幾何
三角形、円、座標幾何、証明問題。
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look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarr…
\( 63^{\circ} \)
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noah enlarged a photograph by a scale factor of six. the area of the en…
B. 36
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the distance fc rections: find the distance between each pai cal form. …
\(7\sqrt{5}\)
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the point b is plotted on the coordinate grid below. plot the point b, …
The coordinates of \( B' \) (the reflection of \( B \) over the \( y \) - axis) are \( (6,-2) \), and it should be plotted at the point with \( x = 6 \) and \( y=-2 \) on the coor…
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the figure below is dilated by a factor of 3 centered at the origin. pl…
The dilated image has vertices at \( (0, -6) \), \( (3, -6) \), \( (9, 6) \), and \( (-9, 3) \). Plot these points and connect them to form the dilated figure.
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for the following right triangle, find the side length x. image of a ri…
37
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fill in the parts-whole model for the following equation. $(6z + 3) - (…
The value of the expression \((6z + 3)-(6z)\) is \(3\). For the parts - whole model: - The whole (the top rectangle) is \(6z + 3\). - The two parts (the bottom two rectangles) are…
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figure 1 and figure 2 below are congruent. which angle corresponds to a…
Angle \( L \) (or \( \angle L \)) corresponds to angle \( C \) (or \( \angle C \)).
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find the distance between the two points in simplest radical form. (-9,…
15
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figure 1 and figure 2 below are congruent. which angle corresponds to a…
Angle \( J \) (or \( \angle J \)) corresponds to angle \( C \) (or \( \angle C \)).
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find the distance between the two points in simplest radical form. (0, …
\(3\sqrt{5}\)
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given ( m parallel n ), find the value of ( x ).
\(x = 40\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 5\)，\(y = 160\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 16\)，\(y = 50\)
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find the area of the triangle below. be sure to include the correct uni…
$32\ \text{ft}^2$
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find the area of the triangle below. be sure to include the correct uni…
$66.5$ square yards (or $66.5\space yd^2$)
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 7\)，\(y = 146\)
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solve for the value of e.
\( e = 16 \)
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find the area of the right triangle. 1 unit area = \\square square units
12
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 6\)，\(y = 140\)
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given ( m parallel n ), find the value of x.
14
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given ( m parallel n ), find the value of ( x ).
\(x = 42\)
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sides of a triangle practice complete this assessment to review what yo…
\(17 < x < 85\)
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which angle is vertical to ∠1? ∠4 ∠3 ∠2 ∠5
∠4
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express sin q as a fraction in simplest terms.
\(\frac{12}{13}\)
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suppose that the point (x, y) is in the indicated quadrant. decide whet…
Positive
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read the passage from sugar changed the world. one of these early hindu…
B. "sugar cane was now an ingredient in ceremonies invoking fire" E. "sugar cane is called ikshu, which means'something that people want'" F. "they began to use the name shakara, …
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use reference angles to find the exact value of the following expressio…
\(-\dfrac{2\sqrt{3}}{3}\)
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what is the volume of this cone? use π ≈ 3.14 and round your answer to …
\( 1339.73 \)
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solve the compound inequality. graph the two inequalities on the first …
For graphing \( x < 5 \), the correct option is B (open circle at 5, arrow pointing left, shading all values less than 5). For the compound inequality \( x < 5 \) or \( x < 6 \), …
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name the marked angle in 2 different ways.
\( \angle DAB \), \( \angle A \) (or \( \angle BAD \), \( \angle A \))
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identify the segment bisector of \\(\\overline{jk}\\). \\(7x + 5\\) \\(…
The segment bisector of \( \overline{JK} \) is \( M \), and the length of \( \overline{JM} \) is \( 40 \).
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the diagram below is a right rectangular prism. all the angles shown me…
parallel (and congruent, but the primary relationship here is parallel)
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use the map shown below to find the distance between cities a and b to …
3.6
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what is the distance between the points shown on the coordinate plane b…
\(8.2\)
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point v is on line segment \\(\\overline{uw}\\). given \\(vw = 5x - 4\\…
6
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the figure shows two rectangles. which expression represents the area o…
First, find the dimensions of the outer rectangle. The length of the outer rectangle is \(6x + 2x=8x\) (since there are two \(x\) segments on the top and bottom), and the width is…
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9) choose the best answer. using the given coordinates and the ruler po…
1 (corresponding to the first option, e.g., if the first option is "1", then the answer is the option with "1")
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find the distance between points q and n.
$\frac{3}{5}$
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this image has rotational symmetry. what is the smallest number of degr…
$60^{\circ}$
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the diagram shows a dilation of line ab about the origin o. determine t…
The scale factor is \( 1.5 \), \( OB = 2.0 \) units, \( OB' = 3.0 \) units.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x < 7$ (For the number line: Draw an open circle at 7 and shade the line to the left of 7.)
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which point is on the line that passes through point h and is perpendic…
# Explanation: ## Step1: Find slope of FG First, identify coordinates of F and G. From the graph, F is \((-10, -8)\) and G is \((8, 4)\). The slope formula is \(m = \frac{y_2 - y_…
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a triangle on a coordinate plane is translated according to the rule $t…
\((x,y)\to(x - 3,y + 5)\) (the first option)
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a line segment has endpoints at (-4, -6) and (-6, 4). which reflection …
a reflection of the line segment across the y - axis
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ray ce is the angle bisector of ∠acd. which statement about the figure …
\(m\angle ACE=\frac{1}{2}m\angle ACD\) (the second option)
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identify two segments that are marked congruent to each other on the di…
\( GJ \) is congruent to \( HI \) (or \( JK \) is congruent to \( HK \), or \( GK \) is congruent to \( IK \))
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5 select the diagonal characteristic(s) that apply to a parallelogram. …
C. Diagonals bisect
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given ( m parallel n ), find the value of ( x ).
# Explanation: ## Step1: 确定角的关系（内错角相等） 因为\(m\parallel n\)，被截线\(t\)所截，所以\((2x - 2)^{\circ}\)与\((2x - 30)^{\circ}\)的关系？不对，重新看，应该是同位角或内错角？哦，不对，图中\((2x - 2)^{\circ}\)和\((2x - 30)^{\ci…
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identify a pair of segments that are marked perpendicular to each other…
\( TS \) is perpendicular to \( PS \) (or other valid pairs like \( XQ \) and \( PQ \), \( YR \) and \( QR \), \( VW \) and \( PQ \), \( XQ \) and \( WX \), \( YR \) and \( YT \),…
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graph the image of δstu after a translation 2 units right and 6 units d…
The image of \( \triangle STU \) has vertices at \( S'(-6,-7) \), \( T'(-6,-6) \), and \( U'(2,-5) \). (To graph, plot these points and draw the triangle.)
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write the coordinates of the vertices after a dilation with a scale fac…
\( P'(4, -4) \), \( Q'(8, -4) \), \( R'(8, 0) \), \( S'(-8, 0) \)
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the movement of the progress bar may be uneven because questions can be…
), and a right triangle attached to the right, so the total length of the bottom is \( 18 \), the top is \( 18 + 8 = 26 \)? No, that's not. Wait, the triangle's base is \( 8 \), s…
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the movement of the progress bar may be uneven because questions can be…
$\triangle ABC \sim \triangle DEF$ because $\frac{6}{4} = \frac{12}{8} = \frac{9}{6}$ (the first option)
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name the marked angle in 2 different ways
$\angle M$ and $\angle OMP$ (or other valid three - point name like $\angle PMO$ depending on the side order, but $\angle M$ and $\angle OMP$ are common valid names)
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rays ba and bc are perpendicular. point d lies in the interior of ∠abc.…
\( m\angle ABD = 47^\circ \) \( m\angle DBC = 43^\circ \)
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given ( m parallel n ), find the value of x.
\( x = 48 \)
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in the image shown, $overleftrightarrow{hs} parallel overleftrightarrow…
\(22.2\)
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find the exact value of cos l in simplest radical form. triangle with v…
\( \frac{3\sqrt{5}}{20} \)
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find the exact value of cos f in simplest radical form.
\(\frac{4\sqrt{2}}{7}\)
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look at this shape: image of a blue quadrilateral on a grid which image…
C
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list the coordinates of the figure. then list the coordinates after a r…
### Top - Left (Reflection over x - axis) #### Step 1: Determine original coordinates - Let's assume each grid square has a side length of 1 unit. For point \(R\), looking at the …
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find the area of the figure. hint: separate into regular shapes and com…
\( 600 \)
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find the area of each rectangle. what is the area of rectangle 1? area …
Area of Rectangle 3: \( 54 \, \text{m}^2 \) Total Area: \( 180 \, \text{m}^2 \)
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correct, there are 3 rectangles. now, find the area of each rectangle. …
36
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find the area of this irregular shape. begin by dividing this shape int…
A) 3
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figure wxyz is transformed using the rule ( r_{y\text{-axis}} circ t_{-…
\((-5, 8)\)
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plane use the information below to answer the question. a plane has an …
A. They are comprised of three dimensions
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point e lies on \\(overline{cd}\\) such that \\(ce:de\\) is \\(1:4\\). …
El punto \( E \) tiene coordenadas \( (-4, -6) \).
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name the plane that is highlighted in the diagram below.
Plane \( WYUS \) (or other valid names like Plane \( WYU \), Plane \( WYS \), Plane \( WSU \), Plane \( YSU \) based on the three - point naming convention for a plane)
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suppose that the function g is defined, for all real numbers, as follow…
The graph consists of the line \( y = x \) (with an open circle at \( (-2, -2) \)) and a closed circle at \( (-2, 2) \).
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classify the four angles of the quadrilateral.
| | Right | Acute | Obtuse | |-------|-------|-------|--------| | \(\angle A\) | \(\circ\) (selected) | | | | \(\angle B\) | | \(\circ\) (selected) | | | \(\angle C\) | | | \(\cir…
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∠x and ∠z are complementary and ∠x and ∠y are complementary. complete t…
Transitive Property of Equality (or Substitution Property, since both equal \( 90^\circ \))
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∠w and ∠x are supplementary and ∠w and ∠y are supplementary. complete t…
Para el paso 6, la razón es la **Propiedad de Sustracción de Igualdad** (Subtraction Property of Equality), ya que restamos \( m\angle W \) de ambos lados de la ecuación \( m\angl…
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5) 12 10 12 6 ?
5
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each section of the graphic organizer contains a vocabulary term and tw…
- Integer circle (with 41): \(-9\) - Repeating decimal circle (with 5.8666...): \(6.\overline{3}\) - Fraction circle (with \(\frac{11}{12}\)): \(-\frac{4}{5}\) - Circle with 0.8, …
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the movement of the progress bar may be uneven because questions can be…
8
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angle 55° 65° 75° adjacent leg length / hypotenuse length 0.57 0.42 0.2…
A. \( 55^{\circ} \)
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this angle is written as....
\(\angle BOA\) (the orange option, or if the cyan is \(\angle AOB\), but based on the options, the correct one is \(\angle BOA\) as per the angle notation with vertex \(O\) betwee…
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brook states that the distance on the line is 4 units. caleb states tha…
the distance between L and M
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5 multiple choice 20 points which coordinate corresponds to point \d\? …
(1,1)
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unit 1 summative (area/perimeter/volume/surface area find the surface a…
B. \( 94 \, \text{m}^2 \)
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multiple choice 20 points which coordinate corresponds to point \c\? ¿q…
\((-4, -4)\) (the option with \((-4, -4)\))
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point c lies on ab such that ac:bc is 1:2. graph c.
El punto \( C \) tiene coordenadas \( (-2, 4) \). Al graficar, se encuentra en la intersección de \( x = -2 \) y \( y = 4 \) en la grilla.
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which coordinate corresponds to point \e\? ¿qué coordenada corresponde …
\((-4,-4)\) (among the options, the correct one is the option with text "(-4,-4)")
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cartesian coordinate system 1 multiple choice 20 points which coordinat…
\boxed{(-4,-4)}
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which statements are true regarding undefinable terms in geometry? chec…
A. A point has no length or width B. A point indicates a location in a coordinate plane E. A plane consists of an infinite set of lines F. A line consists of an infinite set of po…
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the coordinates of the endpoints of \\(\\overline{pq}\\) are \\(p(3, 5)…
(6, 7)
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graph the points (0.5, −3.5) and (3.5, −2.5) on the coordinate plane. c…
The points \((0.5, -3.5)\) and \((3.5, -2.5)\) are graphed on the coordinate plane as described in the steps (0.5 units right on x - axis and 3.5 units down on y - axis for the fi…
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unit 1 summative (area/perimeter/volume/surface area a sphere has radiu…
Sphere, by 688.3 \( cm^3 \)
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directions - use the diagram below to find the following measures: gn i…
\( x = 6 \), \( \angle MGN = 24 \) degrees, \( \angle OGN = 24 \) degrees, \( \angle MGO = 48 \) degrees.
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3. dashed box 4. ( angle efg ) and ( angle gfh ) form a linear pair. 5.…
\( \angle EFG \) and \( \angle GHF \) are supplementary (by Definition of Supplementary Angles, using Substitution Property of Equality from previous steps to show their measures …
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directions - find the indicated angle measure. create an angle addition…
80
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directions – find the value of x, then find the measure of the indicate…
\( x = 6 \) \( m\angle NBS = 68 \) degrees
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6 directions - find the value of x, then find the measure of the indica…
$x = 5$; $m\angle KAM = 93$ degrees.
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using the graph, determine the coordinates of the y-intercept of the pa…
\((0, - 4)\)
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1. ∠gfh ≅ ∠ghf 1. given 2. 2. definition of congruent angles 3. 3. give…
# Explanation: ## Step 2: Apply congruent angles definition If \( \angle GFH \cong \angle GHF \), then \( m\angle GFH = m\angle GHF \) (by definition of congruent angles, congruen…
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name the property that the statement illustrates. if \\(\\overline{pq} …
Transitive
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using the compass and ruler, construct a congruent angle with vertex a.…
The congruent angle with vertex \( A' \) is constructed by following the steps of angle - construction using a compass and ruler as described above. The final constructed angle ha…
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$m\\angle 1 + m\\angle 2 = 90^\\circ$ | blank $m\\angle 2 = m\\angle 3$…
- First dashed box: Definition of complementary angles - Third dashed box (under Substitution): \( m\angle1 + m\angle3 = 90^\circ \) - Last dashed box: Definition of complementary…