Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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look at this shape: image of a triangle on a grid which image shows a r…
B
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look at this shape: image of a green l - shaped figure on a grid which …
B
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look at this shape: image of a green triangle on a grid which image sho…
B
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question 6 (multiple choice worth 1 points) (04.03 mc) find the perimet…
First, we find the coordinates of each vertex: - \( P(-1, 11) \) - \( Q(-4, 5) \) - \( R(2, 0) \) - \( S(1, 7) \) - \( T(8, 7) \) Now, we calculate the distance between each conse…
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find the surface area of the cone below. leave your answer in terms of …
\( 138 \)
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question convert the angle ( \frac{7pi}{3} ) radians to degrees. answer…
\( 420^\circ \)
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look at the diagram and evaluate. which of the statements below is fals…
\( MO > LO \)
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the diagram shows a triangle. what is the value of u? write your answer…
\(56.3\)
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find the measure of the missing angles.
x = \boxed{31}, y = \boxed{149}
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find the volume of the rectangular prism. 7 cm, 9 cm, 3 cm v = ? cm³
\( 189 \)
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a scale drawing for an apartment is shown below. in the drawing, 1 cm r…
2400
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which point is the center of the circle? ○ point w ○ point x ○ point y …
point X
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the figure below has a point marked with a large dot. first, reflect th…
Point in original figure: \((-7, 5)\) Point in final figure: \((7, 5)\)
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draw the image of the following triangle after a dilation centered at t…
The dilated triangle has vertices at (3, 4), (2, 6), and (4, 6) (plotted on the grid as per the dilation rules).
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write the coordinates of the vertices after a reflection over the line …
\( T'(-6, 3) \), \( U'(0, 3) \), \( V'(-8, 5) \) Wait, but maybe the original coordinates are different. Let's re-express: Wait, looking at the graph again: - \( U \): x=3, y=0 (c…
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in the diagram below, ⊙o is circumscribed about quadrilateral abcd. wha…
D. 106
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arc cd is $\\frac{1}{4}$ of the circumference of a circle. what is the …
\(\frac{\pi}{2}\) radians (corresponding to the option " \(\boldsymbol{\frac{\pi}{2}}\) radians")
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select the correct answer from each drop - down menu. given: ( ux = wz …
The first error is in Step 6. The reason “Subtraction property of equality” is incorrect; the correct reasoning requires substituting \( VW = XY \) (from Step 5) into the equation…
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classify each figure as a line, ray, or line segment. then, show how to…
s: (a) Type: ray; How to write it: \( \overrightarrow{RS} \) (b) Type: line segment; How to write it: \( \overline{OP} \) (c) Type: line; How to write it: \( \overleftrightarrow{T…
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name the marked angle in 2 different ways.
$\angle A$, $\angle WAX$ (or $\angle XAW$)
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find the area. simplify your answer:
The area of the triangle is \( x^{2}+3x \).
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use the compass and straightedge to construct a segment congruent to \\…
To construct a segment congruent to \(\overline{WX}\) with endpoint \(P\): 1. **Measure \(\boldsymbol{\overline{WX}}\):** Open the compass so the needle is at \(W\) and the pencil…
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the figure below is dilated by a factor of 3 centered at the origin. pl…
The dilated triangle has vertices at \( (-6,0) \), \( (9,0) \), and \( (0, -6) \). To plot the image, mark these three points on the coordinate grid and draw the sides between the…
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
\( 140 \)
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point k is on line segment \\(\\overline{jl}\\). given \\(kl = 5\\) and…
\( 12 \)
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for the figure below, give the following. (a) one pair of angles that f…
s: (a) \(\angle 1\) and \(\angle 2\) (or other valid linear pair like \(\angle 2\) & \(\angle 3\), etc.) (b) \(\angle 1\) and \(\angle 3\) (or other valid vertical pair like \(\an…
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find the standard equation for the circle having the given center and r…
\(x^2 + y^2 = 81\)
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for the following figure, complete the statement for the specified poin…
neither collinear nor coplanar
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name the marked angle in 2 different ways.
\( \angle QPO \) \( \angle P \) (or \( \angle OPQ \))
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triangle ghj is graphed on a coordinate plane. the transformations list…
B. triangle B
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7. find the distance between the two points using the pythagorean theor…
A. \(5\sqrt{2}\)
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the diagram was constructed with straightedge and compass tools. points…
A line segment that is half the length of \( CD \) is \( \boldsymbol{CB} \) (or \( BD \), \( AE \)). We know this because the diagram is constructed with a compass, so the radii o…
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question name the figure below in two different ways. symbol: and (imag…
\(\overline{DI}\) and \(\overline{ID}\) (or also, if considering the point R, but the most common two - way naming for a line segment with endpoints D and I is using the two endpo…
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classify each figure as a line, ray, or line segment. then, show how to…
Type: line; How to write it: \( \overleftrightarrow{CD} \) ### Part (b)
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hannah graphs a right triangle as shown, and then she applies the trans…
3 units
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point r is on line segment \\(overline{qs}\\). given \\(qs = 2x + 2\\),…
1
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problem 2 points d and e are plotted on the coordinate plane. plot the …
| Point | Coordinates | |-------|-------------| | \( D' \) | \( (3, 3) \) | | \( E' \) | \( (-5, 0) \) |
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for the figure below, give the following. (a) one pair of vertical angl…
s: (a) Vertical angles: \( \angle 1 \) and \( \angle 3 \) (or other valid vertical angle pairs like \( \angle 2 \) and \( \angle 4 \), \( \angle 5 \) and \( \angle 7 \), \( \angle…
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name the figure below in two different ways.
$\overrightarrow{TH}$ and $\overrightarrow{TF}$ (or "Ray TH" and "Ray TF")
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: Line, Write: $\overleftrightarrow{CD}$ (b) Type: Ray, Write: $\overrightarrow{EF}$ (c) Type: Line Segment, Write: $\overline{BA}$
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graph the image of v(-5, -1) after a rotation 270° counterclockwise aro…
The image of \(V(-5,-1)\) after a \(270^\circ\) counterclockwise rotation around the origin is the point \((-1,5)\). To graph it, plot the point with \(x\)-coordinate \(-1\) and \…
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11 triangle abc was rotated about the origin to create triangle abc. wh…
A. A 90° counterclockwise rotation C. A 270° clockwise rotation E. \( (x, y) \to (-y, x) \)
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16) ( mangle fuv = x + 55 ), ( mangle tuf = 90^circ ), and ( mangle tuv…
\( 145^{\circ} \)
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determine the slope of the line shown on the graph. type your answer in…
\(\frac{1}{4}\)
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4 pentagon a is graphed on the coordinate grid. pentagon a will be tran…
To graph Pentagon B, take each vertex of Pentagon A, apply the transformation \((x,y)\to(x + 5,y - 2)\) (move 5 units right and 2 units down), and then plot and connect the new ve…
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15) ( mangle deb = x + 44 ), ( mangle def = 76^circ ), and ( mangle bef…
\( x=-9 \)
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which model shows the number of ounces of dough in each banaha?
The top model (first one) shows the number of ounces of dough in each banana. (Assuming the context is dividing a certain amount, and the first model's number line and rectangle c…
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13. if b is the midpoint of \\(\\overline{ac}\\), and \\(ac = 8x - 20\\…
26
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oscar has a map of the campground where he is staying. the scale shows …
(Part 1: Multiplier): $\frac{1}{2}$
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given that the pair of triangles is similar, find the length x. (let a …
\( 6 \)
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oscar has a map of the campground where he is staying. the scale shows …
- The number to multiply each map length by: $\frac{1}{2}$ - The actual distance from campsite to general store: $\frac{3}{2}$ miles (or 1.5 miles)
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14) find x if m∠cde = 160°, m∠jde = x + 108, and m∠cdj = x + 68.
$x = 12$
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which venn diagram correctly describes the relationship between the int…
The Venn diagram with $N$ as a small circle inside $I$, labeled "because all natural numbers are integers".
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the scale drawing shows the dimensions of a motel. the scale is shown i…
- The number to multiply each length in the scale drawing by to find the actual length is \( 5 \). - The actual length of the east side of the motel is \( 10 \) yards.
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the graph shows pentagons abcde and abcde. which of the following trans…
translation right 13 units and up 11 units
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the scale drawing shows the dimensions of a motel. the scale is shown i…
The actual length of the east side is \( 10 \) yards, and the number to multiply each drawing length by is \( 5 \).
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13) find m∠edz if m∠zdc = 56° and m∠edc = 170°.
\( 114^\circ \)
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the graph shows triangles fgh and fgh. which of the following transform…
translation right 9 units and up 7 units
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coach hernández made a scale drawing of the school gym. the scale of th…
The actual length of the north side of the gym is 90 feet. The number to multiply each length in the scale drawing by is 10.
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5 multiple choice 1 point note: figure not drawn to scale. for the tria…
\(\sqrt{21^{2}-6^{2}}\)
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which of the following transformations maps uvw onto uvw? translation r…
translation right 2 units and up 12 units
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the graph shows squares fghi and fghi. which of the following transform…
translation right 6 units and up 12 units
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give the coordinates for rectangle defg with vertices d(-2, 7), e(2, 3)…
### Part a) Translation along the rule \((x, y) \to (x + 6, y - 8)\) #### For point \(D(-2, 7)\): ## Step 1: Apply translation to \(x\)-coordinate Add 6 to the \(x\)-coordinate: \…
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in triangle cde, the measure of angle c is ( x^circ ). the measure of a…
The expression for the measure of Angle \(E\) is \((140 - x)^\circ\) (or equivalent simplified form, e.g., \(180 - x - 40\) before simplification).
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the length of the edge of a cube is 5x feet. determine the volume, in f…
The volume of the cube is \( 125x^3 \) cubic feet.
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find the area of each figure. 1. 17 in. 5 in. 2. 10 m 3. 20 m 7 m find …
The area of the rectangle is \( 85 \, \text{in}^2 \). ### Problem 2: Area of Square
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the graph shows parallelograms cdef and cdef. which of the following tr…
translation left 14 units
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the graph shows pentagons pqrst and pqrst. which of the following trans…
A translation 13 units to the left and 3 units down (or equivalent vector - based description of the shift).
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9. if ( overline{lk} cong overline{mk} ), ( lk = 7x - 10 ), ( kn = x + …
\(46\)
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a regular octagon (with congruent side markings) has one side labeled 5…
The perimeter of the regular octagon is 40 feet.
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graph the image of the triangle below using a scale factor of k=\\frac{…
To solve this, we first need the coordinates of the original triangle's vertices. Let's assume the grid has each square as 1 unit. Let's find the coordinates: - Let's assume the o…
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12) ( mangle prq = 80^circ ) and ( mangle srp = 82^circ ). find ( mangl…
$162^\circ$
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find the perimeter of each polygon. 1
The perimeter of the regular hexagon is \( 72 \, \text{cm} \).
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-1/1 points given that the pair of triangles is similar, find the lengt…
\( y = 24 \)
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13) through: (-5, 3) and (1, -3)
The equation of the line is \(y=-x - 2\) (or \(x + y=-2\))
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find the perimeter of each polygon. 1. image of a regular hexagon with …
72 cm
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11) ( mangle tbc = 80^circ ) and ( mangle abt = 99^circ ). find ( mangl…
\( 179^\circ \)
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latasha wants her vegetable garden to have an area of 48 square feet. s…
2 feet by 24 feet
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graph the image of △tuv after a reflection over the x-axis.
The image of \( \triangle TUV \) after reflection over the x - axis has vertices \( T'(-4, 6) \), \( U'(4, 6) \), and \( V'(-3, 8) \). (The graph should have these three points co…
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halla el área de un rectángulo con largo de 4 pies y ancho de 3 pies. o…
12 pies²
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graph the image of rectangle klmn after a rotation 180° clockwise aroun…
The image of rectangle \( KLMN \) after a 180° clockwise rotation around the origin has vertices at \( K'(0, 10) \), \( L'(-1, 10) \), \( M'(-1, 3) \), and \( N'(0, 3) \). (To gra…
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10) ( mangle stu = 64^circ ) and ( mangle stf = 22^circ ). find ( mangl…
$42^\circ$
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19) halla el área del siguiente cuadrado. 10 cm image of a green square…
d) $100\ \text{cm}^2$
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13. identify the linear pair(s) that include ∠1. 14. identify the linea…
To solve these problems, we need a diagram showing the angles (like a transversal with parallel lines, intersecting lines, etc.) to identify linear pairs. A linear pair of angles …
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***leave all of your answers in simplified radical form.*** 1. fill in …
If the diagonal length is \(L\), then \(p=\boldsymbol{L}\) (or \(-L\), depending on direction). (Note: The problem statement for question 4 is incomplete, so this is a general sol…
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what is the scale factor from the original figure to the scaled copy? o…
The scale factor is 4, and the unknown length in the scaled copy is 24.
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identifica el siguiente triángulo como acutángulo, obtusángulo o rectán…
Acutángulo
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a flagpole is tilted at an angle of 7° from the vertical and toward the…
The length of the flagpole is approximately \(\boldsymbol{9.8}\) m, so the answer is correct.
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9) ( mangle ghr = 22^circ ) and ( mangle rhi = 130^circ ). find ( mangl…
\( 152^\circ \)
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graph the image of the quadrilateral below using a scale factor of k = …
B' (1, 3) C' (4, 2) D' (3, 1) E' (1, 1)
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32. recreation suppose you can ride a bicycle a distance of 5 mi in 15 …
The wheels' approximate rate of turn is \(\boxed{249}\) rpm (the value may vary slightly depending on the approximation of \(\pi\) used, for example, if \(\pi\approx\frac{22}{7}\)…
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8) ( mangle kij = 126^circ ) and ( mangle hij = 154^circ ). find ( mang…
\( 28^\circ \)
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give the new coordinates for dilating graph the image of the rectangle …
\(J'(-10, 5)\) \(K'(-5, 10)\) \(L'(5, 0)\) \(M'(0, -5)\) (Note: If the original coordinates differ due to the grid, adjust the calculation. The key is applying \( (x', y')=(k\cdot…
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the perimeter of an equilateral triangle is 15 inches more than the per…
13 inches
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obtuse angle name each angle in four ways. 5) diagram of angle with poi…
\( \angle G \), \( \angle 5 \), \( \angle HGF \), \( \angle FGH \) ### Problem 7: Naming the Angle (Angle at \( K \) with sides \( KJ \) and \( KL \), and label \( \angle 5 \))
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find the value of x using the figure, shown to the right. the value of …
18 To solve for \( x \), we recognize that the two angles \( 3(x + 7)^\circ \) and \( 69^\circ \) are corresponding angles (since the lines are parallel and cut by a transversal),…
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graph the image of the triangle below using a scale factor of k = 4. im…
To solve this, we first need the coordinates of the original triangle's vertices \( S \), \( T \), and \( U \) from the graph. Let's assume (from typical grid problems) the origin…
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1-5. on the graph, graph line mu for m(-1, 1) and u(4, 5). a. calculate…
Slope: $\frac{4}{5}$, Equation: $y = \frac{4}{5}x + \frac{9}{5}$ ### 1-5 b)
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name each angle in four ways. 5) diagram with vertex g, ray gh (with po…
The four ways to name the angle are \( \angle G \), \( \angle HGF \), \( \angle FGH \), \( \angle 5 \)
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give the new coordinates for dilating trapezoid defg with vertices d(-5…
\(D'(-1, 3)\) \(E'(2, 2)\) \(F'(2, 1)\) \(G'(-1, 0)\)