Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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chords $overline{ac}$ and $overline{bd}$ intersect at e, with bd = 7 un…
$2.5$
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i an isosceles triangle has base angles that each measure 38°. find x, …
x = 104, y = 33, z = 31, w = 7
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which of the following is a counterexample for this conditional stateme…
an oval
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find the measure of ∠tus. m∠tus =
\(51\)
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kylie writes an equation to solve for the diameter, d, of the circle sh…
8.25 in
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question 4 of 5 select the correct answer from each drop - down menu. p…
The steps described construct a tangent line from a point P on the circle to the circle. The final line drawn through P and the intersection point S of the arcs is the tangent lin…
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question 3 of 5 drag each tile to the correct box. the steps for constr…
1. C. Construct the perpendicular bisectors of \(\overline{AB}\) and \(\overline{BC}\). 2. B. Label the intersection of the perpendicular bisectors \(O\). 3. A. Construct a circle…
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question 2 of 5. drag each tile to the correct box. quadrilateral abcd …
$m\angle C$, $m\angle B$, $m\angle D$, $m\angle A$
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select the correct answer. a student constructed tangent lines to circl…
Step 3 contains an error. To fix it, set the compass width to be half of the length of segment $OP$ after finding the mid - point $M$ of $OP$.
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in quadrilateral wxyz, m∠w is 68°, m∠x is (3x + 48)°, and m∠z is (5x - …
$m\angle X = 120$ $m\angle Y = 112$ $m\angle Z = 60$
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if secant segments sr and tr intersect at point r, find the length of v…
4
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manny is looking for a place to live that is equidistant from three maj…
D
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what is the length of the longer of the two chords shown? length of lon…
$18$
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problem 6: ∠stu measures 7 more than twice its complement. what is the …
$117\frac{2}{3}$
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type 3 - angle problems (complement / supplement / linear pairs) proble…
$109.5^{\circ}$
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warm - up: boxes. which one doesnt belong? explain your reasoning. a. l…
b
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lk goes through the center of the wheel pictured. find the diameter of …
32 cm
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two tangents each intersect a circle at opposite endpoints of the same …
No, it is not possible. The two tangents are parallel because each is perpendicular to a radius and the two radii are collinear (being part of the same diameter), and parallel lin…
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a satellite views the earth at an angle of 20°. what is the arc measure…
$40^{\circ}$
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finding arc measures involving two intersecting tangents what is the me…
$250$
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aaron is standing at point c, watching his friends on a ferris wheel. h…
$194$
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what is the measure of angle aoc? o 42° o 58° o 66° o 79°
# Explanation: ## Step1: Recall the property of angles in a circle The sum of angles around a point is $360^{\circ}$. But we can also use the property of vertical - angles and arc…
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finding an angle measure what is the measure of angle aoc? 42° 58° 66° …
# Explanation: ## Step1: Recall the inscribed - angle theorem The measure of an inscribed angle is half the measure of the central angle that subtends the same arc. ## Step2: Iden…
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finding arc measures involving an intersecting secant and tangent. what…
$x = 58$
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finding angle measures involving two intersecting secants what is the m…
$42.5^{\circ}$
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determining a formula which formula would be used to find the measure o…
\(\frac{1}{2}(a^{\circ}-b^{\circ})\)
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by intersecting chords, secants, and tangents. what are the measures of…
$m\angle1 = 50$, $m\angle2 = 130$
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by intersecting chords, secants, and tangents. what are the measures of…
# Explanation: ## Step1: Recall angle - chord - arc relationship The measure of an angle formed by two intersecting chords in a circle is half the sum of the measures of the inter…
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shondra wants to find the measure of angle jkl. her work is started. wh…
$38$
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explore the properties of angles and arcs formed by two intersecting se…
$56$
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what is the value of z? 52° 104° 116° 208° 120° 112°
$z = 104^{\circ}$
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marcel is designing a circular necklace that will consist of 4 sections…
\(m\angle1 = 54\) \(m\angle2 = 112\)
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explore the properties of angles formed by two intersecting chords. 1.t…
$210$
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explore the properties of angles formed by two intersecting chords. √ 1…
\(210\)
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explore the properties of angles formed by two intersecting chords. 1.t…
105
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applying theorems what are the measures of arc jk and ∠kij? measure of …
Measure of $\widehat{JK}=104^{\circ}$ Measure of $\angle KIJ = 52^{\circ}$
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what is the measure of arc au? 44° 50° 64° 92°
C. \(64^{\circ}\)
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pr and qs are diameters of circle t. what is the measure of sr? 50° 80°…
$100^{\circ}$
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justifying the second corollary to the inscribed angle theorem. explain…
An angle inscribed in a semi - circle is a right angle because by the inscribed - angle theorem, which states that the measure of an inscribed angle is half the measure of the cen…
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proving the first corollary to the inscribed angle theorem given: ∠kjl …
3. inscribed angle thm. 4. inscribed angle thm. 5. substitution property
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applying the third corollary to the inscribed angles theorem. the measu…
\(m\angle B = 110\) \(m\angle D = 70\)
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identifying congruent angles ∠fae measures 72°. what other angle must m…
D. ∠FBE
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applying the second corollary to the inscribed angles theorem. the meas…
49.5
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applying the angle formed by a tangent and chord theorem the measure of…
$81$
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what is the slope of a line parallel to the line shown on the coordinat…
2
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practice with inscribed angle theorems and corollaries and the angle fo…
$168^{\circ}$
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what is the slope of a line parallel to the line shown on the coordinat…
3
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given: a circle with inscribed quadrilateral abcd prove: ∠a and ∠c are …
180
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given: a circle with inscribed quadrilateral abcd prove: ∠a and ∠c are …
\((360 - a)/2\)
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given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are…
$\frac{a}{2}$
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given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are…
$360 - a$
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enter the area of the room. game room square centimeters
50 (assuming the counted length and width values as in the example above; actual answer depends on the real - counted values of length and width from the grid)
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finding area by counting square units mastery check what is the area of…
B. 27 square units
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find the area of the rectangle. a 45 square units b 70 square units
B. 70 square units
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find the area of the polygon. square units
40
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1. r, q, and s are collinear and q is between r and s. work and draw a …
$RQ = 32$, $QS = 11$
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line is defined as a a. a geometric shape that is open and moves from o…
A. a geometric shape that is open and moves from one point to another.
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find the dimensions of the cube. volume = 216 cm³
$6$
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find the dimensions of the cube. volume = 64 in.³
$4$ in
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3 from unit 1, lesson 5 this diagram is a straightedge and compass cons…
3. Steps of angle - bisector construction: - Place compass at A, draw arc intersecting sides of ∠BAC at B and C. - With same compass width, draw arcs from B and C, intersect at D.…
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5 from unit 1, lesson 4 this diagram is a straightedge and compass cons…
The blue triangle $\triangle VZW$ is equilateral because its sides are formed by the radii of the circles in the straight - edge and compass construction, making all its sides equ…
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1 which of the following constructions would help to construct a line p…
1. C. construction of a perpendicular bisector through C 2. B. Lines l and n are perpendicular. C. Lines m and n are perpendicular. D. Lines l and m are parallel.
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find the distance between points l and m. round your answer to the near…
$8.9$
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find the distance between point c and d. round your answer to the neare…
$7.3$
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find the distance between the two points rounding to the nearest tenth …
$6.4$
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find the distance between the two points rounding to the nearest tenth …
$7.8$
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find the distance between the two points rounding to the nearest tenth …
$9.2$
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point u is on line segment $overline{tv}$. given $tv = 3x$, $uv = x + 1…
1
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point s is on line segment $overline{rt}$. given $rs = 10$ and $st = 7$…
17
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what is the length of fg , when m is the midpoint of fg ? f m g 3x - 4 …
58
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what is the length of fg, when m is the midpoint of fg?
16
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point m is the midpoint of segment fg. find the value of x. f m g 3x - …
$x = 11$
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point m is the midpoint of segment fg. find the value of x. f m g 5x+13…
$x = - 1$
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given the endpoint (5,10) and the midpoint (-5,8), find the other endpo…
$(-15,6)$
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find the distance between the point (1,2) and the point (-4,-1). round …
$5.8$
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given the endpoint (5,0) and midpoint (-3,3). find the other endpoint. …
$(-11,6)$
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find m∠iuv if m∠tuv = 13x + 1, m∠tui = 84°, and m∠iuv = 5x + 5.
$60$
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find the sine, cosine, and tangent of ∠r. simplify your answers and wri…
\(\sin(R)=\frac{45}{53}\) \(\cos(R)=\frac{28}{53}\) \(\tan(R)=\frac{45}{28}\)
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find m∠zji if m∠kjz = x + 53, m∠kji = 176°, and m∠zji = x + 137. answer…
\(130\)
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find the sine, cosine, and tangent of ∠y. simplify your answers and wri…
\(\sin(Y)=\frac{12}{13}\), \(\cos(Y)=\frac{5}{13}\), \(\tan(Y)=\frac{12}{5}\)
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find the sine, cosine, and tangent of ∠x. simplify your answers and wri…
$\sin(X)=\frac{77}{85}$, $\cos(X)=\frac{36}{85}$, $\tan(X)=\frac{77}{36}$
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find x if (mangle vfg=x + 80), (mangle efg = 140^{circ}), and (mangle e…
\(-5\)
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m∠cdl = 38°, m∠cde = 13x + 15, and m∠lde = 11x - 1. find x.
$x = 11$
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solve for m∠rst if m∠rsu = 46° and m∠ust = 41°.
$87^{\circ}$
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find the equation for the circle with center (-4,4) and passing through…
$(x + 4)^2+(y - 4)^2=113$
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if m∠aeb = 72° and m∠ced = 44°, find the m∠bec. answer attempt 1 out of…
$64$
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this is the only question in this section. question solve for x. answer…
$x = \frac{19}{3}$
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solve for m∠abc. answer attempt 1 out of 2 m∠abc =
$115$
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name the figure below in two different ways. symbol: → ←
$\overrightarrow{VJ}$ and $\overrightarrow{VH}$
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jl and gk are perpendicular. find the value of x and m∠gkf if the m∠fkl…
\(x = 18\), \(m\angle GKF=56^{\circ}\)
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read the excerpt from the most dangerous game. he struggled up to the s…
C. A certain cool - headedness had come to him; D. Doggedly he swam in that direction, swimming with slow, deliberate strokes, conserving his strength.
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ab and ec are perpendicular. find the value of x and m < heb if the mea…
\(x = 28\) \(m\angle HEB=56^{\circ}\)
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find the value of x. answer - attempt 1 out of 2 additional solution no…
$10$
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solve for the value of b. answer attempt 1 out of 2 b =
$7$
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solve for the value of b.
$b = 3$
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solve for the value of p.
$p = 21$
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what is the volume of a cube with sides of length 6\? o 6 o 36 o 216 o …
C. 216
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wk//4 act prep solve for x. 3 45 x o 4 o 5 o 3\\sqrt{2} o 2\\sqrt{3}
C. $3\sqrt{2}$
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find the midpoint of the points (2, 7) and (8, 4). (6, 3) (\\frac{11}{2…
C. $(5,\frac{11}{2})$
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draw a line representing the ise\ and a line representing the un\ of th…
\(\frac{2}{3}\)