Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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question 3 of 10 the distance between points ((x_1, y_1)) and ((4, 8)) …
B. False
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question 2 of 10 when you use the distance formula, you are building a …
B. hypotenuse
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trigonometric ratios in right triangles find tan(α) in the triangle.
$\frac{21}{20}$
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question 1 of 10 which expression gives the distance between the points…
A. $\sqrt{(2 + 4)^2 + (5 - 8)^2}$
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3) given that a, b, and c are collinear points, and ac=10x−4, ab=5x+3, …
C) \( x = 3 \)
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2) points d, e, and f are collinear, and e is between d and f. if df=22…
A) 7 cm
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find \\(\\cos(\\beta)\\) in the triangle (right - angled at \\(c\\), wi…
D. $\frac{5}{13}$
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1) if point b is on line segment ac, and ab=5 units and bc=8 units, wha…
D) 13 units
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find sin(\\beta) in the triangle.
$\frac{12}{13}$
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question 4 of 10 the midpoint of a line segment is the point halfway be…
A. True
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which methods could you use to calculate the x-coordinate of the midpoi…
B. Count by hand, C. Divide 20 by 2
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day 3 – wednesday, september 4th show your work fill in the missing jus…
Transitive
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triangle 1: △def cos(f) = box check (diagram: right triangle △def with …
$\frac{5}{13}$
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day 2 – tuesday, september 3rd look at the diagram of △abc with point d…
The postulate illustrated is the Segment Addition Postulate.
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in the figure shown below, line m and line n are parallel. what is the …
\( 20 \)
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in the figure shown below, if line m is parallel to line n, then find t…
\( 25 \)
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in the figure shown below, $overline{bc} parallel overline{de}$, $overl…
146
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practice supplementary angles. which angle pairs are supplementary? che…
\(\angle4\) and \(\angle3\), \(\angle4\) and \(\angle5\) (so the options to check are \(\boldsymbol{\angle4}\) and \(\boldsymbol{\angle3}\), \(\boldsymbol{\angle4}\) and \(\boldsy…
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3 in the figure shown below, bc || de, af is a transversal, m∠cpq = 2x …
\( 34 \)
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construct a segment congruent to (overline{ab}) (with segment (ab) draw…
### Second Step in Construction: B. Open the compass to the length of \( \overline{AB} \) ### Final Step in Construction: D. With the same compass setting, put the compass point o…
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1. read the poem crowned by amy lowell and then answer the question tha…
the negative/painful parts of the relationship
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what is the area of a parallelogram formed by ( v_1 = langle 2, 6 angle…
16 square units (corresponding to the option "16 square units")
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∠l and ∠m are complementary, m∠l = 5x - 4 and m∠m = 3x - 6. select the …
Geometric Set Up: \(m\angle L + m\angle M = 90^\circ\) Algebraic Set Up: \(8x - 10 = 90\)
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∠l and ∠m are complementary, ( mangle l = 2x + 25 ) and ( mangle m = 4x…
Conceptual Set Up: \(m\angle L + m\angle M = 90^\circ\) Algebraic Set Up: \(6x + 36 = 90\)
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∠l and ∠m are supplementary, m∠l = 3x + 90 and m∠m = 2x − 20. select th…
Geometric Set Up: \(m\angle L + m\angle M = 180^\circ\) Algebraic Set Up: \(5x + 70 = 180\)
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line segment wx is the radius of circle x, and line segment zy is the r…
324π units²
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∠l and ∠m are supplementary, ( mangle l = 2x + 25 ) and ( mangle m = 4x…
Geometric Set Up: \(m\angle L + m\angle M = 180^\circ\) Algebraic Set Up: \(6x + 36 = 180\)
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point n is the midpoint of segment fg and fg = 2x + 4. select the geome…
Geometric Set Up: \(\frac{1}{2}(FG) = NG\) Algebraic Set Up: \(\frac{1}{2}(2x + 4) = x + 2\)
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4-1 & 4-2 intro to segments and angles b is the midpoint of segment ac,…
Geometric Set Up: \( AB = BC \) and \( AB + BC = AC \) Algebraic Set Up: \( 2(x + 7)=5x - 7 \)
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in circle v, r = 14ft. what is the area of circle v? ○ 14π ft² ○ 28π ft…
\( 196\pi\ \text{ft}^2 \) (corresponding to the option: \( 196\pi\ \text{ft}^2 \))
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the diagram shows one way to develop the formula for the area of a circ…
\( A = \frac{1}{2}(2\pi r)(r) \) (corresponding to the third option: \( A=\frac{1}{2}(2\pi r)(r) \))
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qs bisects ∠pqr. ( mangle pqs = 11x + 24 ) and ( mangle rqs = 36 + 9x )…
- Correct Algebraic Set Up: \( 11x + 24 = 36 + 9x \) (because \( m\angle PQS = m\angle RQS \) from angle bisector) - Correct Geometric Set Up: \( m\angle PQR = m\angle PQS + m\ang…
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the smallest of the three circles with center d has a radius of 8 inche…
\( 464\pi \) in.² (corresponding to the option: 464π in.²)
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the measure of central angle rst is π radians. what is the area of the …
\( 8\pi \) units\(^{2}\) (corresponding to the option: 8π units²)
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question 25 of 25 if a circle is inscribed in a square, which of the fo…
A. The square is circumscribed about the circle. B. Each vertex of the square lies outside the circle. D. The circle is tangent to each side of the square.
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given the figure below, find the value of x and z. the figure shows two…
\(x = 3\), \(z = 67\)
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what is the sum of the areas of circle c and circle d? ○ 7π units² ○ 14…
\( 98\pi \) units\(^2\) (corresponding to the option: \( 98\pi \) units\(^2\))
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use the diagram below to answer the questions. which are shown on the d…
# Brief Explanations: 1. Analyze \(\overline{JL}\): A line segment \(\overline{JL}\) would connect \(J\) and \(L\), but the diagram shows a ray from \(K\) to \(L\) (or beyond) and…
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fiona draws a circle with a diameter of 14 meters. what is the area of …
\( 49\pi\space m^{2} \) (corresponding to the option: 49π m²)
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a triangle has interior angle measures of s + 13°, 2s − 5°, and 2s. wha…
\(34.4\)
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question 24 of 25 in the diagram below, ( moverarc{jm} = 96^circ ) and …
C. \(105^\circ\)
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what is the distance around a circle called? a. circumference b. chord …
A. Circumference
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question 22 of 25 which of the following is the best definition of a ci…
D. The collection of all points in a plane that are the same distance from a given point
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a triangle has interior angle measures of t + 18°, 2t, and 3t − 17°. wh…
\(29.8\)
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question 21 of 25 which type of arc lies outside of the central angle a…
C. Major arc
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question 20 of 25 if the measure of a tangent-chord angle is 68°, then …
D. \( 136^\circ \)
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question 19 of 25 the ______ of a triangle is the center of the only ci…
A. circumcenter
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true or false? an inscribed angle is formed by two chords that share an…
A. True
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in the figure, angle zyx is measured in degrees. the area of the shaded…
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
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a rectangle has a height of (4x^3) and a width of (x^3 + 3x^2 + 2x). ex…
\( 4x^{6}+12x^{5}+8x^{4} \)
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point o is the center of the given circle. what is the measure of (wide…
D. \( 108^\circ \)
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the diagram shows a triangle. 5z-14° 2z-15° 38° what is the value of z?…
\(24.4\)
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the diagram shows a triangle. the angles are 37°, ( u - 13^circ ), and …
\(86.5\)
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consider circle t with radius 24 in. and ( \theta = \frac{5pi}{6} ) rad…
20π in.
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a rectangle has a height of 4w³ and a width of 5w² − 3w − 4. express th…
\( 20w^{5}-12w^{4}-16w^{3} \)
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what is the measure of ∠cae? diagram: circle with points c, e, b, d, a;…
C. \(25^\circ\)
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in... is the midpoint? if... diagram: line segment from h to y, with pa…
If we assume the question is to find \( x \), then \( x = 1.7 \) (or \( \frac{17}{10} \)). If it's to find the lengths: \( HX = 11.6 \), \( XY = 5.9 \), \( HY = 17.5 \) (depending…
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what is the measure of ∠qap? diagram: circle with points q, p, a, o; ar…
D. \(55^\circ\)
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the ______ of a triangle is the center of the only circle that can be i…
A. incenter
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a rectangle has a height of (7x^2) and a width of (3x^2 + 8x + 7). expr…
\( 21x^{4}+56x^{3}+49x^{2} \)
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the circumference of the circle shown below is 54 centimeters. which ex…
C. $\frac{120}{360}\bullet54$
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a pizza with a diameter of 18 inches is cut into 10 equal slices. to th…
D. \(25\ \text{in}^2\)
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two circles are shown in the diagram. c₁ (small circle) with ( d_1 = 1 …
To solve for \( C_2 \), substitute \( C_1=\pi \), \( d_1 = 1 \), and \( d_2 = 2r \) into \(\frac{C_1}{d_1}=\frac{C_2}{d_2}\) to get \(\frac{\pi}{1}=\frac{C_2}{2r}\), then cross - …
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4-1 & 4-2 intro to segments and angles is point q the midpoint of \\(\\…
First dropdown: is not; Second dropdown: is not; \( x = 5 \); \( PQ = 35 \); \( QR = 37 \)
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which line segment is a chord of ⊙ p in the diagram below? a. $overline…
A. $\overline{QR}$
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is perpendicular to (overline{ab}). what is the length of (overline{ab}…
C. 8.8 units
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an arc on a circle measures 125°. the measure of the central angle, in …
\( \frac{\pi}{2} \) to \( \pi \) radians (the second option)
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if ∠def measures 70°, what is the measure of ( overarc{df} )? diagram: …
B. \( 140^\circ \)
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circle o has a circumference of approximately 44 in. what is the approx…
14 in.
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question 9 of 25 true or false? if a parallelogram is inscribed in a ci…
A. True
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pythagorean theorem (a^2 + b^2 = c^2) ((\text{leg})^2 + (\text{leg})^2 …
s: - For \( x \): \( \boldsymbol{15} \) - For \( y \): \( \boldsymbol{5} \) - Quadrilateral Properties Table (filled): | Property | Square | Rectangle | Parallelogram | Rhombus | …
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arc cd is \\(\\frac{2}{3}\\) of the circumference of a circle. what is …
\(\frac{4\pi}{3}\) radians (corresponding to the option " \(\boldsymbol{\frac{4\pi}{3}}\) radians")
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the diagram shows a triangle. the angles of the triangle are ( y + 44^c…
\(21\)
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given the figure below, find the values of x and z. z° (7x + 46)° (10x …
\(x = 3\), \(z = 67\)
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to the nearest square inch, what is the area of the shaded sector in th…
C. \( 116 \, \text{in}^2 \)
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finding angles ∠a and ∠b are complementary. find ( mangle a ) and ( man…
\( m\angle A = 71^\circ \) \( m\angle B = 19^\circ \)
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if two chords in a circle are congruent, then they are ______. a. paral…
B. the same distance from the center of the circle
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to the nearest hundredth, what is the area of a circle with a radius of…
D. 78.54 square units
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minor arc kl measures 135°. which is the radian measure of central angl…
\( \frac{3\pi}{4} \) radians (corresponding to the option " \( \boldsymbol{\frac{3\pi}{4}} \) radians")
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question 3 of 25 to the nearest hundredth, what is the circumference of…
A. 43.98 units
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in the figure below, m∠3 = 109°. find m∠1, m∠2, and m∠4. m∠1 = ☐° m∠2 =…
\( m\angle1 = 109^\circ \) \( m\angle2 = 71^\circ \) \( m\angle4 = 71^\circ \)
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the diagram shows a triangle. 46° 16z−38° 76° what is the value of z? z…
\(z = 6\)
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the diagram shows a triangle. 56° 81° 7z+8° what is the value of z? z =…
\(z = 5\)
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in the figure below, ( m angle jkm = 96^circ ), ( overline{kl} ) bisect…
\( 24 \)
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an arc on a circle measures 295°. the measure of the central angle, in …
\( \frac{3\pi}{2} \) to \( 2\pi \) radians (the last option)
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the diagram shows a triangle. a-12° 2a+1° 2a-19° what is the value of a…
\(42\)
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arc cd is $\\frac{1}{4}$ of the circumference of a circle. what is the …
\(\frac{\pi}{2}\) radians (the option: \(\frac{\pi}{2}\) radians)
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in the figure below, m∠1 = 84° and m∠bad = 141°. find m∠2. m∠2 = ☐°
\( 57 \)
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rectangle abcd is congruent to rectangle urst. what is the area of rect…
135 mm² (Option: 135 mm²)
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the diagram shows a triangle. what is the value of p? p = \boxed{}^circ
\(22\)
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triangle trs is rotated about point x, resulting in triangle bac. figur…
14 ft
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the diagram shows a triangle. what is the value of z? z = \\boxed{°} su…
\(97\)
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in circle o, the length of radius ol is 6 cm and the length of arc lm i…
14.2 cm (corresponding to the option "14.2 cm")
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consider the diagram. the congruence theorem that can be used to prove …
SSS
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the diagram shows a triangle. 33° 42° p+28° what is the value of p? p =…
\(77\)
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the diagram shows a triangle with angles 33°, 61°, and ( x + 21^circ ).…
\(x = 65\)
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the diagram shows a triangle. what is the value of v? v = \\boxed{\\cir…
\(18\)
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use the figure to complete each part. (a) name the sides of ∠gfe. and (…
$\overrightarrow{FG}$ and $\overrightarrow{FE}$ ### Part (b)
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the diagram shows a triangle. what is the value of z? z = \\boxed{^\\ci…
\(z = 9\)
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in each circle below, a 50° angle with a vertex at the center of the ci…
The arc lengths are proportional: \(\widehat{CD} = 2\widehat{EF}\) (the second option, assuming a possible typo in the radius of the first circle, and since arc length is proporti…