几何
三角形、圆、解析几何与证明题。
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las longitudes de los lados de un triángulo rectángulo son 8, 15 y 17 c…
\(\cos X=\frac{15}{17}\), \(\tan X=\frac{8}{15}\), \(\sin X=\frac{8}{17}\)
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question determine the relationship between the two triangles and wheth…
The two triangles are related by \(AAS\) (or \(ASA\)), so the triangles \(are\ congruent\).
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what is the measure of each interior angle of the regular polygon pictu…
\(128.6^{\circ}\)
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the isosceles triangle has a base that measures 14 units. the value of …
C. greater than 7.
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name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\(m\angle2 = 76^{\circ}\), \(m\angle4=76^{\circ}\)
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which formulas can be used to find the area of a circle? choose all tha…
\(A=\pi(\frac{d}{2})^{2}\), \(A = \pi r^{2}\)
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one of a trees rings has a diameter of 20 cm. what is the circumference…
\(62.8\)
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given: \\( \\overline { d e } \\cong \\overline { c e } \\), \\( \\over…
Since $\overline{AE}\cong\overline{BE}$, $\triangle AEB$ is an isosceles triangle.
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self practice as shown below, in right triangle abc, two robots deliver…
\(AC = 24\) m, \(BC = 23\) m
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sss sas aa none of the above; the triangles cannot be proven similar
SAS
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are these triangles similar? yes no write a similarity statement △ ≈ △
yes; \(\triangle KIJ\sim\triangle SRT\)
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are these triangles similar?
YES.
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given: \\( \\angle b \\cong \\angle d \\) and \\( \\overline{bc} \\para…
\(\overline{AB}\cong\overline{CD}\)
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question given: \\( \\angle b \\cong \\angle d \\) and \\( \\overline{b…
\(\overline{AB}\cong\overline{CD}\) is proved as above.
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question given: \\( \\angle b \\cong \\angle d \\) and \\( \\overline{b…
$\overline{AB}\cong\overline{CD}$ is proved as above.
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are these scalene triangles similar? yes no write a similarity statement
no
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are these scalene triangles similar?
Yes, the two triangles are similar.
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are these triangles similar? yes no
yes
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reorder the steps of the proof to make sure that steps that are logical…
1. $\triangle AFC\cong\triangle EFC$, $\overline{BC}\cong\overline{DC}$, $\angle GHF\cong\angle GIF$ (Given) 2. $\angle A\cong\angle E$ (CPCTC) 3. $\overline{AC}\cong\overline{EC}…
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question reorder the steps of the proof to make sure that steps that ar…
1. $\triangle AFC\cong\triangle EFC$, $\overline{BC}\cong\overline{DC}$, $\angle GHF\cong\angle GIF$ (Given) 2. $\overline{AC}\cong\overline{EC}$, $\angle A\cong\angle E$ (Corresp…
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are these triangles similar? yes no
yes
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solve for x. round to the nearest tenth, if necessary.
\(44.6\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx48.9\)
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question reorder the steps of the proof to make sure that steps that ar…
The correct order of steps is: 1 (Given $\overline{AE}\parallel\overline{FD}$, $\overline{EC}\cong\overline{BF}$, $\angle ABF\cong\angle ECD$), 6 ($\angle A\cong\angle D$), 2 ($\o…
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re of the missing angles. attempt 1 out of 2 $c = square^{circ}$
\(c = 54^{\circ}\)
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answer attempt 2 out of 2 $g=61^{circ}$ $h=61^{circ}$ $k=121^{circ}$ $m…
\( g = 61^{\circ}\), \( h = 61^{\circ}\), \( k = 121^{\circ}\), \( m = 59^{\circ}\)
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wer attempt 1 out of 2 $h =$ $m =$
\(h = 61^{\circ}\), \(m=59^{\circ}\)
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nd the measure of the missing angles.
\( g = 61^{\circ} \), \( m = 59^{\circ} \), \( k = 121^{\circ} \)
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answer attempt 1 out of 2 z =
\(z = 8\)
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question ∠1 and ∠2 are vertical angles. if ( m∠1=(2x + 15)^{circ} ) and…
\(x = 5\)
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5. if the measure of an angle is $37\\frac{1}{2}^{\\circ}$, what is the…
D. \(142\frac{1}{2}^{\circ}\)
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find the measure of the missing angles.
\(x = 66^{\circ}\), \(y = 114^{\circ}\)
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∠1 and ∠2 are vertical angles. if m∠1=(4x + 13)° and m∠2=(3x + 30)°, th…
\(81^{\circ}\)
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21. in rectangle abcd shown, segments \\( \\overline { b e } \\) and \\…
C. 17
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13. for an angle with measure α in a right triangle, sinα = 5/13 and ta…
A. \(\frac{12}{13}\) ### Question 14
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12. the whole numbers 1 through 30 were each written on separate pieces…
J. \(\frac{10}{30}\)
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11. an object is launched vertically at 30 meters per second from a 55 …
B. \(100.9\)
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course challenge everyone in most psychiatric circles agree that daily …
B. agrees
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which angles are vertical angles? ∠utv and ∠rqt ∠utv and ∠stq ∠utv and …
$\angle UTV$ and $\angle RQO$
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which angles are vertical angles? ∠utv and ∠rqt ∠utv and ∠stq ∠utv and …
$\angle UTV$ and $\angle RQO$
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which angles are alternate exterior angles? ∠ghk and ∠ihf ∠ihf and ∠ihk…
$\angle GHK$ and $\angle IHF$
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nobody knows why the trees of the crooked forest (located in west pomer…
A. NO CHANGE
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lizettes backyard is a rectangle measuring 130 ft by 180 ft. she plans …
\(23400\)
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find the perimeter of the rectangle. the perimeter of the rectangle is …
\(150\)
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3.) prove that triangles pqs and rsq are congruent. given: \\( \\overli…
\(\triangle PQS\cong\triangle RSQ\) by the SAS (Side - Angle - Side) congruence criterion.
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2.) prove triangles abc and def are similar. given: ab/de = bc/ef = ac/…
By the Side - Side - Side (SSS) similarity criterion, since \(\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}\), triangles \(ABC\) and \(DEF\) are similar.
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write an informal proof for each of the following problems. 1.) prove t…
Triangles \(ABC\) and \(EDC\) are congruent by the Hypotenuse - Leg (HL) congruence criterion for right - angled triangles.
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4. what property could you use to show that these two triangles are con…
ASA
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3. which property of similarity can be used to prove triangles str and …
SAS
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2. what property could you use to show that these two triangles are con…
SSS
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1. which property of similarity can be used to prove triangles def and …
SSS
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you try 4.7. a tire on a 2014 dodge durango suv has an outside diameter…
The tire turns approximately \(3490\) radians.
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a.) find x:
\(x = \frac{61}{7}\)
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3.) find the measure of the missing angle x:
\(50^{\circ}\)
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2.) find the measure of exterior angle x: 4.8_worksheet page 1 of 3
\(100^{\circ}\)
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note jo march and her husband run a boarding school called plumfield, w…
A. "I don't want any of the other fellows bothering round..." (paragraph 19)
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4. what is the measure of angle khj?
\(132^{\circ}\)
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3. find the value of x. 27 2 3 35
\(3\)
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a rider in a road bike race had an average linear speed of 40.253 km/hr…
\(19124\)
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2. if a triangle has two angles that measure 46 and 102 degrees, what i…
\(32^{\circ}\) (the third - option)
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1. what is the measure of angle x? 56° 62° 31° 59°
\(62^{\circ}\)
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given \\( \\triangle xyz \\), line \\( n \\) with equation \\( x=-3 \\)…
\((x,y)\to(x - 14,y)\)
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think about the process suppose \\( \\triangle p q r \\) is rotated \\(…
The coordinates of \(Q'\) are \((- 2,4)\)
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3. triangle abc and def are similar. answer the following questions: a.…
a. \(\angle A=\angle D\), \(\angle B = \angle E\), \(\angle C=\angle F\) b. \(7m\)
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2. if triangles cba and rqp are similar, what can you say about the rat…
The ratios of their corresponding sides are equal. The proportions are \(\frac{CB}{RQ}=\frac{BA}{QP}=\frac{CA}{RP}\)
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1. what must be true in order for triangles def and abc to be similar? …
Triangles \(DEF\) and \(ABC\) are similar if either: - All corresponding angles are equal (\(\angle A=\angle D\), \(\angle B=\angle E\), \(\angle C = \angle F\)) (by AA similarity…
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26. which set of integers is listed in order from least to greatest? 5,…
\(-5, - 3,-2,7\) (the second option)
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26. which set of integers is listed in order from least to greatest? 5,…
\(-5,-3,-2,7\) ### Question 27
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25. what is the perimeter of a rectangle that is 4 inches wide and 3 in…
14 inches
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word problem - word scramble directions: solve each word problem shown …
1a. 6; 1b. $\frac{1}{4}$; 2. $\frac{7}{8}$; 3. 122; 4. $16\frac{2}{3}$; 5. 240; 6. 45
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26. find the perimeter of this figure. all angles are right angles. dim…
\(160\) inches
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30. a right circular cylinder has a radius of 3 yards and a length of 1…
The surface area of the right - circular cylinder is \(244.92\) square yards.
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geometry (egg) das... it is important to keep trying. having someone re…
1. It is important to find your own voice. 2. Having someone recognize your talent builds confidence. 3. It is important to keep trying.
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16. read the following paragraph and decide which sentence does not sup…
E. My stuffed animals all
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so; i think that is why it has so many heads. they get through, and the…
herself, trapped in her life
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given the figure below, find the values of x and z. incorrect your answ…
\(x=\frac{68}{7}\), \(z = 85\)
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6 tyler has two different maps of ohio. on the first map, the scale is …
The distance from Cleveland to Cincinnati on the second map is \(8\) cm.
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for the given model of the form $y^{2}=4 p x$, (a) determine the value …
(a) \( p = 10 \) (b) Focus: \((10,0)\) (c) Directrix: \( x=-10 \)
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determine the standard form of an equation of the parabola subject to t…
\(y^{2}=8x\)
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find the measure of each numbered angle, and choose the statement that …
C. \(m\angle3 = 45^{\circ}\), \(m\angle1=m\angle4 = 62^{\circ}\) (Supplements Theorem) (assuming there is a mis - representation in the \(\angle3\) calculation part of the problem…
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the equation of a parabola is given. $x^{2}-6x - 4y+13 = 0$ (a) write t…
(a) The standard form of the parabola is \((x - 3)^{2}=4(y - 1)\) (b) The vertex is \((3,1)\), the focus is \((3,2)\) and the focal diameter is \(4\)
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find the measure of each numbered angle and name the theorems that you …
C. \(m\angle5 = m\angle6 = 45^{\circ}\) (\(\cong\) Complements Theorem)
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for the equation of the parabola given in the form $(y - k)^2 = 4p(x - …
(a) Vertex: \((-2,-4)\), \(p=-4\), Focus: \((-6,-4)\), Focal diameter: \(16\) (b) Endpoints of latus rectum: \((-6,4)\) and \((-6,-12)\) (c) Graph as described above (d) Directrix…
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find ( mangle jkl ) and ( mangle lkm ) if ( mangle jkm = 140^{circ} ). …
\(m\angle JKL = 100^{\circ}\) \(m\angle LKM=40^{\circ}\)
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for the given model of the form $x^{2}=4py$, (a) determine the value of…
(a) \(p = 3\) (b) Focus: \((0,3)\) (c) Directrix: \(y=-3\)
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proof: statements reasons 1. \\( \\angle 1 \\cong \\angle 2 ; m \\perp …
1. Given 2. $\angle1$ and $\angle2$ form a linear pair 3. $\angle1$ and $\angle2$ are rt. ∠s 4. $\perp$ lines form 4 rt. ∠s 5. $\angle2\cong\angle3$
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for ( 10 x ^ { 2 } - y ^ { 2 } + 2 y - 11 = 0 ). (a) write the equation…
(a) The standard form of the hyperbola is \(\frac{x^{2}}{1}-\frac{(y - 1)^{2}}{10}=1\) (b) Center: \((0,1)\), Vertices: \((1,1)\) and \((- 1,1)\), Foci: \((\sqrt{11},1)\) and \((-…
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proof: statements 1. ∠1 and ∠2 form a linear pair ∠3 and ∠4 form a line…
1. Def. of linear pair 2. ∠1 and ∠2 are supp.; ∠3 and ∠4 are supp. 3. (Assume given in a broader context, but with the flow of using congruent supplements, if we consider the stru…
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for \\( \\frac{x^{2}}{36}-\\frac{y^{2}}{49}=1 \\), (a) identify the cen…
(a) Center: \((0,0)\) (b) Vertices: \((6,0)\) and \((-6,0)\) (c) Foci: \((\sqrt{85},0)\) and \((-\sqrt{85},0)\) (d) Asymptotes: \(y=\frac{7}{6}x\) and \(y =-\frac{7}{6}x\) (e) Gra…
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the graph of the ellipse is given. (a) use the distance formula to find…
(b) \(d_1 + d_2 = 10\). (c) \(d_3 + d_4=10\). (d) The sums from (b) and (c) are equal. (e) The sum of the distances from any point on an ellipse to the two foci is equal to the le…
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an equation of an ellipse is given. (a) identify the center of the elli…
(a) The center of the ellipse is \((1,-5)\) (b) The vertices are \((6,-5)\) and \((-4,-5)\) (c) The endpoints of the minor axis are \((1,-1)\) and \((1,-9)\) (d) The foci are \((4…
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4. in \\( \\triangle a b c, \\angle a \\) and \\( \\angle c \\) are con…
F. \(18.2^{\circ}\)
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find the coordinates of the rectangle and use them to compute the area.…
\(15\space units^{2}\)
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an equation of an ellipse is given. (a) identify the center of the elli…
(a) Center: \((0,0)\) (b) \(a = 9\) (c) \(b = 4\) (d) Vertices: \((0,9)\) and \((0,-9)\) (e) Endpoints of minor axis: \((4,0)\) and \((-4,0)\) (f) Foci: \((0,\sqrt{65})\) and \((0…
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write the standard form of an equation of an ellipse subject to the giv…
The standard form of the ellipse equation is \(\frac{x^{2}}{16}+\frac{y^{2}}{7}=1\)
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an equation of an ellipse is given. (a) write the equation of the ellip…
(a) The standard form of the ellipse is \(\frac{(x - 1)^{2}}{25}+\frac{y^{2}}{1}=1\). (b) Center: \((1,0)\); Vertices: \((6,0)\) and \((-4,0)\); Endpoints of minor axis: \((1,1)\)…
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an equation of an ellipse is given. (a) identify the center of the elli…
(a) Center: \((0,0)\) (b) \(a = 8\) (c) \(b = 6\) (d) Vertices: \((8,0)\) and \((- 8,0)\) (e) Endpoints of the minor axis: \((0,6)\) and \((0,-6)\) (f) Foci: \((2\sqrt{7},0)\) and…
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angle relationship review supplementary angles, complementary angles, v…
1. \(x = 20\) (Supplementary) 2. \(x = 14\) (Complementary) 3. \(x = 2\) (Vertical) 4. \(x = 8\) (Vertical) 5. \(x=-16\) (Vertical) 6. \(x = 6\) (Supplementary) 7. \(x = 7\) (Comp…
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find ( mangle tqw ). ( mangle tqw=)
\(46\)
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define fraud. list and briefly discuss the three major components of th…
Fraud is an intentional deception, made for the purpose of personal gain or to cause loss. The three components of the fraud triangle are pressure (motivation), opportunity (weak …