Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the longer base of a trapezoid has endpoints of (-2,-4) and (4,0). the …
$y=\frac{2}{3}x - 1$
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which equation can be used to solve for b? b = (8)tan(30°) b = 8 / tan(…
\(b=(8)\tan(30^{\circ})\)
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19 a landscaper is putting a border on each side of a triangular garden…
A. A. $2\sqrt{(5 - 7)^2+(5-(-3))^2}$ B. C. $\$79$
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a b c c 5 in. 35° b c=(5)cos(35°) c = \\frac{5}{cos(35°)} c=(5)sin(35°)…
\(c=\frac{5}{\cos(35^{\circ})}\)
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right triangle abc is shown. which equation can be used to solve for c?…
$\sin(50^{\circ})=\frac{3}{c}$ (corresponding to the first option)
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which equation can be used to solve for b? o tan(30°) = 5/b o tan(30°) …
$\tan(30^{\circ})=\frac{5}{b}$
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which relationship in the triangle must be true? a b c c a b o sin(b) =…
$\sin(B)=\cos(90 - B)$
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16 given the quadrilateral, find the area. let the units be in feet.
$22500$ square feet
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15 three vertices of a quadrilateral are given: a(2,3), b(7,5), and c(9…
$(4,-1)$
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this question has two parts. first, answer part a. then, answer part b.…
$700$ For Part B: The side of the play area that is adjacent to the house does not need fencing. The remaining 3 sides of the play area on the grid have lengths of 4, 5, and 5 uni…
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a right triangle has a 30° angle. the leg adjacent to the 30° angle mea…
14.4 in.
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some steps to construct an angle mnt congruent to angle pqr are listed …
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
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a right triangle has one side that measures 4 in. the angle opposite th…
B. 4.1 in.
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what is the approximate value of x? round to the nearest tenth. what is…
$4.6$ cm
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12 to finish the parallel - line construction below, what would be done…
D. copy segment \(DB\) and make a circle at \(E\) with radius \(DB\)
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the coordinate grid below shows triangle abc and its image after transl…
y - 3
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prompt explain how to solve the problem below. in your response, you mu…
$6.1$ feet
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determining height from a shadow a building in a downtown business area…
55
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question 10 of 10 the timeline below shows some events of the war of 18…
B. The Battle of Baltimore
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determining height from a shadow a building in a downtown business area…
50
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about 5 cm shorter than 5 centimeters from 5 to 10 centimeters longer t…
Shorter than 5 centimeters
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calculating a change in length diana works in a building that is 130 fe…
17.6 ft
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writing equations using trigonometric ratios. which equations could be …
$\sin(45^{\circ})=\frac{BC}{9}$
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i - ready practice: estimate lengths — quiz — level b about 1 inch shor…
From 4 to 7 inches
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analyzing student work kevin was asked to determine the length of side …
He has the side lengths in the wrong place in the cosine ratio.
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solving for measures of right triangles. use the diagram to complete th…
The measure of angle L is \(70\)°. The trigonometric ratio that uses \(\angle M\) and \(LN\) to solve for \(NM\) is \(\tan\). The length of \(NM\), to the nearest tenth, is approx…
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solving problems using trigonometric ratios a 25 - foot long ladder is …
23.8 ft
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solving problems using trigonometric ratios a 25 - foot long ladder is …
The second diagram from the left.
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about 10 cm shorter than 10 centimeters from 10 to 20 centimeters longe…
Shorter than 10 centimeters
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calculating unknown lengths of right triangles the measure of angle a i…
$AC = 29.9$ $AB = 30.9$
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about 5 cm shorter than 5 centimeters from 5 to 10 centimeters longer t…
Shorter than 5 centimeters
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practice using trigonometric ratios to solve for missing lengths. which…
$XY=\frac{22}{\cos(41^{\circ})}$
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about 5 cm shorter than 5 centimeters from 5 to 10 centimeters longer t…
Longer than 10 centimeters
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about 1 inch shorter than 5 inches from 5 to 10 inches longer than 10 i…
From 5 to 10 inches
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use a two - dimensional model and the dimensions provided to calculate …
perimeter = $25.8$ cm area = $28.4$ $cm^{2}$
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finding the length of a shadow a water tower is 52 meters tall and the …
62
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applying trigonometry to solve real - world problems miguel needs to fi…
C. 24 ft
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the shape is cut into 6 equal parts. what fraction of the shape is shad…
$\frac{3}{6}$
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determining missing components of right triangles. use the information …
$HI = 23.3$, $GH = 18.9$
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applying trigonometric ratios to estimate side lengths rounded to the n…
$2.7$
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about 3 cm shorter than 9 cm between 9 and 18 cm longer than 18 cm
Shorter than 9 cm
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about 3 cm shorter than 9 cm between 9 and 18 cm longer than 18 cm
Between 9 and 18 cm
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about 3 cm shorter than 9 cm between 9 and 18 cm longer than 18 cm
Shorter than 9 cm
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estimate lengths in centimeters — quiz — level b about 5 cm 9 cm 14 cm …
14 cm
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11. 8x + 12 in. 12x - 18 in. 12. 7x - 4° 5x + 8° 13. 13x + 2° 15x - 2° …
11. $x = 7.5$ 12. $x=\frac{43}{6}$ 13. $x = 2$ 14. $x=\frac{20}{3}$ 15. $x = 100^{\circ}$, $y = 52^{\circ}$, $z = 28^{\circ}$
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i - ready estimate lengths in centimeters — quiz — level b about 5 cm 9…
13 cm
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estimate lengths in centimeters — quiz — level b i-ready about 5 cm 4 c…
8 cm
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the figure shown is a right rectangular pyramid, where l = 16 units, w …
560
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identifying trigonometric ratios to estimate side lengths what are the …
$\sin(20^{\circ})=\frac{LN}{8}$, $\cos(70^{\circ})=\frac{LN}{8}$
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about 5 cm, shorter than 5 cm, between 5 and 10 cm, longer than 10 cm
Between 5 and 10 cm
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note : figure not drawn to scale. the figure shown is a right rectangul…
560
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about 5 cm, shorter than 10 cm, between 10 and 15 cm, longer than 15 cm
Longer than 15 cm
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the figure shows a rectangular pool surrounded by a concrete path that …
a. 3
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about 5 cm, shorter than 5 cm, between 5 and 10 cm, longer than 10 cm
Shorter than 5 cm
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determining trigonometric ratios. consider △dfe. what are the inputs or…
$\sin(F)=\frac{4}{5}$, $\cos(F)=\frac{3}{5}$, $\tan(D)=\frac{3}{4}$
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here are three solids. a. cube image b. pyramid image c. rectangular - …
1. a 2. None 3. b 4. c
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geometry, measurements, data analysis parts of solids here are three so…
1. a 2. b 3. c 4. None
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here are three solids. for each net below, select the solid above to wh…
1. None 2. c 3. a 4. b
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given right triangle xyz, which correctly describes the locations of th…
a is adjacent, b is opposite, c is the hypotenuse
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given right triangle jkl, what is the value of cos(l)?
A. \(\frac{5}{13}\)
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in the figure, line q is parallel to line r, and both lines are interse…
c. 70
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what will be the new point location of point (5,-6) after a reflection …
$(-3,-3)$
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given right triangle def, what is the value of sin(e)?
$\frac{3}{5}$
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using the side lengths of △pqr and △stu, which angle has a sine ratio o…
$\angle P$
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about 10 cm, shorter than 20 cm, longer than 20 cm, about 20 cm
Shorter than 20 cm
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two students describe the sides of right triangle abc in relation to ∠b…
A. Tomas is correct; $\overline{AC}$ is opposite $\angle B$ and $\overline{BC}$ is adjacent to $\angle B$.
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about 10 cm shorter than 20 cm longer than 20 cm about 20 cm
Shorter than 20 cm
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about 10 cm shorter than 20 cm about 20 cm longer than 20 cm
Shorter than 20 cm
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2-18 determine the area of each of the following figures. assume that a…
34 square feet
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monday - geometry identify the transformation that creates the congruen…
$(-3,-3)$
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the scale factor from the original figure to its scaled copy is 3. draw…
Draw a number 4 where each line segment is three times as long as the corresponding line segment in the original number 4.
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the stained glass window shown is a half - circle. what is the perimete…
The perimeter of the half - circle window is $2.57d$, where $d$ is the diameter of the half - circle. If the diameter value is known, substitute it into the formula to get the num…
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what is the scale factor from the original figure to the copy? original…
$0.5$
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in the figure below, b lies between a and c. find the location of b so …
$-9$
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the stained - glass window shown is a half - circle. what is the perime…
A. $2\times7\times\pi$, D. $14\times\pi$
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graph this compound inequality: 2.5 ≤ x ≤ 4.5 -5 -4 -3 -2 -1 0 1 2 3 4 …
On the number line, place a closed (filled - in) circle at $2.5$, place a closed (filled - in) circle at $4.5$, and draw a line segment connecting these two points.
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read the excerpt from grendel. then they would fight. spears flying, sw…
He feels disgusted by the wasteful nature of war.
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the scale factor from the original figure to its copy is $\frac{3}{2}$.…
Draw a figure on the grid where each side - length is $\frac{2}{3}$ of the corresponding side - length of the given copy figure. For example, if a side of the copy is 3 grid - squ…
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note : figure not drawn to scale. the figure shown is a right rectangul…
560
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note: figure not drawn to scale. the figure shown is a right rectangula…
992
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10. find the length between c(6, 3) and d(-5, 4). 11. a rectangle in th…
1. The length between $C$ and $D$ is $\sqrt{122}$. 2. The area of the rectangle is $39$. 3. The perimeter of $\triangle WIT$ is $6+\sqrt{53}+\sqrt{65}$. 4. The area of $\triangle …
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the scale factor from the original trapezoid to its copy is 2. draw the…
# Explanation: ## Step1: Identify original vertices Locate the vertices of the original trapezoid on the grid. ## Step2: Multiply coordinates by scale - factor If the scale factor…
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note : figure not drawn to scale. the figure shown is a right rectangul…
560
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the scale factor from the original trapezoid to its copy is 2. draw the…
Draw the new trapezoid on the grid using the above steps. Since no specific coordinates are given, the actual drawing should be done on the provided grid by following the steps of…
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1. 15 cm. perimeter (terms of pi) perimeter (number)
Perimeter (terms of Pi): $30\pi$ cm Perimeter (number): $94.2$ cm
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in the xy - plane, the graph of the given equation is a circle. what ar…
d. \((-26,0)\)
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in triangle qrs, what is the value of tan y? note: figure not drawn to …
a. $\frac{7}{9}$
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in triangle qrs, what is the value of tan y? note: figure not drawn to …
a. $\frac{9}{7}$
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9. a rectangle in the coordinate plane has vertices f(0, 5) and i(12, -…
$60$
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what are the corresponding parts of the figures below? select all that …
$\overline{SR}\cong\overline{WV}$, $\overline{QP}\cong\overline{VU}$, $\angle R\cong\angle W$
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14. perimeter (terms of pi) ____________ perimeter (number) ___________…
Perimeter (terms of Pi): $15\pi$ inches Perimeter (number): $47.1$ inches
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if the distance from the boat to the lighthouse is 115 meters and the a…
$\tan42^{\circ}=\frac{y}{115}$
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in the figure below, n lies between m and p. find the location of n so …
$-17$
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cdef ≅ vwxy. what is m∠c?
\(84^{\circ}\)
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triangle def contains right - angle e. if angle d measures 50° and its …
6.38 units
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△pqo ≅ △xyw. what is pq? meters
50 m
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question 9 nisha is looking out the window of her apartment building at…
128.67 feet
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question 10 (multiple choice worth 1 point) louise is trying to find a …
12 inches
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these figures are congruent. what is gh?
32 mm
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these figures are congruent. what is kl? meters
40 m