Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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express the area of the figure, a, as a function of one of its dimensio…
$3x^{2}-4x - 4$
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the point v is plotted on the coordinate grid below. plot the point v, …
To plot the point $V'$, find the $x -$coordinate of point $V$ and keep it the same. Change the sign of the $y -$coordinate of point $V$ and then mark the new point on the coordina…
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an open box is made from a square piece of cardboard 28 inches on a sid…
A. The volume of the box V(6) is 1536 cubic inches, when the side of the square cut from each corner of the piece of cardboard is 6 inches.
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the image of parallelogram pqrs after a reflection across line l is par…
# Explicación: ## Paso 1: Propiedad de la reflexión En una reflexión, las distancias de los puntos al eje de reflexión se conservan. Esto significa que la distancia de un punto $R…
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question reflect the figure over the line y = 2. plot all of the points…
Plot the points obtained by using the formula $(x,4 - y)$ for each point $(x,y)$ of the original figure.
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if w = 12 units, x = 7 units, and y = 8 units, what is the surface area…
720 units²
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the dimensions of a conical funnel are shown below. lolita closes the n…
4.19 minutes
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what is the rule for the reflection? x - axis(x,y)→(x, - y) y - axis(x,…
# Explicación: ## Paso1: Analizar la reflexión Observamos que los puntos de un triángulo se mueven de un lado al otro del eje - y. Los valores de y no cambian, mientras que los va…
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a square has a side that measures 11 units. what is the area of a circl…
154.14 units²
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the volume of the box v(3) is cubic inches, when the side of the square…
C. The volume of the box \(V(4)\) is [unknown value] cubic inches, when the side of the square cut from each corner of the piece of cardboard is 4 inches.
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a county is in the shape of a rectangle that is 50 miles by 60 miles an…
17
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the cross - sectional areas of a right triangular prism and a right cyl…
The volume of the triangular prism is not equal to the volume of the cylinder.
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seth has two similar ice - cream cones, cone a and cone b. the height o…
64:1
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box a has a volume of 32 cubic meters. box b is similar to box a. to cr…
$864\ m^{3}$
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cone w has a radius of 10 cm and a height of 5 cm. square pyramid x has…
Manuel's argument is correct; Paul used the incorrect formula to find the volume of square pyramid $X$.
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what is the shape of the cross section taken perpendicular to the base …
D. Circle
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a cylinder has a diameter of 6 cm and a height of 7 cm. what is the vol…
$197.82$ $cm^{3}$
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the picture shows a container that rene uses to freeze water. what is t…
9
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roxanne is measuring the diameter and the radius of different - sized c…
A circle with a 4 - inch radius has a diameter of 8 inches.
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if a semi - circle is rotated about the y - axis as shown below, what t…
Sphere
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determining whether a point lies on a circle the local pizza restaurant…
No, the distance from the restaurant to Ada's house is $\sqrt{41}$ miles, which is greater than the 6 - mile maximum radius.
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determining the number of possible triangles how many distinct triangle…
2 0
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solving for all unknown measures in a triangle. determine the measures …
$m\angle R = 50^{\circ}$, $PR\approx5.73$, $PQ\approx8.48$
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determining the number of possible triangles in △mno, m = 20, n = 14, a…
There is only one distinct triangle possible, with $m\angle N\approx33^{\circ}$.
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applying the law of sines to a real - world problem. ships a and b are …
The distance from ship A to the submarine is about $1084.92$ feet. The distance from ship B to the submarine is about $1261.57$ feet.
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a circle centered at (-1, 2) has a diameter of 10 units. amit wants to …
No, he did not calculate the distance correctly.
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determining unknown measures. what is the measure of angle e? m∠e = _. …
$m\angle E = 55^{\circ}$ $EF\approx12.49$
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identifying the radius given an equation in general form what is the ra…
8
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consider a circle whose equation is $x^{2}+y^{2}+4x - 6y-36 = 0$. which…
- To complete the square for the $x$ terms, add 4 to both sides. - The center of the circle is at $(-2,3)$.
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practice applying the law of sines. which expression gives the exact va…
$\frac{21.3\sin(34^{\circ})}{\sin(118^{\circ})}$
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story 1: tewksbury teen dies after slammed into ground at house party p…
A. No answer possible without witness - report information. B. No answer possible without grand - jury details. C. 1) No answer possible without trial outcome information. 2) a) N…
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determining whether a point lies on a circle. a circle centered at the …
Yes, the distance from the origin to the point $(8,\sqrt{17})$ is 9 units.
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to derive the standard formula of a circle, a radius r is constructed a…
D. \(x - h\), G. \(y - k\)
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a circle has a diameter of 12 units, and its center lies on the x - axi…
B. $(x - 6)^2+y^2 = 36$, E. $(x + 6)^2+y^2 = 36$
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writing an equation given a graph. what is the equation of the circle s…
$x^{2}+(y + 3)^{2}=4$
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using the law of sines for the ambiguous case △jkl has j = 7, k = 11, a…
$11\sin(16^{\circ}) = 7\sin(K)$; $m\angle K\approx26^{\circ}$; $m\angle K$ could also be $154^{\circ}$
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roxanne is measuring the diameter and the radius of different - sized c…
yes 2
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14. if ∠4≅ ∠5, is c || d? justify your answer. 15. given that m∠2=(12x …
### Explicación paso a paso: #### Paso1: Analizar el ángulo correspondiente en el problema 14 Si $\angle4\cong\angle5$, estos son ángulos alternos internos. Según el teorema de án…
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solving a real - world problem a forest ranger in the west observation …
A. 9.91 mi
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what is the area of the semicircle? 20 mm 157 mm² 62.8 mm² 125.6 mm² 31…
157 $mm^{2}$
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what is the area of a circle with a radius of 12 feet? (use 3.14 for π.…
D. $452.16$ ft$^{2}$
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using the law of sines for the asa case. determine the measures of all …
$m\angle K = 42^{\circ}$ $JK\approx10.52$ $LK\approx20.78$
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using the law of sines for the aas case. complete the work to determine…
$5.81$
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proving the law of sines. two right triangles, △abd and △acd, were crea…
$b\sin(C)=h$
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two right triangles, △abd and △acd, were created from △abc by construct…
Transitive
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proving the law of sines two right triangles, △abd and △acd, were creat…
$\frac{h}{b}$
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proving the law of sines two right - triangles, △abd and △acd, were cre…
$c\sin(B)=h$
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proving the law of sines. two right tri constructed. c sin(b) = h. foll…
\(c\sin(B)=a\sin(C)\) (derived from the fact that the altitude \(h\) can be expressed as \(h = c\sin(B)\) and \(h=a\sin(C)\) in the right - triangles formed within \(\triangle ABC…
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proving the law of sines two right triangles, △abd and △acd, were creat…
$\frac{h}{c}$
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3. given: l || m; ∠6 ≅ ∠11 prove: a || b 1. ∠6 ≅ ∠11 1. given 2. ∠6 ≅ ∠…
Se ha probado que $a\parallel b$
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two right triangles, △abd and △acd, were created from △abc by construct…
The proof is completed as shown above, and $\frac{\sin(B)}{b}=\frac{\sin(C)}{c}$ is proved.
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two right triangles, △abd and △acd, were created from △abc by construct…
The property is the transitive property.
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two right triangles, △abd and △acd, were created from △abc by construct…
$b\sin(C)=h$
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other than a no - solution set, use interval notation to express the so…
A. The solution set in interval notation is $(-\infty,-10)$; E. (The graph that has an arrow pointing to the left starting from an open - circle at - 10 on the number line)
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two right triangles, △abd and △acd, were created from △abc by construct…
$\frac{h}{b}$
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proving the law of sines two right - triangles, △abd and △acd, were cre…
$\frac{\sin(B)}{b}=\frac{\sin(C)}{c}$
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proving the law of sines. two right triangles, △abd and △acd, were crea…
$\frac{h}{c}$
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reviewing the sine ratio. which sine ratios are correct for △pqr? check…
$\sin(P)=\frac{r}{q}$
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determining equations of concentric circles concentric circles are circ…
$(x - 8)^2+(y - 9)^2=3$, $(x - 8)^2+(y - 9)^2=14$
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ematics gr 8 | summary / reflection: identifying and interpreti... refl…
Identifying congruent shapes using transformations helps in real - world problems like architecture, design, and manufacturing. Challenges include complex shapes and visualization…
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guided notes: identifying and interpreting cong... target due: last thu…
1. Rotations 2. Image
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tics gr 8 | guided notes: identifying and interpreting cong... target d…
1. Transformation 2. Dilation 3. Corresponding
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guided notes: identifying and interpreting cong... target due: last thu…
1. center of rotation 2. congruent 3. transformation
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matics gr 8 | guided notes: identifying and interpreting cong... target…
1. shape 2. corresponding 3. coordinate
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the transformation that slides a shape from one position to another wit…
1. Translation 2. Rotation 3. Reflection
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the distance between the points (-1, 4) and (2, 1) is: select an answer…
$\sqrt{18}$
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how can you check if two shapes are congruent? a. by measuring the peri…
C. By comparing corresponding sides and angles
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which transformation does not change the size or shape of a figure? a. …
d. Rotation
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mathematics gr 8 | lesson: identifying and interpreting congruenc... ta…
For the question about dilation: d. The size changes proportionally while shape stays the same
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q1 - accelerated mathematics student portal quest ed mathematics gr 8 |…
1. a. The shape changes orientation but not size 2. None of the given options are correct. The correct answer is that the size changes proportionally while the shape remains the s…
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a. congruence b. similarity c. symmetry d. proportionality which statem…
1. a. Congruence 2. b. Corresponding parts must match in length and angle measure.
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accelerated mathematics gr 8 | lesson: identifying and interpreting con…
a. Congruence
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arion bruce - accelerated mathematics gr 8 | lesson: identifying and in…
1. c. Identical sizes and shapes 2. d. They change the size of the shape
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accelerated mathematics gr 8 | lesson: identifying and interpreting con…
c. Identical sizes and shapes
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accelerated mathematics gr 8 | lesson: identifying and interpreting con…
B. Reflect, then translate, then compare corresponding parts
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which of the following figures has an∠abc of 90 °? select an answer:
The first figure.
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which transformation results in a figure that is not congruent to the o…
a. Dilation
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which of the following figures has an∠abc of 90°? select an answer:
The second figure.
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in the figure abce is a rectangle and abdf is a parallelogram. you are …
(iv) $\therefore\triangle AEF\cong\triangle BDC$ (RHS)
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find the size in degrees of angle θ. select an answer: θ = 30° θ = 45° …
$\theta = 30^{\circ}$
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the ladder dad uses is 5m long, and he stands 3m away from the foot of …
4 m
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from the top of a vertical cliff 125 metres high, the angle of depressi…
361.3 m
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use your calculator and your knowledge of trigonometry to calculate sid…
$3\sqrt{3}\text{m}\approx5.2\text{m}$
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use your calculator and your knowledge of trigonometry to calculate sid…
$3\sqrt{3}\text{ m}$
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a. find the area of the square. show your work. s = 4, so a = 4^2 = 16 …
a. The area of the square is 16 square units. b. The base of the triangle $b = 2$, and the area of the triangle is $\sqrt{3}$ square units.
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this question has two parts. first, answer part a. then, answer part b.…
$s = 4$, so $A=4^2=16$ units$^2$
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answer attempt 1 out of 3 a reflection over the line y = -x a countercl…
A counterclockwise rotation of 180° about the origin
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answer attempt 1 out of 3 a reflection over the y - axis a clockwise ro…
A clockwise rotation of 90° about the origin
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guided notes: transformations of figures on co... target due: last wedn…
translate and rotate in the opposite way
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answer attempt 1 out of 3 a counterclockwise rotation of 180° about the…
A counterclockwise rotation of 180° about the origin
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guided notes: transformations of figures on co... target due: last wedn…
1. Coordinates 2. Degrees 3. 90
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from the given figure, find the volume of the paper towel (use π = 3.14…
$2450.76$ $cm^{3}$
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ics gr 8 | guided notes: transformations of figures on co... target due…
1. Opposites 2. Quadrant 3. Translating
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guided notes: transformations of figures on co... the transformation th…
1. Rotation 2. Origin 3. x
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a garden consists of a square of side 12m, and a semi - circle with cen…
$158.14$ m²
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question 44 what is the image point of (-7,5) after a translation right…
$(-2,9)$
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what is the image point of (0, 2) after a translation left 5 units and …
\((-5,1)\)
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what is the image point of (-6,9) after a translation left 4 units and …
$(-10,8)$
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what is the image point of (0, -1) after a translation left 5 units and…
$(-5,-2)$
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this question has two parts. first, answer part a. then, answer part b.…
perimeter: 12 units area: 6 units$^2$