Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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4 a tarp covers the grass on part of a baseball field during batting pr…
660 square feet
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nombre: _ español i - para comenzar fecha: _ l05 - ¿cómo se escribe? ta…
backpack: mochila pencil: lápiz window: ventana whiteboard: pizarra blanca eyes: ojos door: puerta hands: manos notebook: cuaderno chair: silla pen: bolígrafo
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prism h is filled with unit cubes that have side length 1 foot. there a…
Let the number of layers be $l$, the number of cubes in each layer be $n$. The volume of the prism is $l\times n$ cubic feet.
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3 what is the area of the polygon? show your work. solution
8 square units
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30. quadrilateral efgh is dilated to create quadrilateral efgh using th…
C. Quadrilateral EFGH is dilated by a scale factor of \(\frac{1}{2}\) to create quadrilateral E'F'G'H'
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the angle $\theta$ is an acute angle and $sin\theta=\frac{5}{6}$. use t…
$\frac{\sqrt{11}}{6}$
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30 quadrilateral efgh is dilated to create quadrilateral efgh using the…
B. Quadrilateral $EFGH$ is dilated by a scale factor of $\frac{1}{2}$ to create quadrilateral $E'F'G'H'$
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29. the figure below shows quadrilateral efgh on a coordinate plane. if…
A. \((2,3)\)
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28 the figure below shows quadrilateral efgh on a coordinate plane. if …
D. (48, 40)
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27 the figure below shows quadrilateral efgh on a coordinate plane. if …
A. $(1,\frac{9}{2})$
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find the value of the variable. (just type your numerical answer. no de…
$a = 60$ $2a = 120$
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24. represent and connect write two expressions that represent the volu…
With exponents: $(\frac{3}{5})^3$; Without exponents: $\frac{3}{5}\times\frac{3}{5}\times\frac{3}{5}$
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27 the figure below shows quadrilateral efgh on a coordinate plane. if …
B. $(7,1)$
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26 quadrilateral efgh is dilated using the origin as the center of dila…
A. $(x,y)\to(4x,4y)$
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25 trapezoid mnop is dilated to create trapezoid mnop using the origin …
A. Trapezoid MNOP is dilated by a scale factor of \(\frac{1}{2}\) to create trapezoid M'N'O'P'
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the figure below shows trapezoid mnop on a coordinate plane. if the tra…
D. (20, 40)
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prism g is filled with unit cubes that have side length 1 centimeter. t…
There are 2 layers with 6 cubes in each layer. 6 cubes + 6 cubes = 12 cubes. The volume is 12 cubic centimeters.
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23 the figure below shows trapezoid mnop on a coordinate plane. if the …
A. \((\frac{3}{1},3)\)
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22 the figure below shows trapezoid mnop on a coordinate plane. if the …
D. (4, 4)
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find the value of the variable. (just type your numerical answer. no de…
$k = 45$ $2k = 90$
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21 trapezoid mnop is dilated using the origin as the center of dilation…
C. $(x,y)\to(3x,3y)$
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20. rectangle abcd is dilated to create square abcd using the origin as…
A. Rectangle \(ABCD\) is dilated by a scale factor of \(\frac{1}{5}\) to create rectangle \(A'B'C'D'\)
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name: identify the type of move (translation, rotation, reflection). th…
7. Translation 8. Reflection 9. Rotation 10. Translation 11. Rotation 12. Reflection
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the figure below shows rectangle abcd on a coordinate plane. if the rec…
A. (4, 3)
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ordinates of the vertices after a translation 14 units left and 7 units…
The new coordinates are $J(-8,-10)$, $K(-8,0)$, $L(-6,0)$, $M(-6,-10)$
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write the coordinates of the vertices after a translation 6 units right…
$Q'(-2,-6)$
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17 the figure below shows rectangle abcd on a coordinate plane. if the …
A. (1, 2)
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13. generalize in the diagram shown, if x + y = 180, label the remainin…
The angle vertical to the given $x^{\circ}$ is $x^{\circ}$. The angle adjacent to the given $x^{\circ}$ (forming a linear - pair) is $y^{\circ}$. The corresponding and alternate a…
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16 rectangle abcd is dilated using the origin as the center of dilation…
C. \((x,y)\to(3x,3y)\)
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15 square rstu is dilated to create square rstu using the origin as the…
D. Square RSTU is dilated by a scale factor of 2 to create square R'S'T'U'
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score: 0 of 1 point find the midpoint of the line segment from (1,5) to…
B. $(\frac{3}{2},\frac{7}{2})$
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find the coordinates of the vertices after a translation 3 units right …
The new coordinates of \(E\) are \((-3,3)\), of \(F\) are \((-3,8)\), of \(G\) are \((5,8)\), and of \(H\) are \((5,3)\)
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find the distance between the points (-98,53) and (-70,8) distance = en…
$53$
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applying it - use what you learned to solve these problems. 1. what is …
1. For the trapezoid problem: Badru is not correct. The area of the trapezoid with $b_1 = 12$ in, $b_2 = 14$ in and $h = 6$ in is $A=\frac{(12 + 14)\times6}{2}=78$ square inches, …
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14. the figure below shows square rstu on a coordinate plane. if the sq…
B. $(\frac{3}{2},6)$
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scavenger hunt! directions: use your answers to determine which problem…
$x = 17.6$
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score: 0 of 1 point use the graph to identify the x and y -intercepts o…
x - intercept: - 12; y - intercept: - 16
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13 the figure below shows square rstu on a coordinate plane. if the squ…
A. (18, 18)
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apply it > use what you learned to solve these problems. 6 what is the …
10 square units
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12 the figure below shows square rstu on a coordinate plane. if the squ…
A. (4, 4)
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square abcd is dilated using the origin as the center of dilation to cr…
D. $(x,y)\to(\frac{1}{2}x,\frac{1}{2}y)$
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linear pair two adjacent angles that form a straight line. these angles…
Linear Pair: Two adjacent angles that form a straight line. These angles are also supplementary. Supplementary Angles: Two angles whose measures have a sum of 180 degrees. Complem…
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10. triangle stu is dilated to create triangle stu using the origin as …
A. Triangle STU is dilated by a scale factor of $\frac{1}{2}$ to create triangle S'T'U'
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10. find the length of the hypotenuse. round your answer to the nearest…
10. 13 11. $4\sqrt{3}$ 12. 113
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10. triangle stu is dilated to create triangle stu using the origin as …
A. Triangle STU is dilated by a scale factor of $\frac{1}{2}$ to create triangle S'T'U'
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9. trapezoid abcd is shown on the coordinate plane. a) find the length …
a) Without coordinates, cannot find radical - form length. b) Without coordinates, cannot find rounded length. c) Without coordinates of all vertices, cannot find perimeter.
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8. find the distance between a(-2,2) and b(-3,7). write your answer as …
Radical: $\sqrt{26}$; Decimal: $5.1$
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the figure below shows triangle pqr on a coordinate plane. if the trian…
C. (24, 12)
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for which triangle does the equation 4² + 4² = c² apply?
The second triangle (the right - triangle with legs of length 4)
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8. the figure below shows triangle pqr on a coordinate plane. if the tr…
A. (14, 16)
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in the figure below, m∠abd = 71° and m∠2 = 46°. find m∠1.
$25$
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7 the figure below shows triangle pqr on a coordinate plane. if the tri…
C. (6, 9)
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6. triangle xyz is dilated using the origin as the center of dilation t…
C. \((x,y)\to(3x,3y)\)
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1 look at the first model it. why might you choose to divide the logo i…
1. Divide into basic shapes for easy area - calculation. 2. \(6\times5\) is rectangle area, \(2\times(\frac{1}{2}\times3\times3)\) is combined triangle area for subtraction. 3. Us…
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5 triangle efg is dilated to create triangle efg using the origin as th…
B. Triangle EFG is dilated by a scale factor of 2 to create triangle E'F'G'
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the figure below shows triangle mno on a coordinate plane. if the trian…
C. $(30,10)$
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to move forward with the renovations, your aunt needs to approve your c…
If the surface area of the rectangles to be covered is $5000$ $cm^{2}$, the total cost of the tiles is $20$ dollars. Without knowing the actual surface area of the rectangles to b…
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3 the figure below shows triangle mno on a coordinate plane. if the tri…
C. (8, 8)
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18. ∠f and ∠g are complementary. the measure of ∠f is four times the me…
The measure of $\angle F$ is $72^{\circ}$ and the measure of $\angle G$ is $18^{\circ}$.
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2 the figure below shows triangle mno on a coordinate plane. if the tri…
D. (4, 16)
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triangle abc is dilated using the origin as the center of dilation to c…
A. $(x,y)\to(4x,4y)$
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16. determine the volume of a cube with side length 13 ft. a. 169 ft³ b…
# Explicación: ## Paso 1: Recordar la fórmula del volumen del cubo El volumen $V$ de un cubo se calcula con la fórmula $V = s^3$, donde $s$ es la longitud del lado. ## Paso 2: Sus…
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a 35 - ft ladder leans against a building so that the angle between the…
$31.9742$
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△qrs is a translation of △qrs. write the translation rule. (x, y)→(x + …
\((x,y)\to(x + 12,y-5)\)
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what is the approximate distance between points d and e? round your ans…
D. 8.25 units
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18. ∠f and ∠g are complementary. the measure of ∠f is four times the me…
The measure of $\angle G$ is $18^{\circ}$ and the measure of $\angle F$ is $72^{\circ}$. ### 19.
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△bcd is a translation of △bcd. write the translation rule. (x, y)→(x - …
$(x,y)\to(x - 8,y - 9)$
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a bicycle with 24 - inch diameter wheels is traveling at 11 mi/h. find …
The number of revolutions per minute is approximately 153.938. The angular speed is approximately 965.333 radians per minute.
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15. which statement below must be true about circle q? a. the distance …
D. The distance from \(R\) to \(T\) is twice the distance from \(Q\) to \(J\).
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5. which of the transformations above preserved the size and shape of t…
The transformation that did not preserve the size and shape of the original image is the dilation. To calculate the scale factor \(k\) of the dilation, measure a length on the enl…
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8. which cube has the bigger volume? cube a cube b cube c cube d 9. whi…
8. Cube B 9. Cube B 10. A Quarter
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13. what is the area of a triangle with a height of 32 meters and a bas…
c. $320$ $m^{2}$
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7. what type of transformation is below? 8. what are the coordinates of…
Reflection
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12.find the perimeter of rhombus abcd. a b d 16.2 m c a. 32.4 b. 262.44…
C. 64.8
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5. what are some acceptable ways to name an angle? 6. describe all of t…
There are 3 rays: $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{BD}$ #### b.
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what is the approximate distance between points p and q? round your ans…
D. 5.1 units
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in the figure below, m∠4 = 126°. find m∠1, m∠2, and m∠3.
$m\angle1 = 126^{\circ}$ $m\angle2 = 54^{\circ}$ $m\angle3 = 54^{\circ}$
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8. describe the diagram below using correct geometric names.
Line $\overleftrightarrow{PR}$ and line $\overleftrightarrow{TS}$ intersect at point Q.
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in the figure below, m∠1 = 104°. find m∠2, m∠3, and m∠4.
$m\angle2 = 76^{\circ}$ $m\angle3 = 104^{\circ}$ $m\angle4 = 76^{\circ}$
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3. draw the net of the following 3 - d objects and show what sides are …
For the triangular prism (a): The two triangular bases are equal. Some of the rectangular faces may be equal depending on the base triangle's side - lengths. For the rectangular p…
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drag each set of coordinates to the correct location on the table. calc…
$\sqrt{10}$ units: $(3,4)$ and $(2,1)$, $(-4,-2)$ and $(-3,1)$ $\sqrt{29}$ units: $(3,7)$ and $(5,2)$, $(5,-2)$ and $(3,3)$, $(4,-1)$ and $(-1,1)$
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solve the inequality. graph the solution. |x + 15| > 7
The solution is \(x < - 22\) or \(x>-8\). To graph, draw an open - circle at \(x=-22\) and shade to the left, and draw an open - circle at \(x = - 8\) and shade to the right on th…
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in the figure below, (mangle1 = 6x^{circ}) and (mangle2=(x + 6)^{circ})…
$m\angle1 = 72^{\circ}$ $m\angle2 = 18^{\circ}$
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9. give the radian measure of $\theta$ if: a. $r = 5$ and $s = 6$ b. $r…
a. $1.2$ radians b. $0.75$ radians
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2. label the following shapes as prism, pyramid, cone, cylinder, or sph…
a. Cylinder b. Pyramid c. Prism d. Sphere e. Cone
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select the correct answer. what is the length of vw? a. 16 units b. √13…
D. \(\sqrt{20}\) units
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09/01 - 09/05 - homework unit 1 lesson 1 additional practice problems 1…
# Explicación: ## Paso 1: Analizar movimiento entre marco 1 y 2 (primer problema) La figura se gira en sentido anti - reloj y se traslada hacia arriba. ## Paso 2: Analizar movimie…
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find the volume of the cylinder. use the formula: v = πr²×h use 3.14 fo…
$769.30$ in³
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solve the inequality. graph the solution. |6x - 3|+3 < 45 help me solve…
The graph that shows an open - ended line segment between approximately \(-6.5\) and \(7.5\) (open circles at the endpoints) is the correct one. Without seeing the exact details o…
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find the volume of the square prism. v = ? ft³
$324$
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what is the volume of the box? 3 in 11 in 18 in v = ? in³
594
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calculate the volume of the cube. 8 in 8 in 8 in v = ? in³
$512$
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use a finally, find the volume. radius diameter volume of cylinder = πr…
$565.2$ in$^{3}$
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next, identify the height. volume of cylinder = πr² × h (use 3.14 for π…
The height is 5 in and the volume of the cylinder is 565.2 $in^{3}$
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you correctly chose a cylinder. first, identify the length of the radiu…
6
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what net represents this shape? a) b) c)
C.
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finally, find the volume. triangle area 3 in2 rectangle length 4 in vol…
$12$ in³
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next, find the length of the rectangle. triangle area 3 in2 rectangle l…
4 in
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each square on the grid is 1 unit square. what is the perimeter of the …
20
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you correctly chose a triangular prism. first, find the area of the tri…
3