Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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prove: ∠pcq is complementary to ∠abc. what is the missing step in the g…
D. For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP≅∠ABC.
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use the figure below and the given piece of information to determine wh…
Parallel Lines: $c$ and $d$ Converse Used: Converse of the Same - Side Interior Angles Postulate
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in the diagram, points e, a, and b are collinear and the areas of squar…
B. \((-8,4)\)
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decide whether each statement about the example is true true false $ove…
True. $\overline{P'Q'}$ is congruent to $\overline{PQ}$. False. $m\overline{PJ} eq m\overline{JP'}$ (should be equal). False. $m\overline{QT} eq m\overline{TQ'}$ (should be equa…
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the table contains the proof of the theorem of the relationship between…
D. slope of \(\overleftrightarrow{AC}\) = slope of \(\overleftrightarrow{DF}\)
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determine which translations would map figure t onto figure u. press \t…
A translation 4 units right and 4 units down.
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what is the image point of (-6,5) after a translation right 2 units and…
$(-4,1)$
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what is the image point of (9, 5) after a translation right 4 units and…
(13, 9)
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in the diagram, point d divides line segment ab in the ratio of 5:3. if…
D. \((2,-1)\)
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question what is the image point of (1,2) after a translation right 5 u…
$(6,5)$
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what is the image point of (2, -7) after a translation right 4 units an…
$(6, - 4)$
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false m\\(\\overline{qq}\\)\\(\ eq\\)m\\(\\overline{tr}\\) false m\\(\\…
$m\overrightarrow{TR}$
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what is the perimeter of this rectangle? (x1, y2) (x2, y2) (x1, y1) (x2…
A. $2(x_2 - x_1)+2(y_2 - y_1)$
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consider the transformation shown. use the drop - down menus to complet…
The transformation is nonrigid because the segment lengths are not preserved.
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false m\\(\\overline{qq}\\)≠m\\(\\overline{tr}) false m\\(\\overline{pp…
$\overrightarrow{TR}$
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false m\\overline{qq} \ eq m\\overline{tr} false m\\overline{pp} \ eq m…
translated
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consider the transformation shown. use the drop - down menus to complet…
nonrigid
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the diagram shows $overleftrightarrow{ab}$, $overleftrightarrow{cd}$, a…
B. \(\angle DGB\) is supplementary to \(\angle CGB\)
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use the graph to determine the length of segment gm. enter the coordina…
$3\sqrt{5}\approx6.71$
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decide whether each statement about the example is true or false. true …
1. **For the statement " $\overline{P'Q'}$ is congruent to $\overline{PQ}$":** - # Explanation: - ## Step1: In a transformation (such as translation, rotation, reflection), the le…
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use the graph to determine the length of segment gm. enter the coordina…
$2\sqrt{10}\approx6.32$
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the keeper said the challenge of circle justice was to return wellness,…
The questions touch on themes of justice, community well - being, and character analysis, which are relevant to Social Science. Responses would involve discussing social structure…
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point r divides $overline{pq}$ in the ratio 1 : 3. if the x - coordinat…
C. 5
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which angle is adjacent to ∠ced? ∠bec ∠aeb ∠bea ∠dec
\(\angle BEC\)
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an inequality is shown. solve the inequality and graph the solution on …
The solution of the inequality is $x\leq - 15$. On the number - line, it is represented by a closed circle at - 15 and an arrow pointing to the left.
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after school, rey and sonora walk home. rey walks 3 blocks east and 7 b…
$\sqrt{106}$
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which angle is adjacent to ∠aeb? ∠aec ∠dec ∠ced ∠bed
$\angle BED$
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which angle is adjacent to ∠bdc? ∠adc ∠cdb ∠adb ∠cda
$\angle ADB$
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part b c. find the width if the perimeter is 58 millimeters. explain ho…
The blanks should be filled as follows: In the equation $58 = 8x+10$, the second blank (width) is 6 mm. The third blank (to complete the sum of sides for checking) is 23. The four…
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question 6 solve the following inequality. y - 4 > -6 1) write the answ…
1) $(-2, oo)$ 2) On the number - line, we use an open - circle at $-2$ (because $y$ is strictly greater than $-2$, not equal to it) and draw an arrow to the right to represent all…
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an inequality is shown. solve the inequality and graph the solution on …
The solution of the inequality is $x<11$. On the number line, there is an open circle at 11 and the line is shaded to the left of 11.
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this question has two parts. first, answer part a. then, answer part b.…
b. $8x + 10$ c. Solving $58=8x + 10$ for $x$, the width is found to be $6$ mm. To check that this answer is correct, use the value of the width to find the length ($l=3\times6 + 5…
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the graph shows the endpoints of one side of a parallelogram. determine…
$2\sqrt{557}+28$
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this question has two parts. first, answer part a. then, answer part b.…
perimeter: 18 units area: 12 units$^2$
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identify the intercepts. identify all the x - intercepts.
-3, 3
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an inequality is shown. 2(3x - 4)≥4x + 8. solve the inequality and grap…
$x\geq8$, and on the number - line, a closed circle at 8 and an arrow to the right.
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put the equation in standard form. x² + y² - 2x + 6y + 9 = 0 (x - ?)² +…
$(x - 1)^{2}+(y-(-3))^{2}=1$, so the blanks are filled with 1, - 3, 1 respectively.
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consider the inequality -2x + 5 ≤ 7. 1. solve the inequality. 2. graph …
1. x≥ - 1 2. Draw a closed circle at - 1 on the number - line and shade to the right. 3. Highlight the part of the line y=-2x + 5 that is on or below the line y = 7. 4. The soluti…
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find the vertex and focus of the parabola: x² - 10x - 12y - 23 = 0 vert…
Vertex = $(5,-4)$ Focus = $(5,-1)$
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what are the intercepts? (type an - ordered pair. use a comma to separa…
(-3,0),(2,0),(6,0),(0,2)
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4. find the area
$60$ $cm^{2}$
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this question has two parts. first, answer part a. then, answer part b.…
perimeter: 20 units area: 24 units²
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4. find the area: 6 cm 5 cm 12 cm
$60$ $cm^{2}$
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problem 6 hikmat says that dilating a figure by a scale factor of 1/2 w…
Yes
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this question has two parts. first, answer part a. then, answer part b.…
perimeter: 12 units area: 6 units$^2$
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problem 5 which transformation will move the pre - image onto the image…
Translating right and then up.
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find the vertex and focus of the parabola: x² + 14x - 8y + 65 = 0 verte…
Vertex = $(-7,2)$ Focus = $(-7,4)$
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problem 4 is there a transformation or sequence of translations, rotati…
Yes, there is a sequence of transformations (a dilation with a scale factor of 2 followed by a translation) that moves one figure onto the other.
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the conic section below is______. a. a circle b. an ellipse c. a parabo…
e. a degenerate
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select any two points shown on line a to draw a slope triangle. the lin…
$y=-x + 4$
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9. find the area
$12$ $cm^{2}$
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this question has two parts. first, answer part a. then, answer part b.…
perimeter: $10 + 2\sqrt{13}$ units area: $12$ units$^2$
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pool eight - ball pool is a popular game played on a pool table that ha…
a. $57.3$ b. $3.8$
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line a is a straight line that passes through the origin. select any tw…
1
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find the perimeter and area of the polygon shown below. 15 ft 16 ft 8 f…
P = 72 feet, A = 300 square feet
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in the figure below, △abc is similar to △xyz. what is the length of zx?…
$10.5$
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list the sides in order, underline the side with the shortest length. 2…
24) Sides: $\overline{AB},\overline{BC},\overline{AC}$, Underlined: $\overline{AB}$ 25) Sides: $\overline{DE},\overline{DF},\overline{EF}$, Underlined: $\overline{DE}$ 26) Sides: …
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which of the following pairs show(s) two congruent triangles? a and b o…
D. C only
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a triangle, △abc, has angle measures of 40°, 40°, and 100° and exactly …
Isosceles obtuse
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line g is a straight line that passes through the origin. select any tw…
$y=\frac{1}{2}x$
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line g is a straight line that passes through the origin. select any tw…
\(-2\)
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the measures of two sides are given. between what two numbers must the …
11) \(6\lt x\lt24\) 12) \(9\lt x\lt31\) 13) \(9\lt x\lt37\) 14) \(3\lt x\lt13\) 15) \(3\lt x\lt33\) 16) \(12\lt x\lt56\) 17) \(24\lt x\lt118\) 18) \(26\lt x\lt68\) 19) Smallest: \…
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question 5 inequalities solve the inequality 2x < - 3x - 5. write your …
Inequality Notation: $x < - 1$ Interval Notation: $(-\infty,-1)$ For the graph: Use an open - circle at - 1 and draw an arrow to the left.
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follow the guided instructions below to rotate the figure 270° counter …
The new figure with vertices obtained from the rotation rule and the circle centered at $(-2,-1)$ with appropriate radius as described above.
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1. write three valid congruency statements given the triangles below. d…
1. a) $\triangle TPW\cong\triangle DGH$ b) $\triangle TWP\cong\triangle DHG$ c) $\triangle PWT\cong\triangle GHD$ 2. Angles: $\angle A\cong\angle M$, $\angle B\cong\angle N$, $\an…
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write the standard form of the equation of the circle with its center a…
$(x + 9)^2+y^2=100$
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find the distance between the pair of points (-4, -6) and (5, -5). if n…
The distance between the given points is $\sqrt{82}$ units. A. The distance between the given points is approximately $9.06$ units.
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given: n || m and <1 = <2 prove: p || r n 1 m 3 2 r p n is parallel to …
$n$ is parallel to $m$, $\angle1$ is congruent to $\angle3$ because corresponding angles are congruent when lines are parallel. Since $\angle1=\angle2$ (given), by the transitive/…
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simplify each exponential expression! 4. (3x^4y^5)(7x^5y) = 5. \\frac{4…
4. $21x^{9}y^{6}$ 5. $\frac{5a^{5}}{b^{5}}$ 6. $81m^{6}n^{2}$ 7. A. $\frac{4}{3}$, D. $6.\overline{7}$, E. $\sqrt{144}$
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sa = 2(3.14)(1.625²) + 2(3.14)(1.625)(4.25) sa = 2πr² + 2πrh 4.25 in. 3…
$59.9543$ square inches.
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find angle measures of parallel lines and transversals the figure above…
\(a = 135^{\circ}\) \(b = 73^{\circ}\) \(c = 107^{\circ}\)
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try: find angle measures in an intersection of three lines based on the…
$a = 15$ $b = 60$ $c = 105$
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2. neala has a fish tank with a volume of 343 cubic inches. what is the…
First: 7 Second: 49
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compare the volumes: how many times smaller is the smaller can compared…
The smaller can is approximately $1.95$ times smaller than the original can.
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3.4 practice exercises 3.4 example 3.4 football the graph shows the hei…
The x - intercept is 8 seconds. This means that the football hits the ground 8 seconds after being kicked. The y - intercept is 1 foot. This means that the initial height of the f…
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n is parallel to m. <1 is congruent to <2 <1 is congruent to <3 <2 is c…
$p$ is parallel to $r$ because $\angle2\cong\angle3$ (by transitive property from $\angle1\cong\angle2$ and $\angle1\cong\angle3$) and by the converse of alternate - interior angl…
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given: n || m and ∠1 ≅ ∠2. prove: p || r. n is parallel to m, ∠1 is con…
$p$ is parallel to $r$ because $\angle2\cong\angle3$ (by transitive property from $\angle1\cong\angle2$ and $\angle1\cong\angle3$) and they are corresponding angles formed by line…
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3.25 in. 4.25 in. area of a circle = 3.14*1.625^2 area of a circle = πr²
The area of the circular top of the can is approximately 8.29 square inches.
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given n || m and < 1 ≅ < 2. prove p || r. n is parallel to m, < 1 is co…
The proof that \(p\parallel r\) is completed by first using the corresponding - angles property for \(n\parallel m\), then the transitive/substitution property with the given \(\a…
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bonus question!!! polygon a has side lengths 3, 4.2, 2.6, and 7 units. …
side length of Polygon B: 21 units, 12.6 units not a side length of Polygon B: 12 units, 8.4 units
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sa = 2lw + 2lh + 2hw sa = 2(8)(1.75) + 2(8)(12.25) + 2(12.25)(1.75)
$266.875$
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given: g || h, < 1 ≅ < 2 prove: p || r 1. statement: < 1 ≅ < 3 reason: …
The proof is completed as above, showing that if \(g\parallel h\) and \(\angle1\cong\angle2\), then \(p\parallel r\) using the corresponding - angles postulate, given angle - cong…
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18 multiple choice 1 point <12 + <14 = 180 m||n p||q neither
A. \(m\parallel n\)
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use the picture below use the given information to decide if m||n, p||q…
m∥n 14. If ∠3 = ∠6, then p∥q.
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12 fill in the blank 2 points find the value of x that makes m parallel…
$95$
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find the value of x that makes m parallel to n. fill in the blank 2 poi…
$x = 32$
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trapezoid c has side lengths of 5, 2.4, 6.1, and 6.9. trapezoid d is a …
5 - e. 10 2.4 - b. 4.8 6.1 - c. 12.2 6.9 - d. 13.8
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find the value of x that makes m parallel to n. fill in the blank 2 poi…
14
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find the value of x that makes m parallel to n. 75° (3x + 15)°
$x = 20$
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question 12 solve the following inequality and graph the solution: (x -…
The solution of the inequality is $-3\leq x\leq6$. On the number - line, we use a closed - circle at $x=-3$ and $x = 6$ and draw a line segment between them.
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a group of college students built a self - guided rover and tested it o…
B. 40 meters
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find the value of x that makes m parallel to n. fill in the blank 2 poi…
30
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fill in the blank 2 points. find the value of x that makes m parallel t…
$40$
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7. this straightedge and compass construction shows quadrilateral abcd.…
If the construction shows that \(AB = BC = CD = DA\) (by virtue of the radii of the circles used in the construction being equal to the side - lengths of the quadrilateral), then …
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6. multiple answer 2 points is there enough information to prove that l…
No
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compare the volumes. how many times smaller is the single - serving com…
The single - serving is $\frac{1}{8}$ times the volume of the original.
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is there enough information to prove that lines p and q are parallel? i…
Yes, Converse of alternate interior angles
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4. draw the image of quadrilateral abcd when translated by the directed…
4. Follow the translation steps as described above to draw \(A'\), \(B'\), \(C'\), and \(D'\). 5. Plot \(A\) and \(B\) in the same place, and reflect \(C\) and \(D\) over line \(\…
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is there enough information to prove that lines p and q are parallel? i…
Yes, converse of corresponding angles.
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question 12 2 pts what are two first amendment clauses related to relig…
A. Establishment Clause and Free Exercise Clause