Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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identifying properties of angles intercepting the same arc use the diag…
### For the second statement (measure of angle BDE and angle BOE): # Explanation: ## Step1: Recall circle angle properties In a circle, the measure of an inscribed angle is half t…
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identifying properties of angles intercepting the same arc use the diag…
### For the second statement (measure of angle BDE and angle BOE): # Explanation: ## Step1: Recall circle angle properties In a circle, the measure of an inscribed angle is half t…
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which statements are true? check all that apply. \\( m\\overarc{cb} = 1…
- \(m\widehat{CB} = 120^{\circ}\) (True) - \(m\widehat{CB}=60^{\circ}\) (False) - \(m\angle COB = 2(m\angle CAB)\) (True) - \(m\angle COB = 120^{\circ}\) (True) - \(m\angle COB=\f…
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what is the length of the hypotenuse? if necessary, round to the neares…
50
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find the area. use your calculators version of \\(\\pi\\). round your a…
314.2 square miles
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sandra takes a sheet of paper and makes a diagonal cut from one corner …
10
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find the radius of a circle whose area is 211.2 square units. use your …
8.2 units
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from her home, sasha would have to walk 4 kilometers north to get to he…
12
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find the circumference of the circle. use your calculators value of π. …
67.9 units
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find the radius of a circle whose circumference is 32.7 units. use your…
5.2 units
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q.5 special right triangles find n. right triangle with a right angle, …
\(\sqrt{6}\)
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what is the perimeter of kite acbo? 31 units 56 units 62 units 64 units
62 units
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find the area of the figure below. all angles that look like right angl…
55
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find the shaded area of the figure below. round your answer to the near…
121.1 square units
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find the area of the figure. area = \\boxed{} square units
45.5 square units
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find the area of the figure. area = \\boxed{} square units
45.5 square units
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find the area of the figure below. (there is a coordinate grid with a f…
56.5 units squared
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find the circumference of the circle below. use your calculators versio…
12.6
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find the circumference of the circle below. use your calculators versio…
12.6
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find the area of the circle below. use your calculator’s version of pi.…
28.3
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find the area of the circle below. use your calculator’s version of pi.…
28.3
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central angle aob and inscribed angle acb intercept the same arc. conca…
First dropdown: always Second dropdown: sometimes
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find the length of the darkened arc. circle with radius 17 mi, central …
B. $\frac{187}{12}\pi$
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find the area of the sector. leave your answer in terms of pi. 18 cm 27…
243$\pi$
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find the area of the sector. leave your answer in terms of pi. (there i…
$\frac{245}{6}\pi$
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find t. triangle image with right angle, 3√2 in side, 60° angle, 30° an…
\(3\sqrt{6}\)
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explore polygons that can be created by radii and chords by following t…
quadrilateral
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find k. right triangle with angles 30°, 60°, right angle; side adjacent…
\(6\)
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explore polygons that can be created by radii and chords by following t…
quadrilateral
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explore polygons that can be created by radii and chords by following t…
triangle
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find z. 2 cm 45° 45° z write your answer in simplest radical form. □ ce…
\( 2\sqrt{2} \)
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find d. 9√2 yd 45° 45° d write your answer in simplest radical form. □ …
9
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7. find the area of the sector and round to the nearest hundredths. wy …
$35.30$ km²
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find c. right triangle with angles 30°, 60°, 90°; vertical leg is √6 mi…
\(\sqrt{2}\)
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find the tangent of ∠e. triangle with vertices d, e, c, right-angled at…
$\frac{15}{8}$
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the measure of arc lm is \\boxed{}°. the measure of angle mbl is \\boxe…
s: - The measure of arc \( LM \) is \( \boldsymbol{116^\circ} \). - The measure of angle \( MBL \) is \( \boldsymbol{58^\circ} \). - The measure of angle \( MNL \) is \( \boldsymb…
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solve the right triangle. triangle with right angle at h, hi = 6, gh = …
\( GI = 12 \) \( m\angle I = 60^\circ \) \( m\angle G = 30^\circ \)
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solve the right triangle. triangle with right angle at d, df = 10√21, d…
s: \( EF = 20\sqrt{21} \) \( m\angle F = 60^\circ \) \( m\angle E = 30^\circ \) (Wait, but earlier when calculating \( EF \), let's recheck Pythagorean theorem: \( (10\sqrt{21})^2…
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the hypotenuse of a 30°-60°-90° triangle measures $20\\sqrt{2}$ inches.…
\(10\sqrt{2}\)
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what are all the x and y-intercepts for the given graph? (graph with po…
x-intercepts: None y-intercepts: $(0, 6)$
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a 45°-45°-90° triangles leg has a length of $3\\sqrt{2}$ inches. what i…
6
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what are all the x and y-intercepts for the given graph? (graph with po…
x-intercepts: None y-intercepts: $(0, 6)$
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which statements are true regarding the relationships between central, …
A. A circumscribed angle is created by two intersecting tangent segments. C. The measure of a central angle will be twice the measure of an inscribed angle that intercepts the sam…
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explore the angles of a circle by following these steps. 1. move point …
\( 180^\circ \)
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angles central and inscribed angles try it the measure of arc ab is °. …
- The measure of arc \( AB \) is \( \boldsymbol{50}^\circ \). - The measure of angle \( AOB \) is \( \boldsymbol{50}^\circ \). - The measure of angle \( BDA \) is \( \boldsymbol{2…
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explore the angles and arcs of a circle by following these steps. 1. mo…
2
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\( m\angle6 = \boldsymbol{81^\circ} \), \( m\angle8 = \boldsymbol{81^\circ} \)
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exit ticket questions – (01-09-26) 1) you are given a right triangle wh…
1) Sine ratio; it relates opposite/hypotenuse. 2) Sketch: Right triangle (ladder=hypotenuse, ground=adjacent, building=opposite); Equation: $\cos(65^\circ) = \frac{x}{12}$ 3) Sine…
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given: abcd is a parallelogram, \\(\\overline{ac}\\) bisects \\(\\angle…
$\overline{AC} \perp \overline{BD}$ --- To complete the proof table, the missing steps (after Step7) would be: ## Step8: **Statement**: $ABCD$ is a rhombus **Reason**: A parallelo…
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find the sine, cosine, and tangent of ∠a. a right triangle abc with rig…
$\sin(A)=\frac{4}{5}$, $\cos(A)=\frac{3}{5}$, $\tan(A)=\frac{4}{3}$
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prove: \\(\\overline{ac} \\perp \\overline{bd}\\). step\tstatement\trea…
$\overline{AC} \perp \overline{BD}$ is proven. The missing statement to advance the proof (aligning with the dropdown context) leads to establishing $ABCD$ is a rhombus, whose dia…
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step statement reason 1 abcd is a parallelogram \\(\\overline{ac}\\) bi…
In a triangle, sides opposite of congruent angles are congruent
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find the tangent of ∠g. simplify your answer and write it as a proper f…
$\frac{28}{45}$
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step 1: statement - abcd is a parallelogram, $overline{ac}$ bisects $an…
$\overline{AD} \cong \overline{CD}$ (matching the $\overline{XY} \cong \overline{WZ}$ statement type)
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find the sine of $\\angle u$. simplify your answer and write it as a pr…
$\frac{35}{37}$
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find the cosine of ∠i. simplify your answer and write it as a proper fr…
$\frac{24}{37}$
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find the tangent of ∠p. simplify your answer and write it as a proper f…
$\frac{15}{8}$
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find the tangent of ∠e. simplify your answer and write it as a proper f…
$\frac{80}{39}$
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find the tangent of ∠r. simplify your answer and write it as a proper f…
$\frac{56}{33}$
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find the sine of $\\angle u$. simplify your answer and write it as a pr…
$\frac{35}{37}$
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find the cosine of ∠i. simplify your answer and write it as a proper fr…
$\frac{24}{37}$
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6. consider the following two equations. $y = -4x + 4$ $y = -4x - 2$ 6a…
The two parallel lines are plotted: 1. Line $y=-4x+4$ passes through $(0,4)$ and $(1,0)$ 2. Line $y=-4x-2$ passes through $(0,-2)$ and $(1,-6)$
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given: abcd is a parallelogram, \\(\\overline{ac}\\) bisects \\(\\angle…
$\overline{AC} \perp \overline{BD}$ is proven.
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ryan uses the following steps to describe the translation. step 1 ident…
Step 2
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ryan wants to describe the translation shown on the grid below. ryan us…
The translation is 2 units to the right and 1 unit down (or in vector form \((2,-1)\))
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on a coordinate plane, point b(-6, 1) is translated to b(-3, -2). indir…
The translation rule is \((x,y)\to(x + 4,y - 4)\) (or \((x,y)\to(x + 4,y+(-4))\))
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which rule can be used to describe the x - coordinates in the translati…
\( x + 0 \) (the first option, assuming the options are: \( x + 0 \), \( x + 6 \), \( x - 6 \), etc. So the correct rule for \( x \)-coordinates is \( x + 0 \).
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which triangle is a translation of triangle p? graph of coordinate plan…
triangle B
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point a(7, 3) is translated to a(18,-9). which rule describes the trans…
\((x,y)\to(x + 9,y - 12)\) (the last option: \((x,y)\to(x + 9,y - 12)\))
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the triangle on the grid will be translated two units left. which shows…
To solve the problem of translating the triangle two units left, we follow these steps: ### Step 1: Identify the coordinates of the original triangle's vertices First, we determin…
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if the triangle on the grid below is translated by using the rule ((x,y…
\((-4, 0)\)
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which rule describes the translation below? graph of two right triangle…
\((x,y)\to(x - 5,y - 3)\)
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2. what is the solution to the following system of equations? options: …
O (1, -3)
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john says the transformation rule (x, y) → (x + 4, y + 7) can be used t…
John used the transformation rule \((x,y)\to(x + 4,y + 7)\) (adding 4 to the x - coordinate and 7 to the y - coordinate) instead of the correct rule \((x,y)\to(x - 4,y - 7)\) (sub…
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if $qr = 8$, $rs = 12$, and $uv = 14$, find the length of $overline{tu}…
$9.3$
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in this figure, what is the value of x if y = 38°? triangle with angles…
$90^\circ$ *(Note: The provided options do not include the correct calculated value. The correct value of $x$ is 90 degrees.)*
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in triangle pqr, shown below, angle p measures 140°. angle q has the sa…
$20^\circ$
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if $qr = 8$, $rs = 12$, and $uv = 14$, find the length of $overline{tu}…
$9.3$
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what is the measure of angle r? (there is a triangle rqs with angle at …
A. 17 degree
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the measure of the vertex angle of an isosceles triangle is 50. find th…
$65^\circ$
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the measure of the vertex angle of an isosceles triangle is 70. find th…
$55^\circ$
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62 the lengths of the sides of a triangle are 8, 15, and 17. if the lon…
B. 24
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61 which set of numbers could represent the lengths of the sides of a t…
A. 9,16,20
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60 which set of numbers could represent the lengths of the sides of a t…
A. 6,8,9
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analyzing student work john says the transformation rule (x, y) → (x + …
John's error was that he used the transformation rule \((x,y)\to(x + 4,y + 7)\) (adding 4 to the \(x\) - coordinate and 7 to the \(y\) - coordinate) instead of the correct rule \(…
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segment pl has endpoints p(4, -6) and l(-2, 1). the segment is translat…
P'(9, -6), L'(3, 1) (the third option: P'(9, -6), L'(3, 1))
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which set of numbers can not represent the lengths of the sides of a tr…
C. 7,18,11
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if the triangle and the rectangle have the same area, what is the value…
B. 3
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what is the area of δabc if ad = 20, ab = 25, and cd = 9?
240
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the area of the rectangle is 270 km². what is the area of the shaded tr…
B. $135\ \text{km}^2$
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writing a translation rule a triangle has coordinates f(-2, 3), g(-4, 1…
The correct option is the second one: \( \boldsymbol{(x, y) \to (x + 2, y - 3)} \) (corresponding to the option labeled as the second choice, e.g., if options are A to D, assuming…
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a figure is translated using the mapping $(x, y) \\to (x + a, y + b)$. …
The figure moves left and down.
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a figure is translated using the rule (x, y) → (x − 3, y + 6). which de…
left 3 units and up 6 units (the last option: left 3 units and up 6 units)
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a triangle has sides with lengths of 59 yards, 75 yards, and 50 yards. …
no
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a triangle has sides with lengths of 16 inches, 63 inches, and 65 inche…
yes
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a triangle has sides with lengths of 83 meters, 96 meters, and 58 meter…
no
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graph the solution set. $x + y < 6$
The solution set is graphed by first drawing the dashed line \(y=-x + 6\) (through points \((0,6)\) and \((6,0)\)) and then shading the region below this dashed line.
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part 2 of 2 estimation without doing calculations, use side de and side…
$\frac{7}{2}$
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the point p(6, -1) is translated according to the rule (x, y) → (x - 5,…
\(P'(1, - 3)\) (which corresponds to the option \(P'(1,-3)\))
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estimation without doing calculations, use side de and side de to estim…
$\frac{5}{2}$