幾何
三角形、円、座標幾何、証明問題。
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the slope of the segment through (3, -2), and (0, 2) is -4/3. (type an …
\(-1\)
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show that a triangle with vertices at the points $(-1,-5),(0,2)$, and $…
\(-1\)
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show that a triangle with vertices at the points $(-1,-5),(0,2)$, and $…
\(\frac{21}{4}\)
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show that a triangle with vertices at the points $(-1,-5),(0,2)$, and $…
\(\frac{3}{4}\)
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determining an unknown angle measure $m\\angle 6$ is $(2x - 5)^{circ}$ …
\(115^{\circ}\)
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show that a triangle with vertices at the points $(-1,-5),(0,2)$, and $…
\(-\frac{4}{3}\)
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show that a triangle with vertices at the points $(-1, -5)$, $(0, 2)$, …
The slope of the segment through \((-1,-5)\) and \((0,2)\) is \(7\). Since the product of the slopes of the line segments joining \((0,2)\) to \((3,-2)\) and \((3,-2)\) to \((-1,-…
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ving same side interior angles supplementary given: ( w parallel x ) an…
1. Corresponding Angles Postulate 2. Linear - Pair Postulate 3. Substitution Property of Equality
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show that a triangle with vertices at the points $(-1,-5)$, $(0,2)$, an…
The triangle is a right - triangle because the product of the slopes of \(BC\) and \(AC\) is \(-1\), which means the two sides \(BC\) and \(AC\) are perpendicular.
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determining angle measures in the diagram, ( mangle3 = 120^{circ} ) and…
\(m\angle14 = 100^{\circ}\), \(m\angle5 = 60^{\circ}\), \(m\angle1 = 60^{\circ}\)
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determining angle measures in context a section of wall is being framed…
They are alternate interior angles. Angle A measures \(125^{\circ}\).
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the measure of angle 1 is $(3x + 10)^{circ}$ and the measure of angle 4…
\(85\)
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determining an unknown angle measure the measure of angle 1 is (3x + 10…
\(85^{\circ}\)
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proving alternate exterior angles congruent given: lines p and q are pa…
A: \(\angle2\cong\angle3\) B: \(\angle3\cong\angle7\)
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determining the value of x using lines cut by a transversal what is the…
\(x = 70\)
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determining the value of $x$ using lines cut by a transversal what is t…
\(25\)
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analyzing angle pair relationships m∠3 is (3x + 4)° and m∠5 is (2x + 11…
Angles 3 and 5 are supplementary. The equation \((3x + 4)+(2x + 11)=180\) can be used to solve for \(x\). \(m\angle5 = 77\)
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matching please match the element to the correct definition. a. quality…
1. Color - d. Also known as hue. 2. Value - e. Shading 3. Shape - c. Two - dimensional object like square or circle 4. Texture - a. Quality of the surface, rough, smooth, jagged 5…
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applying angle pair relationships what is ( mangle2 )? what is ( mangle…
\( m\angle2 = 75^{\circ} \) \( m\angle1 = 105^{\circ} \)
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the parking spaces in a city lot were created by painting rows of paral…
\(65^{\circ}\)
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proving alternate interior angles congruent given ( x parallel y ) ( w …
A: Vertical Angles Theorem; B: Corresponding Angles Postulate; C: Transitive Property of Congruence.
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the line segment shown is rotated 90° about the origin (counterclockwis…
A. \((2,1)\)
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is it possible to define a series of rigid transformations that takes f…
1. B. Yes, it can be defined with one rotation and one translation 2. A. Yes, the lines will remain parallel
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ab is a translation of cd. to the nearest tenth, what is the length of …
C. \(\overline{AB}\) is about \(11.3\) units; \(\overline{CD}\) is about \(11.3\) units. The length of a translated segment is the same as the original segment.
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explain one way to verify that the corresponding angles of the two tria…
C. Use the distance formula to prove that all corresponding sides of the triangles have the same lengths. Therefore, the two triangles are congruent by SSS. Then, corresponding an…
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identifying types of angle relationships lines ( m ) and ( n ) are cut …
$\angle5$ and $\angle7$ are vertical angles; $\angle4$ and $\angle6$ are same - side interior angles.
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consider the diagram. what is the length of segment ab? 18 9 25 7
\(9\)
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planes t and x are parallel. plane t contains line a. plane x contains …
They are skew and will never intersect.
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planes q and r are parallel. lines a and b are shown on planes q and r,…
They are parallel lines.
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consider the diagram lines a and d are perpendicular. parallel. skew. n…
skew
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consider the diagram. lines ac and rs are parallel. coplanar. perpendic…
skew.
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in the diagram shown, the distance between points a and c is the same a…
skew
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planes q and r are parallel planes. plane q contains line a. plane r co…
lines \(a\) and \(b\) must be parallel.
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janelle says that lines ( l ) and ( m ) are skew lines. is janelle corr…
No, because the lines are in the same plane.
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kevin says that lines p and m will eventually intersect. is kevin corre…
No, because they are parallel.
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consider the diagram which line segment has the same measure as \\( \\o…
\(\overline{SR}\)
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solving for an unknown segment length what is the measure of ( overline…
26 units
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solving for an unknown segment length what is the measure of \\( \\over…
13 units
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solving for an unknown segment length what is the length of segment lm?…
\(23\)
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**#3.) if ( m angle age = (125)^{circ} ) and ( m angle bgh = (125)^{cir…
$\angle6$ #### b)
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determining a segment length segment tq is 26 units long. what is the l…
\(32\) units
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2.06: swbat determine whether lines are parallel or not based on given …
1. \(\overleftrightarrow{AB}\) is parallel to \(\overleftrightarrow{CD}\) because \(\angle2\) and \(\angle6\) (corresponding angles) are congruent (\(m\angle2=m\angle6 = 37^{\circ…
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ining lines in three dimensions are the lines in the diagram perpendicu…
\(l\) and \(m\): skew; \(l\) and \(n\): skew; \(m\) and \(n\): perpendicular
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analyzing a statement marissa says that lines a and d will eventually i…
no, because they are skew
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determining segment lengths the length of tr is 17 units. what are the …
\(SV = 10\) units, \(QT = 5\) units
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determine whether u and v are orthogonal, parallel, or neither. u = \\l…
Since \(\mathbf{u} = 2\mathbf{v}\), \(\mathbf{u}\) and \(\mathbf{v}\) are parallel.
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use vectors to find the interior angles of the triangle given the follo…
The interior angles of the triangle are approximately \(A = 95.91^{\circ}\), \(B = 36.57^{\circ}\), \(C = 47.52^{\circ}\)
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a child in a go - cart with a gross weight of 155 pounds is parked on a…
\(37.4945\)
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find two vectors orthogonal to the given vector. u = \\langle 4,2\ angle
\(\langle1,-2 angle\) and \(\langle-1,2 angle\)
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find the indicated quantity, given ( mathbf{u}=(6,4), mathbf{v}=(-6,-1)…
\(\langle1200,200 angle\)
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find the indicated quantity, given (mathbf{u}=langle 6,4 angle,mathbf{v…
\(-200\)
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calculate the following dot product. \\( \\langle 3, - 4 \ angle \\cdot…
\(0\)
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find $mathbf{u} cdot mathbf{v}$ where $\theta$ is the angle between $ma…
\(56.5680\)
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find the magnitude of u using the dot product. write the result in radi…
The magnitude of \(\mathbf{u}\) is \(\sqrt{89}\approx9.43\)
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find the magnitude and direction angle (in degrees) of the following ve…
The magnitude of the vector \(\mathbf{v}\) is \(7\) and the direction angle is \(80^{\circ}\).
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given the vector ( u ) defined by the points: ( (-6,2),(5,-8) ) step 1 …
\(\langle11,-10 angle\)
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find the magnitude and direction angle (in degrees) of the following ve…
The magnitude of the vector is \(8\) and the direction angle is \(76^{\circ}\)
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given the following vectors, calculate $-2\\mathbf{u}+3\\mathbf{v}$. $\…
$\langle22,-34 angle$
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continue reading about rosalyn and peanut. use the close reading and th…
A. Losing Peanut makes Rosalyn realize how important the dog is to both her and Gram.
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ann is flying a cessna and is descending at a 6° angle towards a runway…
\(1657.4\) yards
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item 37 an isosceles triangle, \\( \\triangle a b c \\) with \\( a b \\…
C. \(16:1\)
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an isosceles triangle, \\( \\triangle a b c \\) with \\( \\overline{a b…
C. \(16:1\)
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how many triangles exist that fit the following criteria? c = 65^{circ}…
\(1\)
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solve for the remaining angles and side of the two triangles that can b…
**First triangle**: - \(B\approx81.11^{\circ}\), \(C\approx38.89^{\circ}\), \(c\approx5.07\) **Second triangle**: - \(B\approx98.89^{\circ}\), \(C\approx21.11^{\circ}\), \(c\appro…
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in the standard (x, y) coordinate plane, a certain dilation maps the po…
A. \((3, - 6)\)
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how many triangles exist that fit the following criteria? b = 130°, b =…
1
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item 23 in the figure shown, a squar circumscribed about a circle with …
A. 64
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find the area of the triangle described below. round to the nearest hun…
\(108.26\)
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item 21 given \\( \\triangle r s t \\) with \\( r s=18 \\mathrm{~cm}, s…
A. The measure of \(\angle R\) is the least.
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the equation of a certain circle in the standard $(x,y)$ coordinate pla…
A. 3
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similar triangles must have the same: a. angle measures. b. area. c. pe…
A. angle measures.
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consider the following hyperbola. $$ \frac { ( y - 5 ) ^ { 2 } } { 81 }…
The coordinates of the vertices are \((-7,14)\) and \((-7,-4)\).
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find the equation of the hyperbola with the following properties. expre…
\(\frac{(y + 6)^{2}}{1}-\frac{(x + 3)^{2}}{8}=1\)
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consider the following hyperbola. $$\frac{(x + 3)^{2}}{25}-\frac{(y + 5…
The coordinates of the foci are \((-3+\sqrt{89},-5)\) and \((-3-\sqrt{89},-5)\)
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consider the following hyperbola. \\( \\frac { ( x + 3 ) ^ { 2 } } { 25…
The vertices of the hyperbola are \((-8,-5)\) and \((2,-5)\)
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can you answer the questions below? circle the correct answers. 1) whic…
1. A. Psychologist 2. B. Levels 3. B. Shelter 4. A. True 5. C. To reach one's full potential
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find the equation of the hyperbola with the following properties. expre…
\(\frac{(x - 11)^{2}}{9}-\frac{(y - 1)^{2}}{7}=1\)
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consider the following hyperbola. $$ \frac { ( x + 8 ) ^ { 2 } } { 4 } …
The coordinates of the foci are \((-8+\sqrt{29},-4)\) and \((-8-\sqrt{29},-4)\)
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find the equation of the parabola with the following properties. expres…
\((x + 2)^{2}=24(y + 3)\)
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a spotlight is made by placing a strong light bulb inside a reflective …
\(1.75\) inches
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consider the following equation of a parabola. y ^ { 2 } - 2 y = - 8 x …
\((-1,1)\), \((-\frac{3}{2},3)\), \((-\frac{3}{2},-1)\)
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find the equation of the parabola with the following properties. expres…
\((y + 3)^{2}=-4(x + 2)\)
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¿una línea imaginaria divide al mundo en dos o en tres partes? divid e …
Divide al mundo en dos partes.
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show that each statement is false by providing a counterexample. (a) if…
(a) \(XY = 10\), \(YZ = 10\), \(XZ = 10\) (b) \(m\angle1=30^{\circ}\), \(m\angle2 = 60^{\circ}\) (c) \(m\angle P=90^{\circ}\), \(m\angle Q = 60^{\circ}\), \(m\angle R=30^{\circ}\)…
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complete the proof by choosing the correct eason\. given: ( m angle cbe…
1. Angle - addition postulate 2. Substitution property (using \(m\angle CBE=m\angle FBH\)) 3. Substitution property (using \(m\angle1 = m\angle3\)) 4. Angle - addition postulate 5…
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given: \\( \\triangle abc \\) prove: \\( m\\angle zab=m\\angle acb + m\…
\(m\angle ZAB=m\angle ACB + m\angle CBA\) is proved.
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show how each vertex of \\( \\triangle efg \\) maps to its image. descr…
| \(\triangle EFG\) | \(\triangle E'F'G'\) | | ---- | ---- | | \(E(-3,4)\) | \(E'(-3,-4)\) | | \(F(-2,3)\) | \(F'(-2,-3)\) | | \(G(-4,2)\) | \(G'(-4,-2)\) | To map \(\triangle EFG…
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there are several statements in the table below. for each, determine wh…
- "I am not drawing a rectangle": No - "It is not the case that I am drawing a circle": Yes - "I am not drawing a circle": Yes - "I am drawing a triangle": No
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7 from unit 1, lesson 22 this design began from the construction of a r…
Yes, quadrilateral \(JKLO\) is congruent to the other two quadrilaterals. Because in a regular hexagon - based construction, all corresponding sides and angles of the parallelogra…
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7 from unit 1, lesson 22 this design began from the construction of a r…
Yes, quadrilateral \(JKLO\) is congruent to the other two quadrilaterals. Because the design is based on a regular hexagon, which has rotational and reflectional symmetry. The sid…
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3 which conjecture is possible to prove? a all quadrilaterals with at l…
D. All squares with at least one side length of 3 units are congruent. ### Question 4
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lesson 5 practice problems 1 here is a diagram with two zigzags. write …
First, translate figure \(ABC\) so that \(B\) maps to \(E\) and \(A\) maps to \(D\). Then, rotate the translated figure around point \(E\) so that \(BC\) maps to \(EF\). 2.
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8 from unit 2, lesson 1 when rectangle abcd is reflected across line ef…
C. Corresponding parts of congruent figures are congruent. ### Question 9
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6 from unit 2, lesson 2 line ef is a line of symmetry for figure abecdf…
Clare's statement is incorrect because in a congruence statement for figures related by a line of symmetry (reflection), the order of vertices must match the reflection correspond…
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5 from unit 2, lesson 3 a rotation by angle ace using point c as the ce…
a. Because the rotation about \(C\) by angle \(ACE\) (the angle between \(CB\) and \(CD\) at \(C\)) moves \(CB\) to \(CD\) as rotation preserves the angle between segments at the …
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2 sketch the unique triangles that can be made with angle measures 40° …
There is \(1\) unique triangle. ### Question 3
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name:_________________________ period:________ date:________ first prov…
The triangles \(\triangle ABC\) and \(\triangle ZXY\) are similar by the AA (Angle - Angle) criterion (\(\angle A=\angle Z = 40^{\circ}\), \(\angle C=\angle Y=22^{\circ}\)). The v…
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first prove the triangles are similar and properly justify your answer.…
The value of \(x\) is \(10\).
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hw2.5 euclideancoordinates: problem 7 (1 point) consider the two points…
The distance is \(\sqrt{130}\), the \(x\) - coordinate of the mid - point is \(6.5\), and the \(y\) - coordinate of the mid - point is \(3.5\)
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hw2.5 euclideancoordinates: problem 6 (1 point) consider the two points…
The distance between them is \(\sqrt{277}\). The \(x\) - coordinate of the midpoint is \(3.5\). The \(y\) - coordinate of the midpoint is \(1\).