Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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voila, youve got a grid! now repeat the same procedure on your paper or…
Ratio and proportion (fraction-based scaling math, using equivalent fractions to calculate the scale factor for enlarging the grid and drawing)
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diego is painting the walls of his house. he paints 8 square meters eve…
Horizontal distance (bottom box): 3 Vertical distance (top box): 24 Slope of the line: 8
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for items 8–10, use $\\triangle def$ shown. 8. what is $m\\angle def$? …
\( 50^\circ \) ### Item 9
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a blimp, suspended in the air at a height of 400 feet, lies directly ov…
1302.91
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note: triangle may not be drawn to scale. suppose a = 9 and b = 4. roun…
$\sin(A) = 0.9$ $\cos(A) = 0.4$ $\tan(A) = 2.3$ $\sec(A) = 2.5$ $\csc(A) = 1.1$ $\cot(A) = 0.4$
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a blimp, suspended in the air at a height of 400 feet, lies directly ov…
1302.91
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a blimp, suspended in the air at a height of 600 feet, lies directly ov…
2052.52 feet
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the dimensions of a plastic container are 8 in x 6 in x 4 in. what is t…
192
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using the following diagram, solve for x. x = \\square (simplify your a…
22.5
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kuta software - infinite pre - algebra graphing lines in slope - interc…
The graph is a straight line passing through points $(0, -1)$ and $(4, 0)$, extending infinitely in both directions along the grid.
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using the given diagram, solve for x. x = \\square
28
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the dimensions of a plastic container are 8 in x 6 in x 4 in. what is t…
192
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a refrigerator in the shape of a rectangular prism has a depth of 28 in…
\( 66528 \)
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tori has a wardrobe that is 85 inches tall, 35 inches wide, and 25 inch…
8135
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find the value of x. note: the figure is not to scale. the value of x i…
\(9\)
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solve for x and y. x = 6√2 (simplify your answer. type an exact answer,…
\(y = 3\sqrt{17}\) (Wait, but let's check again. Wait, maybe
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find the geometric mean of 5 and 20. the geometric mean is \\boxed{}. (…
10
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3. a cliff is 85 meters above the sea. from the top of the cliff, the a…
The boat is approximately \(\boldsymbol{91.15}\) meters from the base of the cliff.
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use the figure to complete the proportion. \\(\frac{z}{y}=\frac{y}{?}\\…
\(s\)
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to indirectly measure the distance across a river, fatoumata stands on …
132 feet
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for items 6–7, use △def shown. m is the centroid. 6. what is el? a 9 c …
A. 9 ### Problem 7:
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find the geometric mean of 4 and 9. the geometric mean is \\boxed{}. (t…
6
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for the pair of similar triangles, find the appropriate value(s) of x. …
18
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a pole 9 feet tall is used to support a guy wire for a tower, which run…
100 feet
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voila, youve got a grid! now repeat the same procedure on your paper or…
Ratio/scale multiplication (proportional math, using a scale factor to resize dimensions proportionally)
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a scale drawing of a building needs to be made using the scale 1 in = 2…
9
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13) 15) 17) 16) 18)
### Problem 13: Isosceles Right Triangle (45-45-90) # Explanation: ## Step 1: Identify Triangle Type This is a right triangle with one angle \( 45^\circ \), so it's an isosceles r…
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name the quadrant or axis where each point lies. point a the x - coordi…
- Point A Location: Negative \(x\)-axis (or \(x\)-axis, since \(y = 0\) and \(x<0\)) - Point B Location: Quadrant IV
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the figures shown are similar. find the lengths of x, y, and z. the len…
5.25
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name the quadrant or axis where each point lies. (-8, 0): (choose one) …
\(x\)-axis ### For point \((-5, 3)\):
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the figures shown are similar. find the lengths of x, y, and z. the len…
6
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the figures shown are similar. find the lengths of x, y, and z. the len…
5.25
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the polygons to the right are similar. find the value of each variable.…
$x = 24$, $y = 7$
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this reference photo is 5\ x 7\. as luck would have it, you want to mak…
reference photo
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find the value of sine and cosine for the following drawing of a unit c…
\(\sin(\theta)= - 0.66\) \(\cos(\theta)=0.75\)
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using your knowledge about the unit circle, calculate the cosecant, sec…
\( \csc(t) \): undefined \( \sec(t) = -1 \) \( \cot(t) \): undefined
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use the information provided to write the vertex form equation of each …
The vertex form equation of the parabola is \(x^{2}=-4y\)
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list the pairs of congruent angles and the extended proportion that rel…
∠E ≅ ∠T ∠F ≅ ∠U ∠G ≅ ∠V
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1. to construct the circumscribed circle of a triangle, you must constr…
- For the first blank (construction lines): perpendicular bisectors (selected in the image, which is correct as circumcenter is where perpendicular bisectors meet). - For the seco…
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what is an equation of the line that passes through the points (8, 0) a…
$\boldsymbol{y = x - 8}$ (or equivalent forms like $x - y = 8$)
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12 × 2² - 18.4 + 0.6 5² - 0.2 × 8 + 12 × ½ 19 + 1⁵ + ½ + 5 10. nikki’s …
The area of Nikki's backyard is 351 square feet. --- ### Problem 11
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what is the area of this figure? provide an answer accurate to the near…
69.0 yd²
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14) right triangle with leg 12, 30° angle, sides y and x 16) right tria…
14) $x=14$ 16) $a=22$, $b=11$ 18) $m=7\sqrt{2}$, $n=7$ (Unlabeled top-left triangle) $u=8$, $v=8$ (Unlabeled middle triangle) $a=3\sqrt{3}$, $b=6$ (Unlabeled bottom-right triangle…
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3 alex graphed two lines in order to find the solution to a given syste…
3. b) (-8,-3) / d) (-8,-3) 4. b) (1, -4)
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what is an equation of the line that passes through the points (-4, 5) …
$x=-4$
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1. the solution (x, y) to a system of equations is the point where they…
1. b) Intersect 2. d) (6, -2)
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show your work under each question. dennis plans to remodel his backyar…
1. $\overline{CD}$ (drawn as a straight line with endpoints $C$ and $D$) 2. Ray $\overrightarrow{MN}$ 3. A right angle with vertex $J$, labeled $\angle LJK$ (two rays $\overrighta…
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the graph depicts the growth in costs using a line segment. use the mid…
7508
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current skill $ f (x + 69)° g j 70° h what is the value of x? what is t…
1. The value of $x$ is $\boldsymbol{41}$ 2. The measure of $\angle FJG$ is $\boldsymbol{110^\circ}$
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enter the correct answer that completes the sentence below. the distanc…
40
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in the figure below, the interior ray bisects the larger angle. what is…
$1$
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in the figure below, the interior ray bisects the larger angle. what is…
\(1\)
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read the sentences. use the line following each sentence to identify th…
### 53. E ### 54. INT ### 55. D ### 56. IMP ### 57. Circle: *because* Underline: *they played their hearts out* ### 58. Circle: *who* Underline: *who won beauty pageants as a youn…
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a side of the triangle below has been extended to form an exterior angl…
\(44\)
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the diameter of a circle is 8 yards. what is the circles area? round yo…
50.27 square yards
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the radius of a circle is 19 millimeters. what is the circles area? r=1…
1134.11 square millimeters
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the radius of a circle is 1 yard. what is the circles area? round your …
3.14 square yards
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what is the value of x? x = (there is a diagram showing two parallel ve…
$106$
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the diameter of a circle is 26 millimeters. what is the circles area? r…
530.93 square millimeters
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a. a wheelchair ramp with a length of 100 inches has a horizontal dista…
a. The vertical distance of the ramp is 28 inches b. No, this ramp does not satisfy the requirements. The required horizontal run for a 28-inch rise is 336 inches, but the ramp on…
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the diameter of a circle is 24 feet. what is the circles area? d=24 ft …
452.39 square feet
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find the area. use 3.14 or a calculator button for pi and provide an an…
28.3 mm²
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use the pythagorean theorem and the square root property to solve the f…
In simplified radical form, the pedestrian route is \(6\sqrt{5}\) miles long. The decimal approximation to the nearest tenth is 13.4 miles.
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what is the value of ( x )? ( x = ) ?
\(70\)
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a side of the triangle below has been extended to form an exterior angl…
\(25\)
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point i is on line segment \\(\\overline{hj}\\). given \\(ij = 2\\) and…
\( 10 \)
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the radius of a circle is 2 yards. what is the circles area? round your…
12.57 square yards
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question point v is on line segment \\(\\overline{uw}\\). given \\(uv =…
\( 9 \)
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use the figure below to answer the following questions. what is the val…
1. The value of $x$ is 11 2. The measure of $\angle RWT$ is $114^\circ$
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the diameter of a circle is 36 kilometers. what is the circles area? d=…
1017.88 square kilometers
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use the figure below to answer the following questions. what is the val…
$11$
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the radius of a circle is 4 kilometers. what is the circles area? r=4 k…
50.27 square kilometers
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a side of the triangle below has been extended to form an exterior angl…
\(20\)
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what is the measure of ∠qsr?
$35^\circ$
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draw the image of $\\triangle abc$ under a dilation whose center is $p$…
# Explanation: ## Step1: Recall Dilation Rules Dilation with center \( P \) and scale factor \( k = 2 \) means for each vertex \( X \) of \( \triangle ABC \), we find the point \(…
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question a side of the triangle below has been extended to form an exte…
# Explanation: ## Step1: Recall the exterior angle theorem The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Also, a straight angle i…
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the diameter of a circle is 4 kilometers. what is the circles area? rou…
12.57 square kilometers
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a side of the triangle below has been extended to form an exterior angl…
\(x = 63\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 59\)
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select the correct choice that completes the sentence below. any point …
0
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$\\overline{rt}$ is a perpendicular bisector. $\\overline{rt}$ is an an…
None of the above.
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what is the area? 9 in 12.4 in 20 in square inches
182.2 square inches
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which of the following statements must be true based on the diagram bel…
To determine if \(\overline{RT}\) is a perpendicular bisector, we analyze the diagram: 1. A perpendicular bisector of a segment must: - Bisect the segment (divide it into two equa…
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what is the missing length? u 16.3 m 13.2 m area = 158.925 m²
9.3 m
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decide whether the following statement is true or false. if the stateme…
C. True.
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what is the missing length? 6.4 mi 10 mi z area = 107 mi²
14.6 mi
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a side of the triangle below has been extended to form an exterior angl…
\(34^\circ\)
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current skill $ h g (x + 89)° 101° k f j what is the value of x? 12 wha…
The value of $x$ is 12. The measure of $\angle FKH$ is $79^\circ$.
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what is the missing length? 6.4 mi 10 mi z area = 107 mi²
The missing length \( z \) is \( 8.6 \) miles.
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use the figure below to answer the following questions. what is the val…
$12$
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a circles radius is 25 centimeters. what is the circles area? use 3.14 …
1962.5 square centimeters
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what is the missing length? 6.4 mi 10 mi area = 107 mi² z = \\boxed{} m…
\( 8.6 \)
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current skill $\\$ what is the value of x? $82^circ$ x label optional
$98^\circ$
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what is the area of the shaded region? 11.4 yd 9 yd square yards
\( 51.3 \)
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what is the missing length? 4.5 mi area of shaded region = 9 mi² t = \\…
\( t = 4 \) miles
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a side of the triangle below has been extended to form an exterior angl…
\(x = 54\)
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what is the area? 8 cm 17.5 cm 16.5 cm square centimeters
\( 214.375 \)
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what is the missing length? 18.2 m c area = 126.49 m²
The missing length \( c \) is \( 13.9\space m \).
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a side of the triangle below has been extended to form an exterior angl…
\(x = 52^\circ\)
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what is the measure of $\\angle ijg$, in degrees?
$115^\circ$