Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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find the value of x.
10
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b a 36m x c 18m d
\(x = 18\sqrt{5}\text{ m}\approx40.32\text{ m}\)
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a baseball diamond is really a 90 foot square. lets say the catcher is …
The catcher throws the ball approximately \(127.26\) feet.
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gilberts family is building a walkway between the second floor balcony …
\(40\) feet.
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a rectangular field is 50 yards wide and 100 yards long. patrick walks …
\(111.8\) yards
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problem 17: (first taught in lesson 51) find x, y, and z. after you ent…
\(x = 5.4\), \(y = 72\), \(z = 108\)
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what is the formula used to solve for the hypotenuse?
\(a^{2}+b^{2}=c^{2}\)
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problem 17: (first taught in lesson 51) find x, y, and z. after you ent…
\(x = 5.4\), \(y = 72\), \(z = 108\)
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find the surface area of this cube. be sure to include the correct unit…
\(96\) \(ft^{2}\)
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find the surface area of this rectangular prism. be sure to include the…
\(318\space m^{2}\)
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question which segment is adjacent to \\( \\angle x \\)? answer \\( \\o…
$\overline{ZX}$, $\overline{AX}$
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problem 16: (first taught in lesson 55) from this given statement, sele…
The theorem that if one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.
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problem 15: (first taught in lesson 51) from this given statement, sele…
The theorem that justifies \( \overline{MO}\cong\overline{PN}\) is "the diagonals of an isosceles trapezoid are congruent".
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question which segment is opposite to \\( \\angle l \\)? answer \\( \\o…
\(\overline{ZN}\)
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the pythagorean theorem only works on which triangle? isosceles bscalen…
right
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problem 14: (first taught in lesson 57) from this given statement, sele…
The property of a rhombus (that the diagonals of a rhombus are perpendicular) justifies the statement \(\overline{RT}\perp\overline{SU}\).
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which segment is adjacent to ∠r? answer overline{nr} overline{lr} overl…
\(\overline{LR}\)
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find the volume of this sphere. sphere formulas sa = 4πr² v = 4/3 πr³ v…
\(\frac{5324\pi}{3}\text{ in}^3\)
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leg the line thingy pythagorean theorem hypotenuse this is always oppos…
hypotenuse
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problem 13: (first taught in lesson 56) read the true statement below a…
Converse: False. Inverse: False. Contrapositive: True.
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read the true statement below and then tell whether the converse, inver…
Converse: False; Inverse: False; Contrapositive: True
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tanya runs diagonally across a rectangular field that has a length of 4…
50 yards
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(2 points) the rule for a repeating pattern is \square, circle, oval, c…
To find the 22nd shape of the pattern, divide 22 by 4. The remainder is 2, making the 22nd shape a circle.
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complete this sentence by selecting always, sometimes, or never. pairs …
B. sometimes
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question which segment is the hypotenuse? answer
\(\overline{NV}\)
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tanya runs diagonally across a rectangular field that has a length of 4…
50 yards
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problem 10: lesson 56) complete this sentence by selecting always, some…
A. always
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solve for c
\(13\)
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problem 9: (first taught in lesson 56) select which type of polygon thi…
D. rhombus
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after you pick your answer press go. a. isosceles trapezoid b. parallel…
A. isosceles trapezoid
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rotate \\( \\triangle s t u \\) \\( 90^{circ} \\) clockwise around the …
Plot the new points \(S'(-10,5)\), \(T'(-15,0)\), \(U'(-15,10)\) and connect them to form the rotated triangle.
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two sides of a triangle is ________ to the third side and ________ its …
C. parallel; one - half
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find the missing side
\(6.4\)
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problem 5: (first taught in lesson 53) complete this sentence with the …
E. diagonals
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a piece of paper that brittany has is 11 inches tall and 8 inches wide.…
\(13.6\) in
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leg pythagorean theorem hypotenuse right triangle this is the longest s…
hypotenuse
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complete this sentence with the best of the choices given. a __________…
E. trapezoid
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an airplane flies 56 miles due north and then 33 miles due east. how ma…
65 miles
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find the volume of this cone. round to the nearest tenth. 10ft 8ft ? ft3
\( 669.9\space ft^{3} \)
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problem 3 lesson 50) complete this sentence with the best of the choice…
C. 360
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for each triangle, check all that apply. triangle a triangle b triangle…
- Triangle A: Isosceles, Equilateral - Triangle B: Scalene - Triangle C: Isosceles - Triangle D: Isosceles
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in △jkl, m∠j = 40 and m∠l is 3 times m∠k. find m∠k and m∠l.
\( m\angle K = 35 \), \( m\angle L=105 \)
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ind the volume of the cone. 12 cm r = 8 cm v = ? cm³ round to the neare…
\(804.2\)
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given: ( \triangle nop cong \triangle qrp ); n is the midpoint of ( ove…
6. \(MN = QR\) 7. \(MQ\parallel NR\); Alternate interior angles from \(\triangle NOP\cong\triangle QRP\) 8. A quadrilateral with one pair of opposite sides equal and parallel is a…
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given: ( \triangle nopcong\triangle qrp ); n is the midpoint of ( overl…
2. $NO = QR,\angle NOP=\angle QRP$; 4. $MN = NO$ (Reason: Definition of mid - point); 5. $MN = QR$ and $MN\parallel QR$ (so $MNQR$ is a parallelogram)
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given: rectangle ejhg, overline{ji} cong overline{fg} prove: overline{e…
\(\overline{EI}\cong\overline{HF}\) (Corresponding parts of congruent triangles are congruent)
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what are the values of the variables in each figure? see examples 1 - 3…
16. \(x = 63\) 17. \(x = 48\) 18. \(x = 98,y = 38\) 19. \(x = 110,y = 19\)
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find the values of the missing angles in the diagram below. draw
\( w = 79^{\circ} \), \( x = 101^{\circ} \), \( y = 89^{\circ} \), \( z = 62^{\circ} \)
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what are the lengths of the major and minor axes of the ellipse ( 72y +…
Length of major axis \(=2\sqrt{30}\) Length of minor axis \(=10\)
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question 5 (multiple choice worth 2 points) (interior and exterior angl…
\(35.3^{\circ}\) (the fourth option)
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the lines c and d are parallel. what is the value of x based on the fol…
\(x = 3\)
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what are the vertices of the ellipse (5x^{2}+3y^{2}-10x - 12y-58 = 0)? …
\((1,7)\) and \((1,-3)\)
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in triangle def, ( mangle d=(3x + 27)^{circ}), ( mangle e=(4x + 22)^{ci…
\(126^{\circ}\)
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the lines e and f are parallel. what is the value of x based on the fol…
\(x = - 1\)
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question 6 (multiple choice worth 2 points) (interior and exterior angl…
\(157^{\circ}\)
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for exercises 24 - 27, find the measure of each angle. see example 4 24…
24. \(\angle1 = 79^{\circ}\) 25. \(\angle2 = 27^{\circ}\) 26. \(\angle3 = 74^{\circ}\) 27. \(\angle4 = 90^{\circ}\)
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the lines a and b are parallel. what is the value of x based on the fol…
\(x =-\frac{5}{3}\)
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question 5 (multiple choice worth 3 points) (interior and exterior angl…
\(35.3^{\circ}\)
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what are the foci of the ellipse $x^{2}+4y^{2}-12x - 64 = 0$? write you…
\((6 + 5\sqrt{3},0)\) and \((6-5\sqrt{3},0)\)
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question 4 (multiple choice worth 2 points) interior and exterior angle…
\(42.25^{\circ}\)
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what are the co - vertices of the ellipse (5x^{2}+2y^{2}-20 = 0)? write…
\((-2,0)\) and \((2,0)\)
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what are the lengths of the major and minor axes of the ellipse ( 9x^{2…
Length of major axis \(=6\) Length of minor axis \(=4\)
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what is the value of x in each figure? see example 4 20. 21. 22. 23. fo…
20. \(139^{\circ}\) 21. \(121^{\circ}\) 22. \(73^{\circ}\) 23. \(51^{\circ}\)
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what are the vertices of the ellipse ( 25x^{2}+3y^{2}-75 = 0 )? write y…
\((0,5)\) and \((0, - 5)\)
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triangle abc is shown with exterior \\( \\angle z \\). determine \\( m …
\(131^{\circ}\)
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what are the co - vertices of the ellipse ( x^{2}+4y^{2}-32y + 48 = 0 )…
\((2,4)\) and \((-2,4)\)
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what is the center of the ellipse $13x^{2}+4y^{2}-52 = 0$? write your a…
\((0,0)\)
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what are the foci of the ellipse ( 5x^{2}+9y^{2}-45 = 0 )? write your a…
\((- 2,0)\) and \((2,0)\)
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what are the co - vertices of the ellipse \\( \\frac{(x - 3)^{2}}{36}+\…
\((3,1+\sqrt{7})\) and \((3,1 - \sqrt{7})\)
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what are the foci of the ellipse $\\frac{(x + 4)^{2}}{64}+\\frac{(y - 7…
\((-4,7+\sqrt{30})\) and \((-4,7 - \sqrt{30})\)
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what are the lengths of the major and minor axes of the ellipse \\( \\f…
Length of major axis \(=20\) Length of minor axis \(=2\sqrt{87}\)
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what is the length of the major axis of the ellipse \\( \\frac{(x - 5)^…
\(8\)
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what are the foci of the ellipse \\( \\frac { ( x - 1 ) ^ { 2 } } { 64 …
\((1 + 2\sqrt{15},0)\) and \((1-2\sqrt{15},0)\)
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matteo is adjusting a satellite because he finds it is not focusing the…
\((1.5,0)\)
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what are the co - vertices of the ellipse $\\frac{x^{2}}{36}+\\frac{(y …
\((0,8)\) and \((0,4)\)
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what is the length of the minor axis of the ellipse \\( \\frac{(x + 6)^…
\(8\)
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what is the center of the ellipse $\\frac{x^{2}}{11}+\\frac{y^{2}}{65}=…
\((0,0)\)
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what is the length of the minor axis of the ellipse $\frac{x^{2}}{65}+\…
\(4\)
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what is the length of the major axis of the ellipse $\frac{x^{2}}{49}+\…
\(14\)
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what are the foci of the ellipse \\( \\frac { x ^ { 2 } } { 65 } + \\fr…
\((5,0)\) and \((- 5,0)\)
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what is the length of the major axis of the ellipse $\\frac{x^{2}}{19}+…
\(20\)
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which coordinate is the same as the x - coordinate of point ( a )? y - …
The \(x\)-coordinate of \(A'\) (\(2\)) is the same as the \(y\)-coordinate of \(A\) (\(2\)). The \(y\)-coordinate of \(A'\) (\(1\)) is the same as the opposite of the \(x\)-coordi…
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what are the co - vertices of the ellipse \\( \\frac { x ^ { 2 } } { 9 …
\((3,0)\) and \((- 3,0)\)
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the graph shows an ellipse. what are its vertices?
\((-2,-7)\) and \((6,-7)\)
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the graph shows an ellipse. what are the lengths of its major and minor…
Length of major axis = \(14\) Length of minor axis = \(10\)
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the graph shows an ellipse. what are its vertices?
\((0,9)\) and \((0, - 9)\)
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the graph shows an ellipse. what are its co - vertices?
\((-1,0)\) and \((1,0)\)
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the graph shows an ellipse. what is the length of its minor axis?
\(14\)
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the graph shows an ellipse. what are its co - vertices?
\((-4,-3)\) and \((4,-3)\)
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the graph shows an ellipse. what is the length of its minor axis?
\(4\)
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the graph shows an ellipse. what is the length of its major axis?
18
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the graph shows an ellipse. what are its vertices?
\((-8,0)\) and \((8,0)\)
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rectangle written as a product (length)(wid bel its length and width. t…
If we consider the rectangle with length \(l = 2x\) and width \(w=(x + 5)\), then the area written as a sum of parts is \(2x^{2}+10x\)
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which is the standard form of the equation of a parabola with a focus o…
\(y^{2}=32x\) (the third option)
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the graph shows an ellipse. what is its center?
\((0,0)\)
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△efg is the image of △efg under a dilation through point c what scale f…
B. \(-\frac{1}{2}\)
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△rst is the image of △rst under a dilation through point c. rs = 5 and …
\(1.6\)
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find the volume of the cone. 12 cm r = 8 cm v = ? cm³ round to the near…
\(804.2\)
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classify each scale factor as a contraction or an expansion. drag and d…
Contraction: \(\frac{3}{4},\frac{1}{5}\) Expansion: \(1.25,3, - 2\)
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find the volume of the cone. diameter: 10 m, height: 10 m round to the …
\(262\)