Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question 6. triangles efg and jkl are congruent, where e, f, and g corr…
B. \( 45^\circ \)
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question 5. in the figure shown, line l intersects parallel lines j and…
D. 131
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14 given parallelogram defg, if df = 5x + 1, what is pf? (there is a di…
13
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select the correct answer from each drop - down menu. quadrilateral 1 a…
The transformation is a reflection (e.g., over the x - axis) followed by a dilation with a scale factor of 2. (Note: The exact transformation and scale factor depend on precise co…
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point m is the midpoint of (overline{pq}), and (overleftrightarrow{lm})…
The two - column proof is filled as above, and we conclude that \( LP = LQ \) by showing \( \triangle LMP\cong\triangle LMQ \) using SAS and then applying CPCTC.
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triangle on the coordinate plane. base \\(\\overline{ab}\\) that is a u…
The subfield is **Mathematics - Geometry**. The problem involves describing right and isosceles right triangles, requiring application of triangle properties (e.g., Pythagorean th…
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transversal t passes through parallel lines p and l. what is the value …
The value of \( a \) is \( \frac{15}{2}=7.5 \)
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use the diagram and proof below to answer questions 10-11. statement | …
B. Midpoint Definition ### Question 11
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11. what are the perimeter and area of △xyz? show your work here. optio…
P = 42; A = 84 (the option with P = 42; A = 84)
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quiz question 2 of 6 if your earnings are higher than the cost of your …
D. positive return on investment for higher education (assuming the last option is labeled D; if the last option's identifier is a circle with text, the answer is the option "posi…
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multiple choice (2 pts. each) #1.) in △ abc, m∠a = (2x)°, m∠b = (3x − 2…
B. Isosceles ### Question 2:
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1. part a: which of the following best describes a central idea of the …
C. Due to the design of many social media platforms, people are more likely to stay within their "real life" social cliques and interest circles while online.
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what is the total number of lines of symmetry for this figure? (figure …
C. 2
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select the correct answer. how many lines of symmetry does the figure h…
2 (corresponding to the option with 2)
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select all the correct answers. which rotations carry the square onto i…
\( 270^\circ \) clockwise, \( 90^\circ \) counterclockwise (corresponding checkboxes should be selected: the option "270° clockwise" and "90° counterclockwise")
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Question was provided via image upload.
The scale factor of the dilation (enlargement) from the blue (inner) figure to the red (outer) figure is 2.
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what value of x would support the conclusion that $\\triangle jkl \\con…
\(x = 37\)
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name date class period solving absolute value equations coloring activi…
For problem 1, the solution is \((-12,36)\) and the corresponding color is GREEN.
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select the correct answer. what is the total number of lines of symmetr…
C. 2
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write the equation in standard form for the circle with center (-7, 6) …
\((x + 7)^2 + (y - 6)^2 = 144\)
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select the correct answer from each drop - down menu. consider parallel…
- The angle of rotation: \(180^\circ\) - The side \(BC\) maps to: \(\overline{AD}\) - Opposite sides of parallelograms are: equal (or congruent)
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write the equation in standard form for the circle with center (9, 0) a…
\((x - 9)^2 + y^2 = 36\)
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write the equation in standard form for the circle with center (10, 0) …
\((x - 10)^2 + y^2=\frac{121}{4}\)
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determine if the figures are similar. if they are give the similarity r…
The rectangles are similar, and the similarity ratio is \(\frac{2}{3}\) (or \(2:3\)).
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which sentence from passage 2 uses irony to show a change in perception…
D. "Her tangled hair fanned out like the rays of the sun, and even the pool of saliva on her pillow was sweeter to me than the rarest honey—" (paragraph 29)
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select the correct answer from each drop - down menu. abcdefgh is a reg…
The minimum degree of rotation for the octagon to map onto itself is $45^\circ$, and the rotation from A to C is $90^\circ$ (so the number of increments is 2, but the main angle f…
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geometry topics 1-6 benchmark assessment the rule t is applied to point…
quadrant III
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write the equation in standard form for the circle with center (0, -3) …
\(x^2+(y + 3)^2 = 100\)
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in the diagram below, m∠cih = 99° and m∠bgd = 36°. find m∠ihg. step ang…
\( \boldsymbol{63^\circ} \)
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drag each label to the correct location on the table. each label can be…
- Isosceles Trapezoid JKLM: 1 line of reflection - Square PQRS: 4 lines of reflection - Equilateral Triangle FGH: 3 lines of reflection - Regular Hexagon ABCDEF: 6 lines of reflec…
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write the equation in standard form for the circle passing through (-1,…
\(x^2 + y^2 = 1\)
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write the equation in standard form for the circle passing through (0, …
\(x^2 + y^2 = 64\)
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answer attempt 1 out of 2 the x-intercept is located at the point ( , )
\((2, 0)\)
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question find the coordinates of the centroid of a triangle whose verti…
\((3, -5)\)
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geometry topics 1-6 benchmark assessment 4. what is the equation of a l…
For the first problem, the equation of the line is \( y=\frac{1}{2}x + 3 \). For the second problem, the true statements are \( \overline{AB}\cong\overline{A'B'} \), "If \( \overl…
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write the equation in standard form for the circle with center (-7, 4) …
\((x + 7)^2 + (y - 4)^2 = 4\)
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question find the coordinates of the centroid of a triangle whose verti…
\((10, 8)\)
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determine if △abc maps to △xyz. give the dilation in algebraic notation…
\(\triangle ABC\) does not map to \(\triangle XYZ\) under the transformation \((x,y)\to(-x,-y)\)
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answer attempt 1 out of 3 in triangle abc, e is the point of concurrenc…
ED = 10.5, AD = 31.5
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question the diagram shows different shapes. what conclusions can be dr…
The diagram has 1 set(s) of parallel line segments and 2 set(s) of perpendicular line segments. The diagram has 2 set(s) of congruent angles and 1 set(s) of congruent segments. (N…
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select the correct answer from the drop - down menu. △abc is similar to…
4
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select the correct answer. in the figure, $\\triangle abc$ is congruent…
C. 4:1
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question 3 of 10 the second term in a geometric sequence is 20. the fou…
\(\frac{3}{4}\) (or \(-\frac{3}{4}\), but the positive value is more probable in this context)
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a(0, 0), b(1, 3), c(-1, 4)\\ x(0, 0), y(3, 9), z(-2, 8)\\ (x,y)→(-x,-y)
- Transformed \( A \): \( (0,0) \) - Transformed \( B \): \( (-1,-3) \) - Transformed \( C \): \( (1,-4) \) - Transformed \( X \): \( (0,0) \) - Transformed \( Y \): \( (-3,-9) \)…
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bonus: determine the coordinates of point k and give the scale factor. …
Coordinates of \(K\) are \((0,10)\) and scale factor \(sf=\frac{5}{8}\)
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the second term in a geometric sequence is 20. the fourth term in the s…
The common ratio is \(\frac{3}{4}\) (or \(-\frac{3}{4}\), but the positive value \(\frac{3}{4}\) is more probable in this context)
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“the miller’s tale” quiz circle the correct answer. 1. what is the mill…
1. C. He is drunk and insists on telling a bawdy story. 2. A. A parish clerk who is infatuated with Alison. 3. B. She is young, attractive, and fond of fashionable clothes. 4. C. …
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prove: the product of the slopes of lines ac and bc is -1. construct a …
The key steps involve using the **angle addition postulate** for the angle sum, **subtraction property of equality** to find congruent angles, **AA similarity** for triangles, and…
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figure abcde is being dilated by a scale factor of 1/3. give the new co…
The new coordinates after dilation with scale factor \(1/3\) (assuming center at origin) are: - \(A'(-2, 1)\) - \(B'(-1, 1)\) - \(C'(-1, -1)\) - \(D'(0, -1)\) - \(E'(0, 1)\) (To d…
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question answer attempt 1 out of 2 in triangle abc above, bd is the and…
For BD: median; For CE: altitude
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point c is \\(\\frac{3}{4}\\) of the way from point a(-4, -2) to point …
The coordinates of point \( C \) are \( (5,4) \)
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determine if the dilation is an enlargement or reduction. give the scal…
The scale factor is 4.
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in △def, j is the centroid. if df = 62, find di. answer attempt 1 out o…
31
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select the correct answer from each drop - down menu. given: (overline{…
(Assuming the drop - down options: For the angle step, "subtraction property of equality"; for the angle congruence, "\(\angle ECD\cong\angle CGF\) by substitution"; for the trian…
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select the correct answer from the drop - down menu. a university just …
3
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use proportions to solve for both x and y. \\(\\triangle abc \\sim \\tr…
\(x = 6\), \(y = 4.5\)
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if ge = 10, find ag.
20
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if ns = 4, find sr. answer attempt 1 out of 2 sr =
2
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in △fgh, l is the centroid. if hl = 12, find li.
6
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determine the coordinates of the afterimage. is this an enlargement or …
\(A'=(5,3)\), \(B'=(4, - 2)\), \(C'=(-1,0)\); This is a reduction (scale factor \(0.5\)).
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in △nop, t is the intersection of the three medians. if ot = 30, find t…
15
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$\\overline{ab}$ is parallel to $\\overline{xy}$. $\\overline{ab}$ and …
A. parallel
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Question was provided via image upload.
Problem 9: b. SAS Problem 10: \( x=\frac{23}{6}\) (or if there's a different length, but based on SAS congruence, solving \( 6x - 4 = EF \), and if \( EF = 19 \), \( x=\frac{23}{6…
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find the values. answer attempt 1 out of 3 a. eg = b. gf = c. fc = d. b…
a. \( EG = 12 \) b. \( GF = 9 \) c. \( FC = 18 \) d. \( BD \approx 5.8 \)
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which set of transformations would bring triangle abc back onto itself …
C. Reflect over the x - axis, rotate \( 180^\circ \) about the origin, reflect over the y - axis.
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find the value of x to the nearest tenth. (image of a rectangle with a …
\( x \approx 7.8 \)
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g.gsr.3.2 (hc) triangle abc when through a set of transformations to cr…
A. Triangle ABC was rotated 180° about the origin, then reflected over the x - axis.
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question 8 10 pts g.gsr.3.2 (mc) triangle abc is at a (3, 1), b (5, -2)…
(-3, 0)
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question 7 10 pts g.gsr.3.2 (mc) what is the rule for this translation …
(x - 2, y - 4)
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question 6 10 pts g.gsr.3.2 (mc) if abcd is translated by the rule (x +…
D. (2, 2)
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this is the only question in this section. question if ( cd = 4 ) and t…
31
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question 5 10 pts g.gsr.3.2 (mc) if parallelogram abcd were rotated 270…
\(\boldsymbol{(-2, 4)}\) (corresponding to the option D. (-2, 4) if we assume the last option is D. (-2,4))
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question 4 10 pts g.gsr.3.2 (mc) if triangle abc were rotated 180° arou…
D. (5, -1) (assuming the last option is D, as per the options: (5, -1) is the correct one)
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given: $overleftrightarrow{mn}$ is the perpendicular bisector of $overl…
The missing statements are: 1. \( \overline{AN} \cong \overline{BN} \) (reason: definition of a midpoint) 2. \( \angle ANM \) and \( \angle BNM \) are right angles (reason: defini…
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if $m\\angle yxz = 38$, $m\\angle wxz = 19$, and $wz = 8.1$, what is th…
8.1
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if $m\\angle yxw = 21$, $yw = 5$, and $wz = 5$, what is $m\\angle zxy$?
42°
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select the correct answer from each drop - down menu. given: $overleftr…
- First blank (reason for N is midpoint): definition of a perpendicular bisector - Second blank (∠ANM and ∠BNM reason): All right angles are congruent - Third blank (triangle cong…
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if bc = 10, ab = 7, and the perimeter of triangle abc is 27, what is th…
\(3.5\) (or \(\frac{7}{2}\))
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select all the correct answers. figure a is a polygon that has been gra…
- Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3. - Reflect figure A across the y - axis, and dilate it by a scale factor of 4.
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select the correct answer. polygon abcd is reflected and dilated to giv…
C. 0.5
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question 2 10 pts g.gsr.3.2 (lc) when a shape is reflected over a line …
D. congruent to each other (assuming the options are labeled A to D with D being "congruent to each other", if original labels were different, adjust accordingly. From the given o…
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look at this graph: what are the coordinates of the vertex? ( , )
(0, 8)
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question 1 10 pts g.gsr.3.2 (lc) how many degrees did parallelogram abc…
270° Counter-Clockwise
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look at this graph: what are the coordinates of the vertex? ( , )
(3, - 9) Wait, no, maybe I made a mistake. Wait, let's look at the graph again. Wait, the user's graph: the vertex is at (3, - 8)? No, perhaps the correct coordinates are (3, - 9)…
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use the drawing tool(s) to form the correct answer on the provided grid…
The resulting triangle after reflection and dilation has vertices at \( (0, 2) \), \( (0, -6) \), and \( (-10, -6) \) (drawn on the grid as per the transformation steps).
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for problems 5–6, find the volume of each cylinder. use 3.14 for $\\pi$…
The volume of the cylinder in Problem 5 is \( \boldsymbol{51.9} \) cubic meters. ### Problem 6:
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line segment lm is dilated by a scale factor of \\(\\frac{1}{3}\\) to f…
A. Line segment \( \boldsymbol{L'M'} \) has a slope of 6 and passes through point H.
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find the unknown angle measure
\( 27^\circ \)
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find the unknown angle measure
\( 38^\circ \)
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2. rectangles abcd and pqrs are similar. ac = 4 cm cd = 9 cm pq = 12 cm
The length of \(PS\) is \(27\space cm\).
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triangle congruence 10. if two figures are similar, are the two figures…
No, two similar figures are not necessarily congruent. Similar figures have corresponding angles equal and corresponding sides in proportion (scale factor \(k\)). Congruent figure…
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select the correct graph. which image shows triangle abc dilated by a s…
The top - left image (the first image in the top - left corner)
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problem 5c a circular field has a circumference of 240π feet. what is t…
\( 14400\pi \)
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which equation represents the line that contains the points (2, 6) \\( …
\( y=\frac{1}{2}x + 5 \) (the option \( y=\frac{1}{2}x + 5 \))
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5. here are two similar shapes. the area of shape a is 60 cm². find the…
\( 240 \, \text{cm}^2 \) (corresponding to the option with \( 240 \, \text{cm}^2 \))
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name date find the value of each variable in the parallelogram. 1. 2. 3…
\( x = 11 \), \( y = 8 \) ### Problem 2:
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47 which of the following graphs displays a quadratic relation that is …
(Note: Since only Graph A is shown, but the question asks for a non - function quadratic relation, the correct graph would be a horizontally opening parabola (not shown here). If …
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45 which graph shows the solution to the inequality $y \\leq \\frac{1}{…
B
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what is a solution to the system? ( , )
\((2, 5)\) (or \((5, - 2)\) is also a solution, but \((2,5)\) is a valid one)
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42 which ordered pair represents a solution to the equation... (image o…
B. \((6, 0)\) ### Question 43