幾何
三角形、円、座標幾何、証明問題。
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 (…
\(x = 21\)
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where $m_1$ and $m_2$ are the slopes of $l_1$ and $l_2$, respectively. …
The angle between the diagonal of a cube and the diagonal of its base is approximately \(35.3^{\circ}\)
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(a) find the area of the following (in square units). the dark rectangl…
- The dark rectangle: \(21\) - The light rectangle: \(7x\) - As a sum of two areas: \(21 + 7x\) - As a product of the length and width: \(7(3 + x)\) (or \(21+7x\))
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find the value of ( m ) when ( 5m = 45 ). ( 5m = 45 ) ( m = 9 ) describ…
We use the closed - circle (the fourth icon in the given set of icons) at \(9\) and draw an arrow to the right on the number - line.
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sentence builders f. read the riddles. underline the adjectives. circle…
1. Le vent 2. Le rire 3. Le serpent
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if x is less than 5, 2x will be less than 10. graph an inequality to re…
The inequality is \(x<5\). On the number line, there should be an open - circle at \(5\) and an arrow pointing to the left.
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decide whether the triangles are similar. if they are, write a similari…
1. Not similar or not necessarily similar 2. Similar: \(\triangle JKL\sim\triangle GIH\) by the AA (Angle - Angle) similarity criterion 3. Not similar or not necessarily similar
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aubrey has $20 to spend on party supplies. she buys balloons for $16. t…
We place a closed - circle at 4 on the number line and shade all the values to the left of 4.
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six equilateral triangles are connected to create a regular hexagon. th…
\(6(4a^{2}-3)\)
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5 multiple choice 1 point what is the equation to calculate the volume …
C. \(V = l\times w\times h\)
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1 multiple choice 1 point what is the equation to calculate the volume …
\(V = l\times w\times h\) (the third option).
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altitude of 10,000 feet? 35. navigation an airplane flying at 600 miles…
The plane has traveled approximately \(554.13\) miles north and \(709.2\) miles east.
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more than 30°. find an interval for how far the rider travels horizonta…
(a) The length \(l = 250\) feet, \(A\approx36.87^{\circ}\), \(B\approx53.13^{\circ}\) (b) The minimum time \(t\approx4.87\) seconds.
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19. length the sun is 25° above the horizon. find the length of a shado…
The length of the shadow is approximately \(214.45\) feet.
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use the diagram below to fill in the relationship between the lines: wh…
For perpendicular lines: \(NP\perp PQ\) (or \(NP\perp PR\)). For parallel lines: \(ML\parallel KS\).
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let g be the speed of a go - kart, in miles per hour. write an inequali…
We place a closed - circle at \(20\) on the number - line and draw an arrow to the left from \(20\).
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a circle having a diameter of 8 cm is inscribed in a sector of a circle…
The area of the sector is approximately \(73\mathrm{cm}^{2}\)
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let h be a riders height, in inches. choose the inequality that represe…
On the number - line, place a closed circle at \(54\) and draw an arrow to the right.
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is it possible that ariana works exactly 12 hours? no graph the inequal…
On the given number - line, place an open circle at 12 and draw an arrow to the left (using the appropriate icon from the provided set, likely the one with an open circle and an a…
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let ( x ) be the temperature. write an inequality to represent the situ…
On the number line, place an open circle at \(-10\) and draw an arrow to the right of \(-10\).
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you can construct an excenter of a circle, in a similar way to construc…
- First conjecture: The intersection of the angle bisectors is the ex - center of \(\triangle ABC\). - Second conjecture: The excircle is tangent to side \(AC\) and the extensions…
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you can construct an excenter of a circle, in a similar way to construc…
1. The intersection of the angle bisectors is the ex - center of \(\triangle ABC\). 2. The excircle is tangent to one side of \(\triangle ABC\) (\(AC\)) and tangent to the extensi…
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\\( \\overline { w x } \\cong \\overline { t u } \\), \\( \\angle s x t…
\( \triangle U V W\cong\triangle T S X\) by AAS
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9. sully (sal e) (v.) to soil, stain, tarnish, defile, besmirch the nix…
1. Makes sense. 2. Does not make sense. 3. Makes sense. 4. Makes sense. 5. Does not make sense. 6. Makes sense. 7. Makes sense. 8. Makes sense. 9. Does not make sense. 10. Makes s…
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1. circle the factors of 15. 10, 3, 7, 5,
Circle 3 and 5.
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△fij≅△ghj. complete the proof that △fgi≅△gfh. 1 △fij≅△ghj 2 (overline{f…
1. Given; 2. CPCTC; 3. CPCTC; 4. CPCTC; 5. CPCTC; 6. Segment Addition Postulate; 7. Segment Addition Postulate; 8. Substitution; 9. Substitution; 10. SAS
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tv ≅ tu. complete the proof that △tuv ≅ △tvu. 1 tv ≅ tu given 2 tv ≅ tv…
| Statement | Reason | |--|--| | 1. \(\overline{TV}\cong\overline{TU}\) | Given | | 2. \(\overline{TV}\cong\overline{TV}\) | Reflexive Property of Congruence | | 3. \(\triangle TU…
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tv ≅ tu. complete the proof that △tuv ≅ △tvu. 1 tv ≅ tu given 2 3
| Statement | Reason | |--|--| | 1. \(\overline{TV}\cong\overline{TU}\) | Given | | 2. \(\overline{TV}\cong\overline{TV}\) | Reflexive property of congruence | | 3. \(\triangle TU…
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calculate the size of angle edc.
\( 71^{\circ} \)
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wx ≅ yz, ∠txz ≅ ∠vyw, and ∠t ≅ ∠v. complete the proof that △vwy ≅ △tzx.…
| Statement | Reason | |--|--| | \(8\quad\triangle VWY\cong\triangle TZX\) | AAS (Angle - Angle - Side) Congruence Criterion |
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a straight line measure 180 degrees. true false
TRUE
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which two triangles are congruent by the sss theorem? complete the cong…
\(\triangle DEF\cong\triangle JKI\)
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which two triangles are congruent by the sas theorem? complete the cong…
$\triangle CED\cong\triangle KIJ$
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which two triangles are congruent by the sss theorem? complete the cong…
\(\triangle TUV\cong\triangle FDE\)
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complete the proof that $\\triangle fgi\\cong\\triangle ehi$.
1. Given 2. Given 3. Vertical angles are congruent 4. SAS (Side - Angle - Side)
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△stv is equilateral. complete the proof that △svw ≅ △tvu. 1 △stv is equ…
1. Reason: Given 2. Reason: Given 3. Reason: Given 4. Reason: Definition of equilateral triangle 5. Reason: SAS (Side - Angle - Side)
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complete the proof that \\( \\triangle ghi \\cong \\triangle gji \\).
3. Reason: Reflexive property of congruence 4. Reason: SSS (Side - Side - Side) congruence criterion
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hi || jk. complete the proof that △hij ≅ △jkh. statement 1 jk ≅ hi 2 hi…
SAS
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fg ≅ eh and gh ≅ ef. complete the proof that △efg ≅ △ghe. 1 fg ≅ eh giv…
SSS
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fg ≅ eh and gh ≅ ef. complete the proof that △efg ≅ △ghe. statement 1 f…
SSS (Side - Side - Side)
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vy bisects ∠wvx. complete the proof that △vxy ≅ △vwy. 1 vy bisects ∠wvx…
SAS
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part 2 of 2 the images on henrys digital camera have a width - to - len…
a. Yes, it is possible. We can scale (enlarge or reduce) the image and then crop it to get the desired \(8\) - by - \(10\) print. b. B. He can enlarge it to \(8\) in. by \(12\) in…
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what are the coordinates of the center of dilation shown? the center of…
\((12,16)\)
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what are the coordinates of the center of dilation for the dilation sho…
\((8,12)\)
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put your answer in the box. \\( \\angle b a d = \\) \\( \\angle e a d =…
\(\angle BAD = 65^{\circ}\), \(\angle EAD = 115^{\circ}\), \(\angle BAC=115^{\circ}\)
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mentally evaluate all of the missing angle measures in each figure 1 ty…
\(\angle DAE = 130^{\circ}\), \(\angle EAB=50^{\circ}\)
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mentally evaluate all of the missing angle measures in each figure. 1. …
\(130^{\circ}\)
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the formula for finding the volume of a square pyramid is shown below, …
C. centimeters
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reflect point b across the x-axis. what is the distance from each point…
For point \(B\), the distance is \(2\) units. For point \(B'\), the distance is \(2\) units.
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which figure shows a reflection of figure t across the x - axis? figure…
Figure \(V\)
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without actually solving the problem, choose the correct solution by de…
A. length = 6 feet, width = 4 feet
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which figure is a reflection of figure a? figure c which axis is the li…
- Which figure is a reflection of figure \(A\)? Figure \(C\) - Which axis is the line of reflection? \(x -\)axis
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which translation maps △abc onto its image? 3 units down 3 units up 3 u…
3 units to the right.
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which translation maps \\( \\triangle j k l \\) onto its image? 4 units…
4 units down
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how do the coordinates of the vertices of △def compare to the coordinat…
5 less
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is translated 5 units down to form its image. complete the table to sho…
| \(\triangle DEF\) | \(\triangle D'E'F'\) | | ---- | ---- | | \(D(-3,3)\) | \(D'(-3,-2)\) | | \(E(-1,4)\) | \(E'(-1,-1)\) | | \(F(2,1)\) | \(F'(2,-4)\) |
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how will the coordinates of the vertices of △abc compare to the coordin…
In \(\triangle A'B'C'\), each \(y\) - coordinate will be the opposite of the \(y\) - coordinate of the corresponding vertex in \(\triangle ABC\) (while \(x\) - coordinates remain …
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4) look at the coordinates of the triangles, what do you notice? 4) eac…
Each \(x\) - coordinate of \(\triangle A'B'C'\) is \(3\) more than the corresponding \(x\) - coordinate of \(\triangle ABC\), and each \(y\) - coordinate of \(\triangle A'B'C'\) i…
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△abc △abca(-2,3) a(1,3)b(0,4) b(3,4)c(1,1) c(4,1)ook at the coordinates…
Each \(x -\)coordinate of \(\triangle A'B'C'\) is \(3\) more than the corresponding \(x -\)coordinate of \(\triangle ABC\), and the \(y -\)coordinates are the same.
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complete the table to show the coordinates of the vertices of △abc. △ab…
\(B'(3,4)\), \(C'(4,1)\)
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complete the table to show the coordinates of the vertices of △abc. △ab…
\(B'(3,4)\)
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progress: question id: 105550 the movement of the progress bar may be u…
200 square feet
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unit: whole numbers progress: question id: 97120 the movement of the pr…
74
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find the area of a sector of a circle with radius 6 centimeters and cen…
\(24\pi\) (or \(75.36\)) square centimeters
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the quadrilaterals ( jklm ) and ( pqrs ) are similar. find the length (…
\(x = 5.4\)
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the pentagons abcde and pqrst are similar. find the length x of \\( \\o…
\(x = 1.8\)
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in the figure below, ( mangle1=(x - 23)^circ ) and ( mangle2 = 6x^circ …
\(m\angle1 = 6^{\circ}\), \(m\angle2=174^{\circ}\)
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in the figure below, ( mangle1=(x + 33)^{circ} ) and ( mangle2 = 2x^{ci…
\(m\angle1 = 52^{\circ}\), \(m\angle2 = 38^{\circ}\)
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find the area of the figure. (sides meet at right angles.)
\(41\)
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select the correct answer from each drop - down menu. in the diagram, \…
\((6,6)\)
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what is m∠1? m∠1 =
\(98\)
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give the location of boston as an ordered pair $(x,y)$.
\((8,8)\)
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look at this diagram: if \\( \\overleftrightarrow { qs } \\) and \\( \\…
\(42\)
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assume that each circle shown below represents one unit. express the sh…
One Fraction: $\frac{18}{5}$; Mixed Number: $3\frac{3}{5}$
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the statue of liberty is about 300 feet tall and about 30 feet wide. th…
\(30\)
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look at this angle: name this angle:
\(\angle E\)
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graph the line $y = - 8$.
A horizontal line passing through the \(y\)-axis at \((0, - 8)\) with all points having a \(y\)-coordinate of \(-8\) (e.g., \((-2,-8)\), \((0,-8)\), \((2,-8)\) etc.) is the graph …
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find the ratio of circles to triangles in the diagram below. unsimplifi…
\(4:12\)
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6 (8 points) two cyclists, maya and jorge, ride around a circular track…
Maya has traveled \(6\) radians and Jorge has traveled \(4\) radians.
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identifying the properties of trapezoids which statements are correct r…
The diagonals of an isosceles trapezoid are congruent; The bases of a trapezoid are parallel.
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sorting properties of trapezoids and kites sort the property that chara…
- Trapezoid: can have congruent diagonals, has one pair of opposite, parallel sides - Kite: has perpendicular diagonals, has congruent adjacent sides
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solving problems with kites kara is building a sandbox shaped like a ki…
\(36\)
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analyze the diagram. which quadrilateral is a kite?
The first quadrilateral (the one with vertices \(A\), \(B\), \(C\), \(D\)) is a kite.
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solve for x and graph the solution on the number line below. -3 ≥ -4 + …
Inequality Notation: \(x\leq1\) To graph \(x\leq1\) on the number line: - Place a closed circle at \(x = 1\) (because the inequality includes equality, i.e., \(x\) can be equal to…
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solving problems with trapezoids city planners want to design a park be…
\(60\)
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solving problems with trapezoids city planners want to design a park be…
\(120^{\circ}\)
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identifying trapezoids analyze the diagrams. which quadrilateral is a t…
The first quadrilateral (\(ABCD\)) is a trapezoid.
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determine the intercepts of the line. y - intercept: (□,□) x - intercep…
y - intercept: (0, - 0.6) x - intercept: (-1.4, 0)
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x is an acute angle. find the value of x in degrees. \\( \\tan ( x ) = …
\(45\)
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x is an acute angle. find the value of x in de \\( \\sin ( x ) = \\frac…
\(60\)
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x is an acute angle. find the value of x in deg cos(x)=\\frac{\\sqrt{2}…
\(45\)
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x is an acute angle. find the value of x in degrees. cos(x)=\\frac{\\sq…
\(30\)
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x is an acute angle. find the value of x in degrees \\( \\sin ( x ) = \…
\(45\)
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x is an acute angle. find the value of x in degrees. \\( \\sin ( x ) = …
$30$
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if necessary, you may learn what the markings on a figure indicate. (a)…
(a) Congruent: \(\triangle GHI\cong\triangle JHI\) by the AAS (Angle - Angle - Side) criterion. (b) Congruent: \(\triangle ABC\cong\triangle DEF\) by the SSS (Side - Side - Side) …
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(a) complete the congruence statements below. \\( \\angle g \\cong \\) …
(a) $\angle G\cong\angle J$, $\angle F\cong\angle K$, $\angle E\cong\angle L$ (b) $\overline{GF}\cong\overline{JK}$, $\overline{FE}\cong\overline{KL}$, $\overline{EG}\cong\overlin…
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for each triangle, check all that apply. triangle a triangle b triangle…
- Triangle A: Isosceles, Equilateral - Triangle B: Isosceles, Equilateral - Triangle C: Scalene - Triangle D: Isosceles
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for questions 5 and 6, find the value of x. 5. 6.
Question 5: \(x = \frac{108}{7}\) Question 6: \(x=-9\)
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bentley wendts p... d.4 transversals of parallel lines: find angle meas…
\(117\)
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allelogram proofs quick check formal proofs if you were to prove that q…
\(EB = ED\) (because in a parallelogram, diagonals bisect each other)