幾何
三角形、円、座標幾何、証明問題。
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use the given information to find ( mangle a ). ( mangle d = 117^{circ}…
\(58\)
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3.05: swbat write and perform a series of rigid motions on the coordina…
a. The sequence of rigid motions is \(R_{O,90^{\circ}}\circ T_{(6,0)}\) (or \(T_{(6,0)}\circ R_{O,90^{\circ}}\), since translation and rotation are commutative in some cases when …
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fill in the missing steps of the proof of the exterior angle of a trian…
1. Dato 2. Ángulos adyacentes suplementarios 3. Teorema de la suma de ángulos de un triángulo 4. Sustitución
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part 1 of 4 fill in the missing steps of the proof of the exter given: …
Definición de un ángulo recto y postura de adición de ángulos.
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5. the tires of a bicycle have radius 12.0 in. and are turning at the r…
\(14.3\)
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question in the diagram below, find the value of x and y. answer attemp…
\(x = 17\), \(y=19.5\)
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question in the diagram below, find the value of x and y. answer attemp…
\(x = 17\), \(y=19.5\)
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given ( mparallel n ), find the value of x. answer ( x=) submit answer
\(74\)
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complete the similarity statement. a rectangle is sometimes/always/neve…
A rectangle is sometimes similar to another rectangle, because we can sometimes map one onto the other using only dilations and rigid transformations.
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error analysis on a math test the students are given a right triangle. …
\(38\)
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pete was able to map quadrilateral abcd onto efgh using a translation a…
Pete's error was that dilation is not a rigid transformation. Rigid transformations preserve size, but dilation changes the size. So the figures are similar (due to dilation and t…
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from the top of an apartment building, the angle of depression to a car…
\(62.5\) feet
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4. the pulley shown has a radius of 13.58 cm. suppose it takes 12 sec f…
(a) \(5.3\) cm per second (rounded to the nearest tenth) (b) \(0.39\) radians per second (rounded to the nearest hundredth)
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do you agree? use a diagram to support your answer. a triangle has two …
C. Yes. ∠1 and ∠2 are both remote interior angles for ∠3 and ∠4.
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layla concluded: \i was able to map circle m onto circle n using a sequ…
C. There is no error. This is a correct conclusion.
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helena concluded: \its not possible to map qrst onto xyzw using a seque…
A. One more transformation — a rotation — would map \(QRST\) onto \(XYZW\). So the quadrilaterals are congruent.
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complete the similarity statement. a circle is sometimes/always/never s…
A circle is always similar to another circle, because we can always map one onto the other using only similarity transformations (specifically dilations and translations). So the …
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tammy concluded: \i was able to map quadrilateral abcd onto fghe using …
C. There is no error. This is a correct conclusion.
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timo concluded: \its not possible to map ( lmnr ) onto ( pqno ) using a…
B. One more transformation — a dilation — would map \( LMNR \) onto \( PQNO \). So the quadrilaterals are similar.
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3. find x and y in the diagram below, where a transversal intersects tw…
\(x = 10\), \(y=5.125\)
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alon concluded: \its not possible to map \\( \\overline { j k } \\) ont…
A. One more transformation - a rotation - would map \(\overline{JK}\) onto \(\overline{NM}\) so the segments are congruent.
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find the area of the sector of a circle having radius r and central ang…
The area of the sector is approximately \(22.66\space\text{cm}^{2}\)
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as shown in the diagram below, a ladder 5 feet long leans against a wal…
\(2.1\) feet
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1. find the radius of the circle in the figure to the right. the radius…
\(\frac{27}{4}\)
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10. find the area and perimeter of the rectangle. $\\sqrt{8}+2\\sqrt{18…
The area is $32 + 40\sqrt{6}$ and the perimeter is $20\sqrt{2}+10\sqrt{3}$.
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1. find the radius of the circle in the figure to the right. 2. find th…
\(90.3\) \(cm^{2}\)
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in the diagram below, find the value of x. answer attempt 1 out of 2 ad…
\(x = 18\)
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answer attempt 1 out of 2 if a right triangle is inscribed in a circle,…
1. diameter 2. right
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state if the two triangles are congruent. if they are, state how you kn…
1. Congruent (HL) 2. Congruent (SAS) 3. Not congruent 4. Congruent (SAS) 5. Congruent (SSS) 6. Congruent (SSS) 7. Not congruent 8. Congruent (AAS) 9. Not congruent 10. Congruent (…
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question in the diagram below, find the measure of \\( \\overline { q r…
\(\frac{14\pi}{3}\approx14.7\)
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overleftrightarrow{qs} and overleftrightarrow{tv} are parallel lines. w…
$\angle TUW$ and $\angle SRU$
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gi and jl are parallel lines. which angles are alternate interior angle…
$\angle GHK$ and $\angle LKH$
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** this is a 2 - page document! ** state whether the triangles could be…
2. SAS, \(\triangle BED\cong\triangle AEC\) 3. SAS, \(\triangle VST\cong\triangle UST\) 4. SSS, \(\triangle MNQ\cong\triangle PNQ\) 5. SAS, \(\triangle GIL\cong\triangle HKL\) 6. …
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in the diagram, \\( \\frac { v z } { y z } = \\frac { w z } { x z } \\)…
C. \( \angle VZW\cong\angle YZX \)
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the local pizza restaurant offers free delivery if you live within a 6 …
No, the distance from the restaurant to Ada's house is \(\sqrt{41}\) miles, which is greater than the 6 - mile maximum radius.
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the proof that \\( \\triangle rst \\cong \\triangle vst \\) is shown gi…
perpendicular bisector theorem
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date: 14/10/25 bell: homework 5: proving triangles congruent sss & sas …
## 7. | Statements | Reasons | | --- | --- | | 1. \(\overline{AM}\cong\overline{CP}\) | 1. Given | | 2. \(\overline{CM}\cong\overline{GP}\) | 2. Given | | 3. \(C\) is the mid - po…
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a circle centered at (-1, 2) has a diameter of 10 units. amit wants to …
No, he did not calculate the distance correctly.
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what is the radius of a circle given by the equation $x^{2}+y^{2}-2x + …
\(8\)
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consider a circle whose equation is (x^{2}+y^{2}+4x - 6y-36 = 0). which…
- The second statement (To complete the square for the \(x\) terms, add \(4\) to both sides) is true. - The third statement (The center of the circle is at \((-2,3)\)) is true.
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a circle centered at the origin contains the point $(0,-9)$. does $(8,\…
Yes, the distance from the origin to the point \((8,\sqrt{17})\) is 9 units.
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to derive the standard formula of a circle, a radius r is constructed a…
\(x - h\), \(y - k\)
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what are the rigid transformations that will map \\( \\triangle abc \\)…
Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles
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on a drawing, a scale of one half 1/2\=1 is given. a line on the drawin…
\(6'\)
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10. point q is equidistant from the sides of ∠tsr. find m∠rst. (2x + 5)…
50°
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which rigid transformation would map △aec to △edc? a rotation about poi…
B. a reflection across the line containing \(\overline{CB}\)
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what is the equation of the circle shown in the graph? (x - 3)^2 + y^2 …
\(x^{2}+(y + 3)^{2}=4\) (the third option)
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given $(x,y)=(5,15)$. find $\\tan\\theta$. $\\bigcirc$ 5 $\\bigcirc$ $\…
3
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what is the location of point g, which partitions the directed line seg…
\(2\)
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given that $(x,y)=(5,10)$, find $r$. $5\\sqrt{2}$ $5\\sqrt{10}$ $5\\sqr…
\(5\sqrt{5}\) (tercera opción)
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which best explains whether or not all isosceles triangles are similar?…
C. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
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7. look at the figure. find tw. o 6 o 12 o 3 o 9
\(9\)
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6. look at the figure. find bc. 18 15 16 8
18
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3 look at the figure. find y.
\(3\)
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a grid divides the area on a plan into small areas called ______. local…
quadrants
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4 (overrightarrow{df}) bisects (angle edg). find (fg).
\(14\)
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3. the length of \\( \\overline { d e } \\) is shown. what other length…
\( DG = 12 \)
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2 look at the figure. find ed. 18 16 15 8
\(8\)
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1. \\( \\overleftrightarrow { c d } \\) is the perpendicular bisector o…
\( CT = 15 \) (So the answer is 15)
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match the following. 1. in a right triangle, the ratio of the side oppo…
1. sine 2. tangent 3. cosine 4. cosecant 5. cotangent 6. secant
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tony has a tree in his backyard. the tree grows 35 centimeters each yea…
(a) The solution of the inequality \(35x-22>258\) is \(x > 8\). On the number - line, we use an open circle at \(x = 8\) and draw an arrow to the right. (b) To meet the goal, the …
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heather is pumping water into an aquarium at a rate of 13 liters per mi…
(a) The solution of the inequality \(13x + 25\leq298\) is \(x\leq21\). On the number - line, we put a closed circle at 21 (since \(x = 21\) is included in the solution) and shade …
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10. which segment is parallel to (overline{df})?
\(\overline{AC}\)
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9. which segment is parallel to \\( \\overline { f e } \\)?
\(\overline{AB}\)
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kareem has a tree in his backyard. the tree grows 30 centimeters each y…
(a) The solution of the inequality \(30x - 18>252\) is \(x>9\). On the number - line, place an open circle at \(9\) and shade to the right. (b) To meet the goal, the tree must be …
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8. k is the midpoint of \\( \\overline { f g } \\) and l is the midpoin…
\(85^{\circ}\)
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7. what is the length of \\( \\overline{xz} \\)? 32 44 22 8
\(32\)
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6. what is the value of x? 30 15 12 6
\(x = 6\)
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5. what is m∠hkp? 105 50 40 80
\(50\)
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4. which line segment could be a midsegment of \\( \\triangle a b c \\)?
$\overline{DE}$
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2. what is the value of x? 12 36 32 28
28
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1. what is the value of x? 4 10 6 8
\(x = 10\)
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guided practice midsegments of triangles type your answer and then clic…
\(60^{\circ}\)
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given: ( cf = eg ) ( cd = ef ) prove: ( df = fg ) 7 ( df = fg )
\(DF = FG\) (by subtraction property of equality)
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8) 15° 61.8 16
\(x\approx63.8\)
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mcr 3u1 number 3 section total determine the values of the trigonometri…
a) \(-290^{\circ}\) b) \(45^{\circ}\) c) \(315^{\circ}\) d) Third quadrant e) Second quadrant f) \(76^{\circ}\)
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(c) 21x + 8 15x 19x - 13
\(x = 5\)
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find the measure of ∠tym.
\(78^{\circ}\)
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use the image below to find the requested values. find the measure of ∠…
The measure of \(\angle RFD\) is \(122^{\circ}\) and the value of \(t\) is \(132\).
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6) x 14 51° 18.0
\(x\approx22.8\)
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on a scale of 1 = 5 is given. a line on the drawing is 4\ long. what ac…
\(20'\)
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what is the relationship between angles 3 and 6? alternate interior ang…
Alternate Interior Angles
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triangles online practice complete this assessment to review what youve…
No; the height is too long by \(0.1\) in.
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5) 49° x 12.2
\(x\approx12.2\)
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question 15 6.25 pts what missing piece of information is needed to pro…
\(\angle G\cong\angle R\)
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the length of the edge of the cube, a, is 8 in. find the length of the …
\(13.9\) in.
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find the height, ( h ), of the cylinder. the radius, ( r ), is 5 cm and…
\(11.2\) cm
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apply the pythagorean theorem to find the length between (0,6) and (-3,…
B. \(8.54\)
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complete this assessment to review what youve learned. it will not coun…
\((15,36,39)\)
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4) 37° 12 9.0
$9.0$
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an outdoor movie screen is 30 ft. tall. it needs additional support to …
The brackets should be attached approximately \(13.75\) ft from the ground.
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given: ( cf = eg ) ( cd = ef ) prove: ( df = fg ) 4 ( eg = ef + fg ) se…
To correct the proof: - For statement 5, the reason should be "Given" (since \(CD = EF\) is given in the problem, not derived from addition and subtraction properties at this stag…
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triangles online practice complete this assessment to review what youve…
No, because 149 does not equal 144.
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triangles online practice complete this assessment to review what youve…
The triangle is a right triangle because \(20^{2}+21^{2}=29^{2}\)
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complete this assessment to review what youve learned. it will not coun…
Yes, because \(1,521\) equals \(1,521\).
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rosanna calculates that the length of c is 225 in. what needs to be cor…
Rosanna forgot to take the square root. The correct length of \(c\) is \(15\) in.
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side ( m ) is approximately 6.1 units, side ( n ) is approximately 11.4…
The length of the hypotenuse is \(13\) units. We know this because in a right - triangle (since \(28^{\circ}+62^{\circ}=90^{\circ}\)), the hypotenuse is the longest side, and amon…
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angle 5 is 115° and lines m and n are parallel. find the measure of ang…
\(65^{\circ}\)
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solve for the value of x. question 14 6.25 pts find qr.
For the first problem: \(10\) (from \(x=15 - 5\)). For the second problem: \(20\) (from \(QR = 3x+8\) with \(x = 4\)).
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find angle x. (1 point)
\(62^{\circ}\)