Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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11. solve the inequality. \\( \\frac { 5 } { 3 } ( 2 x + 2 ) - 10 \\geq…
C. no solution
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question convert the angle 5.5 radians to degrees, rounding to the near…
\(315.1^{\circ}\)
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graph the solution to the inequality on the number line. $$ | - 6 - 3 w…
On the number line, draw a solid circle at \(-5\) (because \(w=-5\) is included in the solution set, since the inequality is \(\leq\)) and a solid circle at \(1\) (because \(w = 1…
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which criteria describes ways to prove two triangles are congruent? sel…
side - side - side, angle - side - angle, side - angle - side
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a triangle has side lengths of $(6.2g + 3.4)$ centimeters, $(1.9g - 5.3…
\(-0.7 + 9.3h+8.1g\)
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after a windstorm, a leaning pole makes a 75° angle with the road surfa…
B. \(12.2\) ft
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20. the side of a square was 4.3 meters long. find the area of the squa…
\(18.49\) square meters
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 14\), \(y = 54\)
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18. the length of another rectangle was 6.2 inches. the width of the re…
\(18.6\) inches
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19. the area of a square was 100 square miles. fin the length of one si…
The length of one side of the square is \(10\) miles.
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the points d(4, -2), e(-5, -2), and f(1, -8) form a triangle. graph the…
\( 9 + 3\sqrt{5}+6\sqrt{2} \)
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7. the perimeter of the rectangle was 26 feet. if the length of the rec…
The width of the rectangle is \(6\) feet.
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find the area of the figure. the area of the figure is (type an integer…
\(57.5\)
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transversal t cuts parallel lines r and s. which angles must be congrue…
B. $\angle7$ only
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1) the points a(1, -7), b(1, -1), and c(-6, 2) form a triangle. graph t…
\(6+\sqrt{58}+\sqrt{130}\)
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in triangle abc, ab = 90 in., bc = 80 in., and angle b measures 50°. wh…
242.4 in.
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find the area of the figure. a = (simplify your answer.)
\(348\)
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select the correct answer. transversal cd cuts parallel lines pq and rs…
B. \(115.64^{\circ}\)
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jalia is using this figure to prove that triangle abc is an isosceles t…
D. \(CE = BC\) because of the perpendicular bisector theorem
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fill in the blank with the appropriate word, phrase, or symbol to make …
1. shape; size 2. \(\sim\); \(\angle\) 3. scale 4. angles; sides 5. proportion Example: - \(\angle A\) corresponds with \(\angle X\), \(AB\) matches with \(XY\) - \(\angle B\) mat…
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two ropes are tied to the same place on a tree growing perpendicular to…
C. The length of rope between where it is tied to the tree to where it is anchored to the ground is the same for both ropes.
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select the correct answer from each drop - down menu. given: ( a parall…
2. \(\angle1\cong\angle5\) - corresponding angles theorem; 3. \(\angle5\cong\angle7\) - vertical angles theorem; 4. \(\angle1\cong\angle7\) - transitive property of congruence.
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proving the triangle inequality theorem given: abc is a triangle prove:…
First blank: \(CE\); Second blank: \(AE\); Third blank: segment - addition postulate.
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determine each segment length in right triangle abc. 4 4\\sqrt{2} 2\\sq…
\( BC = 4\), \( AD = 6\), \( BD = 2\sqrt{3}\), \( AB = 4\sqrt{3}\)
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4. what is the value of x in the equation? 4x + 2 - \\frac{2}{3}(\\frac…
\(x = 8\), so the answer is D.
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given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 12\), \(y=76\)
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which three pairs of measurements are possible side lengths for the tri…
AB = 4, BC = 4√3; AB = 7, AC = 14; AB = 11, BC = 11√3
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select the correct answer janet is fencing a triangular portion of her …
B. 341 ft
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what is the value of y in the triangle? a. 3 b. 6 c. 6√3 d. 3√3
D. \(3\sqrt{3}\)
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select the correct answer. . right triangle def has two 45° angles with…
C. \(4\sqrt{2}\)
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3x 4y - 10 x = 14
\(y = 13\)
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the distance between lincoln, ne, and boulder, co, is about 500 miles. …
\(300\lt d\lt700\)
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 126 \)
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determining angle relationships in right triangles triangle xyz is a ri…
Angle \(X\) must be acute. Angle \(Z\) must be acute. The sum of angles \(X\) and \(Z\) must be \(90^{\circ}\).
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 5\)
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if triangle lmn has an obtuse angle at vertex m, which statements could…
The angle at vertex \(N\) is acute, Triangle \(LMN\) is an obtuse triangle, The angle at vertex \(L\) is acute.
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complete the statement explain why it is true choose the correct answer…
A. $\overline{VT}\cong\overline{TX}$ because if two angles are congruent, then the sides opposite those angles are congruent.
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naming triangles based on side lengths and angle measures in triangle a…
- Obtuse - angled - Right - angled - \(6\)
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what is the value of x? the value of x is
\(55\)
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lisa is fertilizing her garden. the garden is in the shape of a rectang…
\(4\)
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separate and redraw the indicated triangle. identify any common angles …
\(\angle K\)
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which angle has a measure equal to the sum of m∠sqr and m∠qrs? ∠dqs ∠rs…
\(\angle SRE\)
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the triangles △bcd and △cbe are congruent. identify their common side o…
\(\overline{BC}\)
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Parallel Graph 3: Perpendicular Graph 4: Neither
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which statements are always true regarding the diagram? choose three co…
\(m\angle2 + m\angle3 + m\angle5 = 180^{\circ}\), \(m\angle2 + m\angle3=m\angle6\), \(m\angle5 + m\angle6 = 180^{\circ}\)
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Neither Graph 3: Perpendicular Graph 4: Neither
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the triangles △qrs and △rqt are congruent. identify their common side o…
\(\overline{QR}\)
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triangle angle theorems which angles measure is equal to the sum of the…
\(\angle CBE\)
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the triangles △pts and △qtr are congruent. identify their common side o…
\(\angle T\)
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each graph, decide if the two lines are parallel, perpendicular, or nei…
Graph 1: Neither Graph 2: Parallel Graph 3: Neither Graph 4: Parallel
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which is a true statement about the diagram? $m\\angle2 = m\\angle3 = m…
\(m\angle5=m\angle3 + m\angle2\)
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Parallel Graph 3: Neither Graph 4: Parallel
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which represents an exterior angle of triangle abf? ∠afe ∠cab ∠cad ∠bad
$\angle CAD$
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Perpendicular Graph 2: Neither Graph 3: Parallel Graph 4: Neither
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symbols of geometry write the letter of the correct word or phrase in t…
- $\overline{AB}$: C - $\overleftrightarrow{AB}$: M - $\overrightarrow{AB}$: Y - $AB$: B - $\angle ABC$: A - $m\angle ABC$: L - $^{\circ}$: S - $ eq$: A - $\perp$: R - $\parallel…
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Neither Graph 3: Perpendicular Graph 4: Parallel
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which statement regarding the figure is true? m∠mkl + m∠mlk = m∠jkm m∠k…
\(m\angle MKL + m\angle MLK=m\angle JKM\)
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question for each graph, decide if the two lines are parallel, perpendi…
Graph 1: Neither, Graph 2: Parallel, Graph 3: Neither, Graph 4: Perpendicular
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which statement regarding the interior and exterior angles of a triangl…
An exterior angle is supplementary to the adjacent interior angle.
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a circle has a diameter of 16 yd. what is its circumference? use 3.14 f…
\(50.24\) yd
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what are the coordinates of point p, the image of point (3, - 4) after …
4) \((-4,3)\)
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which statement regarding the diagram is true? $m\\angle wxy + m\\angle…
\(m\angle WXY + m\angle YXZ = 180^{\circ}\)
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the radius of a circle measures 6 m. what is the circumference of the c…
\(37.68\) m
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if ( mangle x = 34^{circ} ) and ( mangle z = 26^{circ} ), what is ( man…
\(m\angle Y = 120^{\circ}\)
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a circle has a diameter of 8 mm. what is its circumference? use 3.14 fo…
\(25.12\) mm
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what is the value of x? art not to scale.
\(x = 93\)
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what is the image of ( a(5,2) ) under ( r_{90^{circ}} )? 1) ( (-5,2) ) …
4) \((-2,5)\)
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which transformation would take figure a to figure b?
Una traslación (movimiento) hacia arriba y hacia la derecha.
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tell why the two triangles are congruent. give the congruence statement…
The two triangles are congruent because of the angle - angle - side (AAS) theorem. The congruence statement is \(\triangle JKL\cong\triangle BTH\)
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solve the following inequality. graph the solution set. |x - 5| + 5 < 7…
A. There are infinitely many solutions. The solution set is \((3,7)\) (Type your answer in interval notation). And the correct graph is C (assuming graph C has open - circles at 3…
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in the diagram below, congruent figures 1, 2, and 3 are drawn. which se…
1) a reflection followed by a translation
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given: \\( \\triangle abc \\) prove: \\( m\\angle zab=m\\angle acb + m\…
The first blank is filled with "linear pair postulate", the second blank is filled with "triangle angle - sum theorem", and the last blank is filled with "subtraction property".
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tell why the two triangles are congruent. give the congruence statement…
C. The two triangles are congruent because of the angle - side - angle (ASA) postulate.
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given : △abc prove : m∠zab = m∠acb + m∠cba we start with triangle abc a…
\(m\angle ZAB=m\angle ACB + m\angle CBA\)
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name the postulate or theorem that can be used to show that the triangl…
A. angle - side - angle (ASA) postulate. The statement \(ET\cong MT\) is true because \( \triangle AET\cong\triangle AMT\) (by ASA postulate) and corresponding parts of congruent …
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consider triangle xyz with altitude wz. what is xz? type the correct an…
14
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graph the image of trapezoid rstu after a reflection over the line x = …
Plot the points \(R'(11,-7)\), \(S'(10,-1)\), \(T'(9,-9)\), \(U'(10,-10)\) and connect them to form the reflected trapezoid.
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ating the measures of interior angles of a triangle use the diagram sho…
The measure of angle \(ABC\) is \(120^{\circ}\), the measure of angle \(BAC\) is \(70^{\circ}\), the measure of angle \(ACB\) is \(50^{\circ}\)
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given ( m parallel overline{cb} )
Alternate interior angles of parallel lines cut by a transversal are congruent.
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identify which sequence of transformations could map pentagon abcde ont…
3) line reflection followed by a translation
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claires backyard is in the shape of a rectangle, with the dimensions sh…
\(68.3\)
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identifying exterior angles of triangles which represents an exterior a…
\(\angle JXZ\)
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applying angle relationships of isosceles triangles what is the measure…
The measure of \( \angle EGF\) is \(65^{\circ}\). The measure of \( \angle CGF\) is \(115^{\circ}\).
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on the set of axes below, \\( \\triangle let \\) and \\( \\triangle let…
2) a rotation of \(180^{\circ}\) about the origin
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determine whether the triangles must be congruent. if so, name the post…
C. The triangles are congruent by SAS.
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analyzing angle relationships of triangles which statements are always …
\(m\angle2 + m\angle4=m\angle5\), \(m\angle2 + m\angle4 + m\angle6 = 180^{\circ}\), \(m\angle3 + m\angle4=180^{\circ}\)
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solving for exterior angle measures what is the measure of \\( \\angle …
\(114^{\circ}\)
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triangle pqr is shown on the set of axes below. which quadrant will con…
1) I
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triangle abc is rotated 45° about point x, resulting in triangle efd. i…
\(3.6\mathrm{cm}\) (corresponding to the second option)
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graph the image of kite stuv after a reflection over the y - axis.
Plot the points \((5,-5)\), \((3,-1)\), \((4,3)\), \((9,-1)\) and connect them to get the reflected kite.
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ving for angle measures what is the value of k?
\(10\)
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is \\( \\triangle wxz \\cong \\triangle yzx \\)? why or why not? yes, t…
Yes, they are congruent by SAS.
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relating and calculating the measures of interior and exterior angles o…
\(98\)
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which two - dimensional shape, when rotated around its axis, would resu…
None of the options provided are correct. If we assume the three - dimensional shape is a sphere (the most common shape related to rotation of a circular - based 2D shape), the co…
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triangle rst is rotated 180° about the origin, and then translated up 3…
\(\triangle RST\cong\triangle ABC\)
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nessa proved that these triangles are congruent using asa. roberto prov…
\(\angle A\cong\angle Q\) because of the third angle theorem.
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which rigid transformation would map \\( \\triangle abc \\) to \\( \\tr…
a reflection across the line containing \( \overline{BA}\)
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which rigid transformation would map △abc to △edc? a rotation about poi…
a rotation about point C
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explain what happens when a square is rotated about side mp. drag and d…
Rotating square \(MNOP\) about side \(MP\) forms a **cylinder**. Side \(MP\) becomes the axis of rotation, which forms the **height** of the shape. The opposite side, side \(NO\) …
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triangle def is congruent to △def by the sss theorem. which single rigi…
reflection