Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the area of a regular hexagon with an apothem of 1.7 cm and a side…
$10.2$
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directions answer the question below to check your understanding and mo…
Over the line $y = 0$
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dave uses milk from goats on his farm to make soap. he can fit two bars…
6
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read the passage from sugar changed the world. if you walked down beekm…
"Africans who sold other Africans as slaves insisted on being paid in fabric from India"
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find the value of x.
\(32^{\circ}\)
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what is the value of k?
$26^{\circ}$
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which angles are complementary to each other? ∠4 and ∠2 ∠4 and ∠1 ∠5 an…
# Explicación: ## Paso 1: Definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es igual a 90°. En la figura, se ve que ∠3 y ∠4 forman un…
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which angle is vertical to ∠4? ∠5 ∠3 ∠1 ∠2
∠2
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directions: find the coordinates of the midpoint of the segment given i…
6. $(2,2)$ 7. $(-3.5,8)$ 8. $(0,-6)$ 9. $(-3,-0.5)$
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solve for c. c =? pythagorean theorem: a² + b² = c² round your answer t…
$12.21$
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graph the line y = - 2.
Draw a horizontal line passing through the point $(0, - 2)$ on the $y$-axis. The line extends infinitely in both the positive and negative $x$-directions.
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you start at (6, 3). you move left 6 units. where do you end?
$(0,3)$
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for the figure below, give the following. (a) one pair of vertical angl…
(a) $\angle1$ and $\angle3$ (b) $\angle1$ and $\angle2$ (c) $\angle5$ and $\angle6$
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what is the slope of this line? simplify your answer and write it as a …
$\frac{3}{2}$
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what is the slope of this line?
$\frac{3}{2}$
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the diagram shows a triangle. what is the value of c? c = □°
31
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use the image below to find the requested values. find the measure of ∠…
$(d + 43)^{\circ}$
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write the equation of the line in fully simplified slope - intercept fo…
$y=x - 5$
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identify a pair of segments that are marked perpendicular to each other…
Segment FL and segment FI
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is found using the formula $m = \frac{\text{rise}}{\text{run}}$. After identifying two points on the line and calculating the vertical and horizontal changes…
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what are the coordinates of point v?
(-1, -5)
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read the passage from sugar changed the world. one of these early hindu…
"sugar cane was now an ingredient in ceremonies involving fire", "Perhaps that transformation itself seemed magical", "sugar cane is called ikshu, which means 'something that peop…
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what are the coordinates of point x?
(2, 2)
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what is the measurement of this angle?
20 grados
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what is the length of x?
5
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what is the length of the x - component of the vector plotted below? a.…
C. 0
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write an equation in slope - intercept form of the line. (use integers …
\(y=\frac{1}{4}x + 5\)
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the midpoint of $overline{ab}$ is $m=(3, - 6)$. one endpoint is $a=(8, …
$(-2,-8)$
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find the surface area and volume of the solid. round each measure to th…
surface area: $768$ ft² volume: $1024$ ft³
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andre drew a plan of a courtyard at a scale of 1 to 60. on his drawing,…
D. 165 in. and 13.75 ft
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use the diagram to the left to answer questions 9 and 10. 9. if (mangle…
$122^{\circ}$
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find the standard form of the equation of the circle with endpoints of …
$(x - 3)^2+(y - 5)^2=37$
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draw the image of △abc under the translation (x,y)→(x - 6,y - 7).
Plot points \(A'(-2,-3)\), \(B'(1,-7)\), \(C'(-4,-5)\) and draw \(\triangle A'B'C'\)
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activity 1 multiply the decimal numbers together. choose the correct an…
## Activity 1 1. a. 0.72 2. b. 0.0050 3. a. 0.15 4. c. 2.40 ## Activity 2 1. 0.6 2. 0.0029 3. 0.378 4. 0.1 5. 0.008 6. 1.25 ## Activity 3 No definite answer due to lack of graph d…
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given m||n, find the value of x.
\(x = 58\)
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refer to the figure. does line n intersect line q? explain.
Sí, las líneas \(n\) y \(q\) se intersectan porque están en el mismo plano y no son paralelas.
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which transformation would result in the same image as a composition tr…
B. a 180 - degree rotation
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quadrilateral i is a scaled copy of quadrilateral h. what is the value …
\(93\)
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polygon l is a scaled copy of polygon k. what is the value of j?
\(0.3\)
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△abc is the image of △abc under a rotation about point p. determine the…
B. 90° counterclockwise, D. 270° clockwise
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now, record the coordinates of points a, b, and c, the image of points …
A': (1,4) B': (-1,0) C': (4,0)
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when the value of the slope gets bigger, the graph of a line gets a. le…
D. steeper
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question 2 of 10 what happens to a line when the y - intercept is chang…
A. As the y - intercept increases, the graph of the line shifts up; E. As the y - intercept decreases, the graph of the line shifts down
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if h = 8.1 inches and k = 9 inches, what is the approximate measure of …
B. $26^{\circ}$
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triangle abc is given. if cos(a) = 12/13, what is sin(b)? a. 12/13 b. 5…
A. \(\frac{12}{13}\)
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13.) ∠jkl = 60°, jk = 9, and kl = 6.7. find the length of jl. round to …
# Explicación: ## Paso 1: Aplicar la ley de los cosenos La ley de los cosenos para un triángulo con lados \(a\), \(b\), \(c\) y ángulo \(C\) opuesto al lado \(c\) es \(c^{2}=a^{2}…
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solve the given right triangle for its missing angle and side measures.…
A. $m\angle D = 55^{\circ}, DE\approx8.40$ units, $DF\approx14.65$ units
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12.) ∠yxz = 58°, xz = 4, and xy = 7.5. find the length of yz. round to …
# Explicación: ## Paso 1: Aplicar la ley de los cosenos La ley de los cosenos para $\triangle XYZ$ es $YZ^{2}=XY^{2}+XZ^{2}-2\cdot XY\cdot XZ\cdot\cos(\angle YXZ)$. Sustituimos $X…
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11.) if xz = 18, yz = 22, and xy = 33, find the measurement of ∠xyz. * …
# Explicación: ## Paso 1: Aplicar la ley de los cosenos La ley de los cosenos para un triángulo con lados \(a\), \(b\), \(c\) y el ángulo \(\theta\) opuesto al lado \(c\) es \(c^{…
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10.) find the measurement of ∠yxz. round to the nearest tenth of a degr…
# Explicación: ## Paso 1: Aplicar la ley de cosenos La ley de cosenos para un triángulo con lados \(a\), \(b\), \(c\) y el ángulo \(\theta\) opuesto al lado \(c\) es \(c^{2}=a^{2}…
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9.) find the measurement of lm. round to the nearest tenth. 10.) find t…
# Explicación: ## Paso 1: Aplicar la ley de los cosenos La ley de los cosenos para un triángulo con lados \(a\), \(b\), \(c\) y el ángulo \(C\) opuesto al lado \(c\) es \(c^{2}=a^…
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classify these similar triangles as an example of aa similarity, sss si…
C. Not similar
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the equation of a circle is given below. identify the radius and center…
Radius: $2$ Center: $(2,-3)$
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8.) find the measurement of ∠xzy. round to the nearest tenth of a degre…
# Explicación: ## Paso 1: Aplicar la ley de cosenos La ley de cosenos para un triángulo con lados \(a\), \(b\), \(c\) y el ángulo \(C\) opuesto al lado \(c\) es \(c^{2}=a^{2}+b^{2…
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lets chat- parallel vs. perpendicular parallel: keep the slope, change …
The lines passing through $(-4,1),(-3,-2)$ and the line passing through $(-2,1),(-1,-2)$ are parallel because they have the same slope ($m = - 3$).
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en la figura mostrada a continuación, l || m. hallar x. 101° x° 50°
$x = 29$
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en la figura mostrada a continuación, l || m. hallar x. 33° 67° x =
\(80\)
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a new road that connects uniontown to springville is 4 1/3 miles long. …
$4\frac{7}{24}$
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en la figura mostrada a continuación, l || m. hallar x.
$45$
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en la figura mostrada a continuación, l || m. hallar x. 39° 93° x° x =
$x = 48$
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transformation rule: when translation is based on the vector <a, b>, th…
$(x + a,y - b)$
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transformation rule: when translation is based on the vector (a, b), th…
\((x + a,y + b)\)
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question: abbot tools is designing a new toolbox. the length of the too…
28.5 inches
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lets chat- parallel vs. perpendicular parallel: keep the slope, change …
The lines passing through $(-4,1)$ and $(-3,-2)$ and the line passing through $(-2,1)$ and $(-1,-2)$ are parallel because they have the same slope ($m=-3$).
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9. solve for x setup: x=
Setup: $3x = 60$ $x = 20$
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using bcde. if de = 3 cm and be = 3 cm, what is the smallest diameter o…
C. $4.24$ cm
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8. solve for m∠cbd and m∠cbv setup: x= m\\angle{cbd}= m\\angle{cbv}=
setup: $(9x - 2)+(20x + 5)=180$ $x = 6$ $m\angle CBD=52^{\circ}$ $m\angle CBV=125^{\circ}$
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has partially completed the construction, as shown below. what should b…
Use the compass to find the perpendicular bisector for side DF.
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below is the final image points b a t after going through a translation…
B (-7,-12) A (8,-2) T (9,13)
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is circumscribed about the candy bar. if $overline{ad}=3$ cm, what is t…
C. 5 cm
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point d is the incenter of triangle bca. if m∠fdg = 128°, what is the m…
$64^{\circ}$
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a city bus has a wheelchair ramp. when the bus is raised so that the do…
2.3 feet
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quadrilateral abcd has been through a translation of (x,y)→(x + 4,y - 7…
$(-1,2)$
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practice with functions and transformations/translations/reflections se…
A. (1,4)
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apex grocery wants to build a warehouse that is equidistant from its th…
Construction Y, because the point \(E\) is the circum - center of \(\triangle LMN\) and the circum - center of a triangle is equidistant from its vertices.
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to go from the pre - image △abc to △abc the image, what would be the co…
\((x,y)\to(x + 4,y-1)\)
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question 2 of 5 select the correct answer from the drop - down menu. wh…
41
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in the picture to the right, the bottom shape (pre - image) has been tr…
$(x,y)\to(x,y + 6)$
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noah is baking a two - layer cake, in which the bottom layer is a circl…
$\overline{AB}=\overline{AC}$ because their arcs are congruent; therefore, $\triangle ABC$ is an isosceles triangle.
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how many degrees of rotational symmetry does this octagon have that wou…
45 degrees
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quadrilateral cdef is inscribed in circle a. if m∠c = 9x° and m∠e = 7x …
\(81^{\circ}\)
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how many lines of symmetry (if any) does this figure have and what is t…
1 line of symmetry and NO Rotational symmetry
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if (mangle ihj) is (42^{circ}), what is (mangle ijh? 45^{circ} 48^{circ…
B. $48^{\circ}$
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7. solve for m∠t setup: x= m∠t =
setup: $(6x - 6)+(7x + 1)+55=180$ x = 10 $m\angle T=54^{\circ}$
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question 5 (multiple choice worth 1 points) (07 02r mc) what is the fir…
D. Construct the angle bisector of angle Y.
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if (mangle fcd=(2x + 5)^{circ}) and (mangle fed=(3x - 10)^{circ}), what…
C. 37
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8. find ln and nq. ln = ____________ nq = ____________
\(LN = 12\), \(NQ = 2\)
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given the description of the following triangles classify each one a. t…
a. Obtuse, Isosceles b. Right, Scalene c. Acute, Scalene
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6. which angle is adjacent to ∠6? 7. which angle is vertical to ∠3? 8. …
6. ∠1 7. ∠5
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9. a museum is designing a new exhibit about space composed of a right …
The surface area of the hemisphere is $578\pi$. The height of the cylinder is $34$.
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use the exterior angle theorem to solve for x x=
$121$
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use the exterior - angle theorem to solve for x
$87$
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3.1 the cartesian coordinate system extra practice (test 2 sections) 1)…
A: (-2,4) is plotted as described. B: (0,-7) is plotted as described. C: (2,-4) is plotted as described. D: (0,5) E: (0,0) F: (8,-1)
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name each figure below 1. 4. give another name for plane n. 5. classify…
1. Ray $\overrightarrow{HW}$ 4. Plane $BCD$ 5. Obtuse 6. $\angle{5}$ 7. $\angle{6}$ 8. $LN = 2$, $NQ = 6$
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find the value of x and yz if y is between x and z. xy = 12, yz = 2x, a…
$x = 8$ $YZ = 16$
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find the midpoint of the line segment with the given endpoints. (10,6) …
$(9,5)$
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what are the numerical measures of each angle in the diagram? ∠1 and ∠3…
∠1 and ∠3 measure 29 degrees. ∠2 and ∠4 measure 151 degrees.
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find the value of c and yz if y is between x and z. xy = 5.5, yz = 2c, …
$c = 1.7$; $YZ = 3.4$
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4. solve for x. setup: x=
\(x = 4\)
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find the value of a and yz if y is between x and z. xy = 7a, yz = 5a, x…
# Explicación: ## Paso 1: Aplicar la propiedad de segmentos Como $Y$ está entre $X$ y $Z$, entonces $XY + YZ=XZ$. Sustituimos los valores dados: $7a + 5a=6a + 24$. ## Paso 2: Simp…