Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question find the length of the third side. if necessary, write in simp…
\(8\)
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find all transformations that can be used to map the figure onto itself…
a rotation of \(180^{\circ}\)
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question find the length of the third side. if necessary, write in simp…
\(3\)
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find the length of the third side. if necessary, write in simplest radi…
\(4\)
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find the length of the third side. if necessary, write in simplest radi…
\(6\)
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a parabola can be drawn given a focus of $(6, -7)$ and a directrix of $…
\( (x - 6)^2=-8(y + 5) \)
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2 5 cm 9 cm 4 cm 2 cm p = a =
\(P = 28\space cm\), \(A=33\space cm^{2}\)
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6. given \\( \\overline { q r } \\cong \\overline { s t }, \\overline {…
\(\triangle PQR\cong\triangle QST\) by the SAS (Side - Angle - Side) congruence criterion.
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graph the image of trapezoid j k l m after a rotation 270° counterclock…
After rotation, the new coordinates are \(J'(1,8)\), \(K'(1,4)\), \(L'(10,6)\), \(M'(10,10)\). Plot these points and connect them to get the image of trapezoid \(JKLM\) after a \(…
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graph the image of trapezoid ( j k l m ) after a rotation ( 270^{circ} …
The coordinates of the vertices of the rotated trapezoid are \(J'(1,8)\), \(K'(1,4)\), \(L'(10,6)\), \(M'(10,10)\). Plot these points and connect them to get the image of trapezoi…
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graph the image of square stuv after a rotation 270° counterclockwise a…
Plot the points \(S'(3,0)\), \(T'(3,-7)\), \(U'(10,-7)\), \(V'(10,0)\) and connect them to form the rotated square.
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find the perimeter and area. 1 p = a =
\(P = 18\) yd, \(A=15\) yd²
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solve for x and graph the solution on the number line below. -10x ≥ 50 …
Inequality Notation: $x\leq - 5$. On the number - line, place a closed circle at $-5$ (because the inequality includes equality, i.e., $x$ can be equal to $-5$) and shade to the l…
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graph the image of rectangle tuvw after a rotation 180° counterclockwis…
The new coordinates of the rectangle after \(180^{\circ}\) counter - clockwise rotation around the origin are \(T'(-5,-1)\), \(U'(-8,-1)\), \(V'(-8,-8)\), \(W'(-5,-8)\). Plot thes…
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graph the image of rectangle klmn after a rotation 90° counterclockwise…
The new coordinates of the rectangle after a \(90^{\circ}\) counter - clockwise rotation around the origin are \(K'(-2,4)\), \(L'(-2,5)\), \(M'(-10,5)\), \(N'(-10,4)\). Plot these…
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solve for ( x ) and graph the solution on the number line below. -1 < \…
Inequality Notation: \(x < 4\) To graph \(x < 4\) on the number line: - Place an open circle at \(x = 4\) (because the inequality is strict, \(x eq4\)). - Shade the line to the l…
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has a point marked with a large dot. the figure 5 units to the right. o…
Point in original figure: \((-7,-8)\) Point in final figure: \((-2,-8)\)
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graph the image of \\( \\triangle qrs \\) after a rotation \\( 180 ^ { …
The coordinates of the vertices of the rotated triangle are \(S'(7,0)\), \(Q'(5,3)\), and \(R'(1,3)\). Plot these points and connect them.
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find the values of the missing angles in the diagram below. 147° 69° z°…
\( x = 3^{\circ}\), \( y = 78^{\circ}\), \( w = 99^{\circ}\), \( z = 147^{\circ}\)
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solve for ( x ) and graph the solution on the number line below. -21 ge…
Inequality Notation: $x\geq3$ To graph on the number line: Place a closed circle at \(3\) (because the inequality is $\geq$, including \(3\)) and shade to the right of \(3\) (sinc…
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proving triangles congruent digital textbook click each link below to l…
It is given that \(\overline{TK}\) bisects \(\angle RTD\), so \(\angle RTK\cong\angle DTK\) by definition of angle bisector. Therefore, in \(\triangle TRK\) and \(\triangle TDK\),…
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find the length of the third side. if necessary, write in simplest radi…
\(2\sqrt{2}\)
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solve for x and graph the solution on the number line below. \\frac{x}{…
Inequality Notation: \(x > 3\) For the number line: Place an open circle at \(3\) (since \(x eq3\)) and draw an arrow to the right (because \(x\) is greater than \(3\)).
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graph the image of \\( \\triangle cde \\) after a rotation \\( 180 ^ { …
Plot the points \((3,2)\), \((3,0)\), \((9,1)\) and connect them to get the image of \(\triangle CDE\) after \(180^{\circ}\) rotation about the origin.
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proving triangles congruent digital textbook click each link below to l…
2. Reflexive property of congruence; 3. Definition of perpendicular lines; 6. Definition of congruent angles.
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solve for x and graph the solution on the number line below. -10x > 80 …
\(x<-8\) To graph on the number line: Place an open circle at \(-8\) (because the inequality is strict, \(x eq - 8\)) and draw an arrow to the left (towards the negative numbers)…
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graph the image of \\( \\triangle jkl \\) after a rotation \\( 180 ^ { …
Plot the points \( (5,4)\), \( (2,4)\), \( (5,10)\) and connect them.
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6. the formula for the sum of the degree measures of the interior angle…
$$n=\frac{S}{180}+ 2$$
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find the length of the third side. if necessary, write in simplest radi…
\(2\)
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22. what happens to the volume of a cone if the height is tripled while…
The volume is tripled.
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21. what mathematical operation is used to find the volume of a sphere …
B. Cubing
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20. which real - world object is most likely modeled as a sphere when c…
B. A globe
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19. which of the following best explains why a cones volume is \\( \\fr…
A. A cone occupies one - third of the space of a cylinder with the same base and height.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Angle - Angle - Side (AAS), so the triangles are congruent.
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18. if the volume of a rectangular prism is doubled, what can be said a…
B. One or more dimensions must increase.
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17. what is the formula for the volume of a sphere? a. $\\pi r^{2}$ b. …
C. \(\frac{4}{3}\pi r^{3}\)
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16. a cone has a diameter of 8 cm and a height of 12 cm. what is its vo…
A. \(64\pi\mathrm{cm}^{3}\)
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we can certainly have point reflections in the coordinate plane. the mo…
(a) After reflection, \(M(1,4)\to M'(-1,-4)\), \(N(4,6)\to N'(-4,-6)\), \(O(8,2)\to O'(-8,-2)\). Plot these points to get \(\triangle M'N'O'\). (b) The general rule for reflecting…
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15. which unit is used to measure the volume of a cone? a. none of the …
D. cubic units
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point reflections n-gen math geometry one of the most important transfo…
(a) The mapping is \(M(1,4)\to M'(-1,-4)\), \(N(4,6)\to N'(-4,-6)\), \(O(8,2)\to O'(-8,-2)\) (b) \(f:(x,y)\to(-x,-y)\)
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14. a cylinder and a cone have the same volume and base radius. what mu…
d. The height of the cone is three times the height of the cylinder.
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13. what is the radius if the diameter of a cylinder is 10 cm? a. 20 cm…
C. 5 cm
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determine the relationship between the two triangles and whether or not…
can be proven congruent
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12. if the radius of a cylinder is doubled, the volume will increase by…
B. 4
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Side - Angle - Side (SAS), so the triangles are congruent.
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determine the relationship between the two triangles and whether or not…
can be proven congruent
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11. which scenario might require finding the volume of a cone? a. measu…
d. Filling a conical fountain.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Hypotenuse - Leg (HL), so the triangles are congruent.
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the diagram shows ( r_{(90^{circ},o)}(abcd) ). what are the coordinates…
A\((1,1)\) B\((-1,5)\) C\((-7,3)\) D\((-3,1)\)
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10. to find the volume of a cone, you need to know: a. the circumferenc…
B. the radius of the base and the height
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the blue figure is a translation image of the black figure. possible th…
\(\langle-4,4 angle\)
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10. to find the volume of a cone, you need to know: a. the circumferenc…
B. the radius of the base and the height
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the complete transformation from triangle abc to triangle a\b\c\ can be…
\(\langle-6,-1 angle\)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by \(AAS\) (or \(ASA\) or \(SAS\) depending on the actual side - angle - side/angle - side - angle/angle - angle - side relationships in the complete…
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9. what is the formula for the volume of a cone? a. ( 2pi r^{2}h ) b. (…
C. \(\frac{1}{3}\pi r^{2}h\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 112\)
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8. what measurement do you need to calculate the volume of a cylinder? …
B. Radius
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a side of the triangle below has been extended to form an exterior angl…
\(x = 55\)
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5 △fgh-△igj
\(x = \frac{5}{3}\), \(y=\frac{20}{3}\)
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find the value of x. answer attempt 1 out of 2 x =
\(x = 18\)
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7. a sphere has a radius of 10 cm. what is its volume in terms of \\( \…
D. \(\frac{4000}{3}\pi\space cm^{3}\)
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find the value of $x$. answer attempt 1 out of 2 $x = $
\(82\)
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complete the table with the coordinates of the image points e, f, and g…
\(E'(-4,-4)\), \(F'(-2,-4)\), \(G'(-5,-2)\)
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a side of the triangle below has been extended to form an exterior angl…
\(117\)
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6. if the radius of a cone is doubled, how does this affect the volume?…
d. The volume is quadrupled.
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answer attempt 1 out of 2
\(x = 8\)
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answer attempt 2 out of 2
\(x = 8\)
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add. use models if needed. 1. $(4x + 8)+(7x + 3)=$ 2. $(-3x + 7)+(-6x +…
$$11x+11$$
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5. the radius of the base of a cone is 4 cm and the height is 9 cm. wha…
C. \(48\pi\)
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given a(9, - 2), b(6,3), and c(-2,-6), what are the coordinates of the …
\(A'(-2,9)\), \(B'(3,6)\), \(C'(-6,-2)\)
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answer attempt 1 out of 2
\(15\)
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4. a cone has a radius of 6 cm and a volume of 72π cm³. what is the hei…
C. 6 cm
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the vertices of triangle abc are a(-3,4), b(-2,5), and c(-4,2). if tria…
\((-2,-9)\)
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answer attempt 1 out of 2 $x=$
\(x = 14\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 13\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 62\)
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answer attempt 1 out of 2 x =
\(50\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 46\)
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3. if a cylinder has a height of 12 cm and a radius of 5 cm, what is th…
D. \(300\pi\)
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2. a cone and a cylinder have the same base radius and height. if the c…
B. \(100\space cm^{3}\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 43\)
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1. what is the volume of a sphere with a radius of 5 m? use π ≈ 3.14. a…
B. \(523.33\space m^{3}\)
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13. what happens to the volume of a sphere if its radius is halved? a. …
d. The volume is reduced to one - eighth.
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12 what is the radius of a sphere with a volume of 904.32 cubic inches?…
B. 6 inches
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11. a sphere has a radius of 10 cm. what is its volume in terms of π? a…
C. \(\frac{4000}{3}\pi\ cm^{3}\)
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10. a spheres radius is tripled. how does its volume change? a. the vol…
d. The volume increases by 27 times.
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8. to find the volume of a sphere, you need to know its: a. surface are…
B. Radius
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the eagle express shipping service logo is in the shape of a parallelog…
9.3 square feet
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7. if the height of a cylinder is doubled, what happens to the volume? …
A. It doubles
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if the area of a parallelogram is 24 square inches and the height is 8 …
C. 3 inches
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5. which real - world object is most likely modeled as a sphere when ca…
b. A globe
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find the area of this figure 17 square units 33 square units 66 square …
66 square units
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3. if the volume of a sphere is ( 36pi mathrm{cm}^{3} ), what is its ra…
D. 3 cm
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proper and common nouns and pronouns... with ninjas! directions: 1. und…
1. - Common nouns: "morning", "classroom" - Proper nouns: "Silent Lotus Clan", "Mr. Morton" - Pronouns: "he", "his" 2. - Common nouns: "desk" - Proper nouns: "Mr. Morton" - Pronou…
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find the area of this figure. 54 square meters 108 square meters 216 sq…
108 square meters
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6. in the triangle, the ratio of the measures of the sides is 10:11:15.…
The measures of the angles are approximately \(42^{\circ}\), \(47^{\circ}\), and \(91^{\circ}\)
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1 if the diameter of a sphere is 18 inches, what is its radius? a. 18 i…
D. 9 inches
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question 1 find the area of this figure 77 square millimeters 30.5 squa…
77 square millimeters
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3. find x. 4. find the measure of <1.
For problem 3: \(x = 7\) For problem 4: \(\angle1=78^{\circ}\)
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2. find x.
\(x = 40^{\circ}\)