Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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question 8 of 10 which combination of integers can be used to generate …
B. $x = 3,y = 2$
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what is the length of line segment kj? 2√3 units 3√2 units 3√3 units 3√…
\( 3\sqrt{5} \) units
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classify each number below as a rational number or an irrational number…
- $29.\overline{59}$: rational (select the circle under "rational" for $29.\overline{59}$) - $\sqrt{49}$: rational (select the circle under "rational" for $\sqrt{49}$) - $2\sqrt{2…
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△qrs is a right triangle. select the correct similarity statement. opti…
$\boldsymbol{\triangle STR\sim\triangle SQR}$
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the points d(0,8), e(-6, -4), f(0, -7), and g(6,5) form quadrilateral d…
Los puntos \( D(0, 8) \), \( E(-6, -4) \), \( F(0, -7) \) y \( G(6, 5) \) se trazan en el plano cartesiano según sus coordenadas, y luego se forma el cuadrilátero \( DEFG \) hacie…
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synonyms choose the word from this unit that is the same or most nearly…
(Examples based on common vocabulary; adjust to the unit’s words): 1. dilapidated (or rotten/decrepit) 2. timidity (or fear/anxiety) 3. bungle (or botch/mishandle) 4. pamper (or s…
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16. the courts of many renaissance princes were jammed with (parasites,…
1. (Assuming a relevant unit word like) rotten (or other correct unit - specific synonym) 2. (Assuming a relevant unit word like) timidity (or other correct unit - specific synony…
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15. angle f has a reference angle of 75°. if the terminal side of ∠f is…
\( 255^\circ \) ### Question 16 #### Part a: Sine value
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2. the circle has a radius of 3 units. three students tried to calculat…
1: \( 9\pi \): distance 0
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2. find the lenght of rq and qp r •———•———• p x - 1 3x - 3 q <———8———> …
Length of \( RQ = 2 \) Length of \( QP = 6 \)
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10. (+4 points) 8 3 8 the equation of line a, is y = ¼ x a. which of th…
(Part a): \( y = \frac{1}{4}x - 5 \), \( \frac{1}{4}x - 5 = y \), \( y = -5 + \frac{1}{4}x \) ### Part (b)
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measure the object using both rulers and choose the best estimate. abou…
About 14 cm
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triangle ghi is similar to triangle jkl. find the measure of side lj. r…
\(105.8\)
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solve the inequality and graph the solution on the line provided. 11 + …
Inequality Notation: \( x \leq 4 \) For the number line: Plot a closed circle at 4 (since the inequality is "less than or equal to") and draw an arrow to the left to represent all…
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slope = -0.5 8. (+4 points) 8.3.11 match the lines with their equations…
Line L - d. \( y = 4 \) Line m - a. \( y=-2x + 4 \) Line n - b. \( y=x - 1 \) Line p - c. \( x=-4 \)
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answer the following questions and be sure to show all of your work. yo…
The solution of the equation \(4d=-12\) is \(d = - 3\) ### Question 2
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type the correct answer in the box. use numerals instead of words. if n…
15
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geometry midterm study guide given: ∠1 and ∠2 are supplementary ∠1 ≅ ∠4…
1. Reason: Given 2. (Already given) 3. Reason: Definition of Congruent Angles 4. Reason: Definition of Supplementary Angles 5. Statement: $m\angle4 + m\angle2 = 180^\circ$ 6. Reas…
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which similarity statements are true? check all that apply. □ △jkl ~ △k…
\( \triangle JKL\sim\triangle KML \), \( \triangle JKM\sim\triangle JKL \), \( \triangle JMK\sim\triangle JKL \), \( \triangle JMK\sim\triangle KML \), \( \triangle JKM\sim\triang…
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growth & development theories define the following terms and the pictur…
- **Seriation**: Defined as the ability to order objects logically (e.g., by size); Best - Representing Picture: The row with the triangles. - **Classification (Classify)**: Defin…
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select the correct answer. every morning, jane runs around a rectangula…
B. \( 8(l + w) \)
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(8) x - 3y = 4
To graph $x - 3y=6$ (or $y=\frac{1}{3}x - 2$), plot the y - intercept $(0,-2)$ and the point $(3,-1)$ (found using the slope $\frac{1}{3}$), then draw a straight line through thes…
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12. shira is given a 30°-60°-90° triangle with a hypotenuse that is 10 …
No, she did not solve it correctly. In a \(30^\circ\)-\(60^\circ\)-\(90^\circ\) triangle, the side opposite \(30^\circ\) (shorter leg) should be \(5\) (since hypotenuse \(= 10 = 2…
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(11) 6x + 5y = -15
To graph \(6x + 5y=-15\) (or \(y =-\frac{6}{5}x - 3\)): 1. Plot the \(y\) - intercept \((0,-3)\) (where the line crosses the \(y\) - axis). 2. Plot the \(x\) - intercept \((-\frac…
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date (10) 3x - 2y = -16
To graph \(3x - 2y=-16\) (or \(y=\frac{3}{2}x + 8\)): 1. Identify the slope \(m=\frac{3}{2}\) and \(y\) - intercept \(b = 8\) (but adjust for the graph's range). 2. Plot points li…
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(7) 5x - 7y = 7
To graph \(5x - 7y = 7\) (or \(y=\frac{5}{7}x-1\)): 1. Plot the y - intercept at \((0,-1)\). 2. Use the slope \(\frac{5}{7}\) to find another point (e.g., from \((0,-1)\), move 7 …
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write the equation of the line in fully simplified slope-intercept form.
$y = 2x-1$
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(3) 4x - y = 6
To graph \(4x - y = 6\) (or \(y = 4x-6\)): 1. Plot the \(y\) - intercept \((0,-6)\). 2. Use the slope \(m = 4\) to find a second point (e.g., from \((0,-6)\), move \(1\) unit righ…
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write the equation of the line in fully simplified slope-intercept form.
\(y=\frac{1}{5}x - 1\)
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x + y = -4
To graph \(x + y=-4\) (or \(y=-x - 4\)), plot the points \((0,-4)\) and \((-4,0)\) on the coordinate grid and draw a straight line through them.
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write the equation of the line in fully simplified slope-intercept form.
\(y =-\frac{1}{6}x\)
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use a problem-solving model to solve each problem. 15. reggie and yoki …
C. 15 ### Problem 16
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3. find the values of x and y
\(x = 60^\circ\), \(y = 30^\circ\)
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6. point h is the intersection of three medians. if bh=15, what is he a…
\( HE = 7.5 \), \( BE = 22.5 \) ### Problem 7:
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1. find the value of x. what is the type of triangle is $\\triangle abc…
$x = 8$, $\triangle ABC$ is isosceles.
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(5) 2x + y = 4 (6) x + y = -4
For \(2x + y = 4\), plot \((0,4)\) and \((2,0)\) and draw the line. For \(x + y=-4\), plot \((0,-4)\) and \((-4,0)\) and draw the line.
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find the length of the missing side. 20 cm, 48 cm. options: 42 cm, 48 c…
52 cm
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#8 find the area of this shape 6x² 3x⁸ area of a rectangle = l x w so m…
\( 18x^{10} \)
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plot and label the given points on the number line. a) -8 b) 6 c) -2
- For -8: Plotted at the -8 mark on the number line. - For 6: Plotted at the 6 mark on the number line. - For -2: Plotted at the -2 mark on the number line.
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use the graph of the parabola to fill in the table. (a) does the parabo…
(a) downward (b) x - intercept(s): \(-1,3\); y - intercept(s): \(-6\) (c) vertex: \((1,-4)\) (d) equation of axis of symmetry: \(x = 1\)
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for the diagram below, write and solve an equation to find x. what is t…
## Relationship: D. Corresponding angles ## Equation: \(3x + 34 = 10x + 12\) ## \(x = \frac{22}{7} \approx 3.14\) (Wait, no—wait, correction: Wait, I think I messed up the angle r…
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6. find ( mangle 2 )
\(43^\circ\)
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5x + 7y = -28
The line is graphed by first finding the y - intercept at \((0,-4)\) and then using the slope \(-\frac{5}{7}\) to find another point and drawing a straight line through the two po…
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triangle abc with vertices a(6, -6), b(2, 5), c(4, -3) is rotated 90° c…
\(A' = (6, 6)\) \(B' = (-5, 2)\) \(C' = (3, 4)\)
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5. find the value of x 120°
\(60^\circ\)
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which transformations are rigid transformations? select all that apply!…
C. reflection, D. translation, E. rotation
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4. find the measures of x, y, and z. the triangle is not drawn to scale…
\(x = 45^\circ\), \(y = 90^\circ\), \(z = 45^\circ\)
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3x - y = 3
To graph \(3x - y=3\) (or \(y = 3x - 3\)): plot the points \((0,-3)\) and \((1,0)\) and draw a line through them.
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point m is the image of m (5,5) under a translation by 3 units to the l…
\((2,16)\)
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complete the sentences. shorter longer inches yards clara measures the …
shorter; inches
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3. find the value of x. (image of an isosceles triangle with two sides …
\(35\)
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9. which of these sequences of transformations would return a shape to …
a. Translate 3 units up, then 3 units down. b. Reflect over line \( p \), then reflect over line \( p \) again. c. Translate 1 unit to the right, then 4 units to the left, then 3 …
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complete the sentences. ethan measures the width of a kitchen. it is ab…
greater than 3 feet
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write the equation of the line in fully simplified slope-intercept form.
\( y = -x + 2 \)
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8th grade midterm study guide for math 2025-26 18. graph the following …
The graphs are drawn as follows: - For $y=\frac{1}{3}x - 3$: A line with slope $\frac{1}{3}$ passing through $(0,-3)$ and $(3,-2)$. - For $y =-\frac{1}{3}x + 3$: A line with slope…
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write the equation of the line in fully simplified slope - intercept fo…
\(y = - 2x-1\)
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directions: find the missing side lengths. show all work. round to the …
The error is that the hypotenuse (length 26) was incorrectly used as a leg in the Pythagorean Theorem. The correct formula for a right - triangle with legs \(x\) and \(10\) and hy…
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what problem do sarah and han face? they are in danger of being in the …
B. They are in danger of being without air for too long (where B corresponds to the second option with the blue circle in the given choices)
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directions: find the missing side lengths. show all work. round to the …
The length of the missing side is approximately \(16.4\)
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46 what is the equation of the line in the graph below?
$y = -\frac{1}{2}x + 3$
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thursday a right triangle and two of its side lengths are shown in the …
A. 37.1 cm
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7 if a quadrilateral has four right angles then the quadrilateral is a …
- parallelogram: True - rectangle: True - square: False - rhombus: False (To mark the circles: For parallelogram, mark the circle under "True"; for rectangle, mark the circle unde…
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6 select two options that will complete the sentence below truthfully. …
C. square, D. rhombus
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which country is highlighted? map of asia with a circled area disputed …
Qatar
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17. if you reflect a figure with the y-axis as the line of reflection. …
a. The preimage is congruent to the image, d. The preimage is moved across the y - axis Wait, no, let's check the original problem again. Maybe the question is from a test where a…
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is the pair of objects congruent? if the pair of objects is congruent, …
The pair of objects is congruent. A composition of rigid motions: Rotate the tall pink rectangle 90° clockwise, rotate the small blue rectangle 90° counterclockwise, rotate the sm…
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a student draws the figure to the right. explain why the figure cannot …
B. Increase the length of the side opposite the larger angle so it is longer than the side opposite the smaller angle
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5 if the diagonals of a quadrilateral are perpendicular, then the quadr…
- rectangle: False - square: True - rhombus: True (For the multiple - choice - like selection in the table: - For rectangle: Select "False" - For square: Select "True" - For rhomb…
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to indirectly measure the distance across a river, madeline stands on o…
289
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a student draws the figure to the right. explain why the figure cannot …
G. Switch the labels of the two sides labeled 13 and 11.
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a student draws the figure to the right. explain why the figure cannot …
B. The longer third side is opposite the smaller included angle.
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complete with > or <. explain your reasoning. pt______qr select the cor…
B. The Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side…
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7. which is a true statement about the transformation? ○ the pre - imag…
The pre - image is in Quadrant II.
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if $m\\angle nop = 24$ and $m\\angle noq = 110$, what is $m\\angle poq$…
$86^\circ$
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given: \\(\\overline{ac} \\perp \\overline{bd}\\) and \\(\\overline{bd}…
$\angle BDC$ is a right angle, Perpendicular lines form right angles, $\angle BDA\cong\angle BDC$, All right angles are congruent, $\triangle ABD\cong\triangle CBD$, SAS
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find the range of possible values for x. the range is \\(\\square < x <…
\( 3 < x < 34 \)
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5. which is a true statement about dilations? a dilation always changes…
A dilation sometimes enlarges a figure. (The option with the blue circle, which is the third option: "A dilation sometimes enlarges a figure.")
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describe the rule (or rules) that maps abcd to abcd? be sure to put the…
The rule that maps \(ABCD\) to \(A'B'C'D'\) is a **reflection over the \(y\)-axis** (each point \((x, y)\) in \(ABCD\) is transformed to \((-x, y)\)) or a **horizontal translation…
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the angle from the tee to the hole is 10° downhill, and the horizontal …
Approximately \( \boldsymbol{32.1} \) yards (or \( \boldsymbol{96.3} \) feet) higher. (If the distance was 60 feet, then approximately 10.6 feet, but based on 185 yards, the calcu…
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select all the equations that represent a line that is perpendicular to…
The equations representing lines perpendicular to \( y = 2x-8 \) are: - \( y =-\frac{1}{2}x + 1 \) - \( x + 2y = 5 \) - \( -x - 2y = 9 \)
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question 4 write the equation of the line that passes through the point…
C. \( y=\frac{3}{2}x + 4 \)
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write the equation of the line in fully simplified slope-intercept form.
\(y = 3x-2\)
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42 suppose $f(x) = -3x - 5$. if $g(x)$ represents the graph of $f(x)$ t…
B. $g(x) = -3x + 2$
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circle one simplify each expression. 1) \\(\\frac{x^5}{x^2}\\)
$ x^3 $
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question 3 given the graph, write the equation of the line graph of a l…
d) \( y=\frac{4}{3}x + 1 \)
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8. find an equation of the line perpendicular to the line with equation…
The equation of the perpendicular line is \(y=\frac{1}{5}x + 9\) (or \(y - 7=\frac{1}{5}(x + 10)\) or \(x-5y+45 = 0\))
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drag the red and blue dots along the x-axis and y-axis to graph -6x + 5…
- Para el punto azul (intersección con el eje y), desplazar al \( y \)-valor \( 7.2 \) (en el eje \( y \), entre 7 y 8). - Para el punto rojo (intersección con el eje x), desplaza…
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for each pair of figures below, choose how they are related. (images of…
First pair: Rotation Second pair: Translation Third pair: Reflection Fourth pair: Rotation
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7. the width of a rectangle is 2 m less than the length. the area is 48…
s: 7. Length = 8 m, Width = 6 m 8. Sides: 8 cm, 15 cm, 17 cm Consecutive Even Integers: 14, 16
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question 7 1 pts hendrix sunrise performance at the 1969 woodstock fest…
D. The Star Spangled Banner
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there are two blue l - shaped figures and four options: translation, re…
C. Rotation
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10) write an equation for the line that passes through the given point …
The equation of the line is $y = 5x-28$ (or in point - slope form $y - 2=5(x - 6)$)
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question 6 of 10 how does faulkner tell a story from different angles i…
B. By having more than one character tell the same story
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for each figure, determine if it is a parallelogram. first figure (q, s…
Top - Left: Parallelogram Top - Right: Parallelogram Bottom - Left: Parallelogram Bottom - Right: Not necessarily a parallelogram
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multiple attempts this test allows 3 attempts. this is attempt number 2…
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find the value of x. (there is a triangle with angles 42°, 91°, and x°)
\(47\)
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select the correct answer. image of angle construction what needs to be…
C. The third arc should intersect the second arc.
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complete the statement. if the measure of $\\angle 6 = 120^\\circ$, the…
\(60^\circ\) (corresponding to the option \(60^\circ\))
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be ≅ de; select a reason...; search for reasons...; reflexive property;…
In a triangle, sides opposite of congruent angles are congruent
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given: e is the midpoint of \\(\\overline{bd}\\) and \\(\\overline{ac} …
The correct reason for \( \overline{BE} \cong \overline{DE} \) is "Definition of Midpoint" (note: if this is not in the dropdown, there may be a problem with the given options, bu…