Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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triangle def is congruent to △def by the sss theorem. which single rigi…
reflection
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could $\\triangle abc$ be congruent to $\\triangle adc$ by sss? explain…
Yes, but only if \(\overline{BC}\cong\overline{DC}\).
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the proof that δrst ≅ δvst is shown. given: st is the perpendicular bis…
perpendicular bisector theorem
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triangle abc is rotated 45° about point x, resulting in triangle efd. f…
C. \(4.2\) cm
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given: \\(\\overline{hf} \\parallel \\overline{jk}\\); \\(\\overline{hg…
D. \( \angle HFG\cong\angle KJG \) because alternate interior angles are congruent.
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consider the diagram. the congruence theorem that can be used to prove …
SAS.
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consider the diagram. which congruence theorem can be used to prove △ab…
HL
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triangles abc and dbc have the following characteristics: \\overline{bc…
HL
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consider the diagram. the congruence theorem that can be used to prove …
SSS.
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given: \\(\\overline{ar}\\) bisects \\(\\angle bac\\); \\(ab = ac\\) wh…
D. SAS
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line segments ad and be intersect at c, and triangles abc and dec are f…
ASA
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given: mq = nq; q is the midpoint of \\(\\overline{lp}\\); \\(\\overlin…
D. SAS
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which congruence theorem can be used to prove $\\triangle bda \\cong \\…
A. HL
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two sides and the included angle of one triangle are congruent to the c…
C. SAS
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given: ∠xwu ≅ ∠zvt; ∠ztv ≅ ∠xuw; \\overline{tu} ≅ \\overline{vw} which …
$\triangle ZVT\cong\triangle XWU$ by $ASA$
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two angles and the non-included side of one triangle are congruent to t…
B. AAS
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the graph shows triangles jkl and qrs. is jkl congruent to qrs? justify…
Yes, \( \triangle JKL \cong \triangle QRS \) by SSS congruence (all corresponding sides are equal).
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solve the inequality and graph the solution. 1 > (w + 6)/14 to draw a r…
$w < 8$ (Graph: Open circle at 8, arrow left)
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solve the inequality and graph the solution.\\(\\frac{z + 1}{4} < 1\\)\…
$z < 3$ Graph: Open circle at 3, arrow left.
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solve the inequality and graph the solution. 6 < -4t + 14 to draw a ray…
$t < 2$ (Graph: Open circle at 2, arrow pointing left)
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solve the inequality and graph the solution. 9 > 5 - 2k to draw a ray, …
$k > -2$ (Graph: Open circle at -2, arrow pointing right)
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solve the inequality and graph the solution. 5 - d < 3 to draw a ray, p…
$d > 2$ (Graph: Open circle at 2, arrow pointing right)
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dilating a figure with the center of dilation at a point △rst is dilate…
1 unit left, 2 units up
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dilating a figure with the center of dilation at a point △rst is dilate…
First blank: 3, Second blank: 6, Third blank: (2, 0)
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which graph has figures that can undergo a similarity transformation to…
The Middle-Right Graph (or the third graph from the left)
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calculating a scale factor quadrilateral qrst is dilated and translated…
\(\frac{1}{2}\)
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dilations to make similar figures given △abc, use a dilation with the c…
\( \boldsymbol{(6, -3)} \) (corresponding to the option with text "(6, -3)")
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h is the midpoint of \\(\\overline{fg}\\) and \\(\\overline{fg} \\perp …
\( \triangle EHF\cong\triangle EHG\) (by SAS); \( \overline{EG}\cong\overline{EF}\) (by CPCTC)
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yzing a dilation derek tried to dilate the isosceles trapezoid abdc wit…
The slope of \( AC \) is \( \boldsymbol{2} \). The slope of \( EG \) is \( \boldsymbol{2} \). The polygons are not dilations of each other because \(\boldsymbol{\text{the correspo…
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determining the similarity transformation which composition of similari…
a dilation with a scale factor greater than 1 and then a translation
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complete the proof that \\(\\overline{jk} \\cong \\overline{ik}\\). (im…
3. Reason: Definition of perpendicular lines (all right angles are congruent) 4. Reason: Reflexive property of congruence 5. Reason: AAS (Angle - Angle - Side) 6. Reason: CPCTC (C…
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identifying vertices of the pre-image of a dilation triangle xyz was di…
\((-8, - 4)\)
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finding the vertex from the pre-image the rule for the dilation of quad…
\((0, 1)\)
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consider the following inequality: $-\frac{2}{3}x + 9 > \frac{2}{3}x + …
The solution of the inequality is \(x < - 6\). On the number - line, we use an open circle at \(x = - 6\) (because the inequality is strict, \(x eq - 6\)) and shade the part of t…
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question 15 of 47 correct 13 incorrect 2 you have the right-of-way when…
D. Are already in a traffic circle.
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read the sentence from samuel johnson’s preface to a dictionary of the …
disentangled
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triangle angle sum theorem directions: complete the following task card…
55
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consider the following inequality: 2(-3z + 3) > 2z - 18 step 2 of 2: gr…
Graph an open - circle at \(3\) and shade the number line to the left of \(3\).
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graph. 13. ( x geq 3 )
A closed circle at \(x = 3\) with shading to the right.
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consider the following inequality. ( x + 3 geq 6 ) step 1 of 2: graph t…
Open circle at \(3\) and arrow to the right.
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use similar triangles to determine the equation of the line with a slop…
$y = \frac{1}{2}x + 2$
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use these similar triangles on the coordinate plane to determine the eq…
A. $y=\frac{5}{3}x$
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find the measure of angle c. 62° c 34° 62° 34° c = ?°
\(84\)
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what is the slope of this line? simplify your answer and write it as a …
\(-2\)
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27. which of the following equations represents a circle with a center …
c. $(x + 1)^2 + (y - 3)^2 = 4$
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26. what is the center of the circle with the equation ((x - 4)^2 + (y …
a. (4, 5)
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23 a circular track has a radius of 60 meters. what is the circumferenc…
a. 120π meters
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21. if the circumference of a circle is 50 meters, what is the radius? …
d. \(\frac{50}{2\pi}\) meters
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20. if the central angle of a sector is $2\\pi/3$ radians and the radiu…
c. 64π/3 square meters
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what is the coefficient of $x^3y^2$ in the expansion of $(x + y)^5$ usi…
d. 10
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the sum of the numbers in the third row of pascals triangle is: a. 10 b…
d. 4
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which of the following represents the sum of the numbers in the second …
a. 4
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in pascal’s triangle, which row sums to 128? a. fifth row b. seventh ro…
b. Seventh row
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what is the binomial expansion of $(a + 2b)^2$ using pascal’s triangle?…
b. \(a^{2}+4ab + 4b^{2}\)
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the fifth row of pascal’s triangle is: a. 1, 4, 6, 4, 1 b. 1, 2, 1 c. 1…
c. 1, 5, 10, 10, 5, 1
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10. for a circle with a radius of 5 meters, what is the length of an ar…
c. $\frac{5\pi}{6}$ meters
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which row of pascal’s triangle corresponds to the coefficients of ((x +…
b. 1, 7, 21, 35, 35, 21, 7, 1
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6. if a central angle measures 2π/5 radians in a circle with radius 5 c…
c. 2π cm
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5. if a circles sector has an area of 25π square cm and the central ang…
c. 10 cm
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4. which of the following angles is equivalent to π/6 radians? a. 30 de…
a. 30 degrees
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2. which unit below is used to measure angles in circles? a. meters b. …
c. Radians
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1. what is the center of the circle with the equation ((x - 7)^2 + (y +…
a. (7, -8)
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question 14 solve and graph the following inequality: |3x - 9| > 6
The solution to the inequality \(|3x - 9| > 6\) is \(x < 1\) or \(x > 5\). The graph has open circles at \(x = 1\) and \(x = 5\), with shading to the left of \(x = 1\) and to the …
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put the tiles in order to make a sentence. has three sides a triangle .…
A triangle has three sides.
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based on the given diagram, complete the sentence below. point d is △ab…
perpendicular bisectors
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suppose quadrilaterals a and b are both squares. complete the statement…
Quadrilaterals A and B are scaled copies of one another because all four side lengths of a square are equal and scaling a square gives a square.
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crater lake in oregon is shaped like a circle with a diameter of about …
17 miles 24 square miles
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graph the hyperbola. $9x^2 - 4y^2 = 144$
The hyperbola \(\frac{x^{2}}{16}-\frac{y^{2}}{36}=1\) has vertices at \((\pm4,0)\) and asymptotes \(y=\pm\frac{3}{2}x\). Graph by plotting vertices, drawing asymptotes, and sketch…
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the rectangle on the grid is a scale drawing of a field the scale facto…
A. 42 square centimeters B. 1050 square meters
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18. the rectangle on the grid is a scale drawing of a field. the scale …
\(x = 20\)
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14 10. below is a scale drawing of a parking lot. the dimensions of the…
For A: 15 feet For B: 375 square feet
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the width of a rectangle is \\(sqrt3{216^2}\\) ft and the length is \\(…
$576$
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nextgen math 16 the rectangle on the grid is a scale drawing of a custo…
A. 32 square centimeters B. 800 square meters (Note: If the grid has different counts, e.g., width 3, height 7: A = 21, B = 3×5×7×5 = 525. Adjust based on precise grid. The above …
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6 from unit 3, lesson 14 triangle a is an isosceles triangle with two a…
# Explicación paso a paso: ## Paso 1: Identificar la pendiente positiva y negativa La línea \( l \) tiene una pendiente positiva porque cuando \( x \) aumenta, \( y \) también aum…
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graph the hyperbola. \\(\\frac{y^2}{25} - \\frac{x^2}{9} = 1\\)
Graph the hyperbola with vertices \((0,5)\) and \((0,-5)\) and asymptotes \(y=\frac{5}{3}x\) and \(y =-\frac{5}{3}x\) as described above.
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solve the following by rewriting each side as powers of the same base. …
\( x = -3 \) ### Second Problem: Solve \( 3(4)^n = 48 \)
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pace is a parallelogram and m∠pac = 136°. find m∠acr. m∠acr = \\(\\squa…
\( 44 \)
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unit 3 lesson 3- practice problems 1. diego measured the diameter and c…
The flying disc's circumference measurement (28 cm) is inaccurate. For a diameter of 23 cm, the expected circumference is about 72.22 cm (using $C≈3.14d$), which is much larger th…
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which of the following statements would you say with a lighthearted ton…
d. all of the above
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or subtract. 1 ( 2 + 9 = ) ____ 2 ( 5 + 7 = ) ____ 3 ( 8 + 3 = ) ____ 4…
1. \(11\) 2. \(12\) 3. \(11\) 4. \(9\) 5. \(7\) 6. \(6\) 7. \(12\) 8. \(10\) 9. \(11\) 10. \(5\) 11. \(3\) 12. \(11\) 13. \(10\), \(12\), \(2\), \(11\) 14. \(10\), \(5\), \(6\), \…
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a rectangle has an area of 138 square centimeters. the length is 5 more…
length: \(23\) width: \(6\)
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a rectangle has an area of 120 square yards. the length is 4 more than …
Length: \(24\) yards Width: \(5\) yards
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classify this triangle by its sides. isosceles but not equilateral equi…
isosceles but not equilateral
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find the measures of an interior angle and an exterior angle of a regul…
\( 120^{\circ} \)
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7) radius = diameter = area = c = 8) radius = diameter = area = c = 9) …
7) Radius \(= 15m\), Diameter \(=30m\), Area \(\approx706.5m^{2}\), \(C\approx94.2m\) 8) Radius \(=8cm\), Diameter \(=16cm\), Area \(\approx200.96cm^{2}\), \(C\approx50.24cm\) 9) …
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name morgan calhue ii date class day#7a: determine the type of transfor…
1. The figure underwent a translation. 2. This is because translation slides the figure without rotating, reflecting, or resizing it. 3. The preserved properties are shape, size, …
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you start at (-3, 1). you move left 1 unit. where do you end?
$(-4,1)$
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you start at (4, -5). you move up 8 units and left 8 units. where do yo…
(-4, 3)
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you start at (-4, 5). you move down 9 units. where do you end?
$(-4, -4)$
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19. this figure is a detail of one vertex of the tiling at the beginnin…
\(x = 120^{\circ}\)
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you start at (-2, 1). you move up 3 units. where do you end?
$(-2, 4)$
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you start at (2, 2). you move right 3 units and left 2 units. where do …
(3, 2)
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△abc∼△def which statement is a proportionality statement for the ratio …
The first option ( \( \boldsymbol{\frac{BC}{EF}=\frac{AC}{DF}=\frac{AB}{DE}} \) )
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you start at (-5, 4). you move up 1 unit. where do you end?
$(-5, 5)$
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you start at (-4, -3). you move up 7 units. where do you end?
(-4, 4)
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14. how many sides does an equiangular polygon have if each interior an…
The equiangular polygon has \(15\) sides.
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find the value of each variable. (there is a quadrilateral with angles …
\(y = 95\), \(z = 74\)
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you start at (-3, -2). you move left 2 units. where do you end?
$(-5, -2)$
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a rectangle has a height of $7x^2$ and a width of $3x^2 + 8x + 7$. expr…
\(21x^{4}+56x^{3}+49x^{2}\)
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5. a rectangular room is 12 feet long and 7 feet wide. what is the peri…
1,158.24