Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the perimeter of the rectangle. express the perimeter using the sa…
20
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which of these quadrilaterals have sides of equal length that meet at a…
A. I (square) and V (rhombus)
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7.5b 30. the clock has a diameter of 7.5 inches and a circumference of …
C. \(\frac{24}{7.5}\) ### 32.
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1) dadas las dos líneas paralelas cortadas por una transversal. ¿cuál e…
# Explicación breve: Dos ángulos son verticales si comparten el vértice y sus lados son rayos opuestos. En la figura, el ángulo 6 comparte el vértice con el ángulo 4 y sus lados s…
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explain why the triangles are similar. then find the missing length, x.…
A. The angles in the small triangle are equal in measure to their corresponding angles in the large triangle. \(x = 4\) in.
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1) dadas las dos líneas paralelas cortadas por una transversal. ¿cuál e…
Ángulo 2
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hannah approximates the area of circles using the equation ( a = 3r^{2}…
a. Graph B is correct. b. The relation is a function because each input (radius) corresponds to exactly one output (area).
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predicate nominatives predicate nominatives are nouns or pronouns that …
1. Underlined subject: My mom's turkey; Circled predicate nominative: the crowd favorite 2. Underlined subject: My dog Tiki; Circled predicate nominative: a standard poodle 3. Und…
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consider the following nonlinear system of equations. $$ \\left\\{\\beg…
Type: ellipse; center: \((2,-1)\); length of major axis: \(10\); length of minor axis: \(2\); major axis is: horizontal
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given two sides of a triangle, find a range of possible lengths for the…
1. \(6\lt x\lt18\) 2. \(5\lt x\lt21\) 3. \(5\lt x\lt29\) 4. \(4\lt x\lt20\)
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consider the following nonlinear system of equations. $$ left{ \begin{a…
ellipse with center \((2,-1)\), semi - major axis \(a = 5\), semi - minor axis \(b = 1\)
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is it possible to construct a triangle with the given side lengths? if …
7. No, because \(6 + 10=16\) (violates the triangle - inequality theorem). 8. No, because \(11 + 16 = 27<32\) (violates the triangle - inequality theorem). 9. No, because \(3 + 5=…
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consider the following nonlinear system of equations. $$ \\left\\{\\beg…
center: \((2,-1)\) ; radius: \(6\)
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consider the following nonlinear system of equations. $$ \\left\\{\\beg…
circle
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si el m∠1 = 57°, hallar la medida de ∠6. no se puede determinar 123° 57…
123°
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18 airplanes two airplanes leave the same airport heading in different …
The two airplanes are between \(70\) miles and \(1350\) miles apart. So the range of distances \(d\) is \(70\lt d\lt1350\)
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16 baseball a pitcher throws a baseball 60 feet from the pitchers mound…
The ball lands more than \(36\) feet and less than \(84\) feet from the pitcher's mound.
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6. which line appears to have an x - intercept of - 5 and a y - interce…
C.
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10. how many vertices are on the solid below?
8
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13) complete the proof below given: \\( \\overleftrightarrow { r c } \\…
\(\triangle RHX\cong\triangle NKX\) by the ASA (Angle - Side - Angle) congruence criterion.
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after his diagnosis, carlos knew he must fly back to spain to find a ma…
- For the conflict question: c. The Spanish government seizes the plane - For synonyms/antonyms: 1. Synonyms 2. Synonyms 3. Antonyms 4. Synonyms 5. Synonyms - For "mogul" meaning:…
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si el m∠7 = 115°, hallar la medida de ∠2.
$115^{\circ}$
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13) complete the proof below given: \\( \\overleftrightarrow { r c } \\…
\(\triangle RHX\cong\triangle NKX\) by \(ASA\) (Angle - Side - Angle) congruence criterion.
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the base of each triangle is 4 cm and the height is 5 cm. what is the s…
40 sq cm
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alana drew a net for a square pyramid. which figure could be the one al…
A.
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what is the surface area of the square pyramid? 6 sq ft 16 sq ft 24 sq …
16 sq ft
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what is the surface area of the right rectangular prism below? 13 in 4 …
C. \(308\) in.\(^{2}\)
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find the measures of angles 1 through 5 in the figure shown. m∠1 = □° m…
# Explanation: ## Step 1: Encontrar \( m\angle1 \) En el triángulo derecho, la suma de los ángulos internos es \( 180^{\circ} \). Como uno de los ángulos es \( 90^{\circ} \) y otr…
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sheila has a box shaped like a right rectangular prism. she wants to co…
A. \(300\ \text{in.}^2\)
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np and qs are parallel lines. which angles are alternate exterior angle…
$\angle SRT$ and $\angle NOM$
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set the area of a rectangle is given in the form of a trinomial express…
7. \((x + 1)(x + 8)\) 8. \((x - 2)(x - 4)\) 9. \((x + 2)(x - 4)\) 10. \((x + 8)(x - 1)\)
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eg and hj are parallel lines. which angles are alternate exterior angle…
\(\angle GFD\) and \(\angle NIK\)
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jl and mo are parallel lines. which angles are alternate interior angle…
$\angle ONK$ and $\angle JKN$
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give the location of berlin as an ordered pair $(x,y)$. $(x,y)=(\\squar…
\((x,y)=(6,8)\)
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circle the vague pronoun, then correct it below. rosa and shelly went t…
Circle "her". Correction: Rosa and Shelly went to Rosa's (or Shelly's) house to study.
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une clôture délimite un terrain qui a la forme dun rectangle. chaque di…
Les dimensions du terrain sont \( 48\ m \) et \( 14\ m \).
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give the location of bern as an ordered pair (x, y).
\((x,y)=(1,-2)\)
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jessica is planning to build a triangular garden with a border made out…
The total length of the border is \(38.3\) feet. This is less than the length of wood Jessica has. She has enough wood to make the border.
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determine a series of transformations that would map polygon abcde onto…
A \(180^{\circ}\) rotation about the origin followed by a translation \(2\) units right and \(2\) units down.
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daily grammar practice 7 - 2 name 1 circle the correct possessive prono…
1. Circle "your". 2. Circle "themselves". 3. Circle "it", and correct sentence: Many people like to hike. They feel hiking is a fun way to get exercise.
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2) a scale factor was applied to the left triangle to produce the right…
The scale factor is \(3.5\)
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question 9 use a graphing calculator to evaluate. round to 3 decimal pl…
Question 9: \(-0.588\) Question 10: \(0.643\)
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find the measure of angle a for the triangle shown.
\(40^{\circ}\)
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which of the following shows radial symmetry? select one answer.
The orange star.
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in the rectangular prism shown below, which planes are parallel? qru an…
PST and TUV
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in the cube shown below, which planes intersect? ruv and stw rsv and tu…
RUV and RST
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3. given: ∠1 ≅ ∠5, ∠3 ≅ ∠4 prove: l || v
1. $\angle1\cong\angle5$, $\angle3\cong\angle4$ - Given 2. $r\parallel s$ - Converse of corresponding angles postulate ($\angle1\cong\angle5$) 3. $\angle2\cong\angle3$ - Alternate…
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20. if a point has coordinates (-5,3) and is reflected in the y - axis,…
\((5,3)\)
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in the diagram, \\( \\triangle abc \\cong \\triangle def \\). 6. find t…
6. \(x = 30.3\) 7. \(y = 30\)
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19. when a point is reflected on the y - axis, what changes? neither x …
C. The x - coordinate
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18. what is the general definition of a reflection in geometry? a trans…
A transformation creating a mirror image over a line.
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16. when a figure is reflected over the y - axis, what happens to its x…
They change sign
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15. a point a(5,6) is reflected over the x - axis. what is the new coor…
\((5,-6)\) (the third option)
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14. what is reflections in geometry? flipping a figure over a line shif…
Flipping a figure over a line
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if a right triangle has one side that measures 12 cm and one side that …
A. 13 cm
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12. a line of reflection is also know as a parallel line a line of symm…
a line of symmetry
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11. if a fold of paper is the line of symmetry, the reflection (mirror …
True
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5 - mathematical knowledge what is the volume of a cube with edge lengt…
D. \(343\ cm^{3}\)
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10. for $r_{y = -x}$ $p(x,y)-->p(x,y)$ $p(x,y)-->p(-y,-x)$ $p(x,y)-->p(…
\(P(x,y)\to P'(-y,-x)\) (the second option)
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9. for ( r_{y = x} ) ( p(x, y)---->p(x, y) ) ( p(x, y)---->p(-y, -x) ) …
C. \(P(x,y)\to P'(y,x)\)
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7. reflecting a point on the line of symmetry, implies p(x, y)--->p(-x,…
A. \(P(x,y)\to P'(-x,y)\)
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6. when reflecting across the x - axis,... p(x, y)--->p(-x, y) p(x, y)-…
B. \( P(x,y) ightarrow P'(x, -y) \)
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question 5 state the reference angle for the given angle. 310° question…
For \(310^{\circ}\), the reference angle is \(50^{\circ}\). For \(200^{\circ}\), the reference angle is \(20^{\circ}\).
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2. given: ( overline{ac} ) bisects ( angle dab ); ( overline{ac} ) bise…
\(BC = DC\) is proved as \(\triangle ADC\cong\triangle ABC\) by ASA congruence criterion and then using the property of congruent triangles.
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in exercises 1 - 6, decide whether it is possible to prove that the tri…
It is possible to prove the triangles congruent. We use the AAS (Angle - Angle - Side) congruence theorem.
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question 3 state the reference angle for the given angle. -115° questio…
For \(-115^{\circ}\), the reference angle is \(65^{\circ}\). For \(-250^{\circ}\), the reference angle is \(70^{\circ}\).
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2. determine which method if any can prove the triangles are congruent.…
AAS
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1. determine which method if any can prove the triangles are congruent.…
SAS
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which additional information is need to prove the triangles are congrue…
A. \(\angle C\cong\angle F\) or \(\angle B\cong\angle E\)
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6. given: \\( \\overline{mo} \\) is the perpendicular bisector of \\( \…
\(\overline{MN}\cong\overline{MP}\) is proved as above.
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which additional information is need to prove the triangles are congrue…
B. \(\angle A\cong\angle D\)
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given this proof, what is the missing step? given: \\( \\overline { a d…
A. \( \overline{BD}\cong\overline{BD}\), Reflexive Property
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find m∠mnl. answer attempt 2 out of 2 m∠mnl = ° submit answer
\(26\)
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draw the terminal side of this angle. make sure to draw you ray to the …
Draw a ray starting from the origin, making an angle of \(30^{\circ}\) with the negative \(x -\)axis in the second quadrant (extending to the end of the graph).
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5*yes, hlyes, sasyes, asano
yes, HL
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4 * yes, sss yes, sas yes, aas no
yes, SAS
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in exercises 1 - 6, decide whether it is possible to prove that the tri…
It is possible to prove the triangles are congruent. We use the ASA (Angle - Side - Angle) postulate.
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3 * yes, sss yes, sas yes, asa no
yes, SSS
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4. name all similar relationships.
\(R_1\sim R_2\), \(R_3\sim R_4\)
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2 * yes, sss yes, asa yes, sas no
yes, SAS
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1. * yes, hl yes, aas yes, asa no
yes, AAS
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4. name all similar relationships. 10 r₁ 4 r₂ 2 5 r₃ 1.25 3.125 r₄ 3 7.5
\(R_1\sim R_2\sim R_3\sim R_4\)
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what is the ratio of circles to triangles? simplify your answer 3:2 2:3…
\(2:3\)
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5. $r_{y=-x}$ means a reflection across the x - axis a reflection acros…
C. A reflection across \(y=-x\)
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4. select all that apply: lines of reflection $y = x$ $y = -x$ $y = k$,…
All options ( \(y = x\), \(y=-x\), \(y = k\) (where \(k\) is a constant), \(x = k\) (where \(k\) is a constant)) are lines of reflection for some geometric figures. So the answer …
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3. a line of symmetry is the y - axis then the line is is vertical and …
is vertical and passes through the origin
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2. a line of reflection (line of symmetry) is the x - axis then the lin…
B. is horizontal and passes through the origin
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1. a reflection in geometry is a change in size change in shape a mirro…
C. a mirror image
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in the diagram, \\( \\triangle abc \\cong \\triangle fde \\). 4. find t…
4. \(x = 66\) 5. \(y = 24\)
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the angle of elevation to the top of a flagpole measured by a digital p…
The height of the flagpole is approximately \(105.00\) ft.
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dilating a segment in the coordinate plane the rule ( d_{o,0.25}(x,y)\t…
The slope of the original segment and dilated segment are both zero.
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dilating a segment in the coordinate plane the rule ( d_{o,0.25}(x,y)\t…
The length of \(L'M'\) is \(2\)
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in exercises 1 - 6, decide whether it is possible to prove that the tri…
It is possible to prove that \(\triangle SPQ\cong\triangle SRQ\). We use the SSS (Side - Side - Side) congruence theorem.
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dilating a segment in the coordinate plane the rule ( d_{0,0.25}(x,y)\t…
The length of \(L'M'\) is \(5\). The slope of the original segment and dilated segment is \(0\)
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click an item in the list or group of pictures at the bottom of the pro…
\(4^{2}+7^{2}=x^{2}\)
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7.9b 11. what is the area of the circle? 10 cm
The area of the circle is \( 100\pi\space cm^{2}\) (or approximately \( 314\space cm^{2}\) when \( \pi\approx3.14 \)).
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consider \\( \\triangle a b c \\) and \\( \\triangle d e f \\) shown be…
\(m\angle C = 118^{\circ}\), \(m\angle F = 118^{\circ}\)
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using the graph, determine the coordinates of the y - intercept of the …
\((0,-6)\)
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making connections circle the letter next to each correct answer. there…
1. B. intensify, C. inflate 2. B. detestable, D. obnoxious 3. B. blatant 4. A. candid 5. D. enroll 6. B. bias 7. A. intimidate, D. threaten 8. B. aspire 9. A. impunity, C. pardon …
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extension activity: creative writing with two, to, too directions: writ…
Here is a short story: Two friends, Lily and Mia, decided to go to the park. They wanted to have a picnic. Lily brought two sandwiches, and Mia brought two drinks. They also broug…