Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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graph the parabola. y = (x + 2)^2 + 3 plot five points on the parabola:…
The five points are: Vertex \((-2, 3)\), left points \((-3, 4)\), \((-4, 7)\), right points \((-1, 4)\), \((0, 7)\). These points can be plotted on the given coordinate plane to g…
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read the following passage, which is modeled after an encyclopedia entr…
A. to inform audiences about the production and types of tortillas
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write your answer using integers, proper fractions, and improper fracti…
If we were asked for the equation of the line, the answer is \(y =-\frac{3}{5}x+6\). If we were asked for the slope, the answer is \(-\frac{3}{5}\), and if we were asked for the y…
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question 5 of 10 rise is the horizontal change between any two points o…
B. False
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question 2 of 10 the change in the x-coordinates of any two points on a…
C. run
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question 1 of 10 the slope of a line will depend on which of the two po…
B. False
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1) is the following graph a function? 1) circle graph 2) intersecting l…
To determine if a relation is a function, we use the **vertical line test** for graphs (a vertical line intersects the graph at most once) and the **definition of a function** for…
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question 10 of 10 an equation allows you to find the x- and y-coordinat…
A. True
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question 7 of 10 the graph of a line goes down and to the right when: a…
C. the coefficient of x is negative.
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1) ( y = x^2 - 4x + 5 ) a) graph a b) graph b c) graph c d) graph d
B (the graph labeled B)
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question 6 of 10 what is the equation of the following line? be sure to…
D. \( y = -\frac{3}{4}x \)
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question 5 of 10 what is the equation of the following line? be sure to…
B. \( y = -3x \)
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question 22 sub work (nov 5 & 6) angle 1 and angle 2 angle 2 and angle …
Angle 1 and Angle 2: Complementary Angles Angle 2 and Angle 5: Vertical Angles Angle 4 and Angle 5: Linear Pair (Note: The answer assumes the diagram's angle relationships follow …
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consider right triangle △jkl below. which expressions represent the len…
B. $\boldsymbol{\frac{5.2}{\sin(60^{\circ})}}$, C. $\boldsymbol{\frac{3}{\sin(90^{\circ}- 60^{\circ})}}$
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the turning point of the graph could only be: a:(-3,3) b: (4,-2) c: (3,…
E: (-3, -2)
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question 5 of 10 what is the equation of the following line? be sure to…
B. \( y = -3x \)
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question 4 of 10 what is the equation of the following line? be sure to…
F. \( y = -2x \)
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question 2 of 10 what is the equation of the following line? be sure to…
C. \( y = \frac{2}{7}x \)
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4 $y = x^2 + 2x + 4$ $y = x + 1$
The system \( y = x^2 + 2x + 4 \) and \( y = x + 1 \) has no real - valued solutions (the graphs do not intersect at any real - valued points).
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question 10 of 10 if a = (-2, -4) and b = (-8, 4), what is the length o…
C. 10 units
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question 9 of 10 the distance formula is derived from the pythagorean t…
A. True
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look at this diagram: diagram of lines pr, su (parallel) and transversa…
\( 120 \)
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question 8 of 10 to find the distance between any two points in the pla…
A. True
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question 7 of 10 the distance between points (3, 7) and (x₁, y₁) is the…
A. True
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question 6 of 10 which expression gives the distance between the points…
D. \(\sqrt{(6 - 9)^2+(1 + 6)^2}\)
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question 5 of 10 if a = (7, 9) and b = (3, 12), what is the length of \…
D. 5 units
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consider the line $y = -\frac{5}{2} - \frac{2}{3}x$. what is the slope …
Slope of a perpendicular line: \(\frac{3}{2}\) Slope of a parallel line: \(-\frac{2}{3}\)
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find the values of m and n. the value of m is \\boxed{} ^\\circ
\(34\)
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question 4 of 10 if a = (0, 0) and b = (6, 3), what is the length of \\…
A. 6.71 units
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question 3 of 10 what is the distance between the points (2, 1) and (14…
D. 13 units
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an exterior angle of an isosceles triangle has measure 130°. find two p…
For the case of exterior angle at the vertex: each base angle is \(\boldsymbol{65^\circ}\) and the vertex angle is \(\boldsymbol{50^\circ}\).
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consider the line $x - 5y = -1$. find the equation of the line that is …
Equation of perpendicular line: \(y=-5x - 20\) (or \(5x + y=-20\)) Equation of parallel line: \(y=\frac{1}{5}x + 6\) (or \(x-5y=-30\))
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question 2 of 10 what is the approximate distance between the points (-…
D. 7.07 units
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an exterior angle of an isosceles triangle has measure 130°. find two p…
The measure of the angle of each base is \(50^\circ\) and the measure of the vertex is \(80^\circ\).
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question 1 of 10 when you use the distance formula, you are building a …
C. hypotenuse
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the equations of three lines are given below. line 1: $y = 2x + 6$ line…
Line 1 and Line 2: Neither Line 1 and Line 3: Parallel Line 2 and Line 3: Neither
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question 6 of 10 what is the location of the point on the number line t…
C. 11
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suppose we are given the following. line 1 passes through (-7, -2) and …
(a) Slope of Line 1: \(\frac{5}{7}\), Slope of Line 2: \(-\frac{7}{5}\), Slope of Line 3: \(\frac{5}{7}\) (b) Line 1 and Line 2: Perpendicular; Line 1 and Line 3: Parallel; Line 2…
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question 4 of 10 which methods could you use to calculate the x-coordin…
A. Count by hand, C. Divide 20 by 2
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consider the line y=9x−3. find the equation of the line that is perpend…
Equation of perpendicular line: \( y=-\frac{1}{9}x+\frac{19}{3} \) Equation of parallel line: \( y = 9x-21 \)
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consider the line -8x - 4y = 6. find the equation of the line that is p…
Equation of parallel line: \(y=-2x - 13\) (or \(2x+y=-13\)) Equation of perpendicular line: \(y=\frac{1}{2}x-3\) (or \(x - 2y = 6\))
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question 1 of 10 a line segment may have more than one midpoint. a. tru…
B. False
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find the equation and slope of a line that is parallel to the line y = …
Equation: \( y = 7 \) Slope: \( 0 \)
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ryder drew \\(\\overline{ng}\\) and translated it right 2 units and dow…
9
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consider the line $y = -2x - 1$. what is the slope of a line perpendicu…
Slope of a perpendicular line: \(\frac{1}{2}\) Slope of a parallel line: \(-2\)
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question 10 of 10 what is the length of (overline{pr})? a. 11 b. 63 c. …
D. 7
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consider the line 4x - 6y = -9. what is the slope of a line parallel to…
Slope of a parallel line: \(\frac{2}{3}\) Slope of a perpendicular line: \(-\frac{3}{2}\)
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two parallel lines are crossed by a transversal. if m∠6 = 123.5°, then …
\( 56.5^\circ \) (the first option: 56.5°)
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question 9 of 10 is $\\triangle bse \\sim \\triangle tes$? if so, ident…
C. Similar - SAS
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question 8 of 10 leon drew △abc and △def so that ∠a ≅ ∠d, ∠b ≅ ∠e, ab =…
D. Similar - AA
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letters a, b, c, and d are angles measures. which equation is enough in…
\(a = c\), \(b + c = 180^\circ\), \(a = d\) (the three options are \(a = c\), \(b + c = 180^\circ\), \(a = d\))
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the graph of the relation s is shown below. give the domain and range o…
domain = \(\{-3, 1, 3, 4\}\) range = \(\{-1, 0, 3, 4\}\)
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letters w, x, y, and z are angle measures. which should equal 92° to pr…
\( z \)
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graph the line. $y - 4 = 5(x - 3)$
To graph the line \( y - 4 = 5(x - 3) \), plot the point \( (3,4) \) and then use the slope \( 5 \) to find another point (e.g., \( (4,9) \) or \( (2,-1) \)) and draw a straight l…
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write an equation of the line below.
\(y =-\frac{2}{5}x + 4\)
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question 7 of 10 is △ham ~ △ste? if so, identify the similarity postula…
C. Similar - SAS
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which set of equations is enough information to prove that lines a and …
\(m\angle1 = 110^\circ\) and \(m\angle3 = 70^\circ\) (the third option)
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find an equation for the line below.
\(y =-\frac{1}{4}x-\frac{3}{2}\)
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consider the diagram. lines ac and rs are ○ coplanar. ○ parallel. ○ per…
skew (the option with "skew" text)
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write an equation of the line below.
\(y = - 2x-1\)
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two parallel lines are crossed by a transversal. what is the value of x…
\( x = 65 \) (corresponding to the option "x = 65")
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question 6 of 10 is △pqr ~ △xyz? if so, name which similarity postulate…
A. Similar - AA
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in the diagram shown, the distance between points a and c is the same a…
parallel (the option labeled "parallel")
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question 5 of 10 is △sam ~ △fig? if so, identify the similarity postula…
A. Similar - SAS
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question 4 of 10 david drew △pqr and △stu so that ∠p ≅ ∠s, pr = 12, su …
B. Similar - SAS
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planes q and r are parallel. lines a and b are shown on planes q and r,…
They are skew lines. (The option "They are skew lines.")
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question 3 of 10 is △abc ~ △def? if so, identify the similarity postula…
A. Similar - AA
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kevin says that lines p and m will eventually intersect. is kevin corre…
No, because they are parallel. (The option corresponding to this statement in the multiple - choice is the second option: "No, because they are parallel.")
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question 2 of 10 is △abc ~ △lmn? if so, name which similarity postulate…
A. Similar - AA
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graph the line. y = -x
To graph \( y=-x \), plot the origin \((0,0)\), then use the slope \(-1\) to find other points (e.g., \((1, - 1)\), \((-1,1)\)) and draw a straight line through them. The line has…
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lines a and b are parallel and lines e and f are parallel. if m∠1 = 89°…
\(89\) (the option with \(89\))
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write an equation of the line below.
\(y=\frac{5}{2}x + 4\)
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determine whether the following graph represents a function.
Yes, the graph represents a function (because it passes the vertical line test, meaning no vertical line intersects the graph more than once).
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answer function not a function submit answer
Function
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question 1 of 10 triangle abc is similar to triangle def. what is the l…
A. 18
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which segments are parallel? select each correct answer. □ \\(\\overlin…
$\overline{EF}$, $\overline{AB}$, $\overline{CD}$ (and also $\overline{AB}$ is parallel to $\overline{CD}$, $\overline{AB}$ is parallel to $\overline{EF}$, $\overline{CD}$ is para…
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given $\\angle 11 \\cong \\angle 13$. which lines, if any, must be para…
A. \( c \parallel d \), Converse of the Alternate Exterior Angles Theorem
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find the value of x. (there is a triangle with angles 92°, 54°, and x°)
\(34\)
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question 10 of 10 what is the scale factor from $\\triangle abc$ to $\\…
A. \( \frac{1}{5} \)
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for each triangle, check all that apply. triangle a 30° 60° ☑ scalene □…
- Triangle A: Correct - Scalene; Incorrect - Isosceles, Equilateral - Triangle B: Correct - Isosceles; Incorrect - Scalene, Equilateral - Triangle C: Correct - Isosceles; Incorrec…
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consider the diagram. which line segment has the same measure as \\(\\o…
\(\boldsymbol{\overline{SR}}\) (corresponding to the option with \(\overline{SR}\))
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graph the line whose y-intercept is -9 and whose x-intercept is 5.
The line is drawn by connecting the points \((0, - 9)\) and \((5,0)\) on the coordinate grid. (In the context of the given graphing interface, use the pencil to plot these two poi…
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use the enclose and subtract strategy to find the area of the parallelo…
12
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find the value of x. (there is a triangle with angles 34°, 101°, and x°…
$x = 45$
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14. line j passes though the point (2, 0) and is perpendicular to the g…
\( y=-4x + 2 \)
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given $\\angle 1 \\cong \\angle 7$, which lines, if any, must be parall…
B. \( c \parallel d \), Converse of the Alternate Exterior Angles Theorem
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question 9 of 10 which descriptions from the list below accurately desc…
A. Proportional side lengths
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consider the diagram. given that r||s and q is a transversal, we know t…
B. alternate interior angles theorem
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find the value of x. 49° x° 53°
\(x = 78\)
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question 8 of 10 dilating a triangle changes the angles and side length…
B. False
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question 7 of 10 with similar triangles, the ratios of all three pairs …
A. True
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planes x and y are perpendicular. points a, e, f, and g are points only…
\( \boldsymbol{\overleftrightarrow{EA}} \) (EA) and \( \boldsymbol{\overleftrightarrow{FG}} \) (FG)
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find jk. triangle image with right angle at j, side ij = 6.2, angle at …
\( 4.0 \)
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find qr. triangle image with right angle at r, pr=2, angle at p is 68° …
\( 5.0 \)
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find tu. triangle with right angle at u, angle at t is 56 degrees, leng…
\( 2.0 \)
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sv is the midsegment of the trapezoid tuwx. if tu = -10p + 96, sv = p, …
\( p = 9 \)
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two parallel lines are crossed by a transversal. what is the value of d…
d = 125 (Option: \( d = 125 \))
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consider the diagram. lines ac and rs can best be described as intersec…
skew
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question 6 of 10 which descriptions from the list below accurately desc…
C. Same shape, D. Similar
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in exercises 6–9, use the diagram. 6. name two lines. 7. name three col…
Two lines are $\overleftrightarrow{GH}$ (or $\overleftrightarrow{HG}$) and $\overleftrightarrow{AB}$ (or $\overleftrightarrow{BA}$, $\overleftrightarrow{AC}$, $\overleftrightarrow…