Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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fill in the missing reason. a. aas b. sas c. sss d. asa
D. ASA
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a new gardening misting system uses spherical misters placed throughout…
\(6.0\)
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△jkl has vertices with the coordinates j(4,5), k(7,9), and l(11,6). fin…
\(17.07\)
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fill in the missing statement. a. \\( \\angle b a c = \\angle d a c \\)…
A. \( \angle BAC = \angle DAC \)
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y = 8√3 color light purple y = e 27 60° y x = number x = y = color y h
\(x = 9\sqrt{3}\), \(y=18\sqrt{3}\)
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if ad bisects <edi, then id=ed <ade=<ida ia=ae all of the above
\(\angle ADE=\angle IDA\)
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d 10 60° number color x= y=
\(x = 5\sqrt{3}\), \(y = 5\)
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ir and ln are parallel lines. which angles are vertical angles? ∠nmo an…
\(\angle NMO\) and \(\angle IJM\)
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given: ab = ad, ac is an angle bisector of ∠bad prove: △acd ≅ △acb what…
\(\angle BAC\cong\angle DAC\)
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km and np are parallel lines. which angles are vertical angles? ∠klj an…
\(\angle KLO\) and \(\angle MLJ\)
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if da is perpendicular to ie, then we can immediately conclude that <ia…
\(\angle IAD\) and \(\angle DAE\) are right angles
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np and qs are parallel lines. which angles are supplementary angles? ∠q…
\(\angle QRT\) and \(\angle QRO\)
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part 1: let h be the height of \\( \\triangle jkl \\). find the length …
Part 1: \(7\) Part 2: \(15\) Part 3: \(7\), \(15\) Part 4: \(\frac{1}{2}bc\sin A\)
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gi and jl are parallel lines. which angles are adjacent angles? ∠ihf an…
\(\angle LKH\) and \(\angle JKH\)
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14) slide red circles in front of correct answer. determine all of the …
B. \(y=\sqrt{x + 6}-5\), D. \(y + 5=(x + 2)^{2}\), F. \(y=x^{2}-5\)
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13) slide red circle in front of correct answer. determine which functi…
C. \(f(x)=-2(x - 4)^{2}+3\)
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the general form of a circle is $x^{2}+y^{2}-6x + 4y+9 = 0$. complete t…
The equation of the circle in standard form is \((x - 3)^{2}+(y+ 2)^{2}=4\) The center of the circle is at \((3,-2)\) The radius of the circle is \(2\)
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a pilot is flying over the ocean. she determines that the angles of dep…
\(5.1\)
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mountain officials want to build a new ski lift from b to c, as shown i…
\(668.3\) feet
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consider a triangle abc like the one below. suppose that ( b = 58 ), ( …
\(A = 35.8^{\circ},C = 115.2^{\circ},c = 108.3\) or \(A = 144.2^{\circ},C = 6.8^{\circ},c = 14.2\)
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consider a triangle abc like the one below. suppose that c = 44, b = 23…
\(B = 30.9^{\circ}\), \(A = 48.1^{\circ}\), \(a = 33.4\)
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derive the equation of the circle with a center at $(h,k)$ and a radius…
\((x - h)^{2}+(y - k)^{2}=r^{2}\)
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c d 8 x y 30°
\(x = 16\), \(y = 8\sqrt{3}\)
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consider a triangle abc like the one below. suppose that c = 14, a = 54…
No solution
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a) 95° mrs. healy b) 98° mr. addison c) 102° ms. fitzgerald d) 105° mr.…
E. \(109^{\circ}\)
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qs and tv are parallel lines. which angles are adjacent angles? ∠qrp an…
\(\angle SRU\) and \(\angle QRU\)
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c color clark blue d 8 x= number x= y= color y=
\(x = 16\), \(y = 8\sqrt{3}\)
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x and mo are parallel lines. which angles are corresponding angles? ∠mn…
$\angle MNP$ and $\angle LKI$
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derive the area of a sector formula. move the answers to the boxes to c…
First box: \(\frac{\pi r^{2}}{2\pi}=\frac{A}{\theta}\) Second box: \(\pi r^{2}\theta = 2\pi A\) Third box: \(A=\frac{1}{2}r^{2}\theta\)
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consider a triangle abc like the one below. suppose that ( a = 28 ), ( …
\(A = 36.9^{\circ}, B = 99.9^{\circ}, C = 43.2^{\circ}\)
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fh and tk are parallel lines. which angles are supplementary angles? ∠k…
\(\angle KJG\) and \(\angle KJL\)
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writing inequalities: for each of the following situations... (1) highl…
1. Key terms: "at least" 2. Inequality: \( p\geq5 \) 3. Graph: Closed circle at \( 5 \), arrow to the right on number line 4. Solutions: \( 5 \), \( 6 \) (answers may vary for sol…
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use the picture to answer the next two questions. 8. write and simplify…
8. The simplified expression for the perimeter is \(14x + 10\). 9. When \(x = 3\), the perimeter of the rectangle is \(52\) inches.
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mountain officials want to build a new ski lift from b to c, as shown i…
\(669.0\)
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special right coloring activity! date: directions: find the value of x …
\(x = 12\), \(y\approx16.97\)
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write the standard form of the equation of the circle with the given ce…
\((x + 3)^2+(y - 7)^2=4\)
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lines (ell), (m), and (n) are parallel and cut by transversal (p). ente…
\(x = 26\) and \(y = 54\)
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find the distance between the pair of points (5.3,8.2) and (-0.7,5.2). …
The distance between the given points is \(3\sqrt{5}\) units. A. The distance between the given points is approximately \(6.71\) units.
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rotate the point 137° to within 10°.
The point rotated $137^{\circ}$ is closest (within $10^{\circ}$) to a rotation of $135^{\circ}$ (or $\frac{3\pi}{4}$ radians).
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prove that all circles are similar using two circles, \\( \\odot a \\) …
For \(\odot A\): \(\frac{C_A}{a} = 2\pi\); for \(\odot B\): \(\frac{C_B}{b}=2\pi\); transitive property equation: \(\frac{C_A}{a}=\frac{C_B}{b}\)
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circumscribed angle aec intercepts circle o at a and c. central angle a…
\(93^{\circ}\)
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inscribed angle ( abc ) is ( 35^{circ} ) and shares points ( a ) and ( …
\(70^{\circ}\)
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the blue triangle has rotated from quadrant i to quadrant iii about the…
B. The signs of the coordinates change.
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13. in the figure, the horizontal lines are all parallel to one another…
C. 12 ### Question 14
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estimate the given rotation within 10 degrees:
\(150^{\circ}\)
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11. ∠dpg and ∠jkl are complementary angles. ∠dpg = x + 4 and ∠jkl = x -…
A. \(49.5^{\circ}\) and \(40.5^{\circ}\)
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estimate the given rotation within 10 degrees:
\(160^{\circ}\)
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find the values of x and y. a. x = 15, y = 17 b. x = 17, y = 15 c. x = …
For the first problem: A. \(x = 15,y = 17\) For the second problem: \(25\)
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7. complete the congruence statement: a. b. c. d. 8. in the figure, . w…
7. A. \(\angle DFG\) 8. \(\angle AEB\) and \(\angle BEC\) are vertical angles
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20. estimate: 1 3/4 - 2/5 a. about 1 b. about 1 1/2 c. about 1 1/4 d. a…
C. About $1\frac{1}{4}$
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6. given: ( ab ) and ( cd ) bisect each other at point ( m ) and ( bm =…
\(BM = DM\): Definition of bisect; \(AB = AM + BM\): Segment Addition Postulate; \(BM = CM\): Given; \(CM = DM\): Definition of bisect.
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a trapezoid in quadrant iii rotates 180° clockwise about the origin. wh…
A. The signs change from negative to positive.
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what is the value of x? a. 17 b. 3 c. -3 d. -17
A. 17
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estimate the given rotation within 10 degrees:
\(280^{\circ}\)
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what is the relationship between ∠3 and ∠7? a. corresponding angles b. …
- For the relationship between \( \angle3 \) and \( \angle7 \): A. corresponding angles - For the relationship between \( \angle2 \) and \( \angle7 \): C. alternate exterior angles
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1. name an angle vertical to \\( \\angle d g e \\). a. \\( \\angle d g …
C. $\angle IGE$
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1. name an angle vertical to ∠dge. a. ∠dgf b. ∠igj c. ∠ige d. ∠hge 2. w…
B. \(\angle IGJ\) ### Question 2
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a rectangular field has a length of 15.2 meters and a width of 7.13 met…
The field has a perimeter of \(44.7\) meters and an area of \(108.4\) square meters.
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transformations in the plane 2 question 1 a single transformation in th…
Question 1: A. The property defines a reflection. Question 2: B. The property defines a rotation.
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estimate the given rotation within 10 degrees:
\(220^{\circ}\)
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19 ray mo bisects ∠lmn, ∠lmo = 8x - 23, and ∠nmo = 2x + 31. solve for x…
For question 19: \(x = 9\) (Option A). For question 20: \(\angle LMO = 49^{\circ}\) (Option C).
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17. find the distance between the two points: t(6,17) and d(6,24) a. 41…
17. B. 7 18. B. 77
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13. find the area of the figure in square feet: 49 ft 74 ft a. 123 b. 2…
D. 3626
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a rectangular aquarium is 1.2 meters long, 0.5 meters wide, and 0.8 met…
\(0.36\)
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11. find the area of \\( \\triangle a b c \\) with vertices \\( a ( - 7…
D. 24 square units
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9. if ( ef = 5x + 14 ), ( fg = 13 ), and ( eg = 127 ), find the value o…
D. 20 ### Question 10
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a model of a swimming pool has a volume of 0.8 cubic meters, and the sc…
\(6400\)
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7. which statement is true? a. points v, x, and w are coplanar b. plane…
7. D. points \(S\), \(T\), and \(U\) are coplanar 8. A. line segment \(VZ\)
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5. ray sq bisects ∠rst and the measure of ∠rsq = 4x - 8. if ∠rst = 80, …
A. 12
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a swimming pool has a 3 - foot wide cement walkway around its perimeter…
\(24(x + 5)\)
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a bridge is 300 meters long and 50 meters wide. you need to create a mo…
\(0.25\)
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a. 12 b. 22 c. 80 d. 40 6. what is the name of the ray that is opposite…
A. ray \(AD\)
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a model of a bridge is 8 centimeters long, while the actual bridge is 3…
The model has a scale factor of \(\frac{1}{400}\). The actual bridge is \(20\) meters high.
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3. if z is the midpoint of rt, what is the measure of rt? a. 119 b. 17 …
\(192\) (Option C) ### Question 4
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if cdef ≅ klmn, what are the congruent corresponding parts? o a. sides:…
B. Sides: \(\overline{CD}\cong\overline{KL},\overline{DE}\cong\overline{LM},\overline{EF}\cong\overline{MN},\overline{CF}\cong\overline{KN}\); Angles: \(\angle C\cong\angle K,\ang…
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1. if z is the midpoint of rt, what is the value of x? a. 119 b. 17 c. …
1. B. 17 2. C. 96
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17. select the congruence theorem that proves the triangles are congrue…
A. SAS
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a. \\( \\triangle s q p \\cong \\triangle r t q \\) b. \\( \\triangle s…
For the first problem: D. \( \triangle PQS\cong\triangle TRQ\) For the second problem: A. SAS
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7. a painter needs to paint the bottom of a circular pool. the pool has…
The painter must buy 10 cans. Because we cannot buy a fraction of a can, and 9 cans (\(9\times300 = 2700\) square feet) is not enough to cover 2826 square feet, so we need to roun…
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9. the table below shows mias scores for each of three rounds in a triv…
E. 3
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14. which congruence rule can be used to show that the two triangles ar…
14. B. SAS 15. A. A reflection over the \(x\) - axis followed by a reflection over the \(y\) - axis
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12. which of the combinations of sides and angles is sufficient to prov…
B. Two corresponding angles and the non - included side, C. Two corresponding sides and the included angle, D. Two corresponding angles and the included side
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a classroom is arranged with 30 desks, and the desk density is 0.5 desk…
10
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image long description given that lines ( l ) and ( n ) are perpendicul…
B. \( \triangle ABC \) is similar to \( \triangle EDA \)
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two triangles are shown. triangle 1 17 4(-3x + 22) 6x triangle 2 5x 24 …
a. The perimeter of Triangle 1 is \(P_1 = 105-6x\), and the perimeter of Triangle 2 is \(P_2=-30 + 20x\). b. When \(x = 5\), Triangle 1 has a greater perimeter.
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given: \\( \\angle a b c = 90 ^ { \\circ } \\) which statements (if any…
10. A. \(\angle2\) and \(\angle3\) are complementary 11. C. A translation of 4 units down, followed by a reflection over the \(x\) - axis; D. A rotation of \(270^{\circ}\) followe…
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8. which statements (if any) are true about the diagram? select all tha…
8. B. \(\angle PQS\) and \(\angle SQT\) are supplementary; C. \(\angle PQT\) is a straight angle. 9. C. \(\angle AEB = 90^{\circ}\)
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no additional details were added for this assignment. you are asked to …
The smallest size of the box is \(7\) inches (length), \(7\) inches (width), and \(11\) inches (height). The lowest cost of the box is \(\$20.3\)
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7. given: ∠abc is a right angle. prove: x = 8 11x = 88 (6x + 5)° + (5x …
$x = 8$
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4. using the statement: \the grapes are purple\, write the negation of …
A. The grapes are not purple ### Question 5
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the vertices of △def are located at d(5/8, -2), e(4, 3), and f(-3/2, 7/…
\(E'=(4, - 3)\), \(F'=(-\frac{3}{2},-\frac{7}{4})\)
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the vertices of △def are located at d(3, -2), e(4, 3), and f(-3, 4). △d…
\(D'\): \((-3,-2)\), \(E'\): \((-4,3)\), \(F'\): \((3,4)\)
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which angle is the smallest? answer all the questions to submit
\(\angle G\)
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qs and tv are parallel lines. which angles are supplementary angles? ∠q…
\(\angle QRU\) and \(\angle VUR\)
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select the transformation that maps the figure onto itself. a a reflect…
A. A reflection over an altitude of the triangle.
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△gef ∠g = 44°, ∠e = 33°, ∠f = 103° arrange the sides from shortest to l…
\(\overline{GF},\overline{EF},\overline{GE}\)
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mo and pr are parallel lines. which angles are alternate interior angle…
\(\angle ONQ\) and \(\angle PQN\)
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calculate the value of x. x = 17 x = 27 none of these x = 44
\(x = 44\)
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calculate the value of x. x = 84 x = 96 x = 32 none of these
\( x = 84 \)
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which side is the shortest? both \\( ef \\) and \\( de \\) \\( de \\) \…
\(\overline{DE}\)