Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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given right triangle abc with altitude \\(\\overline{bd}\\) drawn to hy…
90
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a rectangle has a length that is 5 inches greater than its width, and i…
$x = 8$ or $x = -13$; the valid solution for the situation is $x=8$ width = 8 inches length = 13 inches
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find the length of the third side. if necessary, round to the nearest t…
10.3
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find the length of the third side. if necessary, round to the nearest t…
19.5
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translate up (the chart is a coordinate grid with a triangle and some p…
$L(-3, 2)$, $L'(-3, 6)$ $J(2, -3)$, $J'(2, 1)$ $K(-5, -4)$, $K'(-5, 0)$
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find the length of the third side. if necessary, write in simplest radi…
10
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consider a triangle abc like the one below. suppose that a = 76°, c = 3…
\(B = 65^\circ\), \(a\approx83.3\), \(b\approx77.8\)
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what reflection of the parallelogram abcd results in the image abcd? is…
1. The reflection that maps ABCD to A'B'C'D' is across the vertical line $x=-1$. 2. Yes, the image is unique using only one reflection. 3. No, the image is not unique using one re…
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find the length of the third side. if necessary, write in simplest radi…
# Explicación: ## Paso 1: Aplicar el teorema de Pitágoras Sean los catetos $a=2\sqrt{14}$ y $b=9$, y la hipotenusa $c$. La fórmula es $c=\sqrt{a^2 + b^2}$. ## Paso 2: Calcular $a^…
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name: reflect across the x axis rotate 90° counter clockwise translate …
1. Reflected triangle points: \(A'(3, -2)\), \(B'(3, 6)\), \(C'(1, 6)\) 2. Rotated triangle points: \(X'(-3, -2)\), \(Y'(0, -6)\), \(Z'(0, 0)\) 3. Translated triangle points: \(J'…
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find the length of the third side. if necessary, write in simplest radi…
$2\sqrt{21}$
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true/false decide if each statement is true or false, and write \true\ …
true 2.
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which of the following statements must be true based on the diagram bel…
- \(\boldsymbol{\overline{OQ}}\) is a segment bisector. - \(\boldsymbol{Q}\) is the vertex of two angles that are congruent to one another.
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you are shown $\\angle cde$ below whose measure is $114^\\circ$. draw a…
\( \boldsymbol{\text{m}\angle CDE = 2(\text{m}\angle EDF)} \) (the option with this statement)
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you are shown $\\angle ghi$ below whose measure is $64^\\circ$. draw an…
A. \( 2(\text{m}\angle GHJ) = \text{m}\angle GHI \)
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find the cosine of ∠c. simplify your answer and write it as a proper fr…
\( \frac{48}{73} \)
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the right triangle below is dilated by a scale factor of 5. find the pe…
Perimeter of given right triangle: \(40\) units Area of given right triangle: \(60\) units² Perimeter of dilated right triangle: \(200\) units Area of dilated right triangle: \(15…
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question triangle bcd is dilated by a scale factor of \\(\\frac{1}{3}\\…
27
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estimate the solution of the system of equations.
\((2,-5)\)
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find the sine of ∠d. simplify your answer and write it as a proper frac…
$\frac{45}{53}$
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parallelogram qrst is dilated by a scale factor of 2 to form parallelog…
9
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quadrilateral ghij is dilated by a scale factor of \\(\\frac{3}{4}\\) t…
18
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3. find the measure of ( e^circ ). options: ( 159^circ ), ( 60^circ ), …
21° (Option: 21°)
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1. what is the perimeter of kite defg? 9 cm, 65°, 15 cm (description of…
48 cm
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what type of symmetry does each figure have? check all of the boxes tha…
1. Oval: line symmetry rotational symmetry 2. L-shape: no symmetry 3. Smiley face: line symmetry
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find the cosine of ∠x. write your answer in simplified, rationalized fo…
$\frac{\sqrt{1349}}{71}$? Wait, no, wait, wait, I think I made a mistake. Wait, $2\sqrt{13}$: let's square it again. $2\sqrt{13}\times2\sqrt{13}=4\times13 = 52$. $\sqrt{19}\times\…
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find the cosine of ∠x. write your answer in simplified, rationalized fo…
\(\frac{\sqrt{1349}}{71}\)
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calculate the surface area and volume of the rectangular prism. calcula…
s: - Rectangular Prism: Surface Area: \(342\) in² Volume: \(324\) in³ - Cube: Surface Area: \(61.44\) m² Volume: \(32.768\) m³ - Trailer: Volume (Space Inside): \(10710\) ft³
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what is the measure of ∠wzy? w x (23x - 4)° (8x - 1)° z 27° y © gina wi…
$76.5^\circ$
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a circular tablecloth has a diameter of 70 inches. max wants to add a d…
219.8 inches
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the circumference of a circle is $20\\frac{4}{35}$ cm. what is the appr…
$6.4$ cm
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a pizza has a diameter of 16 inches. what is the best approximation for…
50.2 inches (Option C)
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what is the exact circumference of a circle with a radius of 17 mm? 8.5…
C. $34\pi$ mm
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what is the exact circumference of the circle? 2π cm 4π cm 8π cm 16π cm
8π cm
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perimeter measuring 17 feet, 28 feet, and if cayla is laying a brick bo…
The length of the rod is \( 25\frac{7}{8} \) inches (or \( \frac{207}{8} \) inches).
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14. the area of a triangle is 52 square centimeters. if the base of the…
The height of the triangle is 8 centimeters. ### Question 16
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13. a rectangle has an area of 34.2 square meters. if the width of the …
The length of the rectangle is \( 7.6 \) (units as per the inconsistent units, but mathematically the value is \( 7.6 \)). ### Problem 15
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the segment below is dilated by a scale factor of 4 to form \\(\\overli…
92
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the segment below is dilated by a scale factor of 4 to form \\(\\overli…
10
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$\\overline{ij}$ is dilated by a scale factor of $\\frac{3}{4}$ to form…
30
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a figure containing $\\angle lmn$ is dilated by a scale factor of $\\fr…
$79^\circ$
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question \\(\\overline{de}\\) is dilated by a scale factor of 2 to form…
7
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draw the front, top, and side views of the figure.
To draw the views: ## Front View: Draw three vertical columns of squares. The left column has 4 squares, the middle column has 3 squares, and the right column has 2 squares (stack…
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identify the figure shown in the front, top, and side views.
The figure is a composite of unit cubes: a base row of 5 unit cubes (arranged in a line, depth = 1), and on the 4th unit cube (from the left) of this base row, 2 more unit cubes a…
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find the value of each variable. 10. 11. 12.
10. $x = 36$ 11. $n = 125$ 12. $x = 205$
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find the value of each variable 10. 11
Problem 10: $x = 36$ Problem 11: $n = 83.4$ Problem 12: The unknown angle is $150^\circ$
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the roof of a house is the shape of an isosceles right triangle as show…
A. 5 ft
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question 2 of 9 draw the figure shown in the front, top, and side views…
The 3D figure consists of a horizontal row of 5 cubes (in the bottom layer) with the middle (3rd) cube having 2 additional cubes stacked vertically on top of it, resulting in a st…
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rectangles r and s are similar. if the area of rectangle r is 154, what…
The area of rectangle S is \( 55.44 \).
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which fraction is represented on the number line below? options: $\frac…
$\frac{3}{5}$ (the option with $\frac{3}{5}$)
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2. the ratio of the measures of the sides of a triangle is 9:12:5. if t…
The side lengths are 45 feet, 60 feet, and 25 feet.
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topic 1: ratio & proportion 1. the ratio of the measures of the angles …
The measures of the angles are $96^\circ$, $36^\circ$, and $48^\circ$.
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9. ______ the language of the indo - aryans in the indus valley in whic…
9. b. Sanskrit 10. d. Sewage, Grid 11. d. Hinduism 12. d. No one knows for sure 13. c. Caste System 14. d. No 15. b. Brahmins 16. c. Dalits 17. c. Jainism 18. b. Buddhism
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determine a series of transformations that would map figure t onto figu…
Reflection over the x-axis followed by a translation (10 units right and 9 units up)
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determine the intercepts of the line. y-intercept: (\\square , \\square…
y-intercept: (0, 2) x-intercept: (3, 0)
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in the figure above, $rt = tu$. what is the value of $x$? a) 72 b) 66 c…
C) 64
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find the volume of each figure. round to the nearest tenth. 1) 2) 15 yd…
1) $\boldsymbol{15}$ yd³ 2) $\boldsymbol{10}$ mi³ 3) $\boldsymbol{15}$ yd³ 4) $\boldsymbol{3.1}$ km³ 5) $\boldsymbol{37.7}$ in³ 6) $\boldsymbol{8}$ m³ 7) $\boldsymbol{22.5}$ yd³ 8…
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find the lateral surface area of the cylinder. lsa =? cm² round to the …
\( 87.92 \)
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describe coles first encounter with what appears to be spirit bear. dis…
### Cole's First Encounter with Spirit Bear: Cole Matthews, exiled to an Alaskan island as part of Circle Justice, is roaming the woods when he spots a rare white Spirit Bear. Ove…
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type the correct answer in the box. the figure shows five polygons: abc…
KLMNO
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in quadrilateral abcd, ∠abc is a right angle and ab = 4 units. quadrila…
A. \(\overline{A'B'}\) is 8 units long and lies on the same line as \(\overline{AB}\)
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graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\). To draw it, plot these points and …
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select the correct answer. a triangular garden is to be split so that t…
D. 3m
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select the correct answer. a regular polygon has an exterior angle meas…
D. 12
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6. by law, the maximum slope of a wheelchair ramp is \\(\\frac{1}{12}\\…
Yes, this ramp meets the law. The slope of the ramp is \( \frac{4}{50}=\frac{2}{25}=0.08\), and the maximum allowed slope is \( \frac{1}{12}\approx0.0833\). Since \( \frac{2}{25}<…
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find the slope of the line. 1.
2
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current skill what is the value of x? 40 find the measure of angle 2. l…
Value of $x$: $40$ Measure of angle 2: $122^\circ$
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find tan (a) given the triangle. enter your answer as a fraction or as …
\(0.343\) (or \(\frac{12}{35}\))
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only a triangle can be the base of a pyramid. a. true b. false
B. False
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how many faces does a rectangular prism have? a. eight b. six c. seven …
B. Six
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what is another name for the height of a prism or a pyramid? a. base b.…
D. Altitude
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a ______ is a solid consisting of a square, a point not in the same pla…
C. square pyramid
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a ______ has cross - sectional shapes, taken parallel to a base, that a…
A. pyramid
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question 2 of 10 some polyhedrons are neither prisms nor pyramids. a. t…
A. True
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which of the following terms correctly describe the object below? check…
B. Polyhedron F. Pyramid
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many simple two - dimensional figures are described using ______ and __…
C. length, E. width
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a point has zero dimension. a. true b. false
A. True
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how many dimensions does a plane have? a. one b. zero c. three d. two
D. Two
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use a trigonometric ratio to solve for ( x ). round to two decimal plac…
\(x\approx5.81\)
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when the cartesian coordinate system is used to describe three - dimens…
A. x, C. y, D. z
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many simple three - dimensional figures are described using ____, ____,…
C. width, D. length, E. height
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question 5 of 10 a three - dimensional object cannot be built from two …
B. False
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question 4 of 10 which of the following is the standard notation for a …
B. \((x, y, z)\)
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question 3 of 10 to describe a solid in geometry, it suffices to have t…
B. False
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solve the compound inequality. use graphs to show the solution set to e…
1. Graph for $4(3-x) < -2$: A. (Open circle at 3.5, shading right) 2. Graph for $\frac{x-1}{4} \leq -1$: C. (Closed circle at -3, shading left) 3. Compound inequality solution: $\…
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question 2 of 10 which of the following geometric objects occupy two di…
C. Plane F. Triangle
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question 1 of 10 many rules concerning two - dimensional geometry have …
A. True
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the radius of the circle shown below is 7 inches. what is the approxima…
A. 16.5 in
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which type of arc measures exactly 180°? a. major arc b. semicircle c. …
B. Semicircle
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a pizza with a diameter of 24 inches is cut into 16 equal slices. to th…
A. $28\ \text{in}^2$
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which of the following best describes the circumference of a circle? a.…
A. The distance around the circle
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question 21 of 25 if the measure of a tangent - chord angle is 74°, the…
A. $148^\circ$
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question 20 of 25 in the diagram below, ⊙o is circumscribed about quadr…
D. 63
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question 19 of 25 if two chords are the same distance from the center o…
A. congruent
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if $\\angle abc$ measures $65^\\circ$, what is the measure of $\\overar…
D. $230^\circ$
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question 17 of 25 to the nearest square inch, what is the area of the s…
A. 116 in²
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question 16 of 25 a tangent - tangent angle intercepts two arcs that me…
A. $45^\circ$
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true or false? if a circle is circumscribed about a parallelogram, the …
A. True
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question 14 of 25 if $angle abc$ measures $90^circ$, what is the measur…
A. $90^\circ$
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point o is the center of the given circle. what is the measure of wideh…
A. $108^\circ$