幾何
三角形、円、座標幾何、証明問題。
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solve for x. (124 - x)° (8x + 43)° x =
$9$
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solve for x. e (7x - 4)° i g j 73° h x =
11
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solve for x. (8x + 9)° 51° x =
$15$
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look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarr…
$63$
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look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarr…
$50.9^{\circ}$
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$137$
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look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarr…
$121$
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look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarr…
$53$
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$53$
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look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarr…
$47$
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look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarr…
$110$
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which angle is adjacent to ∠1?
∠2
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look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarr…
$69$
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3 fill in the blank 1 point what is the coordinate of point p that part…
\(\frac{3\times(\text{coordinate of }M)+(\text{coordinate of }H)}{4}\)
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which angles are corresponding angles? ∠hif and ∠efi ∠hif and ∠gfd ∠hif…
$\angle HIF$ and $\angle GFD$
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qs and tv are parallel lines. which angles are corresponding angles? ∠s…
∠SRP and ∠TUW
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su and vx are parallel lines. which angles are supplementary angles? ∠u…
∠UTR and ∠STR
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circle 1 was dilated with the origin as the center of dilation to creat…
$(x,y)\to(5x,5y)$
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circle 1 was dilated with the origin as the center of dilation to creat…
\((x,y)\to(5x,5y)\)
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2. directed line segment bn has endpoints at point b(9, -7) and point n…
\((1,-3)\)
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1. directed line segment wg has endpoints at w(-3,3) and g(6,-3). direc…
a. 6 b. -4 c. (3,-1)
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the coordinates of the vertices of a quadrilateral are h (2,2), t (2, -…
$H'=(2,-2)$ $T'=(-3,-2)$ $E'=(-2,4)$ $W'=(5,4)$
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the coordinates of the vertices of a quadrilateral are n (2, 1), p (2, …
$N'=(-3,-3)$ $P'=(-3,-6)$ $Q'=(-6,-5)$ $R'=(-6,-2)$
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circle 1 was dilated with the origin as the center of dilation to creat…
$(x,y)\to(2\frac{1}{2}x,2\frac{1}{2}y)$
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the coordinates of the vertices of a triangle are f (6,1), e (6,3), and…
$F'=(1,-6)$ $E'=(3,-6)$ $C'=(6,2)$
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the coordinates of the vertices of a triangle are a (1, -2), b (1, 2), …
\(A'=(6,3)\), \(B'=(6,7)\), \(C'=(4,6)\)
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9 fill in the blank 1 point a point has no dimension or actual size. 10…
9. point 10. line
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8 fill in the blank 1 point a choose your answer... has infinite length…
For the first blank: plane For the second blank: point
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fill in the blank 1 point. a choose your answer... has infinite length,…
line
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a hexagon is graphed on a coordinate grid and then dilated by a scale f…
$(-10a,4a)$
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7 fill in the blank 1 point a choose your answer... has one dimension. …
line
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6 fill in the blank 1 point a choose your answer... indicates a locatio…
point
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5 fill in the blank 1 point a choose your answer... is named by an orde…
point
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what is the perimeter of square stuv? perimeter = units
32
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what is the area of rectangle tuvw? area = square units
72
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what is the area of square vwxy? area = square units
25
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what is the perimeter of rectangle fghi? perimeter = units
64
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3 fill in the blank 1 point a choose your answer... is often drawn as a…
plane
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what is the area of square cdef? area = square units
9
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the coordinates of the vertices of a quadrilateral are n (1,1), t (1, -…
$N'=(-1,-1)$ $T'=(-1,4)$ $Q'=(2,1)$ $Z'=(2,-4)$
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the coordinates of the vertices of a quadrilateral are n(1,1), t(1, - 4…
$N'=(-1,-1)$ $T'=(-1,4)$ $Q'=(2,1)$ $Z'=(2,-4)$
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what is the perimeter of square vwxy? perimeter = units
24
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2 fill in the blank 1 point a choose your answer... has no length, no w…
point
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which angles are complementary to each other? ∠2 and ∠1 ∠1 and ∠5 ∠2 an…
∠2 and ∠4
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fill in the blank 1 point a choose your answer... has two dimensions. c…
plane
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other than itself, what is an angle that is congruent to ∠dfe?
∠AFC
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what is an angle that is supplementary to ∠fga?
$\angle FGE$
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what is an angle that is supplementary to ∠3?
∠2
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right rectangular prism x is similar to right rectangular prism y. the …
$5376$
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4. use the relationships in the diagrams below to solve for x, if possi…
a. \(x = 28.5\) b. \(x = 23\) c. Not possible to solve for \(x\)
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a right - square pyramid has a surface area of 75264 square inches whic…
100
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1. (2 - 122) identify the geometric angle - relationship(s) in each dia…
a. \(x = 60\) b. \(x = 33\)
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esson 2.3.1/2.3.2 triangle inequality & pythagorean thm. name shyla kel…
a. Right - triangle. We assume we can visually identify a 90 - degree angle formed by the lines. b. 12 square units.
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2. (2 - 107) examine the diagram at right. based on the information in …
All the angles in the diagram can be determined as 74° or 106° based on vertical - angle and supplementary - angle relationships. The angles are 74°, 106°, 74°, 106°, 74°, 106°, 7…
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a triangle has side lengths of $(q + r)$ centimeters, $(5q - 10s)$ cent…
$6q - 6r - 5s$
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note : figure not drawn to scale in the figure shown , the length of ab…
A. the length of BC is 66
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a triangle has side lengths of (6v + 3) centimeters, (2v + 5) centimete…
$8w + 8v+13$ (the second option)
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which statement about the image pictured is false? contains line bv the…
the image contains no lines
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the width of a rectangle measures (9b - 8c) centimeters, and its length…
$32b - 4c$
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question 10 (multiple choice worth 1 points) which of the following sta…
\(\frac{FH}{FI}=\frac{HG}{IE}\)
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question 9 triangle abc is formed by a reflection over x = -3 and dilat…
\(\frac{AB}{A'B'}=\frac{1}{3}\)
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translate the figure 5 units right and 7 units down. plot all of the po…
Use the rule $(x,y)\to(x + 5,y - 7)$ for each vertex of the original figure and plot the resulting points.
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question 8 (multiple choice worth 1 points) △hfg is dilated by a scale …
The first option (where $FG = \frac{1}{2}FI$, $FH=\frac{1}{2}FE$, and $HG=\frac{1}{2}EI$ and $\triangle HFG\sim\triangle EFI$) is true.
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question 7 given trapezoids qrst and wxyz, which statement explains a w…
Verify corresponding pairs of sides are proportional by dilation.
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question 6 △abc was dilated from the origin by a scale factor to create…
Side $AC$ is proportional to side $A'C'$
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the right square pyramid shown has a height of 9 centimeters (cm). the …
4563
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are quadrilaterals abcd and efgh similar? yes, quadrilaterals abcd and …
Yes, quadrilaterals \(ABCD\) and \(EFGH\) are similar because a translation of \((x + 2,y + 5)\) and a dilation by the scale factor of 3 from point \(A'\) map quadrilateral \(ABCD…
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question 4 △abc is dilated from the origin at a scale factor of 3 to cr…
congruent, proportional, similar
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question 3 triangle bac was rotated 90° clockwise and dilated at a scal…
∠A≅∠X
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question 1 triangle a*b*c* is formed using the translation (x + 0,y + 2…
\(\frac{\overline{AC}}{\overline{A'C'}}=\frac{1}{2}\) (equivalent to \(\overline{A'C'}=2\overline{AC}\)), so the correct option is \(\frac{\overline{A'C'}}{\overline{AC}} = 2\) (a…
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question 10 dilate line f by a scale factor of 3 with the center of dil…
The locations of $A'$ and $B'$ are $A'(0,6)$ and $B'(6,0)$; lines $f$ and $f'$ are parallel.
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question 9 (multiple choice worth 1 points) hexagon ijklmn is shown on …
(-0.8, 2.4)
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question 8 triangle abc is translated by the rule (x + 1, y - 1) and th…
$\angle C$ and $\angle C''$ are congruent after both the translation and the dilation.
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question 7 (multiple - choice worth 1 points) mn has endpoints located …
$\overline{MN}$ is located at $M(0,0)$ and $N(2,0)$ and is half the length of $\overline{M'N'}$.
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question 6 (multiple choice worth 1 points) (03.01.r lc) trapezoid trap…
X
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question 5 (multiple choice worth 1 points) (g3.01r mc) triangle efg is…
$\overline{EH}$ and $\overline{E'H'}$ both pass through the center of dilation.
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press \try\ to test a translation or sequence of translations. a transl…
A translation right 6 units and up 5 units.
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circle s has a radius of 9 feet, and m∠rst is $\frac{2pi}{3}$ radians. …
$27\pi$
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write the equation of the line in fully simplified slope - intercept fo…
# Explicación: ## Paso 1: Encontrar la pendiente \(m\) Elegir dos puntos en la línea, por ejemplo, \((0, - 5)\) y \((10,0)\). La fórmula de la pendiente \(m=\frac{y_2 - y_1}{x_2 -…
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question 3 (multiple choice worth 1 points) (03.01 mc) pentagon opqrs i…
(-5.25,-3.5)
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question 2 quadrilateral efgh was dilated by a scale factor of 2 from t…
A segment that does not pass through the center of dilation in the pre - image is parallel to its corresponding segment in the image.
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question 1 (multiple choice worth 1 points) (03 01r lc) ab is dilated f…
B. 2
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draw a line representing the ise\ and a line representing the un\ of th…
# Explicación: ## Paso 1: Elegir dos puntos en la línea Tomemos los puntos $(0, 3)$ y $(3,0)$. ## Paso 2: Calcular el "rise" (ascenso) El "rise" es la diferencia en las coordenada…
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which of the following is an equation of the circle with radius 4 and c…
$(x - 7)^2+(y + 5)^2 = 16$
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solve and graph. -10r - 4 > -14 a. -14 -12 -10 -8 -6 b. -24 -22 -20 -18…
c. (Assuming option c's graph shows all values less than 1, with an open circle at 1 and shading to the left)
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try it! draw real - world and mathematical conclusions 2. assume that e…
a. La medida de ∠1 es igual a la medida de ∠2. b. Se ganó un premio.
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solve. select the inequality and the graph that are the answers. 7x - 1…
c. x < -16, g. (Graph with open circle at -16 and arrow left)
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finding arc length in exercises 51 and 52, find the length of the arc o…
Problem 51: The arc length is approximately $31.4$ inches. Problem 52: The arc length is approximately $7.85$ meters.
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finding arc length in exercises 51 and 52, find the length of the arc o…
$10\pi\approx31.4$ inches
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a transformation has the following property. the transformation maps an…
translation
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kl is rotated as shown below. find the length of kl and kl to verify th…
# Explicación: ## Paso 1: Identificar la fórmula de distancia La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. ## Pa…
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fh bisects ∠efg. find the indicated angle measures. m∠gfh = 71 °. find …
$m\angle EFH = 71^{\circ}$ $m\angle EFG = 142^{\circ}$
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a circle has center (8, 0) and passes through (8, 9). which of the foll…
$(x - 8)^2+y^2=81$
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the ratio of the measure of an angle to the measure of its complement i…
The smaller angle measures $20^{\circ}$. The larger angle measures $70^{\circ}$.
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quadrilateral lmno is reflected across the x - axis to produce quadrila…
$(x,y)\to(x, - y)$
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kl is rotated as shown below. find the length of kl and kl to verify th…
# Explicación: ## Paso 1: Identificar la fórmula de distancia entre dos puntos La fórmula de la distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d = \sqrt{(x_2 - x_1)^2+(y…
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which rotation is shown? o 270 degrees o 180 degrees o 90 degrees
# Explicación: ## Paso 1: Observar el cambio de coordenadas Tomemos un vértice, por ejemplo, el punto \(S(-3,1)\) en la figura original y su correspondiente \(S'(1,3)\) en la figu…
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question 12 1 pts. 3. write a rule for the translation of △abc to △abc.…
# Explicación: ## Paso 1: Encontrar el cambio en la coordenada x Observando los puntos correspondientes, vemos que los puntos en el triángulo original se mueven 4 unidades hacia l…
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question 11 1 pts 2. write a rule for the translation of △rst to △rst. …
$<3,5>$
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question 13 0.5 pts what rotation is shown? 90 degrees 270 degrees 180 …
# Explicación: ## Paso 1: Observar la orientación de los triángulos Comparar la ubicación y orientación del triángulo original y el triángulo rotado. ## Paso 2: Aplicar las reglas…