Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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which angles are vertical angles? ∠kjh and ∠lmj ∠kjh and ∠lmo ∠kjh and …
$\angle KJH$ and $\angle IJM$
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which angles are alternate exterior angles? ∠utr and ∠vwy ∠str and ∠utr…
\(\angle UTR\) and \(\angle VWY\)
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sanjay is designing a flag. if m∠2 = 108°, then the measure of the adja…
72, 108
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which angles are supplementary angles? ∠hge and ∠fge ∠hge and ∠fgj ∠hge…
∠HGE and ∠FGE
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which angles are corresponding angles? ∠ghe and ∠fec ∠ghe and ∠feh ∠ghe…
∠GHE and ∠DEC
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which angles are corresponding angles? ∠pol and ∠mlj ∠pol and ∠klo ∠pol…
$\angle POL$ and $\angle MLJ$
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in the figure, $overrightarrow{cd}$ and $overrightarrow{cb}$ are opposi…
68
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which angles are consecutive interior angles? ∠jil and ∠mli ∠hig and ∠h…
\(\angle JIL\) and \(\angle MLI\)
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bd and eg are parallel lines. which angles are supplementary angles? ∠g…
$\angle GFH$ and $\angle GFC$
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select all of the angles for which $overrightarrow{ha}$ and $overrighta…
C. ∠AHE, E. ∠EHA
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qs and tv are parallel lines. which angles are corresponding angles? ∠q…
∠QRP and ∠TUR
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ln and oq are parallel lines. which angles are vertical angles? ∠qpm an…
$\angle QPM$ and $\angle OPR$
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rhombus lmno is shown with its diagonals. the length of $overline{ln}$ …
14 cm
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oq and rt are parallel lines. which angles are corresponding angles? ∠t…
∠TSP and ∠QPN
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oq→ and rt→ are parallel lines. which angles are supplementary angles? …
∠RSU and ∠RSP
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jl and mo are parallel lines. which angles are supplementary angles? ∠j…
$\angle{JKI}$ and $\angle{JKN}$
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in the graph below, points p, q, and r are on the circle, and $overline…
A. $\sqrt{58}$ B. $(\frac{1}{2},-\frac{1}{2})$ C. $y=\frac{5}{2}x-\frac{7}{4}$
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select all statements that are true about the line segments that would …
# Explicación: ## Paso 1: Analizar las propiedades de transformaciones rigidas En una transformación rígida (traslación, rotación, reflexión), las longitudes de los segmentos de l…
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su and vx are parallel lines. which angles are corresponding angles? ∠x…
∠XWT and ∠STR
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in the diagram, lines m and n are parallel, and the angles have the mea…
\(62^{\circ}\)
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lines p and q are intersected by transversal t as shown. what value of …
$12$
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at the intersection of davis and peachtree a 65 degree angle is formed …
65
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1) ∠1 and ∠2 form a linear pair. if ∠1 = 115°, find ∠2 2) two adjacent …
# Explanation: ## Step1: Recall linear - pair property The sum of angles in a linear pair is 180°. Given ∠1 = 115°, let ∠2 be the unknown angle. Then ∠1+∠2 = 180°. So, ∠2=180° - ∠…
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what is the x - intercept(s) of the graph? a 0 b -5 and - 1 c -2 and - …
B. -5 and -1
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5c) what are the area and perimeter of this shape? 6) if this equiangul…
Perimeter: $2\pi + 4\approx10.28$ inches Area: $4+\pi\approx7.14$ square inches
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which of the following is true about the values of the graph? a the gra…
A. The graph has a maximum of 4 when $x=-3$
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∠g and ∠f are supplementary and ∠h and ∠f are supplementary. complete t…
5. Transitive property of equality; 6. Subtraction property of equality
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5a - b) what are the area and perimeter of each of these shapes? 5c) wh…
First shape: Perimeter $\approx12.28$ in, Area $\approx7.14$ in² Circle: Perimeter $\approx37.68$ cm, Area $\approx113.04$ cm² Triangle: Perimeter $\approx15.4$ units, Area $ = 10…
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in the figure below, triangle qrt, triangle rsq, and triangle qst are s…
B. $87^{\circ}$
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what is the pre - image of vertex a created the image is r_y - axis(x, …
There seems to be an error in the options as the correct pre - image of a point $(2,4)$ (assuming $A'$ has coordinates $(2,4)$) under $y$-axis reflection should be $(-2,4)$ which …
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in the figure below, m∠jsr = 57° and m∠sln = 79°. what is m∠lns? a. 44°…
A. \(44^{\circ}\)
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ame: mailevy supoin 1. -1 quiz geometry: mr. mill part 1 - use the diag…
1. Lines $m$ and $t$ 2. 2 3. Point $G$ 4. Point $H$ 5. Point $P$ (among others) 6. Points $D$, $C$, $Y$ (among others) 7. Line $AB$
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pq ⊥ qr and tu ⊥ st. complete the proof that ∠pqr ≅ ∠stu. statement\tre…
The reason for statement 6 is "Definition of congruent angles".
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in the figure below, trapezoid wxyz is isosceles, with $overline{wz}con…
A. \(27^{\circ}\)
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in the figure below, pentagon rstyz is a regular polygon and m∠rst = 10…
B. 137°
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1. estimate the length of each line segment from its graph. then, calcu…
The exact length of the line - segment $AB$ is $\sqrt{17}\approx4.123$.
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complete the proof that ∠ptq≅∠rts. statement reason 1 m∠ptq + m∠qtr = 1…
The reason for statement 2 is "Angles forming a linear pair sum to $180^{\circ}$" as $\angle QTR$ and $\angle RTS$ form a linear pair.
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1. use the diagram below to answer the following questions. a) name all…
a) $\overline{ZY}$, $\overline{WU}$, $\overline{VS}$ b) $\overline{XT}$, $\overline{WU}$, $\overline{VS}$ c) $\overline{XT}$, $\overline{ZY}$, $\overline{WU}$ d) plane $WXYZ$ e) p…
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in the figure below, triangle abc is an equilateral triangle, and quadr…
C. \(30^{\circ}\)
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wx ⊥ vw and tu ⊥ st. complete the proof that ∠stu ≅ ∠vwx. statement rea…
Definition of congruent angles
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what is the x - intercept(s) of the graph? a 0 b -5 and -1 c -2 and -1 …
B. -5 and -1
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what is the y - intercept of the graph? a 0 b -1 c -2 d -5
C. -2
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select all true statements if n || m. a m∠2 = 60 b m∠3 = 100 c m∠2 + m∠…
A. \(m\angle2 = 60\) (True) B. \(m\angle3 = 100\) (False) C. \(m\angle2 + m\angle4 = 80\) (False) D. \(m\angle2 + m\angle3 = 80\) (False) E. \(m\angle2 = 20\) (False) So the only …
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for all of the problems on this quiz, you must show evidence of your th…
1a) The basketball hoop needs to be lowered by 0.1 ft. 1b) The length of line segment AB is 39.
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a reflexive pronoun refers to a noun or another pronoun and indicates t…
1. The puppy scared $\underline{itself}$ by watching its shadow. 2. You $\underline{yourselves}$ can lead the singing tonight. 3. He bought $\underline{himself}$ a computer at the…
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complete the mapping of the ver d(2, -4) → d e(1, -1) → e f(5, 1) → f w…
$D(2,-4)\to D'(-4,2)$ $E(1,-1)\to E'(-1,1)$ $F(5,1)\to F'(1,5)$ $r_{y = x}(x,y)\to(y,x)$
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identify two angles that are marked congruent to each other on the diag…
∠IEH is congruent to ∠HFI
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1. use the information on pages 130 - 131 to answer the following quest…
1. a. Mount Kilimanjaro b. Madagascar c. Nile River d. Algeria e. Nigeria 2. a. T b. F c. F d. T e. F
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meena has a pair of blue jeans with the design below on its back pocket…
C. acute equilateral triangle
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in triangle xyz, the length of side xy is 25 mm and the length of side …
D. 39 mm
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4. draw a line perpendicular to the given line and through the given po…
The perpendicular line is drawn as described in the steps above.
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a triangle has 2 sides that equal 5 inches. the other side equals 4 inc…
B. isosceles triangle
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how many triangles exist with the given side lengths? 7 in, 7 in, 7 in …
C. Exactly one unique triangle exists with the given side lengths.
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a triangle has one angle that measures 17 degrees, one angle that measu…
C. obtuse triangle
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in the figure ab is parallel to cd. find the values of ∠1, ∠2 and ∠3
$\angle1 = 80^{\circ}$, $\angle2 = 100^{\circ}$, $\angle3 = 80^{\circ}$
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12. equation: ____
$y=x$
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which figure shows line v as a perpendicular bisector of nz?
C
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17 look at the diagram below. given m∠1 = 30° use your knowledge of ver…
$m\angle2 = 150^{\circ}$ $m\angle3 = 30^{\circ}$ $m\angle4 = 150^{\circ}$
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what are the coordinates of the image of vertex p after a reflection of…
$P'(-7,4)$
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19 given ∠1 and ∠2 are a linear - pair. • m∠1=x - 15 • m∠2=x + 77 find …
B. $m\angle1 = 44^{\circ},m\angle2 = 136^{\circ}$
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the term for a part of a line that has one endpoint and goes on forever
Ray
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classify the angle pair as corresponding, alternate interior, alternate…
B. Alternate Interior Angles
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13 choose the angles which are adjacent to ∠3? select all that apply. a…
A. ∠2, B. ∠4
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what are the coordinates of the midpoint of the line segment with endpo…
(-1, 0.5)
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use the angle addition postulate to find the value of x, then find the …
\(x = 7.6\) \(m\angle NBS=137.2\) degrees
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use the segment addition postulate to find the length of $overline{st}$…
27
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10 classify each angle pair as alternate exterior, alternate interior, …
Without seeing the actual angle - pairs in the image (since no specific angle - pair information is given in text), we cannot provide a specific classification. But the general me…
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solve the following inequality. graph the solution set and write it in …
The solution set in interval notation is \((-\infty,1)\). The correct graph is the one with an open - circle at \(x = 1\) and an arrow pointing to the left. Without seeing the exa…
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graph the inequality below on the number line. a≥ - 3
Place a closed - circle at -3 on the number line and shade to the right of -3.
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write the standard form of the equation of the circle with the given ce…
$(x - 1)^2+(y - 3)^2=7$
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graph the inequality below on the number line. y≤ - 4
On the number line, place a closed - circle at $-4$ and draw an arrow to the left.
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find the perimeter of the figure below. notice that one side length is …
54 ft
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what is the value of z?
$175.7$
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graph the inequality below on the number line. x > 8
On the number line, place an open - circle at 8 and draw an arrow to the right of 8.
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plot each point and form the right triangle abc. verify that the triang…
$d(A,B)=3\sqrt{10}$ $d(A,C)=3\sqrt{5}$ $d(B,C)=3\sqrt{5}$ Area of $\triangle ABC=\frac{45}{2}$
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lesson 1.3 checkpoint once you have completed the above problems and ch…
The image of D(-4, 3) is D'(-2,-1), the image of E(2, 3) is E'(1,-1), and the image of F(4, 1) is F'(2,-3). The transformation \((x,y)\to(0.5x,y - 4)\) is not a rigid motion becau…
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for the following right triangle, find the side length x.
17
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graph this function. $f(x)=\\begin{cases}-\\frac{1}{2}x - 3&\\text{if }…
To graph the function, plot points \((-2,-2)\), \((-4,-1)\) for \(y =-\frac{1}{2}x - 3\) (\(x < 0\)) with an open - circle at \((0,-3)\) and points \((0,-3)\) (closed - circle), \…
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graph this function. $f(x)=\\begin{cases}-4x&\\text{if }x\\leq - 1\\4x …
Plot the points as described above to graph the piece - wise function. For $y=-4x$ with $x\leq - 1$, plot points such as $(-2,8),(-1,4)$ (closed - circle at $(-1,4)$). For $y = 4x…
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | |--|--| | m∠1 = 120° | Vertical - Angles Theorem | | m∠2 = 60° | Linear - Pair Postulate | | m∠3 = 60° | Vertical - Angles Theorem | | m∠4 = 120° | Ver…
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{19}{4}$
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determine a series of transformations that would map figure d onto figu…
translation
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follow the steps to find the surface area of the square prism. what is …
Top and bottom: $18$ $cm^2$ Front and back: $48$ $cm^2$ Sides: $48$ $cm^2$ Total SA: $114$ $cm^2$
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find the surface area of the prism using the net. what is the area of t…
Front and back triangles: $32$ $cm^2$ Side rectangles: $144$ $cm^2$ Bottom rectangle: $36$ $cm^2$ Surface Area: $212$ $cm^2$
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graph the inequality below on the number line. a≥6
Draw a closed - circle at 6 and an arrow to the right on the number line.
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determine a series of transformations that would map figure d onto figu…
180° clockwise
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complete the square and write the given equation in standard form. then…
$(x + 2)^{2}+(y - 2)^{2}=25$
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find the surface area of this cylinder. use 3.14 for π. do not round yo…
Both Circles: $56.52$ $cm^{2}$ Rectangle: $113.04$ $cm^{2}$ Total SA: $169.56$ $cm^{2}$
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos adyacentes Los ángulos $\angle LMO$ y $\angle LMJ$ son ángulos adyacentes y forman un ángulo llano. Un ángulo llano mide $180^{\circ}…
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$122$
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22) find x.
$x = 17$
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find the area of the shape. (sides meet at right angles.) square centim…
17
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | | ---- | ---- | | $m\angle1 = 120^{\circ}$ | Vertical - Angles Theorem | | $m\angle2 = 122^{\circ}$ | Vertical - Angles Theorem | | $m\angle3 = 60^{\ci…
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polygon q is a scaled copy of polygon p. what is the value of r?
2
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quadrilateral b is a scaled copy of quadrilateral a. what is the value …
$10.2$
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determine a series of transformations that would map figure d onto figu…
rotation followed by a translation
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in the rectangular prism shown below, which lines are skew? q u and u x…
$\overrightarrow{ST}$ and $\overrightarrow{RV}$
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in the cube shown below, which lines are intersecting? select all that …
$\overrightarrow{DE}$ and $\overrightarrow{EI}$, $\overrightarrow{BC}$ and $\overrightarrow{CG}$, $\overrightarrow{CG}$ and $\overrightarrow{FG}$
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in the triangular pyramid shown below, which lines are skew? select all…
$\overrightarrow{JM}$ and $\overrightarrow{KL}$, $\overrightarrow{JL}$ and $\overrightarrow{KM}$
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in the rectangular prism shown below, which lines are parallel? select …
$\overleftrightarrow{KO}$ and $\overleftrightarrow{LP}$, $\overleftrightarrow{KL}$ and $\overleftrightarrow{MP}$