Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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identify the slope and -intercept of each line. enter one value from th…
Slope: $0$ y-Intercept: $3$
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3. to get to the top of the mountain, heather drove 10 east and 4 miles…
10.8 miles
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2. what is the distance between points h and g? (image shows a 3d coord…
5
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1. what are the coordinates of point j? l (0,3,-3) p (0,0,-3) q (0,0,0)
$(-4, 3, -3)$
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7. segment fg: f(1,1), g(6,7); reflection: x - axis; rotation: 180° abo…
1. Final endpoints of segment FG after transformations: $F''(-1,1)$, $G''(-6,7)$ 2. Final endpoints of segment RS after transformations: $R''(-1,3)$, $S''(-5,-1)$
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graph. x < -5 to draw a ray, plot an endpoint and select an arrow. sele…
To graph \( x < -5 \): 1. Plot an open circle (since \( x \) is strictly less than -5, not equal to -5) at \( x = -5 \) on the number line. 2. Draw a ray starting from the open ci…
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graph. x ≥ 8 to draw a ray, plot an endpoint and select an arrow. selec…
To graph \( x \geq 8 \): - Plot a **closed dot** (filled circle) at \( x = 8 \) on the number line. - Draw a **ray** starting from the closed dot at 8 and extending to the **right…
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the movement of the progress bar may be uneven because questions can be…
They are similar triangles.
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the movement of the progress bar may be uneven because questions can be…
B. Scalene acute
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what is the ratio of the height of this solid cylindrical rod to its di…
$\boldsymbol{x^4y^3z}$ to 1
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the total surface area of this square pyramid is 144 square feet x ft. …
9 feet
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una transversal corta dos rectas paralelas tal y como se muestra a cont…
\( m\angle 5 = \boxed{62}^\circ \) \( m\angle 8 = \boxed{118}^\circ \)
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¿cuál es el área del paralelogramo? (-5, -2) (3, -1) (3, -7) (-5, -8) u…
48
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problem 5 what is the exact length of the unlabeled side of the triangl…
\(\sqrt{89}\)
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select all the right triangles.
The right triangles are A, C, D.
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¿cuál es el área del triángulo? ( - 2, 6) (4, 3) ( - 2, - 5) □ unidades…
33
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¿cuál es el área del paralelogramo? unidades cuadradas
35
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write the coordinates of the vertices after a reflection over the ( y )…
\( Q'(-6, 0) \) \( R'(-9, 0) \) \( S'(-9, 2) \) \( T'(-6, 2) \)
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complete the text with the correct word. when youre given the lengths o…
any one
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emma measured her room and made a scale drawing. she used the scale 5 i…
20
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$\\overline{fg}$ is reflected across the $y$-axis to produce $\\overlin…
\((-x, y)\)
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this image has rotational symmetry. what is the smallest number of degr…
\(90^{\circ}\)
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7. chimneys. a 6-ft observer casts a 4-ft shadow at the same time a chi…
7. 357 feet 8. 190 meters 9. 8 feet 11 inches 10. 6 feet
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is the dotted line a line of symmetry? yes no
yes
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• line wz is parallel to line zx. • line ir intersects line wz at point…
\( 63 \)
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which set of side lengths can form a triangle? 4 meters, 11 meters, 19 …
7 meters, 17 meters, 22 meters
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calculating angle measures formed by transversals the measure of \\(\\a…
can be calculated
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translate the figure 2 units right and 1 unit down. plot all of the poi…
To solve the translation of the figure, we first identify the coordinates of the original vertices. Let's assume the original points (from the graph) are: - Point 1: \((-5, -1)\) …
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what is the image of $(-7, -9)$ after a reflection over the $x$-axis? a…
\((-7,9)\)
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question what is the image of ((-7, -2)) after a reflection over the (y…
\((7,-2)\)
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question what is the image of $(-9, -4)$ after a reflection over the $y…
\((9,-4)\)
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question what is the image of (9, -7) after a reflection over the y-axi…
\((-9,-7)\)
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5. bridges the triangles below are similar. how long is the rope bridge…
33 ft
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question what is the image point of $(-8, 7)$ after a translation right…
\((-3,12)\)
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what is the image point of (3,7) after a translation right 5 units and …
\((8,8)\)
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what is the image point of (-5, 3) after a translation left 3 units and…
$(-8,2)$
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4. outdoor sports in the figure, $\\triangle abc \\sim \\triangle dbe$.…
60 yards --- ### Problem 6:
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which transformation would take figure a to figure b?
A reflection over the y-axis (or a reflection across the line $x=0$)
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which pair of angles is also congruent? (\boldsymbol{angle tqp}) and (\…
\(\boldsymbol{\angle TQP}\) and \(\boldsymbol{\angle TSR}\) (the first option, e.g., A. \(\angle TQP\) and \(\angle TSR\) if options are labeled A, B, C)
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write the rule for the translation below. (use arrow notation)
$(x,y) \to (x-3, y-2)$
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find the distance between the points (-10, -18) and (-10, 6). units
24
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move △abc so it is a translation of △abc right 6 units and up 5 units. …
\(\frac{5}{6},\frac{5}{6},\frac{5}{6}\)
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what is the area of the triangle? 6 in. 5 in. square inches
15
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write equations for the horizontal and vertical lines passing through t…
horizontal line: \(y = - 3\) vertical line: \(x=-8\)
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four quadrilaterals are shown on the coordinate grid. if quadrilateral …
Quadrilateral 2 is the image after a reflection over the $y$-axis and a translation left 2 units and down 14 units.
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write equations for the vertical and horizontal lines passing through t…
vertical line: \( x = 7 \) horizontal line: \( y = 6 \)
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test yourself! practice tool which sequence of transformations would no…
Rotate $180^{\circ}$ counterclockwise around center $C$, then rotate $360^{\circ}$ counterclockwise around $C$ again.
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which of the following graphs shows the complete solution set for the e…
A. (The two number lines with filled dots at \(x = -2\) and \(x = -4\))
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draw the translated figure in the grid below by choosing the vertices o…
The translated figure is obtained by translating each vertex of the original rhombus along the vector \( \vec{v} \) (left - direction) by the same number of grid units and connect…
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polygons auhs, auhs, and auhs are shown on the coordinate grid. which s…
A translation of $(x,y)\to(x-4,y-2)$ then a rotation of $90^\circ$ counterclockwise about the origin.
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the diagram shows \\(\\overrightarrow{ab}\\), \\(\\overrightarrow{cd}\\…
\(67\)
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the perimeter of an equilateral triangle is 624 centimeters. the height…
104
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fill in the blanks below. (a) find the slope of the line passing throug…
(a) slope: \(0\) (b) slope: \(0\)
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find the component form of the vector that translates a (-2, 0) to a (3…
\(\langle 5, - 4 angle\)
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a rectangle has a width represented by the expression (2y) and a length…
$24y^2 - 10y$
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the point ( a(4, 1) ) is translated along the vector ( langle -5, 3 ang…
The coordinates of \(A'\) are \((-1,4)\)
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the length of a rectangle is six times its width. if the area of the re…
\( 112 \)
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finding the perimeter or area of a rectangle given one of these values …
\( 63 \) square inches
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triangle efg is similar to triangle hij. find the measure of side jh. r…
\(101.9\)
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the measure of angle r is \\(\frac{2pi}{3}\\) radians. the measure of a…
C) 195
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what is the central idea in the section \the early days\? even though c…
Even though computer experts could communicate with each other through ARPANET, they could not interact with their broader social circles.
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quadrilateral defg is similar to quadrilateral hijk. find the measure o…
\( 16.8 \)
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a circle in the xy - plane has a diameter with endpoints (2, 4) and (2,…
$5$
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quadrilateral fghi is similar to quadrilateral jklm. find the measure o…
50.4
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question 1-2 the two - dimensional figure will be rotated 360° around t…
Cone
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circle a has a radius of 3n and circle b has a radius of 129n, where n …
D) 1,849
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triangle klm is similar to triangle nop. find the measure of side pn. r…
$\approx10.7$
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part 3: film & reality – decision making at nasa choose one prompt: opt…
C. A collaborative problem - solving machine that improves through failure
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¿cuál es la medida en grados de un ángulo que mide \\(\\frac{3\\pi}{4}\…
C. $135^\circ$
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part a in right triangle ( abc ), altitude ( cd ) is drawn to its hypot…
A. \( BAC \) (since \( \triangle BAC\) is the same as \( \triangle ABC\), so they are similar) B. \( BCD \) (by AA similarity: \( \angle CDB = \angle ACB=90^{\circ}\), \( \angle B…
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33.) solve the given inequalities. graph the solutions on the number li…
The solution to \(2x - 6 < 12\) is \(x < 9\). To graph this, we draw an open circle at 9 on the number line and shade the region to the left of 9. ### Part b)
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8. two office buildings are 51 meters apart. the height of the taller b…
1. Height of shorter building: $\boldsymbol{193}$ meters 2. Height of water column: $\boldsymbol{560}$ feet 3. Roof-to-windowsill distance: $\boldsymbol{28}$ feet
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a rectangle has an area of 40 square units. the length is 6 units great…
10 by 4
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observa el $\\triangle lmn$. ¿cuál es el valor de $\\sen l$? \\bigcirc …
B. $\frac{1}{2}$
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triangle cde is similar to triangle fgh. find the measure of side fg. r…
\(3.9\)
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29.) a city park has an area of \\( \\frac{2}{3} \\) square miles. the …
The equation is \( \frac{3}{5}l=\frac{2}{3} \) and the solution is \( l = \frac{10}{9}\) miles (the option with \( \frac{3}{5}l=\frac{2}{3} \); \( l=\frac{10}{9}\) miles) ### Prob…
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29.) a city park has an area of \\( \\frac{2}{3} \\) square miles. the …
The correct option is the one with equation \( \frac{3}{5}\ell=\frac{2}{3} \) and solution \( \frac{10}{9} \) miles (the fourth option, but since the options are: - \( \frac{2}{3}…
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en un círculo cuyo diámetro mide 10 centímetros, ¿cuál es la longitud d…
D. 5.23 cm
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¿cuál es la longitud de la diagonal de un rectángulo cuya base mide 12 …
A. 15 cm
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given ( m parallel n ), find the value of ( x ).
$26$
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16. in $\\triangle jkl$, if $m\\angle k$ is nine more than $m\\angle j$…
\(m\angle J = 48^\circ\) \(m\angle K = 57^\circ\) \(m\angle L = 75^\circ\)
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9) this hanger is in balance. there are two labeled weights of 4 grams …
$\frac{8}{3}$ grams (Option: $\boldsymbol{\frac{8}{3}}$)
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15. in $\\triangle abc$. if $m\\angle a$ is thirteen less than $m\\angl…
\(m\angle A = 21^\circ\) \(m\angle B = 125^\circ\) \(m\angle C = 34^\circ\)
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the diagonals of rectangle qrst intersect at p. given that ( mangle pts…
\( 5 \)
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observa el círculo. ¿cuál es la longitud en centímetros del arco subten…
A. $\frac{2\pi}{3}$
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the diagonals of rectangle qrst intersect at p. given that ( mangle pts…
\( 10 \)
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the diagonals of rectangle qrst intersect at p. given that ( mangle pts…
\( 5 \)
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a group of students is given a 10 by 10 grid to cut into individual uni…
$x^2 + (x - 2)^2 = 100$
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Question was provided via image upload.
\(x = 19\) \(m\angle R = 43^\circ\) \(m\angle S = 20^\circ\) \(m\angle T = 117^\circ\)
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13. in $\\triangle mnp$, if $m\\angle m = (4x - 3)°$, $m\\angle n = (9x…
\(x = 10\) \(m\angle M = 37^\circ\) \(m\angle N = 84^\circ\) \(m\angle P = 59^\circ\)
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circumference of a circle find the circumference. round your answer to …
109.28 cm
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12. find the values of x and y in the diagram below. solve for x first
\( x = 15 \), \( y = 21 \)
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11. (14x - 13)° (4x + 13)° (6x + 2)°
\(x = 7\)
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name: the formula for the following 3 - dimensional object cylinder = c…
Cylinder = $\pi r^2 h$ Cone = $\frac{1}{3} \pi r^2 h$ Sphere = $\frac{4}{3} \pi r^3$ What is the diameter? $d = 2r$ What is the radius? $r = \frac{d}{2}$ 347.851 to nearest tenths…
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trapezoid stuv is a dilation of the trapezoid stuv. what is the scale f…
$\frac{5}{3}$
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the rectangle klmn is a dilation of the rectangle klmn. what is the sca…
$\frac{1}{2}$
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the square qrst is a dilation of the square qrst. what is the scale fac…
$4$
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triangle lmn is a dilation of the triangle lmn. what is the scale facto…
$4$
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the points ( j(-8, 2) ), ( k(-5, 0) ), ( l(-1, 4) ), and ( m(-4, 5) ) f…
# Explanation: ## Step1: Calculate slope of $\overline{JK}$ The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $J(-8, 2)$ and $K(-5, 0)$: $m_{JK} = \frac{0 - 2}{-5…
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9. if ( moverarc{bed} = (15x - 47)^circ ) and ( moverarc{bd} = (9x - 1)…
$104^\circ$