Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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estimate the measure of this angle within 10°.
150
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estimate the measure of this angle within 10°.
40°
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23. find the measure of ∠abd and ∠dbc given m∠abc = 77°. a 4x - 2 d 3x …
$\angle ABD = 42^{\circ}$, $\angle DBC = 35^{\circ}$
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estimate the measure of this angle within 10°.
45°
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triangle pqr is reflected over the y - axis to create triangle pqr. wha…
$(11,1)$
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use the image below to answer questions 10 - 13. 10 what is the locatio…
10. B. A(3, -2) 11. C. Point C 12. B. Point B 13. D. Point D 14. B 15. C
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15. find the midpoint between each pair of points. (-1, -5) and (-5, 9)…
$(-3,2)$ ### 16.
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sergei buys a rectangular rug for his living room. he measures the diag…
14.1 feet by 11.1 feet
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here is a diagram of a straightedge and compass construction. c is the …
The length of segment \(BD\) is the same as the length of segment \(AB\) because when constructing the circle with center \(B\), the compass was set to the length of \(AB\), and \…
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a point is translated on the coordinate plane from (4, -1) to (4,2). jo…
The point is translated 3 units up.
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what is the volume of the rectangular prism? cubic unit(s)
30
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use the image to answer the question. a = (-5,4) b = (-1,4) c = (-5,1) …
(-9,4)
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9 choose the best description of finding the location of the coordinate…
B. Travel 7 spaces right, then 2 spaces down
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a rectangles width is one - fourth of its length. its area is 9 square …
6 units
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what kind of translation has been performed to map quadrilateral abcd t…
Quadrilateral ABCD has been translated 9 units right and 3 units down.
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10. if ∠cde is a straight angle, $overline{de}$ bisects ∠gdh, m∠gde=(8x…
$x = 8$ $m\angle{GDH}=126^{\circ}$ $m\angle{FDH}=137^{\circ}$ $m\angle{FDE}=137^{\circ}$
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8 choose the two true statements about the coordinate shown below: (7, …
A. The 7 corresponds to the location of 7 on the x - axis D. The - 2 corresponds to the location of - 2 on the y - axis
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mei uses unit cubes to measure the volume of the box shown. she thinks …
Agree. The box's volume is 8 cubic units (2×2×2=8).
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a) how many points appear in the figure? ________ b) how many lines app…
a) 8 b) 12 c) 6 d) A, B, C (answers may vary) e) A, B, C, D (answers may vary) f) AB g) $\varnothing$ h) D
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find the length of the segments below. round to the nearest tenth (1 de…
For the segment with endpoints \((-2,-2)\) and \((1,3)\): \(5.8\) For the segment with endpoints \((-2,-3)\) and \((4,-4)\): \(6.1\) For the segment with endpoints \((1,3)\) and \…
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find the length of the segments below. round to the nearest tenth (1 de…
For the first segment (with endpoints $(-2,-2)$ and $(1,3)$), the length is approximately $5.8$. For the second segment (assuming endpoints $(-4,3)$ and $(0,3)$), the length is $4…
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find the area. 60 inches² 60 inches 88 inches 88 inches²
88 inches²
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1. use the diagram to answer the following questions. a) how many point…
a) 8 points b) 12 lines c) 5 planes d) A, E, D e) A, B, C, F f) AB g) $\varnothing$ h) D
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find the length of the segments below. round to the nearest tenth (1 de…
$5.8$
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3. use the diagram to answer the following questions. a) how many point…
a) 8 points b) 12 lines c) 6 planes d) A, D, G (example of three collinear points) e) A, B, C, E (example of four coplanar points) f) Line AB g) A line (conceptual intersection of…
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select the correct choice below and, if necessary, fill in the answer b…
A. The slope of the line is $m = 0$
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state the coordinates of the point.
$(4,0)$
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a clock is constructed using a regular polygon with 60 sides. the polyg…
$42^{\circ}$
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f is the midpoint of $overline{eg}$. if $fg = 6x - 2$ and $eg = 7x + 8$…
$12\frac{2}{5}$
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which lines are parallel? justify your answer lines a and b are paralle…
Lines a and b are parallel because their corresponding angles are congruent.
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lines c and d are parallel lines cut by transversal p. which must be tr…
∠2≅∠6
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tyler uses 6 triangles and 1 hexagon to create the sun shown. draw a ta…
- Ratio of triangles to hexagons: 6:1 - Ratio of hexagons to total shapes: 1:7 - For 2 suns, number of triangles = 12, number of hexagons = 2
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lesson 4 practice problems 1. select all the statements that must be tr…
C. If the scale factor between P and Q is $\frac{1}{3}$, then each side length of P is multiplied by $\frac{1}{3}$ to get the corresponding side length of Q.
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1 fill in the blank 2 points points c, h, and w are collinear. point w …
$x = 13$ $HW = 46$
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test 2 - chapter 2 score: 12/15 answered: 15/15 × question 15 score on …
$(x - 3)^2+(y + 2)^2=121$
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finding a pre - image. the image of a figure is shown. what are the coo…
$(3.2,0.6)$
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complete the square to rewrite the equation of the circle in standard f…
\((x + 2)^{2}+(y - 5)^{2}=9\)
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given: ∠tsr and ∠qps are right angles; ∠t ≅ ∠q. prove: △tsr ≅ △qps. ste…
of the AAS congruence theorem.
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finding a pre - image. the image of a figure is shown. what are the coo…
$(5.2,0.6)$
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willa is making sandcastles with her little brother at the playground. …
$30\pi$ in.$^{3}$
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are the triangles congruent? why or why not? yes, all the angles of eac…
C. No, ∠B is not congruent to ∠Q.
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1. use the diagram below to complete each part. ** this is a 2 - page d…
a) Vertex of ∠4: B b) Sides of ∠1: $\overrightarrow{BA}$, $\overrightarrow{BD}$ c) Another name for ∠5: ∠EBD d) Classification of ∠FBC and ∠EBF: Obtuse angles e) Angle bisector: C…
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graph the inequality on a number line. - 5≤x≤4. choose the graph of the…
The correct graph is the one with a closed - circle at $x=-5$, a closed - circle at $x = 4$, and a line segment between them. Without seeing the exact details of each option in a …
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given △abc with $overline{ab}$ contained in the line $2x + 3y = 5$. if …
$2x + 3y = 10$
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jane builds a ramp made of a triangular prism and a rectangular prism. …
$11.5\ m^{3}$
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the order of these transformations under the two sets of transformation…
The order does not matter.
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solve the compound inequality. graph the two inequalities on the first …
The graph with a closed - circle at 5 and an arrow pointing to the right is the correct graph for $x\geq5$. Without seeing the exact options clearly labeled, if we assume the stan…
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which rigid transformation would map △mzk to △qzk? a rotation about poi…
C. a reflection across the line containing $\overline{ZK}$
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14. a rectangle has a perimeter of 36 units. a. create a table that sho…
a. | Length ($l$) | Width ($w$) | |----|----| | 1 | 17 | | 2 | 16 | | 3 | 15 | | 4 | 14 | | 5 | 13 | | 6 | 12 | | 7 | 11 | | 8 | 10 | | 9 | 9 | b. The sum of length and width in e…
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test 2 - chapter 2 score: 3/15 answered: 3/15 question 4 find the slope…
2
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∠abc is a straight angle. find m∠abx and m∠cbx. (14x + 70)° (20x + 8)° …
$m\angle ABX = 112^{\circ}$ $m\angle CBX = 68^{\circ}$
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the focus, (0, -2), and directrix, x = 6, of a parabola are graphed bel…
\(x=-\frac{1}{12}(y + 2)^2+3\)
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writing a rule for a translation. which rule describes the translation?…
$T_{3,-2}(x,y)$
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fh bisects ∠efg. find the indicated angle measures. m∠efh = 63 °. find …
$m\angle GFH = 63^{\circ}$ $m\angle EFG = 126^{\circ}$
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the focus, (0, -2), and directrix, x = 6, of a parabola are graphed bel…
\(x =-\frac{1}{12}(y + 2)^{2}+3\)
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find m∠rsq and m∠tsq. (15x - 43)° (8x + 18)° m∠rsq = (square^{circ}) m∠…
$m\angle RSQ = 32^{\circ}$ $m\angle TSQ = 58^{\circ}$
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a rectangle has a perimeter of 30 units. a. create a table that shows t…
a. See the table above. b. The sum of length and width in each row is 18. As length increases, width decreases to keep perimeter constant. c. Equation: $w = 18 - l$. Independent v…
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problem 6 1. how did you move your hand to find ∠x? what is its measure…
1. You can use the vertical - angle property to find ∠x. Its measure is 117°. 2. They are called vertical angles because they are opposite each other when two lines intersect. The…
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find the angle measure. m∠bod = classify the angle. ∠bod is a(n) angle.
$m\angle BOD = 60^{\circ}$ $\angle BOD$ is an acute angle.
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determining translations on the coordinate plane. what is the y - coord…
$1$
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determining translations on the coordinate plane what is the y - coordi…
0
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if v × w = ⟨2, - 2, - 3⟩ and v · w = 4, find tan(θ), where θ is the ang…
$\frac{\sqrt{17}}{4}$
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solve for x and graph the solution on the number line below. 3 > -x - 3…
Inequality Notation: $-6 < x<2$ (For graphing on the number - line, you would place open circles at - 6 and 2 and draw a line segment between them.)
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8. sara purchased a porcelain sculpture that is in the shape of a squar…
$119.0$ square inches
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problem 3 complementary angle 1. how do you know that the two indicated…
1. Complementary angles are two angles whose sum is 90°. We know this from the definition of complementary angles. 2. The measure of \(x\) is \(9^{\circ}\).
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comparing familiar area formulas blanca calculated the height of the eq…
The apothem, rounded to the nearest tenth, is \(4.3\) units. The perimeter of the equilateral triangle is \(30\) units. The area of the equilateral triangle is \(\frac{1}{2}\times…
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35. a shipping container in the shape of a rectangular prism is 60 feet…
1. Volume of the shipping container: 3780 cubic feet 2. Area of the polygon: 322 square millimeters 3. Perimeter of the rectangle: 16 units 4. For drawing polygon ABCDEF: - Plot p…
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write the coordinates of the vertices after a reflection over the x - a…
E'(1,3), F'(3,3), G'(2,7)
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let (p=(0,0,0)), (q=(1, - 1,-2)), and (r=(-1,1,1)). find the area of th…
$\frac{\sqrt{2}}{2}$
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problem 1 1. how do you know that the two indicated angles are suppleme…
1. They form a linear - pair, sum is 180°. 2. ∠x = 135° 3. They are equal, called corresponding angles. 4. ∠y = 135°
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6 - mi - ta - lesson 2 1. draw a tape diagram to represent the total nu…
6 tablespoons of olive oil.
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read the excerpt from chapter 5 of the adventures of huckleberry finn, …
It helps the reader see Huck’s father through Huck’s eyes.
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area in the coordinate plane quick check to the nearest tenth, what is …
40
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triangle abc has been translated 5 units to the right followed by a 90°…
The coordinates of A are (-7,3) The coordinates of B are (-6,5) The coordinates of C are (-4,4)
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consider quadrilateral wxyz plotted on the grid below. perform the foll…
The coordinates of $W'$ are:$(6,-2)$ The coordinates of $X'$ are:$(4,-6)$ The coordinates of $Y'$ are:$(2,-2)$ The coordinates of $Z'$ are:$(4,0)$
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triangle jkl is graphed on a coordinate plane, as shown. the triangle i…
Angles J, J', J'', and J''' are congruent.
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which figure is a translation of figure 1? figure
4
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terry made a plastic box - house with the dimensions shown below. how m…
There is an error in the given options as the correct answer should be 312 square inches. But if we assume some mis - reading or wrong values in our calculation and re - check bas…
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triangle qrs is graphed on a coordinate plane with vertices at (-3, 3),…
The area of $Q''R''S''$ is the same as the area of $QRS$; Point $S''$ is located in Quadrant III; Angles $Q$, $Q'$, $Q''$ are congruent.
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costa rica indica si las siguientes oraciones sobre costa rica son cier…
1. F 2. F 3. T 4. T 5. T
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examining translations which figure is a translation of figure 1? figure
2
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consider quadrilateral abcd with vertices at coordinates a (6, 3), b (6…
A':(-6,3) B':(-6,9) C':(-9,9) D':(-9,3)
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consider △abc with a (-4, 2), b (-4, -1), and c (-2, -1) plotted on the…
The coordinates of $A'$ are $(4,-1)$ The coordinates of $B'$ are $(1,-1)$ The coordinates of $C'$ are $(1,-3)$
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16. select the correct answer. choose the correct scientific notation f…
$9.8\times10^{5}$ (Note: The second part of the image about the influenza - virus mass is cut off, so only the first question about the population of Circle Town is answered. If y…
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quadrilateral abcd is a parallelogram. de = 6.1 cm and m∠dab = 120°. wh…
BC: 5 cm m∠BCD: 120° AB: 10 cm EB: 6.1 cm
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read the excerpt from part 3 of an occurrence at owl creek bridge. his …
C. Farquhar's escape is a fantasy or a dream.
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the sector shows the area of a lawn that will be watered by a sprinkler…
26.2 square feet
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1. what point on the coordinate plane shown below has an ordered pair (…
Wednesday Q3: B. numerical data that changes over time Wednesday Q5: C. line plot Thursday Q1: C. 8 and 9 Thursday Q3: A. What type of books do you like best: fiction or nonfictio…
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a rectangular swimming pool has a length of 48 feet and a width of 36 f…
D. 60 feet
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which pair of transformations could map △abc to △abc, such that the tri…
B. a dilation and a rotation
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solve the inequality and graph the solution on the line provided. -14 +…
Inequality Notation: $x>4$ Number Line: An open - circle at 4 and a line extending to the right.
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what is the missing side length of this right triangle? type the answer…
12 in.
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prepare to read key vocabulary circle a number to rate how well you kno…
1. to separate into pieces 2. to make something clear 3. to hurt or yell at someone 4. to hurt
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multiple choice 1 point determine which is a good definition: a triangl…
A. A triangle is a closed three sided figure.
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7 multiple choice 1 point determine which of the following is a good de…
A. An even number is divisible by two.
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6 multiple choice 1 point identify one of the two original conditionals…
If an angle is a right angle, then it measures ninety degrees.
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solve the inequality and graph the solution on the line provided. -5 + …
Inequality Notation: $x\leq - 3$ Number Line: Plot a closed - circle at $-3$ and draw a line to the left.
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solve the inequality and graph the solution on the line provided. 4x + …
Inequality Notation: $x < - 4$ Number Line: Plot an open - circle at - 4 and draw a line to the left.
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find the value of x. 14 6 3x - 12 21 x = ?
$7$
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15. 6x + 13° 14x - 33° x = ____ complementary supplementary 20. 37°
\(10\)