Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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11) given \\( \\triangle l m n \\cong \\triangle p q r \\). set up an e…
For \(x\): \(6\) For \(y\): \(16\)
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give the equation for the ellipse graphed above.
\(\frac{x^{2}}{9}+\frac{y^{2}}{81}=1\)
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10) mark any congruent parts you can prove on the triangles. what piece…
C. \(\overline{AE}\cong\overline{CD}\)
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7) mark the given information and any parts on the triangles that you c…
D) \(AAS\cong\) ### 8)
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jillane draws parallelogram wxyz. if wz = 4s + 25 and xy = 10s - 11, wh…
\(s = 6\)
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draw a circle with an equation of $x^{2}-4x + y^{2}+4y = 1$.
The circle has center \((2,-2)\) and radius \(3\). Plot the center \((2,-2)\) on the coordinate plane. Then, from the center, move \(3\) units up, down, left, and right to get fou…
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4) mark any congruent parts you can prove on the triangles. the triangl…
A. \(SSS\cong\) ### 5)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle1 = 103^{\circ}\), \(m\angle4 = 77^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle5 = 59^{\circ}\), \(m\angle7 = 59^{\circ}\)
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which angle is coterminal with 390°? 60° -330° -30°
\(-330^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\( m\angle5 = 51^{\circ}\), \( m\angle7 = 51^{\circ}\)
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which angle is coterminal with 135°? -225° -45° -155°
\(-225^{\circ}\)
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which angle is coterminal with -145°? 215° 625° -405°
$215^{\circ}$
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finding angle measures given two parallel lines cut by a transversal tw…
\(m\angle2 = 79^{\circ}\), \(m\angle3 = 101^{\circ}\)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle1 = 46^{\circ}\), \(m\angle4 = 134^{\circ}\)
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which angle is coterminal with 170°? -190° -350° -450°
\(-190^{\circ}\)
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given: ∠4 is complementary to ∠5. the m∠4=(x + 5)° and m∠5=(15x - 11)°,…
\(11^{\circ}\)
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19 if the ( mangle dac = 74^{circ} ) then what is ( mangle cab )?
$16^{\circ}$
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17 if ( mangle a = 38^{circ} ) then ( mangle b=)______.
\(142^{\circ}\)
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directions: determine if the figures have line, point, and/or rotationa…
1. Line, Point, Rotational 2. Line 3. Line 4. None 5. None 6. None 7. None 8. Line, Point, Rotational 9. None 10. Point, Rotational 11. None 12. None
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∠1 and ∠2 are supplementary. if m∠1 = (10x - 6)° and m∠2 = (3x - 9)°, f…
D. \(144^{\circ}\)
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14 given ( mangle lnk=(7x + 2)^{circ} ) and ( mangle knp=(10x + 3)^{cir…
\(x = 5\)
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13 find the m∠vwy. (7x + 2)° (4x + 23)°
\(51^{\circ}\)
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12 find the m∠dbc. 5. (x + 9)° (11x - 3)°
\(74^{\circ}\)
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question the midpoint of ab is m(3, -5). if the coordinates of a are (5…
The coordinates of \(B\) are \((1,-7)\)
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11 using the diagram below, solve for x. (6x + 25)° (2x + 3)°
\(7.75\)
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10 if the ( mangle por = 147^{circ} ) find ( x ).
D. \(28\)
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what is the value of x? 129° a 129 b 51 c 30 d 64.5
A. \(129^{\circ}\)
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∠1 and ∠2 are vertical angles. if m∠1 = (6x + 11)° and m∠2 = (10x - 9)°…
\(x = 5\), \(m\angle1 = 41\) degrees.
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the midpoint of \\( \\overline { a b } \\) is \\( m ( - 4,4 ) \\). if t…
The coordinates of \(B\) are \((-5,7)\)
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7 part a (a) if ∠a and ∠b are supplementary angles, what angle relation…
B. \(\angle A\) and \(\angle B\) are complementary angles.
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the following angles are vertical angles. find the value of y. (p.g.6.a…
\(13\)
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quadrilateral abcd is translated down and left to form quadrilateral ol…
\(6\) units
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△xyz ≅ △mnl. complete the statement. xy = ___ #6 practice 5.2 33° 124° …
C. \(8\)
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13. #15 practice 5.1 180° 90° 139° 11°
\(139^{\circ}\)
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in the diagram below \\( \\angle pqr = 132 ^ { \\circ } \\) and \\( \\a…
31°
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st || ru. find tv. tv =
\(45\)
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vw || ux. find tu. tu =
\(16\)
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scientists informed the volunteers they had a new target. each had to r…
C. Teens are more easily distracted, even when they don't gain a reward.
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uv || rt. find rs. rs =
\(30\)
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find the distance between the two points in simplest radical form. (8,6…
\(13\)
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find the distance between the two points in simplest radical form.
\(2\sqrt{5}\)
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find the distance between the two points in simplest radical form. (-8,…
\(10\)
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14 which set of integers could represent the lengths of the sides of an…
4) \(\{4,4,7\}\)
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find the distance between the two points in simplest radical form. (-9,…
\(15\)
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1) ( 4x + 9 < 5 )
The solution of the inequality \(4x + 9<5\) is \(x < - 1\). On the number - line, we draw an open circle at \(x=-1\) (because the inequality is strict, i.e., \(x eq - 1\)) and sh…
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find the distance between the two points in simplest radical form. (-8,…
\(2\sqrt{5}\)
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9 if two sides of a triangle have lengths of 2 and 7, the length of the…
9. (2) \(8\) 10. (2) \(7\) 13. (2) \(\{3,3,5\}\)
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11 if two sides of a triangle have lengths of 4 and 10, the third side …
11. 1) \(8\) 12. 4) \(\frac{1}{2}\) 15. 1) \(13\ ft\) 16. 2) \(350\ miles\)
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find the values of x and y. 2y + 30 = x x = y =
\(x = 150\), \(y = 60\)
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in the isosceles trapezoid abcd, diagonal db has length 3x - 8 cm and d…
\(x = 4\)
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multiple - choice question in the isosceles trapezoid above, find the m…
\(65^{\circ}\)
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hi || gj. find fh. fh =
\(63\)
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read the excerpt from the interview with e y (yip) harburg. i was walki…
While millions of Americans were suffering from the effects of poverty, Hearst remained one of the wealthiest individuals of his time.
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in the figure, (overline{lh}) is the midsegment of trapezoid (fgjk). wh…
\(x = 13.6\)
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ame all the corresponding congruent angles and sides. en, complete the …
(a) \(\angle A\cong\angle Y\), \(\angle B\cong\angle X\), \(\angle C\cong\angle Z\) (b) \(\overline{AB}\cong\overline{XY}\), \(\overline{AC}\cong\overline{YZ}\)
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example 3 reflection in the x - or y - axis triangle abc has coordinate…
- Part A: \(B'(2,2)\), \(C'(4,5)\) - Part B: \(A'(-3,2)\), \(B'(-2,-2)\), \(C'(-4,-5)\)
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find the value of x in the diagram above.
\(33\)
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multiple - choice question find the value of x in the diagram above. x …
\(x = 33\)
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multiple - choice question find the value of x in the diagram above. x …
\(x = 33\)
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multiple - choice question find the value of x in the diagram above. $x…
\(x = 33\)
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for each figure below, determine if it has rotational symmetry. if it d…
For the first figure (F): Rotational symmetry? No. For the second figure (H): Rotational symmetry? Yes, Angle? \(180^{\circ}\)
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1. toma la imagen de x bajo una dilatación alrededor del origen con fac…
El punto \( P' \) (imagen del punto \( P \) después de la dilatación) tiene coordenadas \( (7,-14) \). Observando las opciones, la gráfica correcta es la que muestra el punto \( P…
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for each figure below, determine if it has rotational symmetry. if it d…
First figure: Rotational symmetry? Yes, Angle: \(180^{\circ}\) Second figure: Rotational symmetry? Yes, Angle: \(120^{\circ}\)
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for each figure below, determine if it has rotational symmetry. if it d…
- First figure: Rotational symmetry? Yes, Angle: \(45^{\circ}\) - Second figure: Rotational symmetry? No, Angle: (not applicable)
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a ladder leans against the side of a house. the top of the ladder is 10…
\(12.2\)
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a 29 - m tall building casts a shadow. the distance from the top of the…
\(19.6\)
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kites 54 + 2 = 27 in kite abcd, m<dab = 54°, and m<cdf = 52°. find: m<b…
# Explanation: ## Step1: Recall the angle - sum property of a quadrilateral The sum of the interior angles of a quadrilateral is \(360^{\circ}\). For kite \(CDEF\), we know that \…
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the length of a shadow of a building is 27 m. the distance from the top…
\(13.1\)
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find the area of this sector if ( r = 2 ) and ( \theta = \frac{pi}{9} )…
\(\frac{2}{9}\pi\)
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4 fill in the blanks. 1 foot is exactly ______ inches 1 yard is exactly…
1 foot is exactly 12 inches. 1 yard is exactly 3 feet. For the skateboard, circle feet. For the California coastline, circle miles. The cat is approximately 45.72 centimeters long.
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find wy. wy =
\(80\)
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part 1: knowledge & understanding 1. for each statement below, check of…
True ## b)
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for each pair of units listed below, circle the longer one: inch or foo…
1. 2.54 2. 16.1 3. centimeters 4. meters
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the vault shown is in the shape of a cube. if each side is 3y^{3} feet,…
\(27y^{9}\)
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10 you have two rectangular grids of $1\\mathrm{cm}^{3}$ cubes, one mea…
a. The total number of \(1cm^3\) cubes in the two rectangular grids combined is \(2n^2+13n + 15\). b. Since the total number of cubes can be factored as \((2n + 3)(n + 5)\) (where…
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the rectangle to the right has width $5x^{8}$ feet and length $8x^{9}$ …
\(40x^{17}\) square - feet
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6. in the diagram below ( p parallel q ), and ( mangle 7=(x^{2}+90)^{ci…
\(65^{\circ}\)
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6. in the diagram below p || q, and m∠7 = (x² + 90)° and m∠4 = (35 - 6x…
\(65^{\circ}\)
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diagnostic based on the graphs below, label them as parallel lines, per…
A. Parallel lines. B. Parallel lines. C. Neither. D. Parallel lines.
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15. if the area of a circle is 201.06 cm², what is the diameter?
\(16\space cm\)
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6. in the diagram below p || q, and m∠7 = (x² + 90)° and m∠4 = (35 - 6x…
\(65^{\circ}\)
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solve for x. x =
\(3\)
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solve for x. x =
\(x = 4\)
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solve for x. x = submit
\(x = 15\)
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solve for x.
\(6\)
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find the measure of $\\angle fhb$. $m\\angle fhb=\\square^{circ}$
\(108\)
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solve for x. submit
\(x = 6\)
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solve for x. x = submit
\(x = 21\)
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solve for x. x = submit
\(x = 5.8\)
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solve for x. x = submit
\(x = 1\)
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solve for x.
\(x = 3\)
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solve for x. x =
\(5\)
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5. in the diagram below \\( \\overleftrightarrow { a b } \\parallel \\o…
\(104.25^{\circ}\)
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4. find x and y using the diagram below. 6x - 7 4y - 13 12y + 1 4x + 7
\(x = 7\) and \(y=12\)
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solve for x. x = submit
\(21\)
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solve for x. x = submit
\(13\)
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solve for x, x =
\(18\)
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2,3,4,5,6,7,8,9, and 10 find a · b. for exercises 9 - 10, refer to the …
\(3\sqrt{3}\)
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4. find x and y using the diagram below. 6x - 7 4y - 13 12y + 1 4x + 7
\(x = \frac{28}{3}\), \(y=-\frac{7}{4}\)