Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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the diagram shows a triangle. what is the value of ( v )? ( v = \boxed{…
\(30\)
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is there a series of rigid transformations that could map δqrs to δabc?…
Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing $\overline{QS}$ (the fourth option).
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in the diagram, ( angle j cong angle m ) and ( overline{jl} cong overli…
D. $\overline{JK}\cong\overline{MN}$
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2-1 question 4 of 8 (1 point) | question attempt: 1 of unlimited (a) wr…
$\angle PMQ$ and $\angle 2$ ### Part (b)
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the diagram shows a triangle. what is the value of c? c = \\square°
\(3\)
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is △mnl ≅ △qnl? why or why not? yes, they are congruent by either asa o…
A. Yes, they are congruent by either ASA or AAS.
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the proof that δqpt ≅ δqrt is shown. given: (overline{sp} cong overline…
definition of perpendicular bisector
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the circle is inscribed in triangle prt. which statements about the fig…
B. \( \overline{TU} \cong \overline{TS} \) D. The length of line segment \( PR \) is 13 units.
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what is the length of line segment sv? ○ 6 units ○ 8 units ○ 12 units ○…
16 units
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the diagram shows a triangle. what is the value of t? t = \\square^\\ci…
\(t = 78^\circ\)
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what is the length of the shorter of the two chords shown? 13 units 16 …
13 units
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what is the length of line segment pq? 4 units 5 units 6 units 9 units
5 units
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the diagram shows a triangle. what is the value of t? t = \boxed{^circ}
\(36\)
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su and vt are chords that intersect at point r. what is the length of l…
13 units (corresponding to the option "13 units")
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bd and ac are chords that intersect at point y. what is the length of l…
4 units
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the diagram shows a triangle. what is the value of t? t = \\boxed{}^\\c…
\(49\)
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determine whether the graph is the graph of a function. 6) coordinate p…
The graph is not the graph of a function.
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29. given that ∠efg is a right angle, find m∠efh and m∠hfg. image of an…
$m\angle EFH = \boldsymbol{60}^\circ$, $m\angle HFG = \boldsymbol{30}^\circ$
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ax and ex are secant segments that intersect at point x. what is the le…
3 units (corresponding to the option "3 units")
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rt and gj are chords that intersect at point h. if rh = 10 units, ht = …
20 units
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3. the number \\(\\frac{5}{3}\\) is a ______ because 5 and 3 ar 4. the …
\( 8\frac{14}{15} \) ### Problem 9: \( 19.86 + 7.091 \)
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29. given that ∠efg is a right angle, find ( mangle efh ) and ( mangle …
To find \( m\angle EFH \) and \( m\angle HFG \) given \( \angle EFG \) is a right angle (\( 90^\circ \)): ### Step 1: Set up the angle - sum equation Since \( \angle EFG=\angle EF…
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solve for a and graph the solution. 8 ≥ a - 2 ≥ -6 plot the endpoints. …
The solution for \(a\) is \(-4 \leq a \leq 10\). For the graph, plot closed circles at \(-4\) and \(10\) and connect them with a line segment.
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line segment st is congruent to which line segment? (overline{sk}) (ove…
\(\overline{UT}\)
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point o is the center of the circle. what is the perimeter of quadrilat…
28 units
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25. given that ∠klm is a straight angle, find m∠kln and m∠nlm. diagram:…
\(m\angle KLN = \boldsymbol{125}^\circ\), \(m\angle NLM = \boldsymbol{55}^\circ\)
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solve for f and graph the solution. 2f + 11 ≤ 17 or f + 7 > 12 plot the…
The solution is \(f \leq 3\) or \(f > 5\). For graphing, plot a closed circle at 3 (since \(f \leq 3\)) and shade left, and an open circle at 5 (since \(f > 5\)) and shade right.
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3. look at the examples and nonexamples below to define the term \adjac…
Adjacent angles are two angles that share a common vertex, share a common side, and have their non - common sides on opposite sides of the common side (with no overlapping interio…
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23. $overrightarrow{bd}$ bisects $angle abc$ and the $mangle abd = 57^c…
\(m\angle DBC = \boldsymbol{57}\) \(^\circ\) \(m\angle ABC = \boldsymbol{114}\) \(^\circ\)
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what is ( moverarc{pq} )? 128° 173° 192° 256°
\( 173^{\circ} \) (corresponding to the option with \( 173^{\circ} \))
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20. complete the definition: a point that bisects a segment is called s…
midpoint
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solve for c and graph the solution. c - 18 > -6 or -3c - 7 > 11 plot th…
The solution is \( c > 12 \) or \( c < -6 \). For graphing, plot open circles at 12 (arrow right) and -6 (arrow left) on the number line.
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the figure to the right has its congruent segments marked. find the mea…
20
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19. given ( mangle abc = 111^circ ). find ( mangle abd ) and ( mangle c…
\( m\angle ABD = \boxed{88}^\circ \) \( m\angle CBD = \boxed{23}^\circ \)
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in circle o, what is ( moverarc{ae} )? ( 84^circ ) ( 96^circ ) ( 120^ci…
\(120^{\circ}\) (corresponding to the option "120°")
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the scale factor that maps figure a onto figure b is 2. what is the val…
16
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which equation is correct regarding the diagram of circle o? ( mangle x…
\(m\angle XZY=\frac{1}{2}(a - b)\) (the second option: \(m\angle XZY=\frac{1}{2}(a - b)\))
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if m∠poq = 24 and m∠por = 59, what is m∠qor? m∠qor = □ (simplify your a…
\( 35 \)
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in circle y, what is m∠1? 6° 25° 31° 37°
\(31^\circ\) (corresponding to the option with \(31^\circ\))
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directions: simplify each expression. circle the correct answer. using …
### Problem 1: \( 5 \div 1 + 7 \) # Explanation: ## Step 1: Perform division \( 5 \div 1 = 5 \) ## Step 2: Perform addition \( 5 + 7 = 12 \) Wait, no, wait: \( 5 \div 1 = 5 \), th…
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a secant and a tangent meet at a 90° angle outside the circle. what mus…
180° (The difference between the measures of the intercepted arcs is 180°)
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in the diagram of circle o, what is the measure of ∠abc? ○ 30° ○ 40° ○ …
\(30^\circ\) (corresponding to the option with \(30^\circ\))
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approximately what portion of the beaker is filled? a. $\frac{5}{6}$ b.…
A. $\frac{5}{6}$
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which equation is correct regarding the measure of ∠1? ○ ( mangle 1 = \…
\( m\angle1=\frac{1}{2}(b - d) \) (the option \( m\angle1=\frac{1}{2}(b - d) \))
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in the diagram of circle o, what is the measure of ∠abc? ○ 27° ○ 54° ○ …
\( 54^\circ \) (corresponding to the option "54°")
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question 8 of 10 approximately what portion of the box is shaded blue? …
B. $\frac{5}{8}$
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what is ( moverarc{po} )? ( 128^circ ) ( 173^circ ) ( 192^circ ) ( 256^…
\(173^{\circ}\) (corresponding to the option: \(173^{\circ}\))
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find the length of side c. b 40° c a 120° 8 c c = 20° a = 10.8 c = ?
$\approx 4.3$ (or more precise value depending on rounding requirements, e.g., if rounded to two decimal places, $\approx 4.27$)
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find the length of side a. b 40° c a 120° 8 c c = 20° a = ? c =
$\approx 10.78$ (or more precisely, using exact values: $\frac{8 \times \frac{\sqrt{3}}{2}}{\sin 40^\circ} = \frac{4\sqrt{3}}{\sin 40^\circ} \approx 10.78$)
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question 6 of 10 approximately what portion of the beaker is filled? im…
A. $\frac{1}{3}$
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find the measure of angle c b 40° c a 120° b c c = ?° a = c =
\(20\)
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find the length of side c. b c a a 50° 35° c 13 b = 95° a = 10.0 c = ?
Approximately 5.76
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find the length of side a. b a 50° 35° c 13 b = 95° a = ? c =
$10.0$ (rounded to the nearest tenth, assuming the problem expects that; if more precision, but likely 10.0)
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find the measure of angle b. triangle with vertices a, b, c; angle at a…
\( 95 \)
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find the length of side c. 32° b c 7 125° a b c a = 23° b = 9.5 c = ?
$\approx 14.7$ (depending on rounding, maybe to one decimal place, or as needed. If we calculate more precisely: $\sin 23^\circ \approx 0.3907311285$ $\sin 32^\circ \approx 0.5299…
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find the length of side b. 32° b c 7 125° a b c a = 23° b = ? c =
The length of side \( b \) is approximately \(\boxed{9.5}\) (or more precisely, approximately 9.49 depending on rounding).
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find the measure of angle a. 32° b c 7 125° a b c a = ?° b = □ c = □
\(23\)
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look at this graph: what are the coordinates of the vertex? ( , ) submi…
(0, 0)
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find the length of side b. a b c 110° 30° 12 a = 40° c = 9.3 b = ? roun…
Approximately $\boxed{17.5}$ (or $\boxed{18}$ if rounded to the nearest whole number)
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find the length of side c. a b 110° 30° c 12 a = 40° c = ? b =
\(c \approx 9.3\) (or 9.33, depending on rounding)
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using the chart, what is the meaning of the word \contradict\? remember…
speaking out against something
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find the measure of angle a. triangle abc with angle at b = 110°, angle…
\(40\)
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prefix root sub - under script - write tri - three scope - see micro - …
writing that is below the line
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find the length of side c. c a 120° b 3 c a 15° b = 45° a = 1.1 c = ?
\( 3.7 \)
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prefix root sub - under script - write tri - three scope - see micro - …
a tool to help people see small things
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prefix\troot sub - under\tscript - write tri - three\tscope - see micro…
a vehicle with three wheels
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find the length of side a. c 120° 3 c a 15° b b = 45° a = ? c =
\(\approx 1.1\) (or exact form \(\frac{3(\sqrt{3}-1)}{4}\))
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find the measure of angle b. c a 120° b 3 c a 15° b = ?° a = c =
\(45\)
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which congruence theorem can be used to prove △wxs ≅ △yzs? diagram of t…
ASA (the option corresponding to ASA, e.g., if the options are labeled as above, the answer is the option with ASA, like "ASA" or the option letter if there was a letter, but in t…
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a satellite views the earth at an angle of 20°. what is the arc measure…
$160^{\circ}$ (corresponding to the option "160°")
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what is the measure of arc qsr? 70° (diagram: circle with points q, r, …
\(250\)
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find the length of side a. a 18° 100 c b 28° a c a = ? c = □° c = □
\( a \approx 65.8 \) (If more precision is needed, use more decimal places for sine values. Also, angle \( C = 134^\circ \), and for \( c \), using Law of Sines \( c = \frac{100 \…
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using the given figure, another name for line p is select
Line \( AB \) (or Line \( AK \), Line \( BA \), Line \( KA \), etc. – most appropriately Line \( AB \) or Line \( AK \) based on the figure's points)
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could δjkl be congruent to δxyz? explain. ○ yes, if $overline{jl} cong …
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.
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find the length of side a. c = 6.1 a = 10° a = ?
\(a\approx2.26\) (rounded to two decimal places)
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nts, tangents, and angles ment active lving a real-world problem aaron …
\(194\)
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find the measure of angle a. c a b 152° 4 18° c a c = 6.1 a = ?° a =
\(10\)
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find the length of side c. (diagram of triangle abc: angle at c is 152°…
The length of side \(c\) is approximately \(6.08\) (if we consider the more precise calculation, or using calculator for \(\sin\) values: \(\sin 152^\circ\approx0.46947\), \(\sin …
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in the diagram to the right, (overline{jl} perp overline{mn}). use the …
Vertical ### Question 12: Classify ∠NKQ and ∠QKL
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question 2 points 2 find the length of the longest side of the rectangl…
9 ft
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if line ( n ) is the segment bisector of ( overline{ce} ), find the mea…
\( 15 \)
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using the given figure, a point non - coplanar to plane k is point sele…
point \( Y \)
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$\\overrightarrow{bd}$ bisects $\\angle abc$, the $m\\angle abc = 122^{…
$m\angle ABD = \boxed{61}^\circ$ $m\angle DBC = \boxed{61}^\circ$
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making towers bird-friendly the lights on tall communication towers war…
To save birds, communication towers have begun using blinking lights.
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consider the two triangles. how can the triangles be proven similar by …
The correct option is: Show that the ratios \(\frac{UV}{XY},\frac{WU}{ZX},\) and \(\frac{WV}{ZY}\) are equivalent. (The first option)
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what additional information is needed to prove that the triangles are c…
$\boldsymbol{\angle LOA\cong\angle LMA}$ (the option with the text "$\angle LOA\cong\angle LMA$")
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9. given the diagram below, find the value of ( x ) and ( y ). ((y + 23…
\(x = 40\), \(y = 40\)
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the sections of song of myself approach one subject from several differ…
It corresponds to the idea that the self is all - encompassing.
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consider the two triangles how can the triangles be proven similar by t…
Show that the ratios \(\frac{UV}{XY}\), \(\frac{WU}{ZX}\), and \(\frac{WV}{ZY}\) are equivalent.
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4. solve and graph the inequality on a number line: 3x + 7 < 19 answer:…
The solution to the inequality \( 3x + 7 < 19 \) is \( x < 4 \). For the graph, there is an open circle at 4 on the number line with shading to the left of 4.
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2. find the measure of (overline{cb}). cb = (square)
36
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given: $overline{rs}$ bisects $angle mrq$; $angle rms cong angle rqs$ w…
\(\boldsymbol{\triangle RMS \cong \triangle RQS}\) by AAS
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14. complete the definition: a part of a line that has two endpoints is…
segment
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in the diagram, dg = 15, gf = 5, eh = 12, and de = 8. to prove that △df…
The correct option is: HF is 4 units and GH is 2 units. (The third option)
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triangle def is congruent to δ ghj by the sss theorem. which rigid tran…
D. translation
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in the diagram, (\frac{sq}{om} = \frac{sr}{on} = 4). diagram: triangle …
B. \(\overline{MN}\) and \(\overline{QR}\)
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which of the following shows the solution of the inequality x - 3 < -2?
The number line with an open circle at 1 and shading to the left (the second number line from the left).
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in the diagram, \\(\\frac{sq}{om} = \\frac{sr}{on} = 4\\). diagram: tri…
\(\overline{MN}\) and \(\overline{QR}\) (the option: \(\overline{MN}\) and \(\overline{QR}\))
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what is true about every rotation? the angles in the image and pre-imag…
The angles in the image and pre - image are congruent
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susan will rotate triangle abc 180° about one of the labeled points. su…
E. point E, F. point F