Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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solve for b. 68.5° 49.5° b b = ?°
\(59\)
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the trapezoid cdef is a dilation of the trapezoid cdef. what is the sca…
5
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solve for x. round to the nearest tenth of a degree, if necessary. tria…
\( 53.1^\circ \)
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which number line shows the solution to: 11x + 14 < -8? (with four numb…
The number line (let's assume the correct one is the one with open circle at -2 and shading to the left, corresponding to the option that matches \(x < -2\); based on the process,…
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
The figure is a right - angled triangle. ### Sub - Question 2
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p is the midpoint of \\(\\overline{qt}\\) and r is the midpoint of \\(\…
\( 39 \)
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s is the midpoint of \\(\\overline{rt}\\) and q is the midpoint of \\(\…
\( 21 \)
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solve for x. round to the nearest tenth, if necessary. triangle image w…
\( x \approx 9.0 \)
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what is the value of x? x = ? (with an image of two parallel lines cut …
70
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given: ∠a = 4x + 5 ∠b = x - 10 and ∠a and ∠b are consecutive interior a…
$\angle A = 153^\circ$, $\angle B = 27^\circ$
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gj is a midsegment of δhik. if hi = p + 40 and gj = p, what is the valu…
\( 40 \)
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gj is a midsegment of △hik. if hi = z + 18 and gj = z, what is hi? hi =…
\( HI = 36 \)
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i is the midpoint of \\(\\overline{hj}\\) and g is the midpoint of \\(\…
\( 54 \)
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ru is a midsegment of δstv. if st = z + 23 and ru = z, what is the valu…
23
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$\\overline{uw}$ is a midsegment of $\\triangle vxy$. if $xy = p - 4$ a…
\( p = 20 \)
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s is the midpoint of \\(\\overline{rt}\\) and u is the midpoint of \\(\…
\( 12 \)
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if st = 62, what is uw? v u t w s uw = submit
\( 31 \)
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hk is a midsegment of △gij. if ij = 18, what is hk? j i k h g hk = subm…
\( 9 \)
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$\\overline{wz}$ is a midsegment of $\\triangle vxy$. if $wz = 43$, wha…
\( 86 \)
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if sw = 86, what is tv? tv = \\square submit
\( 43 \)
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if vw = 74, what is ux? ux = \\boxed{}
\(37\)
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this is a contradiction. 4. conclude that the assumption is false and h…
An obtuse triangle cannot have a right angle (or: The conjecture is that an obtuse triangle does not have a right angle). ### 2. Assume the opposite of the conclusion. Write this …
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graph the inequality. $y < x - 5$
To graph \( y < x-5 \): 1. Draw a dashed line for \( y=x - 5 \) (slope = 1, y - intercept=-5). 2. Shade the region below the dashed line (test point \((0,0)\) does not satisfy \( …
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in the figure shown, what additional information is needed to show that…
B. \(\overline{AC}\cong\overline{DF}\)
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what are the necessary conditions to apply the sas triangle congruence …
C. An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.
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$\\angle 1$ and $\\angle 2$ are supplementary angles. if $m\\angle 1 = …
\(43^\circ\)
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in the figure below, there are three right triangles. complete the foll…
(a) $\triangle WYX \sim \triangle YZX \sim \triangle WYZ$ (or $\triangle XZY$ and $\triangle WYZ$ depending on notation, but likely $\triangle YZX$ and $\triangle WYZ$) (b) First …
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assuming all parabolas are of the form $y = ax^2 + bx + c$, drag and dr…
- \(a=-4\): The left - most graph (opening downward). - \(a = 4\): The middle graph (narrower upward - opening parabola). - \(a=1\): The right - most graph (wider upward - opening…
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graph this line using the slope and y-intercept: y = 4x - 7 click to se…
To graph \( y = 4x-7 \): 1. Plot the y - intercept: The point is \( (0, - 7) \) (where the line crosses the y - axis). 2. Use the slope \( m = 4=\frac{4}{1} \): From \( (0,-7) \),…
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if these two figures are similar, what is the measure of the missing an…
\(35\)
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3 problem 2 is line bc parallel to line de? choose the best justificati…
A. Line \( BC \) is parallel to line \( DE \) because triangle \( ABC \) is a dilation of triangle \( ADE \) by a scale factor of 3 from point \( A \).
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can you prove these shapes are congruent? yes \t\t no
yes
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are these shapes congruent? k 30° 56 ft 56 ft 75° 75° 29 ft j o 29 ft 7…
yes
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what values of a and b make $\\triangle rst \\cong \\triangle hig$? (im…
\(a = 17\), \(b = 14\)
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3.1 the man who fell to earth vocabulary movement 1 match definitions 1…
### Question 1 (Matching Verbs) 1. fall (given) 2. rise 3. land 4. take off 5. climb 6. drop 7. lift 8. dive 9. jump ### Question 2 (Choosing Prepositions) 1. over 2. towards 3. o…
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5. 6x > 2y - 10 check:
The graph of the inequality \(6x>2y - 10\) (or \(y < 3x + 5\)) has a dashed line with slope 3 and y - intercept 5, and the region below the line (containing the origin) is shaded.
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are these shapes congruent? (there are two triangles, one labeled with …
no
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what values of t and u make $\\triangle efg \\cong \\triangle xzy$? (im…
\(t = 16\), \(u = 1\)
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are these shapes similar? n 18 cm m 28 cm 28 cm k 42 cm l 28 cm s 53 cm…
no
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are these shapes congruent? o 22 km n 37° 143° 22 km 143° 22 km l 37° 2…
no
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are these shapes similar? 47 mm j k 47 mm i l yes no t 41 mm u w 41 mm v
yes
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are these shapes congruent? f 67 yd e 41 yd c d q 67 yd 84° p 97° 41 33…
no
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26. pentagon fghjk is similar to pentagon mpqst. (diagrams of two penta…
A. 13.5
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the two triangles are similar. what is the length of de? there is an im…
13.5
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are these shapes congruent? j 54 mi i 54 mi 54 mi w 54 mi g 54 mi h 54 …
yes
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y = -2x + 3; y = x² - 6x + 3 (graph with grid, axes, and two curves: a …
The intersection points are \((0, 3)\) and \((4, -5)\) (or as per the graph's marked points, confirming the solutions to the system of equations \( y = -2x + 3 \) and \( y = x^2 -…
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24. the circumference of a circle is c centimeters. the diameter of the…
C. \(\frac{C}{13}\)
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4. a triangle has a perimeter of 90 cm and a very small area. what migh…
A very small height, e.g., \(\boldsymbol{1}\) cm (or other small positive values like 2 cm, 0.5 cm, etc., as the triangle is nearly degenerate for very small area).
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22. triangle abc is similar to triangle def. which proportion can be us…
A. \( \frac{4}{3} = \frac{DE}{9} \)
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these triangles are congruent. what is the length of xy? (the image sho…
\(60^\circ\)
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what values of s and t make $\\triangle uvw \\cong \\triangle fge$? (im…
\( s = 7 \), \( t = 8 \)
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what values of b and c make $\\triangle hij \\cong \\triangle zyx$? (im…
\( b = 1 \) \( c = 1 \)
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what values of s and t make δefg ≅ δyzx? (there are two right triangles…
$s = 8$, $t = 2$
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what values of u and v make δrst ≅ δfge? (image of two right triangles:…
\(u = 10\), \(v = 6\)
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what values of y and z make δstu ≅ δigh? s 18 t y+41 i z+11 g 46 h y = …
\(y = 5\), \(z = 7\)
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2. what rule maps abcd to abcd? image of coordinate grid with quadrilat…
C. reflection over \( x = 0 \) then translation 1 unit left
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the triangle shown below has an area of 22 units². find the missing len…
11
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what values of a and b make $\\triangle wxy \\cong \\triangle ecd$? (im…
\(a = 3\), \(b = 2\)
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question 2 determine the value of x.
\( x = 3 \)
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find the missing length. volume = 177,500 mm³ image of a cd case with d…
12.5
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what values of a and b make $\\triangle pqr \\cong \\triangle vuw$? (th…
$a = 3$, $b = 6$
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the triangle shown below has an area of 75 units². find the missing len…
15
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what values of s and t make δefg ≅ δbcd? (images of two right triangles…
\(s=\boldsymbol{14}\), \(t=\boldsymbol{40}\)
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find the missing length. volume = 220.5 cm³ 7 cm 7 cm w w = cm
4.5
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find the missing length. volume = 1620 cm³ image of a rectangular prism…
20
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honors geometry 2nd nine weeks exam review multiple choice identify the…
B. \((-8,-1)\)
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$\\overleftrightarrow{qt}$ bisects $\\angle rtv$. complete the proof th…
$\triangle QTU \cong \triangle QTS$ by the AAS (Angle - Angle - Side) Congruence Postulate (Statement: $\triangle QTU \cong \triangle QTS$; Reason: AAS Congruence Postulate)
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for each set of three lengths, determine if they can be the side length…
- For 8, 16, 3: Cannot be side lengths of a triangle (select the "Cannot be side lengths of a triangle" option). - For 12, 14, 13: Can be side lengths of a triangle (select the "C…
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write the equation of the parabola that passes through the points shown…
\( y =-(x + 7)(x - 9) \)
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for each set of three lengths, determine if they can be the side length…
| Lengths | Can be side lengths of a triangle | Cannot be side lengths of a triangle | |---------------|-----------------------------------|--------------------------------------|…
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find the volume of the triangular prism. begin by finding the area of t…
60 ft³
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complete the proof that $\\triangle uwy \\cong \\triangle uxv$. image o…
$\triangle UWY \cong \triangle UXV$ (by ASA Congruence Postulate, using the congruent angles $\angle UWY \cong \angle UXV$, $\angle WUY \cong \angle VUX$ and included side $\overl…
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in the diagram, which is not drawn to scale, g is the incenter of △def …
\( 38 \)
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which of the following graphs represents a function? select all that ap…
b) The graph in option b, c) The graph in option c
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based on the figure to the right, explain why the following statement i…
D. Point P is the incenter of the triangle, so it is equidistant from the sides of the triangle. \( \overline{PQ} \perp \overline{AB} \) and \( \overline{PS} \perp \overline{AC} \…
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write the equation of this line in slope - intercept form.
$y = -\frac{1}{2}x + 5$
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using the figure to the right and the following side lengths, find the …
\( 8 \)
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in this blank graph of the business cycle, what does the red circled ar…
E. Recession
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$\\overline{tv} \\cong \\overline{uw}$, $\\angle tuw \\cong \\angle utv…
$\triangle UVW \cong \triangle TWV$ (by AAS, with the corresponding parts: $\overline{TV} \cong \overline{UW}$, $\angle UWV \cong \angle TVW$, and $\overline{VW}$ as the side or t…
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using the figure to the right and the following side lengths, find the …
\( 8 \)
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write the equation of this line in slope - intercept form write your an…
\(y=-x - 2\)
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the triangle shown below has an area of 10 units². find the missing len…
5
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find the value of x. x = \\square
\(x = 2\)
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what is the diameter of the inscribed circle of the triangle? the diame…
14
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look at this shape: image of a blue trapezoid - like shape on a grid wh…
C. The image labeled C
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which best describes the slope of a horizontal line? a) 0 b) positive c…
A) 0
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fill in the blanks, based on the figure to the right. complete parts a …
a. incenter b. 6
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given $m \\parallel n$, find the value of x.
\( x = 135 \)
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state if the two triangles are congruent. if 1)
Yes, the two triangles are congruent (by HL congruence criterion as they are right - angled, have a common hypotenuse, and equal legs).
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plot (2, 0), (-5, -2), (-5, 4), and (3, -1).
The points (2, 0), (-5, -2), (-5, 4), and (3, -1) are plotted on the coordinate grid as described in the steps.
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what is the distance between (-7, -5) and (-1, 5)? none of these $2\\sq…
$2\sqrt{34}$ (corresponding to the option "2√34")
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what is the distance between (-2, 2) and (2, 8)? none of these 2√13 4√2…
$2\sqrt{13}$ (corresponding to the option "2√13")
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the star - spangled banner became one of the nations best - loved patri…
"The Star - Spangled Banner" did not become the National Anthem until 1931. This was 117 years AFTER the bombing of Fort McHenry.
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what is the distance between (2, -3) and (0, 5)? ○ 4√7 ○ 2√17 ○ none of…
$2\sqrt{17}$ (corresponding to the option "2√17")
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10. even though he was a gifted inventor, nobel never attended a univer…
1. Sweden, the homeland of Alfred Nobel, is an interesting and beautiful country. 2. Do you have any idea how far north this country is? 3. Many North Americans are surprised to l…
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part 1 of 2 fill in the blanks, based on the figure to the right. compl…
To solve this, we analyze the triangle: ### Part a: In a triangle, the point where the perpendicular bisectors (or angle bisectors, medians, altitudes) meet is the **circumcenter*…
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) Corresponding angles: $\angle 2$ and $\angle 6$ (other valid pairs: $\angle 1$ & $\angle 5$, $\angle 3$ & $\angle 7$, $\angle 4$ & $\angle 8$) (b) Alternate exterior angles: $…
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what is the distance between (-2, 2) and (2, 8)? more of these 4√26 2√2…
$2\sqrt{26}$ (assuming the first point is $(-2, 2)$ and the second is $(2, 8)$; the option corresponding to $2\sqrt{26}$)
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what is the distance between (5, 3) and (-4, -3)? 9√13 13√9 3√13 none o…
$3\sqrt{13}$ (corresponding to the option "3√13")
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what is the volume of this sphere? round your answer to the nearest hun…
\(3591.36\)