Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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point a is at $(-8,7.5)$ and point b is at $(6,3.5)$. if point $m = (1 …
\(0.25\) (or \(\frac{1}{4}\))
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triangle xyz is the image of triangle xyz after the following sequence …
To graph \( \triangle XYZ \), plot the points \( X(3, 1) \), \( Y(9, 6) \), and \( Z(9, 2) \) on the coordinate plane and connect them. (Note: The process involves reversing trans…
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find the approximate perimeter of △abc plotted below. a(-4,1), b(-2,3),…
A. 20.0
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what solid 3d object is produced by rotating the triangle about line m?…
C. Hollow cone frustum
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a 144° rotation maps a polygon p onto itself. which of the following co…
D. a regular pentagon
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statement reason 1 \\(\\overline{ih} \\cong \\overline{gh}\\) given 2 \…
D. Holden used a criterion that does not guarantee congruence.
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triangle mno can be mapped to triangle mno by a rotation 90° counterclo…
Rotation: \((x, y)\to\boldsymbol{(-y, x)}\) Reflection: \((x, y)\to\boldsymbol{(-x, y)}\) (Wait, no, when we take the rotated point \((-y,x)\) and apply reflection over \(y\) - ax…
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what is the center of the circle? choose 1 answer: a ((-2, 3)) b ((-5, …
C. \((-4, 6)\) ### Second Question: What is its radius?
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this graph shows a rhombus with its center at the origin. select all of…
To solve this, we analyze each transformation: ### 1. Reflection across \( y = x \) - The rhombus has vertices (let's identify them: from the graph, vertices are \((-4,0)\), \((0,…
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pentagon defgh is the image of pentagon defgh under a reflection across…
Reflection: \((x, y) \mapsto \boldsymbol{(-x, y)}\) Translation: \((x, y) \mapsto \boldsymbol{(x, y + 4)}\)
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a certain circle can be represented by the following equation. $x^2 + y…
The center of the circle is \((2,-6)\) and the radius is \(8\) units.
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point a is at (-3, 4) and point c is at (2, -6). find the coordinates o…
\( (1, - 4) \)
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triangle uvw is the image of triangle uvw under a rotation 180° about t…
Rotation: \((x, y) \mapsto (-x, -y)\) Translation: \((x, y) \mapsto (x + 10, y + 3)\)
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quadrilateral (abcd) has the following vertices: - (a(-6, -2)) - (b(-4,…
C. No, because \(AB\) is not parallel to \(CD\).
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pentagon hijkl is the image of pentagon hijkl under a rotation about th…
Rotation: \( (x, y) \to \boldsymbol{(-x, -y)} \) Translation: \( (x, y) \to \boldsymbol{(x, y - 10)} \)
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vega wants to prove that the segment joining midpoints of two sides of …
D. In $\triangle EFG$, if $EH = HF$ and $EI = IG$, then $HI=\frac{1}{2}FG$.
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quadrilateral abcd is the result of dilating quadrilateral abcd about p…
True ### For the claim " $\boldsymbol{\overline{AB}}$ and $\boldsymbol{\overline{A'B'}}$ are both perpendicular to the $\boldsymbol{x}$-axis."
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a sequence of transformations is described below: - a reflection over a…
C. Both angle measures and segment lengths
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write the equation of a line that is perpendicular to $y = \\frac{7}{5}…
\( y = -\frac{5}{7}x-\frac{32}{7} \)
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in the figure below, \\(\\overline{ad}\\) and \\(\\overline{ce}\\) are …
47
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a circle is centered at ( h(4, 0) ) and has a radius of 10. where does …
B. On the circle
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consider this diagram of quadrilateral abcd, which is not drawn to scal…
a. \( m\angle DAB = 90^\circ \) c. \( \angle DAC\cong\angle BCA \)
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plot the image of triangle $\\triangle abc$ under a reflection across l…
To plot the reflection: 1. For each vertex \( A \), \( B \), \( C \) of \( \triangle ABC \), draw a perpendicular line to line \( \ell \) (which is horizontal here) passing throug…
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what is the volume of a cylinder with base radius 2 and height 9? eithe…
Exact answer: \( 36\pi \); Decimal answer: \( 113.04 \)
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i) what is the length of the hypotenuse? if necessary, round to the nea…
\(c\approx4.48\) meters (or \(c = 2\sqrt{5}\) meters)
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the following rectangular pyramid has a height of 2 units and a volume …
D. 54 cubic units
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what is the length of the hypotenuse? if necessary, round to the neares…
\(\approx3.6\)
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you might need: calculator a builder makes all of their ramps with a ba…
\( 9.63 \)
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what is the length of the missing leg? if necessary, round to the neare…
Approximately \(2.27\) inches (or more precise \(\sqrt{5.16}\) inches)
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what is the length of the hypotenuse? if necessary, round to the neares…
If we round to the nearest tenth, the length of the hypotenuse $c\approx5.9$ km. If we round to the nearest whole number, $c\approx6$ km. If we round to the nearest hundredth, $c\…
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inverse variation in each example, the constant of variation is unusual…
- Para \( E = mc^2 \): \( c^2 \) - Para \( V = \frac{4\pi r^3}{3} \): \( \frac{4\pi}{3} \) - Para \( V = \frac{1}{3}Bh \): \( \frac{1}{3} \) - Para \( c = d\sqrt{2} \): \( \sqrt{2…
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what is the length of the missing leg? if necessary, round to the neare…
\( \boxed{1.9} \) (or \( \boxed{2} \) if rounding to nearest whole, but 1.9 is more accurate to nearest tenth)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(2.3\)
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select the correct answer. which number line represents the solution to…
A. The number line with open circles at 18 and 24 and a red line between them (representing \(18 < x < 24\))
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which equation represents a line that passes through (-2, 4) and has a …
A. \(y - 4=\frac{2}{5}(x + 2)\)
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which equation shows the point - slope form of the line that passes thr…
B. \(y - 2=\frac{1}{3}(x - 3)\)
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what is the slope of the line represented by the equation $y = -\frac{2…
A. \(-5\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\( 8.9 \) (or \( \sqrt{80} \approx 8.9 \) if rounded to nearest tenth, or more precisely \( 4\sqrt{5} \approx 8.94 \))
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what is the length of the hypotenuse? if necessary, round to the neares…
90
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a circle representing a pool is graphed with a center at the origin. gr…
\(y = 4-\frac{x}{2}\) (the option: \(y = 4-\frac{x}{2}\))
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vera wants to graph a line that passes through (0, 2) and has a slope o…
A. \((-3, 0)\) D. \((3, 4)\) E. \((6, 6)\)
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line ab contains points a(4, 5) and b(9, 7). what is the slope of \\(\\…
\(\frac{2}{5}\) (corresponding to the option \(\boldsymbol{\frac{2}{5}}\))
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the graphs below shows some properties of regular polygons. when compar…
1 (corresponding to the option "1")
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are these shapes congruent? (image of two pentagons with labeled sides …
yes
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are these shapes similar? left trapezoid: c to d is 25 ft, d to e is 27…
no
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are these shapes congruent? (first quadrilateral: vertices p, o, n, m. …
no
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are these shapes congruent? (left quadrilateral: vertices j, i, h, g; j…
yes
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are these shapes similar? (left parallelogram: vertices a, b, c, d; sid…
yes
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are these shapes congruent? (left pentagon: vertices o, p, q, n, with o…
yes
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are these shapes congruent? two quadrilaterals with angle and side leng…
no
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are these shapes similar? (image of two rectangles: left rectangle has …
no
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are these shapes congruent? (image of two quadrilaterals: left one with…
no
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are these shapes similar? j 40 in k 25 in 25 in m 40 in l t 23 in u 40 …
no
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are these shapes similar? triangle ljk with sides lj = 41 in, lk = 41 i…
no
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consider the diagram. what is the length of segment ab? 7 18 9 25
9
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3 calcule le volume de ce cube. a) utilise la formule ( v = a_b cdot h …
a) The volume of the cube using $V = A_b \cdot h$ is $\boldsymbol{3375}$ cubic millimeters. b) The volume of the cube using $V = s^3$ is $\boldsymbol{3375}$ cubic millimeters.
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look at this shape: image of a trapezoid on a grid which image shows a …
B. The image labeled B
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for the parallelogram, if $m\\angle2 = 5x - 28$ and $m\\angle4 = 3x - 1…
163 (Option D) ### Question 9 (Parallelogram with 4 Congruent Sides and 4 Right Angles)
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6. describe the figure using as many of these words as possible: rectan…
D. quadrilateral, parallelogram ### Question 7
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3. which statement is true? all quadrilaterals are rectangles. a all re…
B. All rectangles are quadrilaterals. ### Question 4
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1. judging by appearance, classify the figure in as many ways as possib…
D. rectangle, square, quadrilateral, parallelogram, rhombus ### Question 2
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figure jklm is a rectangle, so m∠kjm = m∠klm = 90° and ∠kjc ≅∠mlc which…
Angles that are congruent are complementary to the same angle.
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two parallel lines are intersected by a third line so that angles 1 and…
They are supplementary.
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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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angle psr measures 99°. what is the measure of ∠psq in degrees? (3x + 1…
\(45^{\circ}\) (corresponding to the option "45°")
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what is the distance between points a and b? a is at -5, b is at 1. opt…
D. 6 units
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in the diagram, what is the measure of ∠wrs? 5° 7.5° 25° 37.5°
25° (Option: 25°)
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which is the line shown in the figure? ○ line xy ○ line xz ○ line wx ○ …
B. line XZ
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in which diagram do angles 1 and 2 form a linear pair?
The diagram with angles 1 and 2 that are adjacent and their non - common sides form a straight line (the second diagram among the two shown, the one with the right - angle - like …
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which undefined geometric term is described as an infinite set of point…
B. line
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given that \\(\\vec{eb}\\) bisects \\(\\angle cea\\), which statements …
The three true statements are: - \( m\angle CEA = 90^\circ \) - \( \angle CEF \) is a straight angle - \( \angle AEF \) is a right angle
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10 fill in the blank 2 points j there is a diagram with two parallel li…
\(21\)
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8 fill in the blank 2 points h (4x - 8)° 54° (5x - 19)° x = type your a…
For \(x\): \(\boldsymbol{11}\) For \(m\angle y\): Let's re - evaluate. If we consider that the angle \((4x - 8)^\circ = 36^\circ\), and the angle \(36^\circ\), \(54^\circ\), and \…
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8 fill in the blank 2 points h (4x - 8)° 54° (5x - 19)° x = type your a…
\(x = 11\), \(m\angle y = 36^\circ\)
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c (7x + 11)° y (16x - 38)° x = type your answer... m<y = type your answ…
\( x = 9 \) \( m\angle y = 106^\circ \)
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given: ∠1 and ∠2 are supplements, ∠3 and ∠4 are supplements, and ∠1 ≅ ∠…
To prove \(\angle2\cong\angle3\), we follow these steps: | Statements | Reasons | | --- | --- | | 1. \(m\angle1 + m\angle2 = 180\) | 1. \(\angle1\) and \(\angle2\) are supp. (Defi…
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given: ∠1 and ∠2 are complements, ∠2 and ∠3 are complements, and m∠1 = …
First dropdown: Complements of the same angle are congruent (or Congruent Complements Theorem) Second dropdown: congruent Third dropdown: substitution Fourth dropdown: 35
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what is the value of y? y = find the following angle measures m∠jkm = °…
\( y = 10 \) \( m\angle JKM = 106^\circ \) \( m\angle MKL = 74^\circ \)
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drag the tiles to match the behavior of the graph of a function with th…
| Behavior of Graph | Slope | |-------------------|----------------| | increasing | positive slope | | decreasing | negative slope | | constant | zero slope |
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find the following angle measures. m∠ead = 90° m∠cab = 119°
s: \( m\angle EAD = \boxed{90}^\circ \) \( m\angle CAB = \boxed{119}^\circ \)
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find the slope of the line through the points (5, 1) and (5, 3). 2 5 0 …
Undefined (the option with "Undefined" text)
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the coordinates of two points on a line are (-6, 5) and (3, -2). find t…
\(-\frac{7}{9}\) (corresponding to the option with \(-\frac{7}{9}\))
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given the slope \\(\\frac{2}{3}\\) and the initial point (1,3), graph t…
The graph (the one with the line that has a positive slope, passes through \((1,3)\) and has a y - intercept of \(\frac{7}{3}\)) is the correct graph. (Since the graph is shown wi…
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given the slope $\frac{-3}{4}$ and the initial point (1,-3), what would…
B. (5, -6)
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the coordinates of two points on a line are (-3, 7) and (1, 0). find th…
\(-\frac{7}{4}\) (corresponding to the first option: \(-\frac{7}{4}\))
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find the product. then list the degree. circle b if it is a binomial, t…
Product: \(-x^5 - 2x^4 + 2x^3 + 4x^2\) degree = \(5\) Circle: P ### Problem 2: \((2x^2 + 11)(2x^2 - 11)\)
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using the intercept points, graph the boundary line for $2x - 3y < 6$ w…
The correct graph is the one with a dashed line passing through \((3, 0)\) and \((0, -2)\) (since the boundary \(2x - 3y = 6\) is dashed for \(2x - 3y < 6\) and connects these int…
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v. संख्या वारे शब्दांत: (1 - 50) vi. मायागण नाम संस्कृते लिखु? maths 1.…
45
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4. o is the centre of this circle and point a is a point of tangency. d…
\(b\approx23.2\)
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1. o is the centre of this circle and point t is a point of tangency. d…
\(55^\circ\)
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question 7 of 40 the cute cupcake company is having a sign made. the si…
B. 2.70 m²
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question 6 of 40 the surface area of the cylinder found below is 8792 c…
B. 50 cm
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select the correct answer. what is the equation of a parabola with a fo…
\(y = -\frac{1}{16}(x + 6)^2+4\) (the first option among the given options)
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there is a coordinate grid with x and y axes. there are some black line…
10
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the width of a rectangle measures (2d + 8) centimeters, and its length …
\( 18d + 12 \) (corresponding to the option "18d + 12")
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the width of a rectangle measures $(4x + 6)$ centimeters, and its lengt…
D. \( 22 + 24x \)
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the area of a rectangle is $21\\ \\text{in}^2$. the length is 2 times t…
7
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there is a number line with a mark at 12, an arrow pointing left labele…
\( -7 \)
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the area of a rectangle is 20 cm². the length is 8 more than the width.…
\(w = 2\)
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the area of a rectangle is $16\\ \\text{in}^2$. the length is 3 times t…
The width is \(2\) inches.