Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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which statement is not one of the axioms of euclidean geometry? a. give…
D. If two planes intersect, their intersection is a point.
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select the correct answer from the drop - down menu. what is the rule p…
absolute value (of the difference)
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drag the tiles to the correct boxes to complete the pairs. match each d…
- line segment: a part of a line that begins at one point and ends at another point - perpendicular line: a line that intersects another line at a right angle - circle: the set of…
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which statement is true regarding the graphed functions?
The functions \( f(x) \) and \( g(x) \) intersect at \( (0,0) \) (or \( f(0) = g(0) = 0 \)). (Since the problem's options are not provided, but based on the graph, the key true st…
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12. find the area of a circle with a diameter of 12 meters.
The area of the circle is \( 36\pi \) square meters (or approximately \( 113.04 \) square meters).
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regarded as the father of geometry; thales; a greek philosopher who con…
To solve the matching (assuming the task is to pair each figure with their description): - **Thales**: "a Greek philosopher who contributed to five theorems of elementary geometry…
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by which angle must \\( \\overline{ab} \\) turn about point a in the cl…
B. \(180^{\circ}\)
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circle 3 things you observe in the image.
Three observable things: 1. The horse (with saddle), 2. The kneeling person (helping another), 3. The snowy ground (or trees in the background). (Note: The actual circling would b…
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select the correct answer. given ( angle woa cong angle aoz ) prove ( a…
A. \(\angle AOZ \cong \angle XOB\)
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a. plot the following points on the number line without measuring. i. \…
i. $\frac{7}{12} > \frac{1}{2}$ ii. $\frac{7}{12} < \frac{5}{6}$
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a rectangle has an area of 40 square units. the length is 6 units great…
B. 10 by 4
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describing dilations date ______ page 2 keep going! each coordinate pla…
(for Problem 5): The preimage triangle \( LNM \) is dilated by a scale factor of 4 with the center at the origin to form the image triangle \( L'N'M' \). (For Problem 6, after cor…
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1. a. plot the following points on the number line without measuring. i…
To plot the points: - \(\boldsymbol{\frac{1}{3}}\) (or \(\frac{4}{12}\)): 4 twelfths from 0, between 0 and \(\frac{1}{2}\). - \(\boldsymbol{\frac{7}{12}}\): 7 twelfths from 0, bet…
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a rectangles width is 2 meters shorter than its length, l. its area is …
\( l(l - 2)=168 \) (the first option)
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solve for x to the nearest tenth. answer attempt 2 out of 2
\( \boxed{4.4} \)
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determine whether triangles abc and dbe are similar by following these …
3
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a rectangle’s length is 5 inches more than twice its width. its area is…
C. \( w(2w + 5) = 50 \) (assuming the third option is labeled C; if original labels differ, adjust to match, e.g., if third option is C, then C. \( w(2w + 5) = 50 \))
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for each number below, is it even or odd? 391 \todd \teven 82 \todd \te…
- 391: Odd (select the circle under Odd) - 82: Even (select the circle under Even) - 38: Even (select the circle under Even) - 24: Even (select the circle under Even) - 646: Even …
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2. to use sas similarity, ab and cb must be dropdown with options: grea…
proportional to
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20. triangle abc has sides ab = 8x, ac = 12, and bc = 15. triangle def …
d. 3
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an architect designs a diagonal path across a rectangular patio. the pa…
\(x^{2}+(x + 5)^{2}=841\) (the last option: \(x^{2}+(x + 5)^{2}=841\))
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these 3 angles form a straight angle. what is the sum of these 3 angles…
180
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17. which pair of coordinates would have the longest distance between t…
a. (1,1) and (3,4)
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triangle qrs is formed by connecting the midpoints of the side of trian…
\( 3 \)
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15. which similarity criterion is used to prove that △xyw ~ △xyz ~ △yzw…
b. AA
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find the measure of the indicated angle to the nearest degree. 44) a) 3…
C) $50^\circ$ ### Problem 45:
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triangle mno is formed by connecting the midpoints of the side of trian…
\( 2 \)
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determine whether triangles abc and dbe are similar by following these …
congruent to
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: $1\frac{4}{5}$ (b) Improper fraction: $\frac{9}{5}$
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13. what is the radius of the circle with the equation ((x + 3)^2 + (y …
a. 6
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triangle qrs is formed by connecting the midpoints of the side of trian…
\( 67^\circ \)
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triangle stu is formed by connecting the midpoints of the side of trian…
The perimeter of triangle \( PQR \) is \( \boldsymbol{16} \).
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use the given information to prove that \\(overline{ef} \\cong overline…
To prove \( \overline{EF} \cong \overline{GD} \): 1. **Given**: \( \overline{EF} \parallel \overline{GD} \) and \( \overline{FG} \parallel \overline{DE} \) (so \( DEFG \) is a par…
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a kite is flying 12 ft off the ground. its line is pulled taut and cast…
13.9
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name the angles that are related to angle y in the following ways. angl…
Vertical: \( x \); Supplementary: \( w \); Alternate Interior: \( e \) (Wait, but maybe the correct alternate interior is \( g \). Wait, no, let's re - check. The problem is to na…
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a 33-m tall building casts a shadow. the distance from the top of the b…
\(18.8\)
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a 12-ft ladder leans against the side of a house. the bottom of the lad…
\(9.7\)
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5. what is the definition of congruence? the property of two figures ha…
\( 90^\circ \) ### Problem 10
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ky found the following ratios. \\(\\frac{pq}{ef} = \\frac{9}{18}\\) \\(…
Yes, the triangles are similar by the SSS similarity theorem.
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10. a trapezoid with vertices a(1, 2), b(3, 2), c(4, 4), and d(0, 4) is…
\(\frac{1}{2}\) (corresponding to option b)
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9. a line segment with endpoints p(1,2) and q(3,4) is dilated with a sc…
c. (1.5, 2)
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one of the solutions of the system of equations shown in the graph has …
-3
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kyla makes a triangular school pennant. the area of the triangle is 180…
30 inches (Option: 30 inches)
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a computer company makes a rectangular screen with a diagonal of 20 inc…
\(x = 16\) (corresponding to the option D. \(x = 16\) if options are labeled as A, B, C, D with D being \(x = 16\); here the correct option is the one with \(x = 16\))
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a rectangles length is 2 units more than twice its width. its area is 4…
4 units
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4. which of the following points lies on the circle with equation ((x -…
d. (4, 4)
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find the missing side. round to the nearest tenth. 38) a) 35.6 b) 35.7 …
B) 35.7 ### Problem 39
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which figure is a translation of figure a? figure b figure c figure d
Figure C (assuming Figure C is the one that matches the translation criteria as analyzed. If options were labeled, e.g., if Figure C was an option like "C. Figure C", then the ans…
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use technology to find points and graph the line $y + 3x = -1$, followi…
Two points on the line \( y + 3x=-1 \) are \( (0,-1) \) and \( (1,-4) \) (or other valid points like \( (-1,2) \) etc.). To graph the line, plot these points on the coordinate pla…
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given that \\(\\frac{df}{pr} = \\frac{fe}{rq} = \\frac{3}{2}\\), what a…
\(\boldsymbol{\frac{DE}{PQ}=\frac{3}{2}}\) (the fourth option: \(\frac{DE}{PQ}=\frac{3}{2}\))
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each coordinate plane below shows a preimage and its dilated image. all…
s (for each problem): ## Problem 2: Quadrilateral NOPQ was dilated by a scale factor of \( \frac{1}{4} \) centered at the origin to form quadrilateral N'O'P'Q'. ## Problem 3: Tria…
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given: if two lines intersect at a point o, and m∠dox = m∠box, then m∠a…
The proof uses the vertical angles theorem and angle addition postulate to show that if $m\angle DOX = m\angle BOX$, then $m\angle AO X = m\angle CO X$. The key steps are identify…
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14. a line that passes through parallel lines is called a _______. a) t…
a) transversal ### Question 15
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2 construct a line perpendicular to line xy through point s.
The perpendicular line is constructed as described above (visually, a vertical line through point \( S \) on the horizontal line \( m \)).
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lines ac and de are parallel, and ab and cb are transversals. how did y…
To find \( \angle b \), use alternate interior angles (since \( AC \parallel DE \), \( \angle b \) equals its alternate interior angle with \( AC \)). For \( \angle d \), use the …
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algebra 2a semester online practice complete this assessment to review …
all values of \( x \) such that \( x>3 \)
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11. name the angle relationship. a) alternate exterior b) vertical angl…
b) Vertical Angles ### Question 12
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lines ac and de are parallel, and ab and cb are transversals. what is t…
180
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algebra 2a semester online practice complete this assessment to review …
all values of \( x \) such that \( x < - 2 \) or \( x > 3 \) (the first option)
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use technology to find points and graph the line $4y + x = 16$, followi…
Two points on the line \( 4y + x = 16 \) are \( (16, 0) \) and \( (0, 4) \). (To graph, plot these two points and draw a line connecting them.)
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find the missing side of each triangle. round your answers to the neare…
\(5\) m ### 33)
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9. calculate ( mangle def ). a) ( 180^circ ) b) ( 80^circ ) c) ( 120^ci…
c) 120° ### Question 10
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28. what is one strategy a student should adopt to keep track of online…
The correct option is the one with "schedule and highlight due dates on a calendar" (the second option from the left, with the yellow - filled circle).
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use technology to find points and graph the line $-4y = -2x + 8$, follo…
Two points on the line \(-4y=-2x + 8\) (or \(y=\frac{1}{2}x - 2\)) are \((0,-2)\) and \((4,0)\) (other valid points can also be used, like \((2,-1)\) etc.). When graphing, plot th…
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7. \\(\\overrightarrow{hk}\\) bisects \\(\\angle ghj\\). find \\(m\\ang…
b) \( m\angle GHK = 80.5 \), \( m\angle KHJ = 80.5 \) ### Question 8
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5. $m\\angle nad = 138^\\circ$ and $m\\angle eah = 88^\\circ$. find $m\…
b) \( 50^\circ \) ### Question 6
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what is the approximate length of arc s on the circle below? use 3.14 f…
69.1 ft
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use technology to find points and graph the line $2y = -3x + 8$, follow…
Two points on the line \(2y=-3x + 8\) are \((0,4)\) and \((2,1)\) (other valid points can also be used, e.g., \((\frac{8}{3},0)\) and \((0,4)\)). To graph the line, plot the point…
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24 when milo starts his first online course, he will quickly become awa…
the teacher (the option with the orange - filled circle, labeled "the teacher")
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worksheets name class date 1. find hg. a) 8 b) 10 c) 11 d) 9 2. what do…
d) 9 ### Question 2
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name: ___________________________ period: ____ date: _________ reviewer…
1. The radii of both circles are equal in length. 2. Triangles \( ABC \) and \( ABD \) are equilateral triangles. 3. The line segment \( CD \) is the perpendicular bisector of \( …
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given $m\\parallel n$, find the value of x. answer attempt 1 out of 2 $…
\( x = 13 \)
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solve for the value of q. (2q - 3)° (5q + 2)° answer attempt 1 out of 2…
\(q = 13\)
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use the drop-down menus to explain if the two figures below are congrue…
The two figures are similar, and the scale factor is \( \boldsymbol{2} \) (from the small trapezoid to the large trapezoid) or \( \frac{1}{2} \) (large to small, but typically sca…
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the diagram shows two parallel lines cut by a transversal. one angle me…
To determine angle \( z \): 1. The given angle (e.g., \( 30^\circ \)) and its linear - pair angle are supplementary (\( 180^\circ - 30^\circ=150^\circ \)). 2. Since the lines are …
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the diagram shows two parallel lines cut by a transversal. one angle is…
45 (Wait, no, maybe 135. Wait, I'm confused. Wait, maybe the correct answer is 45. Or 135. Wait, maybe the diagram has a 45° angle, so z is 135°? No, maybe the angle is 135°, so z…
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find the perimeter of $\\triangle nop$. round your answer to the neares…
The perimeter of $\triangle NOP$ is $\boxed{182.5}$
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solve for x. round your answer to the nearest tenth if necessary. figur…
\(x\approx60.5\)
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find the area of each. 29) 1.9 cm 6 cm 30) 1.9 m 3 m 3.9 m 31) 7.8 cm 8…
s: 29) \( \boldsymbol{5.7 \, \text{cm}^2} \) 30) \( \boldsymbol{8.7 \, \text{m}^2} \) 31) \( \boldsymbol{67.08 \, \text{cm}^2} \)
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the diagram shows two parallel lines cut by a transversal. one angle me…
To determine the measure of angle \( y \) when two parallel lines are cut by a transversal: 1. **Identify the angle relationship**: - If angle \( y \) and the given angle are vert…
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solve for x. round your answer to the nearest tenth if necessary. figur…
\(x \approx 58.2\)
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classify each number below as a rational number or an irrational number…
- For \(-\sqrt{16}\): Mark the "rational" circle. - For \(-71.\overline{28}\): Mark the "rational" circle. - For \(\sqrt{2}\): Mark the "irrational" circle. - For \(7\pi\): Mark t…
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27) a) reflection across the y-axis b) translation: 1 unit right c) rot…
D) translation: 3 units right and 1 unit up ### Problem 28:
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if ge = 79, ef = 70, gf = 84, hi = 35, and ji = 42, find the perimeter …
116.5
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quadrilateral hijk is similar to quadrilateral lmno. find the measure o…
33.6
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 6\)
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question in the diagram below of triangle rst, u is the midpoint of \\(…
\( 39 \)
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in the diagram below of triangle abc, d is the midpoint of \\(\\overlin…
\( 56 \)
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the measures of the angles of a triangle are shown in the figure below.…
\( x = \frac{35}{8} \) (or 4.375)
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in the diagram below of triangle tuv, w is the midpoint of \\(\\overlin…
The measure of \( \overline{TU} \) is \( \boldsymbol{46} \).
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26) a) translation: 1 unit right and 2 units up b) rotation 180° about …
D. reflection across the x - axis
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classify each number below as a rational number or an irrational number…
- $\sqrt{9}$: rational (select the circle under "rational") - $46.83$: rational (select the circle under "rational") - $-6\pi$: irrational (select the circle under "irrational") -…
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in the diagram below of triangle uvw, x is the midpoint of \\(\\overlin…
\( 31 \)
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triangle nop is similar to triangle qrs. find the measure of side sq. r…
\( \approx76.4 \)
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topic: unit circle trigonometry progress: the movement of the progress …
D. $-\sqrt{3}$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(- 2\)
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question in the diagram below of triangle vwx, y is the midpoint of \\(…
The measure of \( \angle XWV \) is \( 48^\circ \).
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final exam the length of a rectangle is 4 meters less than twice the wi…
The width is \( \boldsymbol{12} \) meters. The length is \( \boldsymbol{20} \) meters.
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in the diagram below of triangle ghi, j is the midpoint of \\(\\overlin…
The measure of \( \overline{JK} \) is \( 12 \).
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triangle jkl is similar to triangle mno. find the measure of side no. r…
\(76.6\)