幾何
三角形、圓、解析幾何與證明題。
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circle the letter next to the word or phrase that best completes the se…
1. a. poor study habits 2. a. found your lost dog 3. b. breaking the law 4. a. doesn't let you down Sentences: 1. The government can impose a new tax on luxury goods. 2. Many citi…
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5. find the value of x for which (ell parallel m). 144 54 134 59
\(x = 59\)
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what is the relationship between a scalene triangle and the location of…
A. The centroid will always be inside the scalene triangle, since the centroid is always inside any type of triangle.
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4. given: ∠1 ≅ ∠2 prove: a ∥ b what is the missing statement in the pro…
\(\angle1\cong\angle4\) (the fourth option)
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for items 3 - 4, use the coordinates ( j(7,8) ), ( k(1,2) ) and ( l(5,2…
D. \(6.3\)
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for items 3 - 4, use the coordinates ( j(7,8) ), ( k(1,2) ) and ( l(5,2…
C. 4.8
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in $\\triangle abc$, the segment $cj = 18$. if $cg = bg$, what is $kj$?
B. 6
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4. what type of triangle has exactly 2 congruent sides and one right an…
right isosceles triangle
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find the measure of each base angle in the figure below. 62° 28° 56° 12…
\(28^{\circ}\)
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select all the statements that are true for \\( \\triangle a b c \\). a…
A. \(\overline{AH}\) is an altitude; D. The medians and altitudes intersect at the same point.
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2. name the triangle with the following characteristics. sides: 4 cm, 4…
right isosceles triangle
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take quiz exit type your answer as an equation, with no spaces!! ex: x=5
\(x = 2\)
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2. what is the missing statement in the proof? given: ∠1 ≅ ∠2 prove: l …
\(\angle3\cong\angle2\) (the third option)
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1. lines f and g are parallel. which statement can you not deduce from …
\(m\angle3 + m\angle8 = 180\)
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find the center and radius of the circle represented by the equation be…
Center: \((5,9)\) Radius: \(7\)
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guided practice given: (angle 1 cong angle 2) prove: (ell | m) what is …
A. \( \angle1\cong\angle3\)
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14. if you are given that nk is congruent to nl, what do you know from …
NK = NL
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guided practice proving lines parallel type your answer and then click …
\(20\)
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guided practice proving lines parallel type your answer and then click …
\(x = 20\)
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find the center and radius of the circle represented by the equation be…
Center: \((4,-8)\) Radius: \(8\)
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a horizontal line m is shown with two similar triangles, abc and def. h…
B. a dilation, then a translation to the right
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r s v 80° 3 1 2 u 35° 36° t $m\\angle1=$ 108 $^{circ}$; $m\\angle2=$ 28…
\(m\angle1 = 108^{\circ}\), \(m\angle2 = 28^{\circ}\), \(m\angle3 = 72^{\circ}\)
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7. given ( overline{ab} cong overline{xy} ), and ( o ) is the midpoint …
Since \(AO=\frac{1}{2}AB\), \(XO=\frac{1}{2}XY\) and \(AB = XY\) (because \(\overline{AB}\cong\overline{XY}\)), we can conclude that \(XO\cong AO\) (by the substitution property o…
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5. a rectangle has a perimeter of 76 cm. the length measures (x + 4). t…
6. C. \(x = 0\) only 7. C. \(x=-2\) and \(x = 7\) 8. A. No solution
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4. a playground is in the shape of an isosceles trapezoid, where the su…
C. The equation \(2x + 2(95)=360\) can be used to find the value of \(x\) is \(85\).
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try it! 2. a. find ad for the triangle. enter your answer. 21
\(31.5\)
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find the length of side b. c = 61.3° b = 48.7° b = ? round to the neare…
$12.0$
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find the measure of angle b. c = 61.3° b = ?° b = round to the nearest …
\(48.7\)
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find the measure of angle c. round to the nearest tenth.
$61.3$
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ln and oq are parallel lines. which angles are alternate exterior angle…
\(\angle QPM\) and \(\angle LMP\)
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which statement proves that pqrs is a parallelogram? the slopes of \\( …
The slopes of \(\overline{RS}\) and \(\overline{QP}\) are both \(3\) and \(SP = RQ=\sqrt{45}\).
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3. which step in the proof has a flaw? given: rs = 8 and xy = 8 prove: …
Reason 2
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gt and jl are parallel lines. which angles are alternate exterior angle…
$\angle GHF$ and $\angle LKM$
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what is the perimeter of parallelogram wxyz? √5 + √17 units 2√5 + 2√17 …
\( 2\sqrt{5}+2\sqrt{17} \) units.
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each small square on the grid is 1 in². which estimate best describes t…
\(15\ in^{2}\)
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2. what does a formal proof need to have? justification for each step. …
Justification for each step.
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what is the radius of a circle whose equation is $(x - 7)^{2}+(y - 10)^…
2 units
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1. curtis is trying to justify a step in his paragraph proof. what is t…
Symmetric Property of Congruence
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gi and jl are parallel lines. which angles are alternate exterior angle…
\(\angle IHF\) and \(\angle JKM\)
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try it! 1. use the figure shown. a. what are the altitude and median th…
The altitude is \(CE\) and the median is \(BD\).
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what is the center of a circle represented by the equation $(x + 9)^2+(…
\((-9,6)\) (i.e., the first option)
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what is the radius of a circle whose equation is ( x^{2}+y^{2}+8x - 6y+…
2 units
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pr and su are parallel lines. which angles are alternate interior angle…
\(\angle UTQ\) and \(\angle PQT\)
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what is the area of a parallelogram whose vertices are ( a(-12,2) ), ( …
\(90\)
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what is the perimeter of kite klmn? √2 + √5 units √14 units 2√2 + 2√5 u…
\(2\sqrt{2}+2\sqrt{5}\) units (i.e., the third option)
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calculator what is the area of rhombus abcd? enter your answer in the b…
\(16\)
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ln and oq are parallel lines. which angles are alternate interior angle…
$\angle NMP$ and $\angle OPM$
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two circles are concentric if they have the same center. which equation…
\((x - 4)^{2}+(y - 6)^{2}=16\) (the second option)
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which equation represents the general form a circle with a center at (-…
\(x^{2}+y^{2}+4x + 6y-3 = 0\) (the third option)
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in the diagram, wz=√26. what is the perimeter of parallelogram wxyz? 2√…
\( 2\sqrt{26}+8 \) units
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st tenth. 2) 6 73° x
\(x\approx1.8\)
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what is the perimeter of square abcd? √37 units 4√37 units 28 units 37 …
\(4\sqrt{37}\) units
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what is the scale factor of the dilation of triangle def? $\frac{3}{10}…
$\frac{3}{7}$
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in the diagram, a circle centered at the origin, a right triangle, and …
\((x - h)^2+(y - k)^2 = r^2\) (the second option)
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which equations represent circles that have a diameter of 12 units and …
\(x^{2}+(y - 3)^{2}=36\), \(x^{2}+(y + 8)^{2}=36\)
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what is the radius of a circle whose equation is $x^{2}+y^{2}+8x - 6y +…
A. 2 units
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find the length of side c. b = 58° a = 6.7 c = ? round to the nearest t…
\(1.6\)
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find the length of side a. b = 58° a = ? c = round to the nearest tenth.
\(6.7\)
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in the figure below, ( mangle wxz = 77^{circ} ), and ( mangle 1 ) is ( …
\(25\)
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12. (5pts) find all angles and side lengths in the triangle diagram
The angles are \(50^{\circ}\), \(60^{\circ}\), and \(70^{\circ}\). If we assume a common multiplier \(k\) for side - length calculation using the Law of Sines (\(\frac{a}{\sin50^{…
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find the measure of angle b. round to the nearest tenth.
\(58\)
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which equation represents a circle that contains the point (-5, -3) and…
\((x + 2)^2+(y - 1)^2=25\) (the third option)
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in the figure below, ( mangle wxz = 60^{circ} ), and ( mangle 1 ) is th…
\(15\)
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which equation represents a circle that contains the point (-2, 8) and …
\((x - 4)^2+y^2 = 100\) (First option)
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does the point $(1,\\sqrt{7})$ lie on the circle shown? explain. yes, t…
Yes, the distance from \((-2,0)\) to \((1,\sqrt{7})\) is \(4\) units.
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in the figure below, ( mangle1 = 35^{circ} ) and ( mangle2 = 96^{circ} …
\(131\)
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which angles form a linear pair? ∠prl and ∠lrm ∠orp and ∠mrn ∠mrn and ∠…
$\angle LRP$ and $\angle ORP$
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in the figure below, ( mangle pqr = 152^circ ) and ( mangle 1 = 57^circ…
\(95\)
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planes s and r both intersect plane t which statements are true based o…
- The line containing points A and B lies entirely in plane T. - Line z intersects plane S at point C. - Planes R and T intersect at line y.
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field #1 field #2 field #3 (a) fill in the table to find the width and …
(a) | Field #1 | Field #2 | Field #3 | |--|--|--| | Length | \(3\) m | \(4\) m | \(5\) m | | Width | \(3\) m | \(2\) m | \(1\) m | | Area | \(9\) \(m^2\) | \(8\) \(m^2\) | \(5\) \…
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right triangles ( abc ) and ( def ) are drawn to measure the slope of t…
(a) rise: \(8\), run: \(12\), slope: \(\frac{2}{3}\) (b) rise: \(2\), run: \(3\), slope: \(\frac{2}{3}\) (c) Yes. They are equal because the two triangles are similar.
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calculate the distance between the points q=(1,0) and e=(-2,6) in the c…
\(3\sqrt{5}\)
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calculate the distance between the points c=(2, -7) and e=(5, -3) in th…
\( 5 \)
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a point has the coordinates (m,0) and m≠0. which reflection of the poin…
D. a reflection of the point across the line \(y = -x\)
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which congruence theorem can be used to prove \\( \\triangle bda \\cong…
A. HL
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find the volume of a cone with a height of 9 m and a base radius of 5 m…
\( 235.5\space m^{3} \)
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in the diagram, \\( \\angle j \\cong \\angle m \\) and \\( \\overline{j…
$\overline{JK}\cong\overline{MN}$
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find the volume of a cone with a base diameter of 6 in and a height of …
\(94.2\ \text{in}^{3}\)
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find the volume of a cone with a base radius of 5 yd and a height of 9 …
\(235.5\) \(yd^{3}\)
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if point p is \\( \\frac { 4 } { 7 } \\) of the distance from m to n, w…
B. \(4:3\)
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find the missing side. round to the nearest tenth. remember: sohcahtoa
\(31.3\)
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is there a senes of rigid transformations that could map \\( \\triangle…
Yes, \(\triangle QRS\) can be translated so that \(Q\) is mapped to \(A\) and then reflected across the line containing \(\overline{QS}\)
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find the missing side. x = ? round to the nearest tenth. remember: sohc…
$13.0$
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find the missing side. 13 x 32° x = ? round to the nearest tenth. remem…
\(6.9\)
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find the missing side. 19 36° y y = ? round to the nearest tenth. remem…
\(15.4\)
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what is the perimeter of a polygon with vertices at $(3,2)$, $(3,9)$, $…
\(32\)
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find the missing side. enter the known side. remember: sohcahtoa
$15$
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find the missing side. enter sin, cos, or tan. remember: sohcahtoa
$\cos$
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calculator what is the perimeter of the triangle shown on the coordinat…
27.6 units
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what additional information is needed to prove that the triangles are c…
$\overline{OA}\cong\overline{MA}$
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find the trig ratio. 29 20 21 θ sin(θ) = ? enter as a decimal. round to…
\(0.69\)
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what is the length of \\overline{ac}? 3 ft 4 ft 18 ft 12 ft
D. \(12\ ft\)
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find the trig ratio. 17 8 15 θ \\( \\tan \\theta = \\frac { \\square } …
\(\tan\theta=\frac{8}{15}\)
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what is the area of a triangle with vertices at $(-2,1),(2,1)$, and $(3…
\(6\)
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find the trig ratio. remember: sohcahtoa
$\frac{15}{17}$
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calculator what is the perimeter of the rectangle shown on the coordina…
30.6 units
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what is the area of a rectangle with vertices at $(-6,3)$, $(-3,6)$, $(…
24
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which congruence theorem can be used to prove $\triangle wxscong\triang…
HL
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given \\( \\overline { r s } \\) bisects \\( \\angle m r q , \\angle r …
$\Delta RMS\cong\Delta RQS$ by $AAS$
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consider \\( \\triangle rst \\) and \\( \\triangle ryx \\). if the tria…
B. \(\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}\)