Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find: tan a *the figure is not drawn to scale*
\(\frac{63}{60}\)
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t, u, and v are collinear. suppose u is between t and v and that the fo…
\(17\)
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step 4: possible demand scenarios for each of the following situations,…
6. R, Shifter: Income 7. L, Shifter: Number of buyers 8. L, Shifter: Price of a substitute good 9. R, Shifter: Consumer tastes or preferences 10. R, Shifter: Consumer tastes or pr…
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question #3 a rectangle has a perimeter of 30 in, length of 6 in. and a…
9 inches
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10 (13x - 20)° (7x)° a b d m∠abc = 1
\(110\)
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find a if xz = 68, xy = 12a - 4 and yz = 3a - 3.
\(a = 5\)
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tracys work 1. 16 = 2(2x) 2. 16 = 4x; x = 4 3. 8(4) = 32 4. gf = 2(32) …
She used \(GF = 2BG\), but the correct statement is \(BG = 2GF\).
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determine the distance between the points a(5, -1) and b(-3, 2).
\(\sqrt{73}\)
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use the points on the coordinate plane to find the distance dc.
The distance \(DC = 5\) units.
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the equation shown relates a, the area of a circle, to r, the radius of…
Formula \( r=\sqrt{\frac{A}{\pi}} \) A circle with an area of 78.5 square centimeters has a radius of \( 5 \) centimeters.
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the formula for the area of a triangle is ( a=\frac{1}{2}bh ), where ( …
\(5\) units
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determine whether a triangle with the given vertices is a scalene, isos…
(a) Isosceles triangle (b) Isosceles triangle (c) Scalene triangle
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in the figure below, \\( \\triangle rst \\) is drawn. the line \\( \\ov…
\(x = 58\)
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in rectangle klmn, km = 11√41 and lm/mn = 5/4. what is the length of kl?
\(44\)
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the edge length, in millimeters (mm), of cube y is 233 times the edge l…
C. \(54,289\)
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dilations have which operation? addition subtraction multiplication div…
Multiplication
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when the scale factor of a dilation is less than one, the dilation is a…
True
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when a(3, 6) is under a dilation of 2 what are the coordinates of a? (6…
\((6,12)\)
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trapezoid abcd is the dilation of trapezoid abcd. which algebraic repre…
\((x,y)\to(2x,2y)\)
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7. what additional information would you need to conclude that \\overle…
$\overline{AB}\cong\overline{BC}$
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6 solve for x 18 12 10.7 19.3
12
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5. solve for x. 85 degrees 45 degrees 90 degrees 65 degrees
45 degrees
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4. solve for y. 115° 5y° y = 93 degrees y = 103 degrees y = 23 degrees …
\(y = 23\) degrees
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note: figure not drawn to scale. in the figure, line ab is parallel to …
C. 126
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15. what is the formula to calculate the area of a rectangle? a. length…
A. length × width
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7. circle a coordinate pair and explain what it means in this situation…
- a. \((0,6)\) means when no packs of stickers are bought, 6 packs of pencils are available. - b. \((7,3)\) means when 7 packs of stickers are bought, 3 packs of pencils are left.…
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14. what is the formula to calculate the sum of interior angles of a po…
B. \(S=(n - 2)\times180^{\circ}\)
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4. solve for y. 115° 5y° y = 93 degrees y = 103 degrees y = 23 degrees …
\(y = 13\) (Wait, no, there is a mistake. Wait, actually, using the property of parallel lines: the angle \(115^{\circ}\) and \(5y^{\circ}\) are alternate - exterior and interior …
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question 10 in △abc, m∠a = 35°, ab = 4, and bc = 2. in △def, m∠d = 35°,…
No, \(\triangle ABC\) is not congruent to \(\triangle DEF\). The given information (SSA) does not satisfy any of the triangle congruence criteria (SSS, SAS, ASA, AAS, HL). SSA is …
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3. solve for y
\(4.53\)
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13. using the triangle inequality theorem, can a triangle be formed wit…
d. No
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2. what is the supplement of /a if m/a = 78°? 102° 78° 39° 12°
\(102^{\circ}\)
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12. which triangle has two equal sides and two equal angles? a. scalene…
B. Isosceles
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in \\( \\triangle a b c , m \\angle a = 4 3 ^ { \\circ } \\) and \\( m …
\(53\)
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1 solve for y 12 10.5 9 13.5
\(10.5\)
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11. the perimeter of a rectangle with a length of 10 units and a width …
B. 30
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use the diagram. select all valid congruence statements. □ a) ∠f ≅ ∠r □…
B. $\angle G\cong\angle T$, D. $\overline{ST}\cong\overline{HF}$, F. $\triangle HGF\cong\triangle TSR$
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name: date: period: score: directions: read each statement carefully. c…
1. b. \(11i\) 2. d. \(i\) 3. d. \(22 + 7i\) 4. \(a = 7\), \(b = 2\) (one possible pair) 5. d. \(2-4i\) 6. a. \(14-19i\) 7. c. \(5\) 8. c. \(2 + 12i\) 9. a. \(5+14i\) 10. c. \(9-40…
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10. which steps can be used to calculate the perimeter of shapes? a. fi…
B. Add up the lengths of all the sides.
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10. find the exact circumference of the circle. then use the approximat…
The exact circumference is \(18\pi\) miles and the approximate circumference is \(56.52\) miles.
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6. solve then graph the inequality: \\( \\frac { x + 3 } { 5 } < 2 \\)
The solution of the inequality is \(x<7\). On the number - line, there is an open circle at 7 and an arrow pointing to the left.
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9. which of the following are characteristics of a scalene triangle? a.…
B. All sides are of different lengths
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8. an angle that measures exactly 180 degrees is known as? a. obtuse b.…
d. Straight
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7 given point ( a(-4,3) ) and point ( b(-1,1) ), what is the distance b…
5 feet
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a student solved the problems in the steps below. write out the steps t…
The value of \(B\) (the area of the base) is \(30\space ft^{2}\), and the volume \(V\) of the triangular pyramid is \(80\space ft^{3}\).
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7. which angles are less than 90 degrees? a. straight angle b. right an…
d. Acute Angle
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6. to calculate the measure of an angle in a regular polygon with 12 si…
d. \(S=(n - 2)\times180^{\circ}\), then divide by \(n\)
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aviation two airplanes are flying search patterns, as described: - one …
LL (Leg - Leg)
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4 which pair of points would represent ( p_1 ) and ( p_2 ) on the graph…
\(P_1=(-3,-1)\) and \(P_2=(4,3)\)
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5. if two angles in a triangle measure 45 degrees and 60 degrees, what …
d. 75 degrees
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text to speech calculator highlighter >> what is ( mangle cbd )? ( mang…
55
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note: figure not drawn to scale. in the triangle shown, what is the val…
A. \(\frac{5}{69}\)
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3. which pair of points would represent ( p_1 ) and ( p_2 ) on the grap…
\(P_1=(1,3)\) and \(P_2=(3,-3)\)
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4. which of the following is a property of a scalene triangle? a. all a…
B. All sides are of different lengths
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2. what is the distance between the points m(-8,11) and n(3,7)? 18.7 10…
\(11.7\)
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3. which of the following is not a quadrilateral? a. triangle b. rhombu…
A. Triangle
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1. what is the midpoint m given s(-8, -6) and t(4, 12)? (-6, -9) (-1, -…
\((-2,3)\)
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in △pqr, pq = qr. if m∠p = (3x - 120)° and m∠r = (x - 30)°, classify △p…
B. obtuse, E. isosceles
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2. what is the term for a closed shape with straight sides? a. circle b…
d. Polygon
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1. the area of a square with a side length of 5 units is: a. 10 b. 20 c…
D. 25
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name: date: period: sc directions: read each statement carefully. choos…
1. b. \(11i\) 2. d. \(i\) 3. d. \(22 + 7i\) 4. \(a = 7\), \(b = 2\) 5. d. \(2-4i\) 6. a. \(14 - 19i\) 7. c. \(5\) 8. c. \(2 + 12i\) 9. a. \(5 + 14i\) 10. c. \(9 - 40i\)
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warm up! segment jm has endpoints ( a(-5,1) ) and ( m(7,-9) ). an equat…
2) \(y + 4=\frac{6}{5}(x - 1)\)
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find the perimeter and area of this figure. p = ? units a = units²
\(P = 18\) units, \(A = 14\) units\(^{2}\)
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what defines a compound shape? a. being a three - dimensional object b.…
C. Made up of two or more simple shapes
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architecture in an a - frame house, the roof extends to the ground leve…
\(60\)
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which formula represents the area of a triangle? a. base + height b. ba…
C. \(\frac{1}{2}\times\) Base \(\times\) Height
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find the perimeter and area of this figure. p = units a = units²
\(P = 22\) units, \(A=30\) units\(^{2}\)
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what is the area of a triangle with a base of 8 feet and a height of 4 …
A. 16 square feet
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question 2 bcpss_geometry_module5 which additional statements are requi…
C. $\overline{AB}\cong\overline{LK}$, E. $\overline{AC}\cong\overline{LM}$
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to calculate the area of a compound shape, you should: a. multiply its …
C. Divide it into simpler shapes and sum their areas
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find the circumference and area of this figure. c = ? units a = units² …
\(C = 6.28\) units, \(A=3.14\) units²
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the perimeter of a square can be calculated by: a. multiplying one side…
C. Multiplying one side by 4
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which is necessary to calculate the perimeter of a triangle? a. the are…
B. The length of all three sides
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7. if ( mangle3 = 153^{circ} ), then what are the measures of the remai…
\(m\angle1 = 153^{\circ},m\angle2 = 27^{\circ},m\angle4 = 27^{\circ}\) (the fourth option)
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6. which theorem would be used to write ( 3x + 7 + 68 = 180 ) in the di…
Consecutive Interior Angles Theorem
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which steps can be used to calculate the perimeter of shapes? a. add up…
A. Add up the lengths of all the sides.
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5 which theorem would be used to write 15x + 12 + 117 = 180 in the diag…
Consecutive Exterior Angles Theorem
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the area of a square with a side length of 5 units is: a. 10 b. 25 c. 1…
B. 25
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4 which of the following angle pairs would apply to the alternate inter…
$\angle3$ and $\angle5$
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the apothem of a polygon is: a. the line connecting two opposite vertic…
d. A line from the center to a side, perpendicular to that side
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what is the formula to calculate the area of a rectangle? a. base × hei…
d. length × width
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what does angle mean here? when installing crown molding on a vaulted c…
angle noun the space between two lines or planes that cross
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the area of a triangle can be found using the formula \\( \\frac { 1 } …
1. base 2. pentagon 3. composite 4. apothem 5. perimeter
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the total distance around a shape is known as its the amount of space e…
perimeter area regular length width
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problem 1: isosceles triangle - park sign design a city is designing a …
The total length of lights needed is \(16\) feet. Yes, it is possible to form the triangle with side lengths \(5\) feet, \(5\) feet, and \(6\) feet. ### Problem 2:
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problem 1: isosceles triangle - park sign design a city is designing a …
The total length of lights needed (perimeter) is \(16\) feet. Yes, it is possible to form the triangle with side - lengths \(5\) feet, \(5\) feet, and \(6\) feet.
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3 which angles would the consecutive interior angles theorem state are …
$\angle3$ and $\angle5$, $\angle4$ and $\angle6$ (the third option)
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2 which theorem would be used to write 4x + 4 = 92 in the diagram below…
alternate interior angles
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1. which angles would the alternate interior angles theorem state are c…
$\angle2$ and $\angle8$, $\angle3$ and $\angle5$ (the first option)
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which of the following has an undefined shape? a blob a circle
a blob
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7. ∠3 and ∠6 are ______ because they are ______ congruent/corresponding…
supplementary/same - side interior angles
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5 what is the measure of \\( \\angle 4 \\)?
\(80^{\circ}\)
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algebra i chapter 2 test please show all necessary work. missing work w…
\(x=-6\)
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△fgh and △ijk are shown below. which statement is true? △fgh is similar…
$\triangle FGH$ is similar to $\triangle IJK$.
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mark this and return save and exit next submit of circle q. using the c…
Use the compass to construct a circle centered at \(Q\) through point \(P\) and Use the compass to construct a circle centered at \(P\) through point \(Q\) are correct constructio…
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find the perimeter and area of this figure. p =? units a = units²
\(P = 12\) units, \(A=6\) units²
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what is line j called and what are ∠1 and ∠2? line j is the perpendicul…
Line \( j \) is the transversal and \( \angle1 \) and \( \angle2 \) are corresponding angles.
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identify the center and scale factor of the dilation. the black shape i…
Center: \((1,-1)\), Scale factor: \(2\)
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3. what is the measure of angle 1 in the picture below? 90 degrees 45 d…
45 degrees
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identify the center and scale factor of the dilation. the black shape i…
Center: \((4,-4)\), Scale factor: \(2\)