Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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i is the midpoint of \\( \\overline { f h } \\) and \\( \\overline { e …
$\triangle FGI\cong\triangle HEI$ (by SAS congruence)
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6 fill in the blank 1 point find the measure of each missing angle. 144…
\(m\angle1 = 36^{\circ}\), \(m\angle2=20^{\circ}\), \(m\angle3 = 124^{\circ}\), \(m\angle4 = 56^{\circ}\), \(m\angle5=36^{\circ}\)
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olivia has a shoe box in the shape of a rectangular prism. she decorate…
\(190\) square inches
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determine the type of triangle that is drawn below. answer scalene acut…
# Explanation: ## Step1: Check side lengths All side lengths \(4.9\), \(6.18\), \(7.05\) are different. So it's a scalene triangle. ## Step2: Check angle type Use Pythagorean theo…
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solve the following equation. \\frac{x}{5}-4=-8 \\( \\bigcirc x=-60 \\)…
$x=-20$
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find the measure of each missing angle. m∠1= m∠2= m∠3= m∠4= m∠5=
\(m\angle1 = 36^{\circ}\), \(m\angle2=20^{\circ}\), \(m\angle3 = 124^{\circ}\), \(m\angle4=56^{\circ}\), \(m\angle5 = 36^{\circ}\)
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given: ∠5 and ∠16 are supplementary, ∠2 ≅ ∠18 prove: q || r
By using the properties of supplementary angles, vertical angles, and the converse of the corresponding - angles postulate, we have proved that \(q\parallel r\).
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solve for x and graph the solution on the number line below. 33 ≥ 4x - …
Inequality Notation: \(3\leq x\leq9\) To graph on the number line: Place a closed - circle at \(x = 3\) (since \(x\) can be equal to 3) and a closed - circle at \(x = 9\) (since \…
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question determine the type of triangle that is drawn below. answer iso…
Isosceles Acute
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emergency response planning you are helping your city plan emergency ro…
The hospital is closer to the new school. The distance from the hospital to the school is approximately \(316\) meters and from the police station to the school is approximately \…
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given: ∠5 and ∠16 are supplementary, ∠2 ≅ ∠18 prove: q || r
The proof is completed as above to show \( q\parallel r\).
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gj bisects ∠hgi and (overline{gi}congoverline{gh}). complete the proof …
\(\triangle GIJ\cong\triangle GHJ\) (by the SAS congruence criterion)
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determine the type of triangle that is drawn below. isosceles obtuse eq…
Scalene Obtuse (Note: There is a mistake in the initial side - angle analysis. If we use the side - side - side and angle - angle - side rules correctly: Since two sides ($6.9$ an…
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10 find ( mangle wyz ). ( x=) ( mangle wyz=)
\(x = 4\), \(m\angle WYZ=19^{\circ}\)
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question determine the type of triangle that is drawn below. answer iso…
Isosceles Right
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r is the midpoint of \\( \\overline{qs} \\), \\( \\overline{ru} \\cong …
\(\triangle RSU\cong\triangle QRT\) (by SSS congruence criterion)
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find ( mangle acb ).
\(x = 3\) \(m\angle ACB=62^{\circ}\)
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determine the type of triangle that is drawn below.
Equilateral
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which ordered pair represents the coordinates of point h? (-1.4,0.6) (0…
\((0.3,-1.2)\)
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find the value of x
\(8\)
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determine the type of triangle that is drawn below.
Equilateral (Note: If the options provided in the user's image have an "Equilateral" option, that is the correct answer. If there is a mistake in the problem setup and the side - …
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1 z is the midpoint of \\( \\overline{wy} \\) given 2 z is the midpoint…
\(\triangle YVZ\cong\triangle XWZ\) (by SAS)
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list the sides of the triangle in order from shortest to longest. choos…
E. \(\overline{NO},\overline{NM},\overline{OM}\)
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find the value of x. (5x - 24)° (8x + 9)°
\(x = - 11\)
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list the angles of the triangle in order from smallest to largest. δdef…
A. \(\angle D,\angle E,\angle F\)
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question 1 find the direct distance from the fire station to the hospit…
The direct distance from the Fire Station to the Hospital is approximately \(538.52\) meters.
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determine the type of triangle that is drawn below.
Isosceles Right
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uv ≅ st and tu ≅ sv. complete the proof that △stu ≅ △uvs. statement 1 u…
\(\triangle STU\cong\triangle UVS\) (by SSS Congruence Criterion)
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determine the type of triangle that is drawn below. answer isosceles ob…
Scalene Acute
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12. if line y bisects (overline{ac}), (ab = 4 - 5x), and (bc = 2x + 25)…
\( 38 \)
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questions determine the type of triangle that is drawn below. answer eq…
Equilateral
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6 fill in the blank 1 point find the measure of each missing angle. 144…
\(m\angle1 = 36^{\circ}\) \(m\angle2=20^{\circ}\) \(m\angle3 = 124^{\circ}\) \(m\angle4 = 56^{\circ}\) \(m\angle5=36^{\circ}\)
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list the angles of the triangle in order from smallest to largest. △abc…
D. $\angle B$, $\angle C$, $\angle A$
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determine the type of triangle that is drawn below. scalene right isosc…
Isosceles Acute
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11. if s is the midpoint of (overline{rt}), (rs = 5x + 17), and (st = 8…
\(97\)
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5 fill in the blank 1 point find the perimeter of \\( \\triangle m n p …
\(x = 14\) Perimeter of \(\triangle MNP=130\)
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determine the type of triangle that is drawn below.
Scalene Obtuse
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list the angles of the triangle in order from smallest to largest. △abc…
D. \(\angle B, \angle C, \angle A\)
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h is the midpoint of (overline{fg}). complete the proof that (\triangle…
1. Given 2. Given 3. Definition of perpendicular lines (all right angles are congruent) 4. Definition of midpoint 5. Reflexive property of congruence 6. SAS (Side - Angle - Side) …
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4 fill in the blank 1 point find gh. navigate to question at position 4…
\(x = 11.8\), \(GH=23.6\)
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four figures are shown. which statement about the figures is true? each…
Each figure has four vertices.
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identify triangles of a given type question determine the type of trian…
Scalene Obtuse
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given that information, which figures are reflections of abcd? choose t…
\(KLMN\), \(WZYX\)
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3 numeric 1 point solve for x. answer
\(6\)
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given that information, which figures are reflections of abcd? choose t…
KLMN, WXYZ
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if c, p, and t are the midpoints of the sides of \\( \\triangle aen, pt…
1. \(AE = 26\) 2. \(AN = 58\) 3. \(CT = 21.5\) 4. Perimeter of \(\triangle AEN=127\)
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gabriel draws a shape with 8 vertices and exactly 2 square faces. which…
The second shape (the rectangular prism).
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1. complete the equation and find the area of the rectangle. a = l × w …
1. \(A = 60\times3\); The area is \(180\) sq m. 2. Equation: \(280 = 7\times n\); \(n = 40\); The unknown side length is \(40\) cm.
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list the angles of the triangle in order from smallest to largest. note…
E. $\angle K$, $\angle L$, $\angle M$
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1 fill in the blank 1 point identify all pairs of parallel segments. 1)…
1. \(BD\parallel AE\) 2. \(BF\parallel CE\) 3. \(FD\parallel AC\)
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find x. 37° 31° 29° x =
\(x = 97\)
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find x. 60° 104° x° x =
\(44\)
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list the angles of the triangle in order from smallest to largest. choo…
F. \(\angle M,\angle L,\angle K\)
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find x. 60° 104° $x^{circ}$ $x=$
\(x = 136\)
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8. casey finds the unknown length of a rectangle. explain his strategy.…
Casey uses the area formula \(A = l\times w\), substitutes known values, and solves the resulting equation for the unknown length. ### 9. Length of the rectangular garden
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what is the distance between points a(-3,2) and b(5,-4)?
10 units
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in the diagram below, \\( \\overline { a d } \\) bisects \\( m \\angle …
\(74^{\circ}\)
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in the diagram below, \\( \\overline { a d } \\) bisects \\( \\angle c …
\(m\angle CAB = 74^{\circ}\)
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triangles separating overlapping triangles and identifying common featu…
(a) Left - hand triangle ( \( \triangle PQR \)): vertices \( P \), \( Q \), \( R \); Right - hand triangle (\( \triangle TSR \)): vertices \( T \), \( S \), \( R \) (b) The triang…
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due on 11.04.2025 10 total points 2 total attempts answer the question …
6 blocks shorter
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given $m\\parallel n$, find the value of $x$.
\(18\)
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polygon abcde is dilated by a scale factor of 3, with the center of dil…
\(2.5\)
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what is ( mangle ikj )? ( mangle ikj=square^{circ} )
\(89\)
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8 given: r || s, s || t prove: ∠6 ≅ ∠7
\(\angle6\cong\angle7\) is proved as above.
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a 15 - foot ladder leans against a wall. the base of the ladder is 9 fe…
12 feet
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what is the value of x?
\(17\)
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choose the line segments.
The first and fourth (the vertical one) figures (the ones with two endpoints) are line segments.
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what is the value of x?
\(56\)
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 x
\(18\)
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given ( m||n ), find the value of x. answer attempt 1 out of 2 ( x = )
\(x = 26\)
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what is $mangle qps$? $mangle qps=square^{circ}$
\(134\)
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answer the question correctly to continue: which triangle has sides tha…
\(3,4,5\)
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given ( mparallel n ), find the value of ( x ).
\(42\)
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given ( mparallel n ), find the value of ( x ).
\(10\)
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given ( mparallel n ), find the value of ( x ).
\(71\)
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due on 11.04.2025 10 total points 2 total attempts answer the question …
$a^{2}+b^{2}=c^{2}$
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in the pre - image of the parallelogram, the slope of ad is - 3 and the…
The slope of \(B''C''\) is \(3\). The slope of \(A''D''\) is \(3\).
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 (…
\(145\)
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given ( mparallel n ), find the value of x. answer attempt 2 out of 2 (…
\(x = 121\)
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part a values for the area a of the rectangle shown are ( 12 leq a leq …
Part A: \(12\leq6x\leq60\) Part B: \(2\leq x\leq10\)
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given ( mparallel n ), find the value of ( x ).
\(64\)
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question 5 what is the distance between the two bolts? 2 units 7 units …
\(\sqrt{65}\)
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an equilateral triangle is shown below. line c passes through a vertex …
Reflection across line \(c\), Reflection across line \(d\)
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max is designing a sign and wants to calculate the distance between two…
4 units
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elena wants to create a second triangular garden that is similar to the…
12
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elena is building a garden in the shape of a right triangle. the legs a…
1. The formula \(a^{2}+b^{2}=c^{2}\) should be used. 2. The length of the diagonal is \(10\) ft.
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a ladder reaches a height of 15 feet on a wall. the base is 9 feet from…
- For the ladder problem: \(\sqrt{306}\) - For the phone - pole shadow problem: \(\sqrt{613}\) - For the distance between \((3,5)\) and \((10,9)\): \(\sqrt{65}\) - For the distanc…
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5 the radius of a basketball is 4.7 inches. what is the volume of the b…
5. \(430.7\) cubic inches 6. \(33.5\) cubic inches 7. \(107.2\) seconds
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match each triangle description to its correct missing side length. use…
A triangle has legs of 9 units and 12 units: \(15\); A triangle has a hypotenuse of 29 units and one leg of 20 units: \(21\); A triangle has legs of 7 units and 11 units: \(\sqrt{…
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what is dangerous about living for 7 days on just one can of sardines? …
1. \(28.26\) \(cm^{2}\) 2. \(50.24\) \(in^{2}\) 3. \(314\) \(m^{2}\) 4. \(12.56\) \(cm^{2}\) 5. \(254.34\) \(ft^{2}\) 6. \(4.5216\) \(km^{2}\) 7. \(7850\) \(in^{2}\) 8. \(379.94\)…
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using herons formula using herons formula, calculate the area of the pa…
\(36.6\)
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use the diameter (d) or radius (r) of each circle to find the circumfer…
1. \(r = 3\) in, \(C=18.84\) in, \(A = 28.26\) in²; 2. \(d = 5.2\) m, \(C\approx16.33\) m, \(A\approx21.23\) m²; 3. \(r = 40\) ft, \(C = 251.2\) ft, \(A = 5024\) ft²; 4. \(d = 36\…
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the diagram of the horse training center shows its measurements in mete…
Noah's expression represents the area of a single rectangle with length \(40\) and width \((y + 20)\) (where \(y+20\) is the sum of the widths of the "yard" and "arena" parts).
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15. given: ( abcong ac ) and ( \triangle bdecong\triangle cde ) prove: …
The statements and reasons are filled as follows: | Statement | Reason | |--|--| | \(AB\cong AC\) and \(\triangle BDE\cong\triangle CDE\) | Given | | \(AD\cong AD\) | Reflexive | …
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show what you know what is the distance between the points $(-3, -2)$ a…
9.9 units
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show what you know if the points are (1, 2) and (4, 6), what is the dis…
5 units
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see the figure of \\( \\triangle abc \\) with auxiliary lines added. if…
The height is \(b\sin(A)\), \(\sin(A)=\frac{\text{height}}{b}\), and the area formula is \(\frac{1}{2}bc\sin(A)\)
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what is ( mangle qtr )? ( mangle qtr=square^{circ} )
\(140\)
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find the volume of each hemisphere. round to the nearest tenth. (exampl…
8. \(658.2\) ft³ 9. \(12.2\) mm³
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what is $m\\angle rus$? $m\\angle rus = \\square^{circ}$
\(75\)