幾何
三角形、円、座標幾何、証明問題。
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score: 0/5 penalty: none question in △klm, k = 50 cm, l = 78 cm and m =…
$1536.6$
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question. the figure below is dilated with the center of dilation at th…
$(-1,\frac{1}{2})$
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which transformations are rigid transformations? check all that apply. …
B. reflection, C. rotation, E. translation
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in the diagram, abcd ~ abcd. what are the angle measures of abcd? m∠a =…
125, 55, 45, 135
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the figure below is rotated 180° counterclockwise and then translated l…
\((6,4)\)
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area (multistep) score: 0.5 penalty: none question in △klm, k = 50 cm, …
$1536.6$ square centimeters
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the figure below is rotated 180° counterclockwise and then translated l…
\((1,9)\)
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in △klm, k = 50 cm, l = 78 cm and m = 52 cm. find the area of △klm to t…
\(1536.6\) square centimeters
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breaking apart figures to find volume. what is the volume of the solid …
1. **For figure 1**: - # Explanation: - ## Step1: Recall volume formula for rectangular - prism The volume formula for a rectangular - prism is \(V = l\times w\times h\), where \(…
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the figure below is dilated with the center of dilation at the origin a…
\((-2,0)\)
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in △uvw, u = 5 cm, ∠w = 25°, and ∠u = 19°. find the area of △uvw, to th…
\(1.7\mathrm{cm}^{2}\)
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question. in △uvw, u = 5 cm, ∠w = 25° and ∠u = 19°. find the area of △u…
$11.3$
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draw a line representing the ise\ and a line representing the un\ of th…
# Explicación: ## Paso 1: Elegir dos puntos en la línea Tomemos los puntos $(0,4)$ y $(2,0)$ en la línea. ## Paso 2: Calcular el "rise" y el "run" El "rise" es la diferencia en la…
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question: which of the following equations could be used to find the va…
The first option \(\frac{\sin(x)}{65}=\frac{\sin(60)}{56}\) and the fourth - option \(x^{2}=56^{2}+65^{2}-2(56)(65)\cos(60)\) are the equations that could be used to find the valu…
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what is the reason for the last step in the given proof? a. substitutio…
C. Congruent Supplements Theorem
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1. write the equation that models the height of the roller coaster. sta…
$y=\sqrt{r^{2}-x^{2}}$
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in $delta xyz$, $y = 55$ inches, $angle x = 8^{circ}$ and $angle y=147^…
$163.4$ square inches
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in $delta xyz$, $y = 55$ inches, $angle x = 8^{circ}$ and $angle y=147^…
$163.9$ square inches
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1. write the equation that models the height of the roller - coaster. s…
$y = \sqrt{r^{2}-x^{2}}$
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if a(x1, y1), b(x2, y2), c(x3, y3), and d(x4, y4) form two line segment…
C. $\frac{y_4 - y_3}{x_4 - x_3}\times\frac{y_2 - y_1}{x_2 - x_1}=-1$
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breaking apart figures to find volume what is the volume of the solid f…
1. $12$ ft³ 2. $36$ ft³ 3. $36$ ft³ 4. $52$ cm³
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in $delta vwx, v = 7.5$ inches, $angle x = 99^{circ}$ and $angle v = 33…
$38.8$ square inches
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question what is the image point of (-2,5) after the transformation $t_…
$(6,9)$
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in $delta vwx, v = 7.5$ inches, $angle x = 99^{circ}$ and $angle v=33^{…
$37.5$ square inches
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question what is the image point of (-6, -8) after the transformation $…
$(10,3)$
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in $\triangle def, d = 2.7$ cm, $angle e = 6^{circ}$ and $angle f = 67^…
$0.4$ cm²
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question what is the image point of (0, -7) after the transformation $r…
$(0,7)$
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in $delta def, d = 2.7$ cm, $angle e = 6^{circ}$ and $angle f = 67^{cir…
$0.4$ cm²
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question what is the image point of (-5,3) after the transformation $d_…
\((-3,2)\)
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in $delta klm$, $m = 12$ cm, $angle k = 76^{circ}$ and $angle l = 20^{c…
$24$
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analyze find the perimeter of equilateral triangle klm given the vertic…
39
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draw a line representing the “rise” and a line representing the “run” o…
# Explicación: ## Paso 1: Elegir dos puntos en la línea Tomemos los puntos $(0, 4)$ y $(8, 7)$. ## Paso 2: Calcular el "rise" (ascenso) El "rise" es la diferencia en las coordenad…
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in $delta klm$, $m = 12$ cm, $angle k = 76^{circ}$ and $angle l = 20^{c…
$24$
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question what is the image point of (-6, -1) after the transformation r…
$(-5,-30)$
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geometry describe the transformation that occurred as specifically as p…
- Transformation: Reflection over the y - axis - \(B'=(4,0)\) - \(H'=(4,3)\) - \(T'=(2,5)\) - \(A - 3\) - \(B - \text{No match}\) - \(C - 4\) - \(D - 1\)
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in $delta ijk$, $j = 8.2$ inches, $angle j = 49^{circ}$ and $angle k = …
$36.5$ square - inches
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what is the image point of (-6, 1) after the transformation $r_{180}cir…
\((24,-4)\)
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in △ijk, i = 8.2 inches, ∠j = 49° and ∠k = 57°. find the area of △ijk, …
$36$ square inches
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question in △xyz, y = 3.6 cm, ∠x = 158°, and ∠y = 16°. find the area of…
$0.9$ square centimeters
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in $delta xyz$, $y = 3.6$ cm, $angle x = 158^{circ}$ and $angle y = 16^…
$0.9$ square cm
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breaking apart figures to find volume. what is the volume of the solid …
1. **For the first rectangular - prism (figure 1):** - # Explanation: - ## Step1: Recall the volume formula for a rectangular - prism The volume formula for a rectangular - prism …
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in $delta rst$, $t = 59$ cm, $angle s = 102^{circ}$ and $angle t = 27^{…
2979
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find the area of the triangle. the area of the triangle is (simplify yo…
$21x^{2}-9x$ square - inches
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find the area of the triangle the area of the triangle is (simplify you…
24 square - inches
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answer attempt 1 out of 2 the two figures congruent because are used to…
The two figures are congruent because translations, rotations, and reflections are used to map Figure 1 onto Figure 2. Point corresponding to point X: H
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analyze find the perimeter of equilateral triangle klm given the vertic…
39
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find the value of x.
\(139\)
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analyze find the perimeter of equilateral triangle klm given the vertic…
$KM = 13$, $P=39$
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find the value of x.
\(x = 48\)
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in the figure below, b is between a and c, and c is between b and d. if…
$16$
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an image of a book shown on a website is 1.5 inches wide and 3 inches t…
18 inches
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persevere the vertices of a rectangle with side lengths of 10 and 24 un…
$290.93$
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in the figure below, g is between e and h, and f is the mid - point of …
6
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draw a line representing the ise\ and a line representing the un\ of th…
# Explicación: ## Paso 1: Elegir dos puntos en la línea Tomemos los puntos $(- 4,2)$ y $(4,4)$ en la línea. ## Paso 2: Calcular el "rise" (ascenso) El "rise" es la diferencia en l…
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find the value of x.
$x = 112$
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breaking apart figures to find volume what is the volume of the solid f…
Problem 1: 12 cubic feet Problem 2: 36 cubic feet Problem 3: 36 cubic feet Problem 4: 52 cubic cm Problem 5: 86 cubic feet Problem 6: 552 cubic inches
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problem #5 - unit 1: scale drawings (medium) a map of a park has a scal…
The map with a scale of 1 inch to 500 feet is larger.
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hexagon abcdef → hexagon abcdef. how can the transformation shown be de…
nonrigid transformation, stretch
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dominic needs a new bike mirror. his old mirror was a square with a sid…
The circular bike mirror with a radius of 5 cm.
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problem #4 - scale drawings (mild) a rectangular garden is 20 feet long…
The dimensions of the scale drawing are 5 inches long and 3 inches wide.
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a group of tibetan monks create a sand mandala at an art museum. the ma…
$28.26$ $ft^{2}$
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what is the area of the pitchers circle? a = πr²
$81\pi$ square feet
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determine which translations would map figure h onto figure i. press \t…
A translation of 6 units to the left and 4 units up.
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part b c. find the area of the square that is not covered by the triang…
The area not covered by the triangle is equal to the area of the square minus the area of the triangle. So, $A=(16 - \sqrt{3})$ units² or about $14.3$ units².
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in the figure below, m∠2 = 127°. find m∠1, m∠3, and m∠4.
$m\angle1 = 53^{\circ}$ $m\angle3 = 53^{\circ}$ $m\angle4 = 127^{\circ}$
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the figure below is translated down 4 units and then rotated 180° count…
(-2, 1)
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the figure below is reflected over y - axis and then translated up 4 un…
\((9,-4)\)
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determine which translations would map figure f onto figure g. press \t…
A translation 3 units right and 7 units down.
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the coordinate grid shows an equilateral triangle that fits inside a sq…
a. \(s = 4\), so \(A = 4^2=16\) units\(^2\) b. \(b = 2\), \(h=\sqrt{3}\), so \(A=\frac{1}{2}(2)(\sqrt{3})=\sqrt{3}\) units\(^2\)
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the figure below is reflected over y - axis and then translated up 4 un…
\((8,-4)\)
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the figure below is translated right 2 units and then rotated 180° cloc…
$(-2,-5)$
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this question has two parts. first, answer part a. then, answer part b.…
a. No; the perimeter and area of a square can be found using the length of just one side. b. $CD = 5$ units $P=4(5)=20$ units $A=(5)^{2}=25$ square units
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the figure below is translated right 2 units and then rotated 180° cloc…
$(-2,-5)$
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the figure below is rotated 180° clockwise and then reflected over y - …
The coordinates of the image of point A are \((-8,5)\)
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what type of triangle is formed by joining the points d(7, 3), e(8, 1),…
C. right triangle
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press \try\ to test a translation or sequence of translations. a transl…
2 units to the left and 8 units down.
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10. for each inequality, circle two ways to write the solution set and …
For -3 > - 9 - 3x: Solution set: x > - 2, {x|x > - 2}; Graph: Open - circle at - 2, arrow points right. For 5 > 5x + 15: Solution set: x < - 2, {x|x < - 2}; Graph: Open - circle a…
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determine which translations would map figure g onto figure h. press \t…
A translation of 3 units to the left and 3 units up.
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prove: ∠5≅∠6 j || k → given → ∠7≅∠6 transitive property vertical angles…
$\angle5\cong\angle6$ is proved by using the corresponding - angles postulate for parallel lines $j$ and $k$ to get $\angle5\cong\angle7$ and the vertical - angles property to get…
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the perimeter of a rectangle is 86 feet. find the length and width if t…
Length is 10 feet and width is 33 feet.
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3.4.6 check your understanding in the figure shown, $overline{hx}parall…
$x=-\frac{1}{3}$ $y = 16$
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parallelogram defg has been rotated. which statements are correct? chec…
point \(F ightarrow\) point \(F'\) Point \(D\) of the pre - image corresponds to point \(D'\) of the image. Parallelogram \(DEFG\) maps to parallelogram \(D'E'F'G'\)
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given: ∠1 and ∠3 are supplementary prove: m||n statements reasons 1. ∠1…
1. Given 2. Definition of supplementary angles 3. $\angle2\cong\angle3$ 4. Definition of congruent angles 5. $m\angle1 + m\angle2 = 180^{\circ}$ 6. $\angle1$ and $\angle2$ are sup…
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what postulate or theorem justifies each of the following statements. 1…
1. Corresponding Angles Postulate 2. Same - Side Interior Angles Theorem 3. Alternate Interior Angles Theorem 4. Alternate Exterior Angles Theorem
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3.4.6 check your understanding in the figure shown, $overline{nd}parall…
$m\angle TLP = 142^{\circ}$ $m\angle DWS = 38^{\circ}$ $m\angle HMB = 59^{\circ}$ $m\angle GKW = 38^{\circ}$
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2.2 | parallel & perpendicular | hw #2 find the m∠1 and m∠2. 134° 1 2 m…
$m\angle1 = 134^{\circ}$ $m\angle2 = 46^{\circ}$
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2.2 | parallel & perpendicular | hw #2 find the value of x. 86° 2x° x =
43
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3.4.6 check your understanding in the figure shown, $overline{hx}parall…
$x=-2.8$ $y = 0$
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2.2 | parallel & perpendicular | hw #2 find the value of x. x =
$18$
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2.2 | parallel & perpendicular | hw #2 find the value of x. (3x + 33)° …
$15$
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find the value of x and y. x = y =
\(x = 90\) \(y = 90\)
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9. which number line represents the solution to the inequality 9 - 4x ≥…
We need to find the number - line with a closed circle at - 2 and the line extending to the left. Without seeing the specific details of the endpoints and circles on each number -…
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find the value of x and y. (4y - 16)° 68° (2x - 24)° x = y =
\(x = 46\) \(y = 21\)
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explain your reasoning. the side of the play area that is adjacent to t…
The side of the play area that is adjacent to the house does not need fencing. The remaining three sides of the play area on the grid have lengths of 4, 5, and 4 units. The perime…
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graph the image of △lmn after a rotation 90° counterclockwise around th…
Plot the new triangle $\triangle L'M'N'$ with vertices obtained by applying the $(x,y)\to(-y,x)$ rule to the vertices of $\triangle LMN$.
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use the figure below and the given piece of information to determine wh…
Parallel Lines: c and d Converse Used: Converse of the Same - Side Interior Angles Postulate
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determine which translations would map figure t onto figure u. press \t…
A translation right 4 units and down 4 units.
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11 select the correct answer from each drop - down menu. $overleftright…
The x - intercept of $\overleftrightarrow{CD}$ is $17$. (The second part about the point that lies on $\overleftrightarrow{CD}$ is incomplete in the problem statement, but if we h…
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3.4.6 check your understanding \\(\\overline{ry}\\parallel\\overline{gt…
\(m\angle MKT = 61^{\circ}\) \(m\angle YLZ = 57^{\circ}\) \(m\angle GWF = 61^{\circ}\) \(m\angle BXL = 57^{\circ}\)
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use the figure below and the given piece of information to determine wh…
Parallel Lines: c and d Converse Used: Converse of the Alternate - Interior Angles Theorem