Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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find the length of side c. law of cosines ( c^{2}=a^{2}+b^{2}-2abcdotco…
The length of side \(c\) is approximately \(12.27\).
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solve for b. a = 8 b = ? law of sines \\frac{\\sin a}{a}=\\frac{\\sin b…
\(b \approx \boxed{9.67}\)
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solve for x.
\( x\approx13.7\) (or \( 13.72\) or \( 14\) depending on the level of precision. If we use a calculator with more precision, \( 16\times\cos(31^{\circ})\approx13.71\))
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find the value of x. x = ?
\(65\)
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a central angle of a circle divides the circle into a minor arc and a m…
The measure of minor arc \( ZU\) is \( 60^{\circ}\). The measure of major arc \( ZVU\) is \( 300^{\circ}\)
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match the formula for each volume to the figure to which it applies. fi…
Right Circular Cylinder - b. \(V=\pi r^{2}h\); Rectangular Solid - a. \(V = lwh\); Sphere - c. \(V=\frac{4}{3}\pi r^{3}\)
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homework d.8.2 score: 12/25 answered: 14/25 question 15 a small box mea…
\(54\)
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complete the table to show the name of each side of the right triangle …
| | \(a\) | \(b\) | \(c\) | |---|---|---|---| | \(\angle A\) | Opposite side | Adjacent side | Hypotenuse | | \(\angle B\) | Adjacent side | Opposite side | Hypotenuse |
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given: \\( \\overline{ab} \\cong \\overline{dc} \\), \\( \\overline{ab}…
$\triangle ABC \cong \triangle DCE$ is proven by SAS congruence.
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directions - use the midpoint formula to find the midpoint of the coord…
$(-1.5, 4.5)$
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directions - use the distance formula to find the distance between the …
10
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directions: use the distance formula to find the distance between the t…
8.06
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homework d.8.2 score: 11/25 answered: 13/25 progress saved question 14 …
\(1481760000\)
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isaiah sketches a model of a skateboard ramp. the model has two surface…
\(4\sqrt{2}\text{ in}\) (the third option)
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from the side view, a gymnastics mat forms a right triangle with other …
\(\frac{5\sqrt{3}}{3}\text{ ft}\) (the second option)
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the roof of a house is the shape of an isosceles right triangle as show…
\(5\sqrt{2}\text{ ft}\) (the second option)
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a man is standing near the washington monument. at a 60° angle of eleva…
- The distance from the man's feet to the base of the monument is \(185\sqrt{3}\) feet. - The distance from the man's feet to the top of the monument is \(370\sqrt{3}\) feet.
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a baseball field is in the shape of a square. the distance between each…
\(90\)
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triangle abc is an equilateral triangle. segment ad measures 18 inches.…
- \(DC = 6\sqrt{3}\text{ in}\) - \(AC = 12\sqrt{3}\text{ in}\)
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the hypotenuse of a 45° - 45° - 90° triangle measures 24 inches. what i…
\(12\sqrt{2}\text{ in}\) (the second option)
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what are the angle measures in triangle abc? $m\\angle a = 90^{\\circ},…
\(m\angle A = 90^{\circ},m\angle B = 60^{\circ},m\angle C = 30^{\circ}\) (the third option)
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3. from the window of one building, samantha looks across the courtyard…
\(119.1\)m
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16. in the figure, the circle circumscribed about the square abcd has a…
32
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from the given information, what must be true? ∠2 ≅ ∠4 ∠1 ≅ ∠3 ∠2 & ∠3 …
Not Enough Information
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determine the relationship between the triangles
Not similar
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state the postulate that proves these triangles are similar.
AA~
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state the postulate that proves these triangles are similar.
SSS~
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state the postulate that proves these triangles are similar.
SAS~
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determine the relationship between the triangles.
AA~
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determine whether the triangles are similar by aa~, sss~, sas~, or not …
SAS~
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select the correct answer from each drop - down menu. explain how the d…
- Point \( R \) coordinates: \( (1, 3) \) - Length of \( \overline{RS} \): \( 3 \) - Length of \( \overline{RT} \): \( 2 \) - Length of \( \overline{ST} \): \( \approx 3.61 \) (or…
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what is the ratio of triangles to hexagons?
1 (for the denominator of the fraction $\frac{1}{\square}$, the value is 1)
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24) find the measure of angle a
$\frac{155}{3}^\circ$ (or approximately $51.7^\circ$)
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find the measure of angle a 22) find the measure of angle a 24)
30 ### Problem 24
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find the measure of angle a. 21) (x + 59) + 84 + (x + 51) = 180 22) 23)…
52°
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find the measure of angle a. 21) 23)
44° --- ### Problem 23
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18) 8x + 2 70° 60° 20) x + 51 80° 60°
For problem 18: $6$ For problem 20: $-11$
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17) solve for x. 54° 55° x + 74
$-3$
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10) 12) 14)
For question 10: $20^\circ$ For question 12: $31^\circ$
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4) 156° ? 20° 35°
101°
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3 copy and complete this enlargement with scale factor 4 and centre of …
To draw the enlarged triangle: 1. Identify the center of enlargement (the cross) and the vertices of the original triangle. 2. For each vertex of the original triangle, find the v…
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a happy camper complete: every sentence begins with a a statement ends …
1. Camp is so cool. 2. Today we went swimming. 3. Do you know what the best part of camp is? 4. Did you feed my hamster?
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u is the midpoint of \\( \\overline{qs} \\). complete the proof that \\…
- Statement 5 Reason: Definition of Midpoint - Statement 6 Reason: Vertical Angles Theorem (already correct as per the box, but the logic is vertical angles are congruent) - State…
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complete the proof that $\\triangle ruv\\cong\\triangle tsv$.
For statement 5, the reason is "Vertical Angles are Congruent". For statement 6, the reason is "AAS Congruence Criterion".
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$$ \\overleftrightarrow { f h } $$ bisects $$ \\angle g h i $$ and $$ \…
- Statement 4 Reason: Definition of Angle Bisector - Statement 5 Reason: Reflexive Property of Congruence - Statement 6 Reason: AAS Congruence Theorem
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∠s ≅ ∠u, \\overline{uv} ⊥ \\overline{vw}, and \\overline{sw} ⊥ \\overli…
The reason for $\overline{VW} \cong \overline{VW}$ is the Reflexive Property of Congruence (or "A segment is congruent to itself"). However, if we consider the given options (even…
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△gik is equilateral. complete the proof that △ijk ≅ △ihg. 1 △gik is equ…
1. Reason: Given 2. Reason: Given (marked congruent angles) 3. Reason: Vertical Angles Theorem 4. Reason: Sides of an equilateral triangle are congruent 5. Reason: AAS (Angle - An…
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$\\overline{sw}\\cong\\overline{su}$. complete the proof that $\\triang…
1. Reason for \( \overline{SW} \cong \overline{SU} \): Given 2. Reason for \( \angle U \cong \angle W \): Marked angles are congruent (or Given from diagram) 3. Reason for \( \ang…
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$\\angle t\\cong\\angle r$ and $\\overline{qt}\\cong\\overline{ru}$. co…
1. Reason for \( \angle T \cong \angle R \): Given 2. Reason for \( \overline{QT} \cong \overline{RU} \): Given 3. Reason for \( \angle P \cong \angle P \): Reflexive Property of …
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scale factors (11/26) a triangle is reduced. not drawn to scale what is…
36
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complete the proof that \\( \\triangle v w x \\cong \\triangle u y x \\…
The reason for $\triangle VWX \cong \triangle UYX$ is the **ASA (Angle - Side - Angle) Congruence Postulate** (or AAS, since two angles and a non - included side also work here. B…
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which side of the original parallelogram corresponds to the y - centime…
The option: "15 cm because both are the longer sides of the parallelogram" (the last option in the list, described as "15 cm because both are the longer sides of the parallelogram…
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marnie solved the proportion $\\frac{150}{170}=\\frac{x}{510}$ to find …
\(x = 450\) (the option is \(x = 450\))
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quiz m: proportions and scale factors (11/26) julo considers the reduct…
(8)(21) = 12x (the second option: (8)(21) = 12x)
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pablo was asked to find the original dimension of an enlarged pentagon.…
A. Pablo set up an incorrect proportion.
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the small rectangle was enlarged to create the big rectangle. not drawn…
30 feet (corresponding to the option "30 feet")
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basil was shown this enlargement, and he was asked to find the perimete…
Basil made a mistake when finding the length of either side A or side B. (The option corresponding to this statement, e.g., if the options are labeled as: A. Basil made a mistake …
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luka was given an enlargement of a wooden block. which statements about…
The three true statements are: - The scale factor of this enlargement is 2. - The length of side A can be found by dividing 24 mm by the scale factor. - The length of side A is 12…
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mya used the 10 ft side and the 8 ft side as corresponding sides. how c…
The error Mya made is that she used non - corresponding sides. So the correct option is: Mya used the 10 ft side and the 8 ft side as corresponding sides. (Assuming the options ar…
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which scale drawing of a triangle was created by using a scale factor o…
The triangle with 4 cm (height) and 3 cm (base) (the first option in the given choices: 4 cm height, 3 cm base).
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consider the original trapezoid and the enlargement what is the length …
12
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consider the original parallelogram and its reduction. 18 mm 3 mm figur…
\(\boldsymbol{\frac{1}{6}}\) (corresponding to the option \(\frac{1}{6}\))
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write a sentence using the following word: polygons
Polygons are two - dimensional geometric shapes with straight sides.
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the rule ( r_{y=-x} circ t_{4,-1}(x,y) ) is applied to trapezoid ( a b …
# Explanation: ## Step1: Understand the transformation The transformation \(r_{y = -x}\circ T_{4,0}(x,y)\) means first a translation \(T_{4,0}(x,y)=(x + 4,y)\) and then a reflecti…
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the rule ( r_{y = x} circ t_{4,0}(x,y) ) is applied to trapezoid abcd t…
# Explanation: ## Step1: Understand the transformation The transformation \(r_{y = x}\circ T_{4,0}(x,y)\) means first translate the point \((x,y)\) by \(T_{4,0}\) (i.e., \((x,y)\t…
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parallelogram ( f^{prime prime} g^{prime prime} h^{prime prime} j^{prim…
\((-3,4)\)
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13. in \\( \\triangle qrs, \\overline{qs} \\) is extended through point…
51 ### Problem 13 (ΔQRS):
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what is gj? gj = submit
\(43\)
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if \\( \\overline { d g } \\cong \\overline { f g } \\), \\( m \\angle …
\(4\)
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if \\( \\angle w y x \\cong \\angle w y z \\), \\( w x = 3 s \\), and \…
\(15\)
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what is ( mangle rqs? )( mangle rqs=square^{circ} )
\(11\)
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if \\( \\angle rsu \\cong \\angle tsu \\), \\( ru = 10w + 19 \\), and \…
\(99\)
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what is m∠sut? m∠sut = °
\(84\)
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if (angle hikcongangle jik), (hk = p + 28), and (jk = 5p), what is the …
\(7\)
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what is m∠prs? m∠prs=□° submit
\(88\)
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if \\( \\overline { f i } \\cong \\overline { h i } \\) and \\( m \\ang…
\(78\)
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if ( mangle vwy=mangle xwy = 36^{circ}), ( vy = 2p), and ( xy=p + 13), …
\(26\)
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what is cf? cf = submit
\(35\)
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if ( be = de = 76 ), ( mangle bce = v + 48^{circ} ), and ( mangle dce =…
\(6\)
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the center of circle a is at (4,4), with a radius of 3. what should neg…
The correct option is: Negin should use the distance formula to calculate the length of segment \( AB \) (the last option with the radio button not selected in the image, but base…
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what is m∠hjk? m∠hjk=□° submit
\(41\)
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if ( tu = tw = 11 ), ( mangle tvu = 4x ), and ( mangle tvw = x + 45^{ci…
\(60\)
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if ∠ghj ≅ ∠ihj and gj = 26, what is ij? ij =
\(13\)
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what is m∠vwx? m∠vwx = □°
\(110\)
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if ( fg = fi = 62 ), ( mangle fhg = a + 24^{circ} ), and ( mangle fhi =…
\(8\)
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what is the value of p? submit
\(8\)
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if ∠sut ≅ ∠suv and st = 59, what is sv? sv =
\(59\)
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what is ( mangle fhg )? ( mangle fhg=square^{circ} ) learn about angle …
\(36\)
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solve the inequality and graph the solution. \\( \\frac { s } { 2 } + 6…
The solution of the inequality is \(s\geq - 2\). On the number - line, there is a closed circle at \(-2\) and an arrow pointing to the right.
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if △def ≅ △xyz, then ∠edf ≅ ∠? zyx dfe yxz xzy
XZY
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if (\triangle abccong\triangle pqr), then (overline{ac}congoverline{?})
PR
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use the law of syllogism to write four conditional statements that can …
Statement 1: If a quadrilateral is a square, then it is a rectangle. Statement 2: If a quadrilateral has four right angles, then its opposite sides are congruent. Statement 3: If …
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15) in the diagram below, △bri is the image of △joe after a translation…
B. \(\overline{JE}\cong\overline{RI}\)
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6 given: if two angles form a linear pair, then they are supplementary.…
6. Valid 7. Invalid 8. Valid 9. Invalid
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answer isosceles right isosceles acute scalene acute isosceles obtuse s…
Isosceles Right
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determine the type of triangle that is drawn below. answer equilateral …
Scalene Obtuse
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measure the size of the angle. angle size = ^{circ}
150
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use the image to answer the question. find the coordinates of point ( c…
\( (6, 0) \)
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lm is dilated by a scale factor of 4, with a center of dilation at l. i…
D. (2, 4)
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name the angle (using letters) below.
\( XEA \) (or \( AEX \))