Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which of the following points lies on the circle with equation $(x - 1)…
D. \((6,-2)\)
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simplify (6x² - 3 + 5x³) - (4x³ - 2x² - 16). 2x³ - x² + 21 -2x³ + x² - …
#### First question: C. $x^{3}+8x^{2}+13$ #### Second question: A. $3a^{2}b$ #### Third question: $10x + 4$
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1. essential question how are the properties of reflection used to tran…
The properties of reflection like distance - preservation, angle - preservation, and orientation change are used. Each point of the figure is mapped to a new point on the opposite…
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a figure is located at (2, 0), (2, -2), and (6, 0) on a coordinate plan…
A cone would be created. The right - triangle formed by the points (2,0), (2, - 2), and (6,0) when rotated about the x - axis generates a cone because the cross - sections perpend…
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2 5 ft 4 5 in
$19.625$ in$^{2}$
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problems 1 - 4: determine whether each figure is a parallelogram. for f…
1. No, top and bottom sides are not parallel. 2. Yes 3. Yes 4. No, only one pair of parallel sides. For problems 5 - 7, the area of a parallelogram is given by \(A = b\times h\) (…
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problems 1 - 4: determine whether each figure is a parallelogram. for f…
1. Parallelogram (Yes). Opposite sides are parallel. 2. Parallelogram (Yes). Opposite sides are parallel. 3. Parallelogram (Yes). Opposite sides are parallel (it's a rectangle, a …
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in the diagram shown, m∠xwz = 90°. what is x? (5x + 5)° (2x + 8)°
# Explicación: ## Paso 1: Sumar los ángulos dados Sabemos que la suma de los ángulos $(5x + 5)^{\circ}$ y $(2x+8)^{\circ}$ es igual a $90^{\circ}$ (ya que $\angle XWZ = 90^{\circ}…
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write the new coordinates write the coordinates obtained after the give…
1) $E'(-7,-7),F'(-3,-8),G'(-3,-4),H'(-7,-3)$ 2) $C'(5,-4),D'(2,-5),E'(1,-8),F'(4,-7)$ 3) $A'(-5,-1),B'(-3,-4),C'(-3,0)$ 4) $P'(1,2),Q'(1,1),R'(4,1),S'(4,2)$ 5) $J'(3,-5),K'(1,-1),…
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which figure has rotational symmetry?
B. The cross - like figure
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translation of shapes. find the image of each shape using the translati…
The new shapes are drawn on the grid according to the translation rules applied to each vertex of the original shapes. (As this is a visual problem, a detailed graphical answer ca…
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what is the surface area of the shape?
10
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what combination of transformations is shown below? reflection, then ro…
# Explicación: ## Paso 1: Analizar la transición de la figura 1 a la figura 2 Observamos que la figura 2 está desplazada hacia arriba y hacia la derecha en comparación con la figu…
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question 4: find the angle x in each question below. give reasons for y…
(a) $55^{\circ}$; (b) $53^{\circ}$; (d) $113^{\circ}$; (e) $55^{\circ}$
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what is the surface area of the shape? 2in 2in 8in in.²
\(51.712\) (rounded to three decimal places)
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proving the congruent supplements theorem given: ∠1 and ∠2 are suppleme…
1. Supplementary 2. 3 and 2 3. Transitive 4. 2
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justifying a statement. based on the diagram, which reason justifies th…
Complements of the same angle are congruent.
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question 1 (essay worth 10 points) pyramid a is a square pyramid with a…
9
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what happens to madeline and roderick? a roderick goes down to the tomb…
B. Madeline enters the room after breaking out of the tomb and dies, and Roderick dies immediately afterward out of shock (not guilt as guilt is not the main cause here but the mo…
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which angle number represents an angle vertical to ∠jrm?
$\angle 4$
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determining angle measures. let (mangle a = 40^{circ}). if (angle b) is…
$m\angle B = 50$ $m\angle C = 130$
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determining angle measures let (mangle a = 40^{circ}). if (angle b) is …
\(m\angle B = 50\), \(m\angle C=130\)
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finding an angle measure what is the measure of ∠edh? (5x)° (4x)° 10° 5…
$50^{\circ}$
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determining angle relationships in a diagram. which statements are true…
1. \(m\angle MNG + m\angle GNH = 90^{\circ}\) 2. \(m\angle HNK + m\angle KNL = 180^{\circ}\) 3. ∠GNH and ∠HNJ are complementary
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write the new coordinates write the coordinates obtained after the give…
1) $A':(2,-5)$, $B':(4,-5)$, $C':(5,-3)$, $D':(2,-4)$ 2) $P':(-3,3)$, $Q':(-1,3)$, $R':(0,5)$, $S':(-3,5)$ 3) $K':(-1,-1)$, $L':(2,-1)$, $M':(2,1)$, $N':(-1,1)$ 4) $S':(-4,1)$, $T…
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∠fbc and ∠cbg are supplements. ∠dbg and ∠dbf are supplements, and ∠cbg≅…
$\angle FBC\cong\angle DBG$
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isosceles triangle abc is shown, with angle bisector ad. move options t…
1. $\angle BAD\cong\angle CAD$; Definition of angle bisector 2. $\overline{AD}\cong\overline{AD}$; Reflexive property 3. $\triangle BAD\cong\triangle CAD$; Side - Angle - Side 4. …
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try it! 3. triangle abc has vertices a(-5, 6), b(1, -2), and c(-3, -4).…
$A'(-5,-6), B'(1,2), C'(-3,4)$
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a triangle has sides that measure 2 units, 5 units, and 5.39 units. wha…
12 units²
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determine the probability that a dart that lands on a random part of th…
\(78.5\%\)
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finding an angle measure. what is the measure of ∠cbe? (3x)° (2x)° 72° …
\(108^{\circ}\)
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what is the surface area of a square prism with sides that measure 8 un…
384 units²
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complementary and supplementary identifying angle pair relationships us…
∠ADC and ∠BDC are supplementary angles (and adjacent angles); A pair of complementary angles: None (or no such pair in the diagram)
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a cylindrical piece of iron pipe is shown below. the wall of the pipe i…
254 cubic inches
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identifying supplementary angles. which angle pairs are supplementary? …
∠4 and ∠3, ∠1 and ∠2, ∠7 and ∠8
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determine the probability that a dart that lands on a random part of th…
For the first figure: $79\%$; For the second figure: $83\%$
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in the figure shown, $angle prs$ and $angle spq$ are right - angles, an…
D. $\triangle SPQ\sim\triangle SRP$ by AA C. $\triangle SPQ\sim\triangle PQR$ by AA E. $\triangle PQR\sim\triangle SPQ$ by AA
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a regular heptagon (7 sides) has an area of 540 cm². a second regular h…
E. $\frac{p}{3}$
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determine the probability that a dart that lands on a random part of th…
$128.5\%$
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determine the probability that a dart that lands on a random part of th…
43.6%
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2. sketch the reflection of △lmn across line n.
Sketch the reflected triangle $\triangle L'M'N'$ with vertices L', M', N' located as described above.
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determine the probability that a dart that lands on a random part of th…
58.9%
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1. for each line segment shown below: (a) use your compass and a straig…
Follow the above construction steps for each given line - segment to construct equilateral triangles and measure their side lengths with a ruler to the nearest millimeter.
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plot the inequality on the number line. -6 < x ≤ 5 choose the proper to…
Use the tool with an open - circle at $-6$ and a closed - circle at $5$ and shade the region between them on the number line.
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choose all the figures that have a rectangular cross - section.
The cube (the second figure) has a rectangular cross - section.
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a company that manufactures storage bins for grains made a drawing of a…
$\frac{1}{3}\pi(2)^{2}(10)+\pi(2)^{2}(13)$
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on the picture of the tape measure shown below, the arrow indicates wha…
6 15/16"
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1. what is the midpoint m given p(-1, 2) and q(-2, -4)? (-2, 4) (-5, 1)…
C. (-1.5,-1)
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using the congruent complements or congruent supplements theorems given…
By the congruent - complements theorem, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of congruent angles. T…
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if a semi - circle was rotated about the y - axis, like the one shown b…
Sphere
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determine the probability that a dart that lands on a random part of th…
$63.7$
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jude says that the volume of a square pyramid with base edges of 9.7 in…
Yes, his calculations are correct and the volumes for figures are equal.
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a cylindrical vase has a diameter of 6 inches. at the bottom of the vas…
$\pi(3\text{in})^{2}(12\text{in})-7(\frac{4}{3}\pi(1.5\text{in})^{3})$
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△dog~△cat what is the ratio of the area of △dog to the area of △cat? a …
C. \(\frac{4}{25}\)
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which rigid transformations can you use to map figure e onto figure f? …
# Explicación: ## Paso 1: Comprender las transformaciones rígidas Las transformaciones rígidas conservan la forma y el tamaño de una figura. Incluyen traslación, reflexión y rotac…
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a square prism and a cylinder have the same height. the area of the cro…
The volume of the square prism is equal to the volume of the cylinder.
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b (-14, 9) l (0, -2) d = \\sqrt{( )^{2}+( )^{2}} d =
# Explicación: ## Paso 1: Identificar las coordenadas Sean $(x_1,y_1)=(-14,9)$ y $(x_2,y_2)=(0, - 2)$. La fórmula de la distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d=…
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in triangle abc, $overline{ab}congoverline{cb}$ and d is the mid - poin…
| Statements | Reasons | |--|--| | \(\overline{AB}\cong\overline{CB}\) and \(D\) is the mid - point of \(\overline{AC}\) | Given | | \(\overline{AD}\cong\overline{CD}\) | Definiti…
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question 4 (multiple - choice worth 4 points) the length of the base ed…
$60$ $ft^3$
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a cone has a radius of 7 m and a height of 27 m. what is the volume of …
$441\pi$ m³
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6. what is the distance between points f(2, 11) and g(5, 16)? round to …
6
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one link in a chain was made from a cylinder that has a radius of 2.5 c…
$345.4$ $cm^{2}$
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figure abcd is related to form figure jklm. which side of figure jklm c…
# Explicación: ## Paso 1: Identificar el concepto de reflexión En una reflexión, los lados correspondientes de las figuras son aquellos que se alinean después de la transformación…
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find the error jacinda and elaine are finding the value of x in △ jhl. …
Jacinda is correct. The value of $x$ is $4.5$ because in a triangle, the mid - segment ($MP$) is half the length of the third side ($JL$), so $x=\frac{1}{2}\times9 = 4.5$.
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figure pqrs is rotated to form figure wxyz. which angle of figure wxyz …
# Explicación: ## Paso 1: Comprender la rotación La rotación es una transformación que preserva la congruencia de figuras. Los ángulos correspondientes en figuras congruentes son …
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use parallel structure: review parallel structure improves the flow and…
1. singing birds 2. decide 3. practicing daily 4. working on a 1,000 - piece jigsaw puzzle 5. through the bathroom window 6. anticipated a delicious five - course meal
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the pyramid shown has a height of 40 meters, a slant height of 41 meter…
D. $4,320\ m^{3}$
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5. ray bd bisects ∠abc so that m∠dbc=(x + 8)° and m∠abd=(2x - 15)°. wha…
# Explicación: ## Paso1: Aplicar la definición de bisectriz Como la ray BD bisecta ∠ABC, entonces m∠ABD = m∠DBC. Así, 2x−15=x + 8. ## Paso2: Resolver la ecuación para x Restar x d…
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refer to the figure. find m∠suv.
$32^{\circ}$
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cay street and bay street are parallel. find the value of x, the distan…
$1.12$ km
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find the value of x. (2x)° (4x + 108)° x =
$12$
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the figures below are similar. use proportions to find the length of n.…
2
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the figures below are similar. use proportions to find the length of s.…
$12$
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the dimensions of a cuboid shape cupboard are 1.31 m wide by 0.9 m long…
2
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5. read the following statements: i. the diagonals in a trapezoid are a…
C. I, II, and III
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4. which of the following is true about an isosceles trapezoid? the dia…
The diagonals are congruent.
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2. read the following statements: i. the sum of the angles in all trape…
A. I and II only
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1. find the missing angle. m j 79° l k? degrees
$101$
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10. find the missing angle.
$75$
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in the triangle below, find the measurements of the unknown angles. a. …
E. $35^{\circ},70^{\circ}$
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number of questions: 10 9. find the missing angle. check answer english…
82
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determine the probability that a dart that lands on a random part of th…
$78.5$
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m∠kji = 123° and m∠kjn = 28°. find m∠nji. m∠nji =
$95$
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look at this shape: which image shows a translation?
B. La figura en la opción B muestra una traducción.
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use the image below to solve for x. x=
48
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4. points l, m, and n are collinear. you are given lm = 18 and ln = 27.…
# Explicación: ## Paso 1: Considerar la relación entre los segmentos Como los puntos L, M y N son colineales, entonces $LN=LM + MN$ o $LM=LN + MN$ (según la ubicación de los punto…
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8. find the missing angle.
\(120\)
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7. graph the image of the triangle below using a scale factor of k = 4.…
# Explicación: ## Paso 1: Regla de dilatación en el origen Para una dilatación centrada en el origen con factor de escala $k$, si un punto tiene coordenadas $(x,y)$ su imagen tend…
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use the image below to solve for x. 42° x
48
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7. find the median uv. g 34.6 d u? v f 10.6 e
$22.6$
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4. rhombus wxyz with vertices w(2, - 4), x(6, - 2), y(10, - 4), and z(6…
# Explicación: ## Paso 1: Aplicar la fórmula de dilatación Para dilatar un punto $(x,y)$ con un factor de dilatación $k$, se usan las fórmulas $x'=k\cdot x$ e $y' = k\cdot y$. ## …
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use the image below to solve for x.
48
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calculate the distance between the points n = (-2, 0) and c = (6, 4) in…
$4\sqrt{5}$
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2. triangle lmn with vertices l(2, -8), m(12, 8), and n(14, -4): k = 1/…
# Explicación: ## Paso 1: Encontrar coordenadas de los vértices dilatados de $\triangle LMN$ Para dilatar un punto $(x,y)$ con un factor de dilatación $k$, se usan las fórmulas $x…
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if (mangle klw=(36x + 2)^{circ}), (mangle wlm = 20^{circ}), and (mangle…
$x = 3$ $m\angle KLW=110$ $m\angle KLM=130$
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calculate the distance between the points e = (-3, -2) and q = (2, -9) …
$\sqrt{74}$
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use the figure to answer the question. what is the value of y - x? a. 2…
C. 45
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the room shown in the diagram is being carpeted. *not drawn to scale ho…
B. 97 ft²
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if $overline{aob}$ forms a straight angle, $mangle aod=(3x - 12)^{circ}…
$x = 48$ $m\angle AOB = 180$ $m\angle AOD = 132$ $m\angle BOD = 48$
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directions: graph and label each figure and its image under a dilation …
# Explicación: ## Paso 1: Aplicar la fórmula de dilatación Para una dilatación centrada en el origen con factor $k$, si un punto tiene coordenadas $(x,y)$, sus coordenadas en la i…