angle DFB$, $\angle DEC$, $\triangle DFB$, $\triangle DEC$
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explore creating a three - dimensional solid 1. press continue to stack…
parallelograms
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classifying a quadrilateral on the coordinate plane determine whether q…
Slope of \(AB\): \(5\); Slope of \(DC\): \(-\frac{1}{5}\); Slope of \(BC\): \(\frac{2}{3}\); Slope of \(AD\): \(\frac{2}{3}\); The quadrilateral is a trapezoid because \(BC\parall…
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7. if ( overline{qt} ) is the perpendicular bisector of ( overline{pr} …
\(x = 7\) \(y = 12\) \(PQ=29\) \(QR = 29\) \(PS=32\) \(SR=32\) \(PT=32\) \(PR=64\)
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match the description to the two - dimensional figure it represents. fi…
1. circle 2. octagon 3. triangle 4. square
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5. find cd.
\(48\)
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22. given: ( cparallel d ), ( angle1congangle2 ) prove: ( aparallel b )
| Statement | Reason | |--|--| | 1. \(c\parallel d\) | Given | | 2. \(\angle1\cong\angle2\) | Given | | 3. \(\angle1=\angle3\) | Corresponding angles (because \(c\parallel d\)) | …
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su bisects ∠tuv and ∠tsv. complete the proof that △suv ≅ △sut. 1 su bis…
The reason for statement \(3\) (\(\angle SUT=\angle SUV\)) is "Definition of angle bisector" (since \(SU\) bisects \(\angle TSV\)). The reason for statement \(6\) (\(\triangle SUV…
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amalia et jim soccupent du nouvel aménagement dun parc de planches à ro…
\(527.8\)
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what is true about triangle lmn? check all that apply. □ lm ⊥ mn. □ the…
\(\overline{LM}\perp\overline{MN}\), The triangle is isosceles, The triangle is a right triangle.
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triangle congruence: sas proving triangles congruent 1. c is the midpoi…
2. $BC\cong CD$; 2. definition of midpoint
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rashad is considering two designs for a garden. in design 1 he would us…
Design 2, because it requires 12 fewer feet of fencing than Design 1.
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use the diagram at the right. find the measure of \\( \\angle a o c \\)…
\(67\)
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write a congruence statement for each figure. 19. 20.
19. \( \triangle DGE\cong\triangle FEG\) 20. \( \triangle XYW\cong\triangle ZYW\)
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23. given $\triangle abccong\triangle def$, find the values of $x$ and …
\(x = 9.8\) and \(y = 29\)
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21. find the value of x.
\(x = 25\)
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4. find mn. 6. find jl.
4. \(MN = 71\) 6. \(JL = 68\)
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what do the closed and open circles on the graph of a step function ind…
A closed circle indicates that the \(x\) - value is **included in** that part of the domain, and an open circle indicates that the point is **not included in** that part of the do…
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2. mark your triangles to show that (\triangle amtcong\triangle cdn). i…
Congruent angles: \(\angle A\cong\angle C\), \(\angle M\cong\angle D\), \(\angle T\cong\angle N\); Congruent sides: \(AM\cong CD\), \(MT\cong DN\), \(AT\cong CN\)
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make a conjecture. how could the distance formula and slope be used to …
All of the options apply. - Use the distance formula to measure the lengths of the sides. - Use the slope to determine whether opposite sides are parallel. - Use the slope to chec…
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2 which of the following can be used to prove △pqn ≅ △srq? asa sas ssa …
\(SAS\)
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example 4: find the surface area of a round tank with a diameter of 30 …
The surface area of the round tank (excluding the top) is approximately \(2119.5\) square - feet.
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21. use the diagram below. determine which lines, if any, can be proved…
| Angle Relationship | Parallel Lines | Converse | |--|--|--| | A. \(\angle8\cong\angle19\) | \(l\parallel n\) | B | | B. \(\angle13\cong\angle15\) | \(j\parallel k\) | A | | C. \…
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9. if ( mangle1 = 3x - 3 ) and ( mangle5 = 7x + 23 ), for what value of…
\(x = - 6.5\)
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9. if ( mangle1 = 3x - 3 ) and ( mangle5 = 7x + 23 ), for what value of…
The measure of each angle (\(m\angle1\) and \(m\angle2\)) is \(50\)
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directions: compare the sides and angles by filling in the blank with a…
21. \(QR<RS\) 22. \(AB > CD\) 23. \(m\angle FJG<m\angle HJG\) 24. \(m\angle QSP>m\angle QSR\)
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marina wants to install security cameras in her store, which has dimens…
12
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directions: order the sides from least to greatest for 17 - 18, then gr…
17. \(AB\lt AC\lt BC\) 18. \(ML\lt LN\lt MN\) 19. \(ST\gt RT\gt RS\) 20. \(HJ\gt HK\gt JK\)
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given ( l parallel m parallel n ), find the value of ( x ).
\(63\)
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two new flagpoles are installed at city hall. the flagpole to fly the u…
$32.91$
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find the measure of the missing angles. answer attempt 1 out of 3 $d = …
\(d = 90^{\circ}\), \(e = 72^{\circ}\), \(f = 108^{\circ}\)
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∠1 and ∠2 are vertical angles. if ( mangle1=(2x - 4)^{circ}) and ( mang…
\(x = 4\)
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practice & problem solving use the figure for exercises 16 - 17. show t…
Lines \(p\) and \(q\) are not parallel.
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you are trying to determine the height of a lamppost by placing a mirro…
\(19.71\)
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the giant wheel at cedar point in ohio is one of the tallest ferris whe…
\(15.00\) feet
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practice & problem solving what is the value of x in each figure? 11. 1…
11. \(x = 56\) 12. \(x = 135\) 13. \(x = 75\) 14. \(x = 26\) 15. The measure of the exterior angle is \(142^{\circ}\)
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a 13.5 - foot ladder casts a shadow that is 36 feet long. a man who is …
\(14.40\) feet
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stephan, who is twice as tall as his younger brother nik is 6.7 feet ta…
\(47.00\) feet
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reflection 3: reflect the points across the line y = x fill out table: …
- **Reflection 3 - Table**: | \(x\) | \(y\) | \(x'\) | \(y'\) | |---|---|---|---| | \(3\) | \(2\) | \(2\) | \(3\) | | \(-1\) | \(3\) | \(3\) | \(-1\) | | \(1\) | \(0\) | \(0\) | \…
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on a sunny day, a tree casts a shadow that is 1 feet long. a 4.3 foot t…
\(7.17\)
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at the same time a 7 foot street sign casts a 20 foot shadow, a telepho…
\( 14.00 \)
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in $\triangle jkl$, $q$ is the centroid and $ml = 48$. $mq=square$$ql=s…
\(MQ = 16\), \(QL = 32\)
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a car dealership wants to sell a used jeep wrangler for $32,000. the de…
\((32000,0)\)
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directions: order the angles from least to greatest for 13 - 14, then g…
13. \(\angle N<\angle R<\angle Q\) 14. \(\angle G<\angle H<\angle J\)
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what are the values of m and w? (triangles are not drawn to scale.) sho…
\(m = 17.5\), \(w=24.5\)
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what are the values of n and x? (triangles are not drawn to scale.) sho…
\(n = 16\), \(x = 24\)
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what are the values of n and k? (triangles are not drawn to scale.) sho…
\(n = 8\), \(k = 10\)
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write the equation in vertex form for the parabola with vertex (0, -6) …
\(x^{2}=8(y + 6)\)
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write the equation in vertex form for the parabola with vertex (0, -7) …
\(x^{2}=-8(y + 7)\)
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what are the values of $x$ and $m$? (triangles are not drawn to scale.)
\(x = 8\) \(m = 10\)
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write the equation in vertex form for the parabola with vertex (0,0) an…
\(y =-\frac{1}{36}x^{2}\)