幾何
三角形、円、座標幾何、証明問題。
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ible) the triangles can be proven similar. 11. a. aa~ b. sss~ c. sas~ d…
C. SAS~
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for questions 10 - 13, determine (if possible) 10. a. aa~ b. sss~ c. sa…
A. AA~
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12. a. aa~ b. sss~ c. sas~ d. not similar
B. \(SSS\sim\)
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the lengths of a triangle are given below. is the the triangle obtuse, …
acute
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1. find $mangle bdc$. (a.) $25^{circ}$ (b.) $52^{circ}$ (c.) $2^{circ}$…
b. \(52^{\circ}\)
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given the 3 lengths of a triangle are 6 in, 8 in and 10 in. will this m…
yes
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for questions 10 - 13, determine (if possible 10. a. aa~ b. sss~ c. sas…
B. SSS~
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8. if \\( \\triangle pts \\sim \\triangle pqr \\), find the value of \\…
For problem 8: \(x = 7\) For problem 9: \(FH=39\)
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9. reflect the figure shown over the y - axis. record the coordinates o…
9. \( M'(8,2) \); \( A'(8,6) \); \( T'(2,6) \); \( H'(2,2) \) 10. \( J'(-1,3) \); \( K'(-7,4) \); \( L'(-4,7) \) 11. a. same; b. changed; c. changed 12. a. same; b. changed; c. ch…
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the lengths of a triangle are given below. is the the triangle obtuse, …
acute
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what is the longest side of a right triangle called? hypotenuse leg b p…
Hypotenuse
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7. if \\( \\triangle h b n \\sim \\triangle l y r \\), find the value o…
\(13\)
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find the value of x. 12 25 16 36
25
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find the exact values of the six trigonometric functions of the given a…
A. \(\csc240^{\circ}=-\frac{2\sqrt{3}}{3}\) A. \(\sec240^{\circ}=-2\) A. \(\cot240^{\circ}=\frac{\sqrt{3}}{3}\)
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a piece of paper that savanna has is 11 inches tall and 8 inches wide. …
13.6 in
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reflections on the coordinate plane for questions 1 - 8, identify the l…
1. x - axis 2. x - axis 3. y - axis 4. y - axis 5. y - axis 6. x - axis 7. x - axis 8. y - axis
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find the value of x.
\(10\)
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which statement is the most accurate about the converse of the pythagor…
The converse is used to determine if a triangle is or is not a right triangle.
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which is the pythagorean theorem? √(x - x)^2 - (y - y)^2 a² + b² = c² (…
$a^{2}+b^{2}=c^{2}$
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6. if \\( \\triangle c d e \\sim \\triangle f g e \\), find the value o…
\(x=\frac{1000}{27}\)
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find the exact values of the six trigonometric functions of the given a…
- \(\csc240^{\circ}=-\frac{2\sqrt{3}}{3}\) - \(\sec240^{\circ}=-2\) - \(\cot240^{\circ}=\frac{\sqrt{3}}{3}\)
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3. what is the scale factor of figure b to figure a?
\(0.4\)
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does the set of numbers represent a pythagorean triple. 10, 24, 26
Yes
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you need a ladder that will reach up a 25 foot tall house when placed 1…
27 feet
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find a and b. a = 10√2, b = 10√2 a = 5√2, b = 5√2 a = 10, b = 10√2 a = …
\(a = 5\sqrt{2}, b = 5\sqrt{2}\)
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to convert an angle measure from degrees to radians, what should the an…
C. \(\frac{\pi}{180}\)
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company logo a company has two options for logos as shown. the radius o…
D. The arc length is \(r\theta\) where \(\theta\) is the measure of the angle in degrees. The angle measure \(\alpha\) and the radius is \(1\) foot. By substitution, \(r\theta=1(\…
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find y. 24 6√3 6 12√3
\(6\sqrt{3}\)
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company logo a company has two options for logos as shown. the radius o…
C. \(\overline{AB}\) is not perpendicular to \(\overline{OB}\) and \(\overline{DC}\) is not perpendicular to \(\overline{OC}\) because points \(B\) and \(C\) are the endpoints of …
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2. graph \\( \\triangle p q r \\) with vertices \\( p ( - 7, - 4 ), q (…
- \(PQ = 5\), \(XY=5\), \(QR = 5\), \(YZ = 5\), \(RP=6\), \(ZX = 6\) - \(\overline{PQ}\cong\overline{XY}\), \(\overline{QR}\cong\overline{YZ}\), \(\overline{RP}\cong\overline{ZX}\…
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14/20 a rectangular field is 50 yards wide and 100 yards long. patrick …
111.8 yards
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find x. 18 2 2√9 9√2
\(9\sqrt{2}\)
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jayson graphs logo b in the coordinate plane to find the points of each…
B. The triangle in Quadrant I intersects the circle at point \((\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2})\). When the triangle is reflected over the \(x -\)axis, it intersects the ci…
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level 2 solve for the value of y
\(5\)
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3 m∠acb= m∠abc=
\(m\angle ACB = 40^{\circ}\), \(m\angle ABC=63^{\circ}\)
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find x. 9 3√3 6 6√3
\(9\)
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jayson notices that logo a is divided into 6 equals sections where \\( …
B. \(\frac{\pi}{3}\)
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company logo a company has two options for logos as shown. the radius o…
A. The radian measure of the central angle is the ratio of \(s\) to \(1\).
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solve for x. 29) l k j i 6 2x - 2 4 + x 12
\(x = 12\)
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find a. 5 2 5\\sqrt{2} \\sqrt{2}
\(5\)
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1. the ratio of the sides of a triangle is 2:6:7. if the perimeter of t…
The perimeter of \(\triangle GHJ\) is \(35\)
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find a. 2\\sqrt{4} 4\\sqrt{2} 4 2
\(4\)
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what is the length of u and v in this 30 - 60 - 90 triangle? u = 4√2 v …
\(u = 4\sqrt{3},v = 8\) (the fourth option)
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find the midpoint, m, of \\( \\overline { a b } \\). \\( a = ( - 2, - 1…
\((-4,-5)\)
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find a. 3 2√3 6 2√6
\(2\sqrt{6}\)
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find the midpoint, m, of \\( \\overline { a b } \\). \\( a = ( - 3,1 ) …
\((-2,0)\)
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madison is on the top of an 80 foot building. she is creating a zipline…
60 feet
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level 1 the pythagorean theorem only works on which triangle? isosceles…
right
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if you are given the short leg of a 30 - 60 - 90 triangle, how do you f…
Multiply by 2
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25. △efg ~ △abc. find the value of x.
\(x = 13\)
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level 3 find the length of the missing side. 82 in. 18 in. 80 in. 16 in…
\(80\) in.
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convert the angle in radians to degrees. -\\frac{5\\pi}{6} -\\frac{5\\p…
\(-150\)
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24. complete the statement: △ select ≈ △ aln by select show your work
$\triangle FNI\cong\triangle ALN$ by SAS.
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23. if ( aocong ao ) by the reflexive property of congruence, what addi…
\(\overline{DO}\cong\overline{OB}\)
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lupita is building a gate following this diagram. if ( mangle lmn = 43^…
\(94\)
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which angles are congruent? a and c a and b c and b none
C. C and B
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21. which similarity theorem, if any is used to prove these triangles s…
Side Side Side ~ (SSS similarity theorem is used)
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20. determine how (if possible) the triangles can be proved similar? no…
AA -
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what is the length of each of the legs of the isosceles triangle?
14
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graph quadrilateral qrst with vertices q(1, - 1), r(1, 2), s(4, - 1), a…
The vertices of the original quadrilateral \(QRST\) are \(Q(1,-1)\), \(R(1,2)\), \(S(4,-1)\), \(T(4,-4)\). The vertices of the image after glide - reflection (translation \((x,y)\…
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19. determine how (if possible) the triangles can be proved similar? ss…
SAS -
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given \\( \\triangle abc \\) shown, if \\( m \\angle c = 40 ^ { \\circ …
\(40^{\circ}\)
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shown is an equilateral triangle. find the size y. find y
\(60\)
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17. complete the statement: δoeh ≅ δ select by select show your work
\(\triangle OEP\), SSS (Side - Side - Side)
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determine the length of the hypotenuse for the given 45 - 45 triangle: …
\(8\sqrt{10}\)
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determine the length of the legs for the given 45 - 45 - 90 triangle:
\(16\sqrt{6}\)
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determine the length of the hypotenuse for the given 45 - 45 - 90 trian…
\(3\sqrt{2}\)
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16. if (\triangle efgcong\triangle hjk), complete each part. (overline{…
\(\angle H\cong\angle E\), \(\angle F\cong\angle J\), \(\overline{HJ}\cong\overline{EF}\), \(\overline{EG}\cong\overline{HK}\), \(\triangle FGE\cong\triangle JKH\)
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complete each problem as indicated. you must show all of your work to r…
b. \(AB = 3\), \(DE = 3\), \(BC = 4\), \(EF = 4\), \(CA = 5\), \(FD = 5\) c. \(\overline{AB}\cong\overline{DE}\), \(\overline{BC}\cong\overline{EF}\), \(\overline{CA}\cong\overlin…
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graph △rst with vertices ( r(4,1) ), ( s(7,3) ), and ( t(6,4) ) and its…
The vertices of \(\triangle RST\) are \(R(4,1)\), \(S(7,3)\), \(T(6,4)\). After translation \((x,y)\to(x - 3,y)\) the vertices are \(R'(1,1)\), \(S'(4,3)\), \(T'(3,4)\). After ref…
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find the values of x & y using the relationships of the angles. round y…
\(x = 26.7\), \(y = 46.8\)
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find the length of \\( \\overline { s r } \\).
\(36\)
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given: point d is in the interior of ∠abc. if m∠abc = 44° and the m∠cbd…
\(32\)
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what is the area, measured in square centimeters, of the parallelogram …
18
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the perimeter of the square kitchen floor measures 48 feet. what is the…
C. 144 square feet
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14. since ∠arw ≅ ∠mrs because vertical angles are congruent, what addit…
\(\angle W\cong\angle M\)
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what is the perimeter, measured in centimeters, of the rectangle pictur…
10
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13. in the figure, what additional piece would need to be congruent in …
\(\overline{LP}\cong\overline{LM}\)
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fill in the blank. the ______ is the distance around a circle. a. chord…
D. circumference
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using the diagram above, find the value of the angles below using the r…
\(m\angle1 = 50\) \(m\angle2=130\) \(m\angle3 = 50\) \(m\angle5=50\) \(m\angle6 = 130\)
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12. determine how (if possible) the triangles can be proved similar? aa…
AA~
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question 20 (4 points) a psychophysicist would be most directly concern…
- Question 20: The relationship between the wavelength of light and the experience of color - Question 21: Yellow
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what is this? a line a line segment a ray a point
a ray
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plot the point (0,6) below.
The point \((0,6)\) is plotted on the \(y\)-axis, 6 units above the origin.
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what is the volume, measured in cubic centimeters, of the shape below? …
108
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try again your answer is incorrect. • (b): your response for a diameter…
(a) \(\overline{TS}\) (or \(\overline{TU}\) or \(\overline{TV}\)) (b) \(\overline{UV}\) (c) \(\overline{WR}\) (or \(\overline{UV}\)) (d) \(20\) units
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if the diameter of a circle is 5, what is its circumference? a. $2.5pi$…
C. \(5\pi\)
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what is the volume, measured in cubic centimeters, of the shape below? …
90
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10. solve for x, to the nearest tenth. use the triangle proportionality…
\(10.7\)
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if pine street is parallel to locust street, find the vales of a and b.…
\(a = 103\) \(b = 77\)
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9. complete the statement: δflw and δylw are select show your work
\(\triangle FLW\cong\triangle YLW\) (by SAS congruence)
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2 create a true statement about the slope and y - intercept of the grap…
The slope of the line is \(-0.5\) and the y - intercept is \(-6\)
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prove ( overline{ac} cong overline{bd} ) complete the proof statements …
3. Addition Property of Equality 4. Segment Addition Postulate
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8. what is the scale factor of figure a to figure b (left to right)? wr…
\(\frac{5}{2}\)
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the radius of a cylindrical construction pipe is 2.5 ft. if the pipe is…
\(550\) cubic feet
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julie is building this staircase with a rail. what measure of \\( \\ang…
\(133\)
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7. if \\( \\triangle p q r \\cong \\triangle s t u \\), find the measur…
\(ST = 7m\), \(SU=8m\), \(m\angle R = 75^{\circ}\), \(m\angle Q=46^{\circ}\)
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 37\)
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the segment in this diagram that divides ab into two congruent parts is…
perpendicular bisector
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which of the following geometric constructions can have a perpendicular…
segments