幾何
三角形、円、座標幾何、証明問題。
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what is the value of m? 30° 80°
\(50\)
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what is the value of k?
\(70\)
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point p is in the interior of ∠noq. if m∠nop = 37° and m∠noq = 123°, wh…
\(86\)
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in 8 & 9, use the following figure. 8. what is the value of x? (ggd) 14…
8. \(x = 32\) 9. \(y = 54\)
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find the equation of the following ellipse. express your answer in stan…
\(\frac{(x + 1)^{2}}{36}+\frac{(y + 4)^{2}}{9}=1\)
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1. angle a is between 0° and 180°. determine all measures of angle a in…
\(a\approx20.8\) ft
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in 10 - 13, \\( \\triangle qrs\\cong\\triangle xyz \\). find the measur…
10. \(75\) 11. \(6\) 12. \(55\) 13. \(50\)
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consider the following equation of an ellipse. 25x² + 49y² - 200x + 294…
Endpoints of major axis: \((11,-3)\) and \((-3,-3)\) Endpoints of minor axis: \((4,2)\) and \((4,-8)\)
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in 8 & 9, use the following figure. 8. what is the value of ( x ) ? 14 …
14
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7. find the value of x. (g6d)
\(x = 10\)
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consider the following equation of an ellipse. 25x² + 49y² - 200x + 294…
The center of the ellipse is \((4,-3)\)
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6. find the value of x and classify the triangle by its sides. (g6d) 6.…
\(x = 9\), isosceles
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5. find the value of x. (g6d) 5._ 2x 20° 30° 65 25 10 50
\(x = 25^{\circ}\)
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matching identify the following triangles by its sides. (g5a) 1. a) equ…
1. C. Scalene 2. B. Isosceles 3. A. Equilateral
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combining like terms which terms are like terms? (not all terms will be…
- **Circle**: \(14a\), \(4a\) - **Square**: \(3b\), \(16b\) - **Underline**: \(3a^{2}\), \(73a^{2}\) - **X - mark**: \(17\), \(100\)
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pick the object that matches this description: part of the object is a …
A. Object A
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pick the object that matches this description: the object is a hexagon …
B. Object B
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pick the object that matches this description. part of the object is a …
C. Object C
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question 10 of 10 this circle is centered at the origin, and the length…
B. \(x^{2}+y^{2}=100\)
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question 9 of 10 when you make the circle bigger or smaller, which numb…
B. The radius
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question 8 of 10 the ____ of a circle centered at the origin measures t…
B. radius
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question 7 of 10 the equation for the circle below is $x^{2}+y^{2}=100$…
D. 10
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question 6 of 10 the solution set of an equation of a circle is all of …
A. True
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9.3.3 quiz: circles centered at the origin question 5 of 10 which is th…
A. \(x^{2}+y^{2}=r^{2}\)
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what is the measure of an exterior angle of a regular 13 - sided polygo…
\(27.7\)
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question 4 of 10 the equation of a circle centered at the origin is ( x…
A. 8
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question 3 of 10 what is the equation of a circle centered at the origi…
C. \(x^{2}+y^{2}=225\)
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this circle is centered at the origin, and the length of its radius is …
B. \(x^{2}+y^{2}=4\)
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consider the following equation of an ellipse. 36x² + y² + 360x + 10y +…
\((-5,-10.92)\) and \((-5,0.92)\)
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solve for x in this figure. enter your answer in the box. x = square^{c…
\(61\)
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ure below, ( l parallel h ). find the values of ( y ) and ( z ). ( y=sq…
\( y = 64 \) \( z = 21 \)
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select from the drop - down menus to correctly complete the statement. …
1 unit: left; 3 units: up
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consider the following equation of an ellipse. 36x² + y² + 360x + 10y +…
Endpoints of major axis: \((-5,1)\) and \((-5,-11)\) Endpoints of minor axis: \((-4,-5)\) and \((-6,-5)\)
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10)given the two parallel lines cute by a transversal, what is the meas…
$95^{\circ}$
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in the figure below, ( mangle2 = 120^{circ} ). find ( mangle1 ). ( mang…
\(60\)
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11) given the two parallel lines cut by a transversal, what is the meas…
\(104^{\circ}\)
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solve for y.
\( y = 20 \)
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which is the correct equation to solve for x? 16x + 180 = 90 12x - 19 =…
\(12x - 19 = 4x + 1\)
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what is the sequence of transformations that maps △def to △def? drag an…
A sequence of transformations that maps \(\triangle DEF\) to \(\triangle D'E'F'\) is a reflection across the \(y -\)axis followed by a translation \(2\) units up.
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what is the correct equation to use to solve for x? 33 = 7x + 5 -7x=33 …
\(33 = 7x + 5\)
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3) given the following two parallel lines cut by a transversal. which p…
$\angle7$ and $\angle2$
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consider the following equation of an ellipse. 36x² + y² + 360x + 10y +…
The center of the ellipse is \((-5,-5)\)
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5) true or false, if the following parallel lines are cut by a transver…
False
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1) given the two parallel lines cut by a transversal. what is the verti…
Angle 2
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find the value of x if the lines are parallel.
\( x = 2 \)
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using the graph, determine the coordinates of the x - intercepts of the…
The coordinates of the x - intercepts are \((-3,0)\) and \((1,0)\).
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find the value of x if the lines are parallel.
\(x = 6\)
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find the value of x if the lines are parallel.
\(x = 39\)
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8. are the following lines parallel? there is not enough information to…
Yes- Alternate Exterior Angles are Congruent
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2. point m is the midpoint of \\( \\overline { n l } \\). \\( j k = 8 x…
\(x = 10\), \(JK = 70\), \(KL = 55\), \(LM = 45\), \(MN = 45\)
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are the following lines parallel? there is not enough information to de…
Yes- Alternate Exterior Angles are Congruent
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6. are the following lines parallel? there is not enough information to…
Yes- Alternate Exterior Angles are Congruent
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5. are the following lines parallel? there is not enough information to…
Yes- Alternate Interior Angles are Congruent
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are the following lines parallel? there is not enough information to de…
There is not enough information to determine or not congruent
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are the following lines parallel? there is not enough information to de…
Yes- Alternate Exterior Angles are Congruent
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find the area of the triangle described below. round to the nearest hun…
\(237.15\)
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a life preserver is seen floating down a river. the life preserver is f…
\(39.6\) feet.
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free response questions - answer each of the following questions. show …
\(\overrightarrow{QS}\) bisects \(∠PQR\) because when \(x = 3\), \(∠PQS=17x + 11=17\times3+11 = 62\) and \(∠SQR=21x - 1=21\times3-1 = 62\), so \(∠PQS = ∠SQR\).
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same - side interior angles alternate interior angles corresponding ang…
Alternate Exterior Angles
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2. in the diagram, which of the following pairs does not represent the …
For question 2: (2) \(\overline{FC}\) and \(\overline{FD}\) For question 3: (2) \(73^{\circ}\) For question 4: (2) \(16\)
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which two lines are parallel? (hint: use the angle relationships not wh…
Lines M and P
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∠2and∠4 ∠1and∠4 ∠6and∠4 ∠5and∠3 which angles are vertical angles?
$\angle5$ and $\angle3$
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a canoe is seen floating down a river. the canoe is first spotted 60 fe…
\(43.1\) feet
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alternate interior angles vertical angles alternate exterior angles cor…
Alternate interior angles
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a homeowner makes a corner closet for his tools in an inside corner of …
The angles are approximately \(57.33^{\circ}\), \(58.82^{\circ}\), and \(63.85^{\circ}\)
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same side exterior same side interior corresponding alternate exterior …
Same Side Interior
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triangle angle theorems proving the sum of the interior angle measures …
The proof is assembled by using the alternate - interior angles theorem (for \(y\parallel z\)) to get \(m\angle1 = m\angle5\) and \(m\angle3=m\angle6\), and then using the linear …
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the angles opposite of each other when two lines cross two angles whose…
A line that intersects two or more lines.
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alternate interior angles corresponding angles same - side interior ang…
None of these
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alternate exterior corresponding vertical alternate interior what kind …
Alternate Exterior
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graph the function. 5) $f(x)=\\begin{cases}x + 4&\\text{if }-7\\leq x\\…
The graph consists of a line segment \(y=x + 4\) from \((-7,-3)\) to an open - circle at \((3,7)\), a point \((3,-4)\), and a line \(y=-x + 5\) starting from an open - circle at \…
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what are examples of corresponding angles? <3 and <6 <2 and <8 <4 and <…
$\angle3$ and $\angle7$
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solve for the remaining angles and side of the triangle described below…
\(b\approx4.310\), \(A\approx79.7^{\circ}\), \(C\approx55.3^{\circ}\)
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same side exterior angles corresponding angles same side interior angle…
Same Side interior angles
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what are examples of alternate interior angles? <7 and <6 <4 and <5 <3 …
\(\angle4\) and \(\angle5\)
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name the alternate interior angle to angle 3.
5
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question 10 of 10 are these shapes congruent? a. no b. yes
B. Yes
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question 9 of 10 are these shapes similar? a. yes b. no
B. No
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question 8 of 10 are these shapes congruent? a. yes b. no
B. No
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coplanar congruent skew collinear corresponding which of the following …
coplanar
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lea wants to build a toolshed in the backyard but is only using the are…
84.00 square feet
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in the diagram, which of the following statements are false? ∠2 and ∠6 …
$\angle1$ and $\angle8$ are alternate interior angles
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given the diagram, if ( mangle1 = 40^{circ} ) then ----------. choose a…
\(m\angle2 = 50^{\circ}\), Angles 1 and 2 are complementary.
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name the angle relationship. corresponding vertical angles alternate ex…
A. Corresponding
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name the corresponding angle to angle 4. angle 8 angle 2 angle 6 angle 5
angle 8
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find l ∠l=180° ∠l=51° ∠l=39° ∠l=129°
$\angle L = 51^{\circ}$
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what is the relationship of ∠1 & ∠2? choose all that apply. adjacent an…
adjacent angles, complementary angles
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solve for the angles of the triangle described below. express all angle…
\(A\approx127.13^{\circ}\), \(B\approx20.70^{\circ}\), \(C\approx32.17^{\circ}\)
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if df = 15 and de = 6, find ef if e is between d and f.
\(9\)
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if ∠x is an obtuse angle, then which of the following inequalities is t…
It is more than \(90\) degrees and less than \(180\) degrees.
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name the angle relationship. vertical angles corresponding consecutive …
Alternate Interior
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find the area of the triangle described below. round to the nearest hun…
\(114.10\)
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share a vertex and a side be supplementary be complementary be congruen…
share a vertex and a side
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what is the value of x?
\(14\)
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7) $f(x)=\\begin{cases}-x + 3&\\text{if }x < 2\\\\2x - 3&\\text{if }x\\…
The graph of the piece - wise function \(f(x)=\begin{cases}-x + 3&x<2\\2x-3&x\geq2\end{cases}\) is composed of two line segments. One is \(y=-x + 3\) for \(x<2\) (open - circle at…
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carlos colon... share a vertex and a side be supplementary be complemen…
None of these
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which pair of angles are congruent? d and w a and c c and l b and w
A. D and W
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solve for the remaining angles and side of the triangle described below…
\(a\approx6.924\), \(B\approx34.7^{\circ}\), \(C = 45.3^{\circ}\)
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vertical angles are
D. congruent
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which pair of angles add up to 180 degrees? c and x a and w a and g d a…
A. C and X