Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the midpoint of $overline{gh}$ is $m(0, 13)$. one endpoint is $h(12, 8)…
$G=(-12,18)$
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suppose line m is the line with the equation x = - 5, line n is the lin…
(-5,3)
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what is the length of the missing leg? if necessary, round to the neare…
16
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find the distance between the points (9, 6) and (6, 10). write your ans…
5
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the vertices of △abc are a(-5,5), b(-2,5), and c(-4,3). if △abc is refl…
$(-4,-5)$
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find the distance between the points (7, 4) and (6, 5). write your answ…
$\sqrt{2}$
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k is the midpoint of $overline{jl}$. if $jk = x + 2$ and $jl = 3x - 4$,…
20
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a line segment has the endpoints q(-29, -41) and r(-34, -83). find the …
$M=(-31.5,-62)$
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does the transformation appear to be a rigid motion? explain a. the tra…
A. The transformation is a rigid motion because the image appears to have the same orientation as the preimage and all corresponding angles and sides appear to be the same size.
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s is the midpoint of $overline{rt}$. if $rs = x + 6$ and $st = 7x$, wha…
7
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value: 2 identify the correct trigonometry formula to use to solve for …
C. $\cos(55^{\circ})=\frac{11}{x}$
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can a figure be reflected across three lines of reflection so the image…
D. Yes. It is possible to map a figure onto itself with 3 reflections if the figure is a regular figure and has symmetry, such as a square.
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what is the length of the missing leg? if necessary, round to the neare…
$4.6$
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value: 2 identify the correct trigonometry formula to use to solve for …
C. $\cos(62^{\circ})=\frac{18}{x}$
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what is the length of the missing leg? if necessary, round to the neare…
$3.9$
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value: 2 solve for x. round to the nearest hundredth if necessary. 20 5…
C. 11.47
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solve for x. round to the nearest hundredth if necessary. x 19 29° a. 1…
c. 39.19
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what is the length of the missing leg? if necessary, round to the neare…
48
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what is the length of the missing leg? if necessary, round to the neare…
42
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finding the area of a trapezoid in the coordinate plane. the height, ce…
$AD = 20$ units $BC = 5$ units The area of the trapezoid is $62.5$ square units
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what is the length of the missing leg? if necessary, round to the neare…
60
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what is the length of the missing leg? if necessary, round to the neare…
36
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the equation for line (ell) is. dana reflects point a(2,5) across line …
$y=x - 1$
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question find the measure of the missing angles. answer d = submit answ…
\(d = 94\), \(e = 86\), \(f = 86\)
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value: 2 what is the height of the building shown below? round to the n…
d. 77.7 feet
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under a transformation, a pre - image and its image are both squares wi…
Each angle in the pre - image has a measure of 90° and each angle in the image has a measure of 90°. Each side in the pre - image has length 3 and each side in the image has lengt…
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match the trigonometry formula to its correct ratio. reduce the ratio i…
$\sin A=\frac{4}{5}$, $\cos A=\frac{3}{5}$
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1. in a rice recipe, a ratio that relates the number of cups of water t…
1. 8 cups 2. a. Draw 5 sets of a group of 4 rectangles for the first part and 3 rectangles for the second part to show the equivalence between \(4:3\) and \(20:15\). b. Yuna's mis…
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find sin(c). round to the nearest hundredth if necessary.
b. 0.38
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2.2 score: 21/23 answered: 22/23 question 23 two people are starting at…
$\frac{51}{2}$
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value: 3 find cos(a). reduce the ratio if necessary. 30 50 40 a. 3/4 b.…
B. 3/5
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question 22 find the equation in standard form of the circle graphed be…
$(x - 1)^2+(y + 1)^2=4$
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question 21 find the equation in standard form of the circle graphed be…
$x^{2}+y^{2}=9$
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8. the vertices of a figure are m(-2,1), n(0,3), and p(2,2). part a dra…
The reflected points are $M'(-2,-1)$, $N'(0,-3)$ and $P'(2,-2)$. Plot the original and reflected points as described above.
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11. find the perimeter and area of the following rectangle. (2a² - 4a +…
Perimeter: $4a^{2}-4a + 22$ Area: $4a^{3}+4a^{2}-14a + 30$
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find the measure of angles 1 - 7 given that lines m and n are parallel …
\(52^{\circ}\)
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in the image below, 10 is the long leg of the 30 - 60 - 90 triangle. tr…
True
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in the image below, $5sqrt{2}$ is a leg of the 45 - 45 - 90 triangle. t…
True
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value: 3 solve for the short leg of the 30 - 60 - 90 triangle. 4 60° b …
A. b = 2
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select the correct answer from each drop - down menu. determine the len…
The length of \( \overline{AB} \) is 2.83 units. The length of \( \overline{CD} \) is 2.83 units. The length of \( \overline{BC} \) is 8.49 units. The length of \( \overline{DA} \…
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solve for the long leg and for the hypotenuse of the 30 - 60 - 90 trian…
B. $a = 20$ and $b = 10\sqrt{3}$
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2.2 score: 16/23 answered: 17/23 question 18 write the standard form of…
$(x + 3)^2+(y - 2)^2=17$
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solve for the other leg and for the hypotenuse of the 45 - 45 - 90 tria…
C. \(u = 7\sqrt{2}\) and \(v = 7\)
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a parallelogram has coordinates of (5, 17), (10, 20), (18, 9), and (13,…
The right - triangle with legs 3 and 8 (since we can also consider other pairs of adjacent vertices and re - calculate the differences). The last right - triangle (with legs 3 and…
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solve for the legs of the 45 - 45 - 90 triangle. 45° 5√2 y x a. x = 5 a…
A. x=5 and y=5
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the valley voices choir is practicing for a show. to feel prepared, the…
The compound - inequality is \(4 < x<7\). To graph it on a number line, draw an open circle at 4 and an open circle at 7, and shade the region between them.
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2.2 score: 15/23 answered: 16/23 question 17 write the standard form of…
$x^{2}+(y - 1)^{2}=10$
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finding dimensions and area of a rectangle a rectangular table is posit…
Square root of $40$ feet $4\sqrt{85}$ square feet
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answer the questions below. (a) the perimeter of a rectangular parking …
(a) Width of the parking - lot: 66 m (b) Length of the pool: 92 m
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write the standard form of the equation of the circle having the given …
$(x + 2)^2+y^2=29$
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in this activity you will: apply the pythagorean theorem to find missin…
C. 8, 15 and 17
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1. in a rice recipe, a ratio that relates the number of cups of water t…
1a. Draw two rectangles for water and one for rice. 1b. 8 cups 2a. Draw 4 groups of 5 rectangles for the first part and 3 groups of 5 rectangles for the second part to show equiva…
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calculating areas of multiple polygons each unit on the coordinate grid…
22
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the picture frame below is a rectangle with dimensions 10 inches by 8 i…
B. 12.8 inches
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which of the following is the value of |ac|² in the diagram above, taki…
There seems to be an error in the provided options as the correct value of \(|AC|^{2}\) (rounded to 3 significant figures) is \(169\) and none of the options match. If we assume t…
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find the measure of angles 1 - 7 given that lines m and n are parallel …
$43$
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22 score: 14/23 answered: 15/23 question 16 write the standard form of …
$(x - 1)^2+(y - 1)^2=1$
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using the box method to calculate the area of a triangle find the area …
140
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value: 2 find the length of the missing side using the pythagorean theo…
B. 9.6
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the hypotenuse of a right triangle is 20 units long. one leg of the tri…
C. 16 units
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2.2 score: 13/23 answered: 14/23 question 15 write the standard form of…
$x^{2}+y^{2}=8$
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question 1 of 5 select the correct answer. what is the best approximati…
22 units
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setting up the box method which figure best demonstrates the setup for …
The figure where the triangle is completely enclosed in a rectangle with its vertices on the rectangle's sides (assuming one of the given figures meets this criteria). Without spe…
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write the standard form of the equation of the circle having the given …
$(x-\frac{1}{2})^2+y^2 = 4$
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9.9 cm 13 cm a. 16.3 b. 11.7 c. 9 d. 8.4 #1/9 next >
d. 8.4
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question 13 write the standard form of the equation of the circle havin…
$(x + 1)^2+(y + 1)^2=36$
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calculating the area of a triangle find the area of the triangle def ar…
64
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in the diagram, $overline{kl}congoverline{nr}$ and $overline{jl}congove…
$\angle L \cong \angle R$
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write the standard form of the equation of the circle having the given …
$(x - 2)^2+y^2 = 4$
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bill is filling up a tank with water for some fish in a pet shop. he ne…
$x\geq2$ For part (b), to graph $x\geq2$ on a number line: - Draw a number line. - Mark a closed circle at 2 (because $x$ can equal 2, indicated by $\geq$) and draw an arrow to th…
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example 2 if m∠1 = 65°, find each measure. give your reasoning. a. m∠2 …
a. $m\angle2 = 115^{\circ}$, Reason: Linear - pair with $\angle1$ b. $m\angle3 = 65^{\circ}$, Reason: Vertical - angle with $\angle1$ c. $m\angle4 = 115^{\circ}$, Reason: Vertical…
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two rigid transformations are used to map △hjk to △lmn. the first is a …
a rotation about point H
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write the standard form of the equation of the circle having the given …
\(x^{2}+y^{2}=9\)
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practice finding areas of triangles in the coordinate plane. which stat…
Area of ABC is equal to the area of DEF
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select the quotation from the story that most strongly suggests that th…
Allie was surprised by the structure and discipline involved in drawing a portrait.
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what type of solution exists if two lines intersect at exactly one poin…
b. One solution
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which rigid transformation would map △aqr to △akp? a reflection across …
B. a rotation about point A
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a circular walkway is to be built around a monument, with the monument …
a. \(x^{2}+y^{2}=900\) b. \(x^{2}+y^{2}=1369\)
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how can a translation and a rotation be used to map △hjk to △lmn? trans…
D. Translate K to M and rotate about K until $\overline{HK}$ lies on the line containing $\overline{LM}$.
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part b. the vertices are s(0, - 3), t(-2, - 5), u(3, - 5), and v(2, - 3…
The original points are $S(0,-3),T(-2,-5),U(3,-5),V(2,-3)$ and their reflections over the line $x = 1$ are $S'(2,-3),T'(4,-5),U'(-1,-5),V'(0,-3)$. To draw, first plot the original…
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2.6.ps - 10 find the slope of the line. the slope of the line is - 2. (…
2
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triangle ghj is rotated 90° about point x, resulting in triangle str. w…
TS ≅ HG
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three parallelograms are hinged at each vertex to create an arm that ca…
50
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quadrilateral abcd is rotated 145° about point t. the result is quadril…
ABCD ≅ A'B'C'D'
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find the slope of the line. the slope of the line is (type an integer o…
$-2$
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triangle abc is congruent to triangle xyz. in △abc, ab = 12 cm and ac =…
36 cm
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the slope is 6. (simplify your answer.) which graph represents this rel…
C.
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quadrilaterals wxyz and badc are congruent. in addition, wx≅dc and xy≅b…
20 cm
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find the lateral surface area and surface area of a cone with a base di…
(a) $55\pi$ $m^{2}$ (b) $80\pi$ $m^{2}$
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the model of a roof is in the shape of a square pyramid, as shown. if t…
$3.9$
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three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm…
10 cm
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ab1bc for a(-3,2) and c(2,7). which of the following could be the coord…
A. \((-2,2)\), B. \((-3,7)\), C. \((-4,5)\), D. \((1,3)\), E. \((-1,-1)\), F. \((8,0)\)
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for the circle having the given equation, find each coordinate of the c…
Center: $(1,3)$ Radius: $\sqrt{12}=2\sqrt{3}\approx3.464$
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the slope of the line is (type an integer or a simplified fraction.)
\(-1\)
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triangle xyz was translated up 2 and right 3 units, creating triangle c…
YZ ≅ AB
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trash cans a cylindrical trash can is 30 inches high and has a base rad…
$1627$
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triangle def is reflected over the y - axis, and then translated down 4…
ΔDEF ≅ ΔRSU
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nombra la figura a continuación de dos maneras diferentes. respuesta in…
# Explicación: ## Paso1: Identificar la figura La figura es un rayo. Un rayo se representa con un punto de origen y una flecha que indica la dirección infinita. ## Paso2: Nombra e…
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find the center and radius of the circle having the given equation. $x^…
Radius: $5$ Center: $(1,2)$
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triangle cde is translated down and to the right, forming triangle cde.…
△CDE ≅ △C'D'E'