幾何
三角形、圓、解析幾何與證明題。
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in the parallelogram shown, ae = t + 2, ce = 3t - 14, and de = 2t + 8. …
48 units
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what are the missing angle measures in parallelogram rstu? o m∠r = 70°,…
m∠R = 110°, m∠T = 70°, m∠U = 110°
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match the picture of the triangle to the correct name for its center. a…
a. Centroid b. Orthocenter
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abcd is a square. what is the measure of angle bac? 30° 45° 60° 90°
B. $45^{\circ}$
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value: 8 match the type of center to the segments used to it a. medians…
1. a. Medians 2. c. Angle Bisectors 3. d. Altitudes 4. b. Perpendicular Bisectors
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which statement proves that △xyz is an isosceles right triangle? ○ xz i…
The slope of $\overline{XZ}$ is $\frac{3}{4}$, the slope of $\overline{XY}$ is $-\frac{4}{3}$, and $XZ = XY = 5$.
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select the correct equation and correct answer to solve for x using the…
a. $2(2x - 15)=2x - 8$ e. $11$
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figure cdef is a parallelogram. what is the value of r? 2r + 12 10r - 2…
D. 5
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once you complete all these preparations, you scan the room and notice …
$1,059.8$ $cm^{3}$
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value: 2 true or false? in the triangle below, side $overline{lm}$ is p…
False
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once youve covered the panel with fabric, youll outline the shape with …
22 ft
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what equation would you set up to solve for x? a. x + 20 = x + 28 b. 2(…
B. $2(x + 20)=x + 28$
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in this section, youll solve problems involving surface area, perimeter…
$24$ square feet
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solve for x. 2x -10 + 2x m s l ○ a. 10 ○ b. 12 ○ c. 3 ○ d. 8
A. 10
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the perimeter of a square is 56 cm. what is the approximate length of i…
D. 19.8 cm
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you ordered a desk that will fit the space, and also finished painting …
50 ft
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find tv. a. 6 b. 24 c. 12 d. 48
B. 24
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in quadrilateral abdc, (overline{ab}paralleloverline{cd}). which additi…
\(AB\cong CD\) (corresponding to the first option in the multiple - choice list)
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while waiting for the paint to dry, you start shopping for a large desk…
$0.84\ m^{2}$
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find uv. 16 a. 8 b. 16 c. 32 d. 4
A. 8
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solve the inequality. \\(\\frac{p}{-8}-\\frac{2}{5}>\\frac{8}{5}\\) sol…
$p < - 16$ The graph should have an open - circle at $-16$ and an arrow pointing to the left.
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find tr s e f 11 t r a. 5.5 b. 11 c. 22 d. 33
C. 22
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in this section, youll solve problems involving surface area and perime…
556 square feet
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the equipment you use for your streaming setup needs to be easy to stor…
D. $25,000$ $cm^{3}$
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customers always want to know how much food theyre getting when they pl…
$423.9$ $cm^{3}$ (Note: The options in the original question have incorrect units as they are in $cm^{2}$ instead of $cm^{3}$, but the numerical value of the correct - calculated …
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a partial proof was constructed given that mnop is a parallelogram. by …
∠N≅∠P
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sofia cuts a piece of felt in the shape of a kite for an art project. t…
21 cm
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in this section, youll understand how to calculate the area and volume …
74.1 $cm^{2}$
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complete the proof to show that abcd is a parallelogram. bc || ad and c…
slopes of opposite sides are equal
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given the two rectangles below. find the area of the shaded region.
62
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in parallelogram lmno, mp = 21 m, lp=(y + 3) m, np=(3y - 1) m, and op=(…
$x = 11$ m, $y = 2$ m
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question 9 (11.12 points) listen the last step before going live is sel…
C. Three
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a video that you posted shows you preparing an order of nachos. you pre…
40 cm
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given the two rectangles below. find the area of the shaded region. ans…
75
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in this section, youll solve problems involving geometric measurements.…
D. \(70^{\circ}\)
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youre building a backdrop so there wont be distractions in the backgrou…
Line AB is perpendicular to line CD if their intersection forms a right angle.
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proper lighting and a clear view of the food preparation area are impor…
A. Acute
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in this section, youll solve problems involving geometric constructions…
D. Square
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the local restaurant website includes restaurant reviews and places cus…
Both shapes are quadrilaterals.
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for the taco trucks icon on a local restaurant site, you must include a…
The triangle
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in this section, youll identify, classify, and analyze shapes by their …
B. Rhombus
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which of the following sequences of transformations maps △xyz onto △abc…
Sequence A
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what is the measure of angle abd in trapezoid abcd? 24° 40° 64° 92°
40°
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solve the inequality. -8 > -3t - 10 solution: graph the solution.
$t >-\frac{2}{3}$ The graph has an open - circle at $-\frac{2}{3}$ and the line extends to the right.
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when opening a door, the actual image on your retina changes drasticall…
B. shape
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5) practice: making mental images and summarizing the endpoints of a se…
The segment is vertical because the \(x\) - coordinates of its endpoints \((0,10)\) and \((0,20)\) are equal.
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practice: making mental images find the midpoint of each segment. show …
1. $(10,0)$ 2. $(5,0)$
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2) practice: making mental images and summarizing the endpoints of a se…
The segment is horizontal because the y - coordinates of its endpoints \((10,0)\) and \((20,0)\) are the same.
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slope of one of the dotted lines: $\frac{-2}{-5}$ slope of the line of …
$-\frac{5}{2}$
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now write the slope of the line of reflection and any dotted line. slop…
$\frac{1}{2}$
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1) practice: summarizing fill in the blanks in the definition. the midp…
equidistant; endpoints
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9/10/25 exit ticket - solving equations the formula for the area of a t…
$\frac{2A}{h}=b$
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figure abcd is a parallelogram. what is the value of p? (4p + 12)° 36° …
6
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triangle rst and triangle pqt are drawn below. if $overline{rs}congover…
A rotation about point $T$; $\triangle RST\cong\triangle PQT$ by the SAS congruence criterion.
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triangle fgh and triangle fbh are drawn below. if $overline{fh}congover…
The transformation is a reflection over the line $FH$. The congruence statement is $\triangle FGH\cong\triangle FBH$ by ASA.
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triangle qrs and triangle fgs are drawn below. if $overline{qs}congover…
A rotation about point S maps △QRS onto △FGS because △QRS≅△FGS by SSS.
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triangle vwx and triangle nwo are drawn below. if $overline{vw}congover…
The transformation is a rotation about point $W$. The congruence statement is $\triangle VWX\cong\triangle NWO$ by the SAS congruence criterion.
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triangle uvw and triangle uvn are drawn below. if $overline{uv}congover…
The transformation is a reflection over the line containing $\overrightarrow{UV}$. The congruence statement is $\triangle UVW\cong\triangle UVN$ by SAS.
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triangle ijk and triangle efk are drawn below. if $overline{ij}congover…
A rotation about point K; $\triangle IJK\cong\triangle EFK$ by ASA.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by congruence, so the triangles are congruent.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by congruence, so the triangles are congruent.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by the Hypotenuse - Leg (HL) congruence criterion, so the triangles are congruent.
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determine the relationship between the two triangles and whether or not…
The two triangles are related by rotation, so the triangles are congruent.
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which statement proves that pqrs is a parallelogram? the slopes of sp a…
The slopes of $\overline{SP}$ and $\overline{RQ}$ are both $- 2$ and $SP = RQ=\sqrt{45}$.
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juanita is cutting a piece of construction paper in the shape of a para…
B. 4 cm and 7 cm
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figure abcd is a square. prove bd ≅ ac. statements reasons 1. abcd is a…
all sides of a square are congruent
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find the slope of the line graphed below.
$-\frac{3}{2}$
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rhombus lmno is shown with its diagonals. angle mlo measures 112°. what…
56°
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look at the diagram. which equation can be used to solve for x? 2x = 52…
# Explanation: ## Paso 1: Identificar ángulos congruentes Observamos que los ángulos de $52^{\circ}$ y $(12x - 10)^{\circ}$ son ángulos opuestos por el vértice y son congruentes. …
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in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm
$9$ cm
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what is the perimeter of square abcd? o $sqrt{37}$ units o $4sqrt{37}$ …
$4\sqrt{37}$ units
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find the value of x. x =
$71$
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hijk is a parallelogram because the midpoint of both diagonals is _, wh…
$(1,0)$
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the diagonals of a parallelogram are congruent. which could be the para…
B. rectangle
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find the value of x. 117° x =
# Explicación: ## Paso1: Saber que la suma de ángulos en un punto es 360°. $$117+(x - 2)+(x - 2)+(x - 2)=360$$ ## Paso2: Simplificar la ecuación. $$117 + 3(x - 2)=360$$ $$117+3x-6…
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which concept can be used to prove that the diagonals of a parallelogra…
congruent triangles
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figure wxyz is a parallelogram. which angle measures are correct? selec…
$m\angle X = 55^{\circ}$, $m\angle W = 55^{\circ}$, $m\angle Z = 55^{\circ}$
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what is the measure of angle o in parallelogram lmno? (x + 40)° (3x)° o…
$105^{\circ}$
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given: abcd is a kite. prove: bd bisects ac. what is the missing reason…
corresponding parts of congruent triangles are congruent
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the angle measures of quadrilateral rstu are shown. m∠r=(2x)° m∠s=(3x -…
No, if \(x = 35\), all three given angles measure \(70^{\circ}\). The fourth angle would measure \(150^{\circ}\).
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a grid map marks the plot of harolds garden in meters. the coordinates …
46
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which statement proves that quadrilateral hijk is a kite? ○ $overline{h…
IH = IJ = 3 and JK = HK = $\sqrt{29}$, and IH ≠ JK and IJ ≠ HK.
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prove the diagonals of the square with vertices p(0, 4), q(4, 4), r(0, …
The slope of diagonal PS is - 1. The slope of diagonal QR is 1. The midpoint of PS is (2,2). The midpoint of QR is (2,2). The diagonals of the square are perpendicular bisectors b…
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1) solve for k and graph the solution. 4 < k - 7 < 11 1) plot the endpo…
The solution for k is $11 < k<18$. On the number - line, we use open - circles at 11 and 18 (since the inequality is strict, i.e., $k$ cannot equal 11 or 18) and draw a line segme…
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prove that the diagonals of kite uvwx are perpendicular. step 1: determ…
The slope of $\overline{XV}$ is $\frac{2}{3}$, the slope of $\overline{UW}$ is $-\frac{3}{2}$, the slopes of the diagonals are negative reciprocals, the diagonals of kite $UVWX$ a…
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calculating the perimeter of a rhombus the vertices of rhombus defg are…
20
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1) solve for s and graph the solution. 3 > s - 2 ≥ -1 2) plot the endpo…
The solution of the inequality is $1\leq s<5$. On the number line, place a closed circle at 1 and an open circle at 5 and draw a line segment connecting them.
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solve for q and graph the solution. $\frac{q + 18}{3}leq6$ or $5q-19geq…
The solution of the inequality is $q\leq0$ or $q\geq4$. On the number - line, place a closed circle at 0 and draw a ray to the left, and place a closed circle at 4 and draw a ray …
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which steps will verify that a parallelogram is a rectangle? check all …
Calculate the lengths of the diagonals, and show that they are equal. Calculate the slopes of every side, and show that adjacent sides are perpendicular.
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solve for a and graph the solution. 2 ≥ (5a + 6)/3 > -3 plot the endpoi…
The solution is $-3 < a\leq0$. To graph, place an open - circle at $a=-3$ (because $a > - 3$) and a closed - circle at $a = 0$ (because $a\leq0$) and draw a line segment between t…
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calculating the perimeter of a triangle. triangle abc is an isosceles t…
10 + \(\sqrt{10}\) units
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mary thinks the triangle is equilateral. how would you support or dispu…
C. Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
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follow these steps to prove the given quadrilateral is a parallelogram.…
5
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follow these steps to prove the given quadrilateral is a parallelogram.…
$\frac{4}{3}$
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follow these steps to prove the given quadrilateral is a parallelogram.…
\(\frac{4}{3}\)
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the measures of the angles of a triangle are shown in the figure below.…
$x = 26^{\circ}$
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the measures of the angles of a triangle are shown in the figure below.…
46
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the measures of the angles of a triangle are shown in the figure below.…
45
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question one of the legs of a right triangle measures 3 cm and the othe…
\(18.2\) cm
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numerical reasoning section the following questions will allow us to as…
25 ### 2. Second question