Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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su and vx are parallel lines. which angles are alternate exterior angle…
$\angle VWY$ and $\angle UTR$
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determine the relationship between the two triangles and whether or not…
The two triangles are related by reflection, so the triangles are congruent.
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determine if the two figures below are congruent. use the drop - down m…
T
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the diagram shows a triangle. what is the value of v? v = □°
\(32\)
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given the two rectangles below. find the area of the shaded region.
40
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using the pencil, plot the reflection of point a across the y - axis.
# Explanation: ## Step1: Recall reflection rule The rule for reflecting a point $(x,y)$ across the $y - axis$ is $(-x,y)$. ## Step2: Assume point A coordinates Let the coordinates…
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the measures of the angles of a triangle are shown in the figure below.…
45
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find the measure of the missing angles.
$b = 100^{\circ}$, $c = 80^{\circ}$
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find the distance between the points (7, 5) and (4, 8). write your answ…
$3\sqrt{2}$ units
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draw a line representing the ise\ and a line representing the un\ of th…
La pendiente se obtiene siguiendo los pasos anteriores y simplificando $\frac{y_2 - y_1}{x_2 - x_1}$. Sin puntos específicos dados en la imagen, no se puede dar un valor numérico.
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find the measure of the side of the right triangle whose length is desi…
28
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find the length of the arc, s, on a circle of radius r intercepted by a…
Exact answer: $\frac{41\pi}{3}$ feet Rounded answer: $42.90$ feet
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proper lighting and a clear view of the food preparation area are impor…
A. Acute
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the local restaurant website includes restaurant reviews and places cus…
Both shapes are quadrilaterals.
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what are the corresponding parts of the figures below? select all that …
$\overline{RP}\cong\overline{XV}$, $\overline{PQ}\cong\overline{VW}$, $\overline{QR}\cong\overline{WX}$, $\angle P\cong\angle V$
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suppose abc is a right triangle with sides a, b, and c and right angle …
$\frac{4}{5}$
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 62\)
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the midpoint of $overline{jk}$ is $m(6,0)$. one endpoint is $j(7,0)$. f…
$(5,0)$
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graph. x ≥ 0 plot the endpoints. select an endpoint to change it from c…
On the given number line, place a closed circle at $x = 0$ and draw a ray extending to the right from that closed circle.
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the measures of the angles of a triangle are shown in the figure below.…
33
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find the x - intercept and the y - intercept of the line below. click o…
(a) None (b) 3
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look at this shape: which image shows a reflection? a b c a b c
B.
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graph the image of △qrs after a reflection over the x - axis.
# Explanation: ## Step1: Recall reflection rule The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$. ## Step2: Identify vertices of $\triangle QRS$ Let's assume…
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graph the image of △stu after a reflection over the x - axis.
Graph the triangle with vertices $S'(-3,3)$, $T'(7,3)$ and $U'(-3,7)$ on the given coordinate - grid.
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given: parallelogram lmno; mo ⊥ ln prove: lmno is a rhombus. statements…
4. All right angles are congruent; 6. Reflexive property of congruence
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margaret is in a boat traveling due west. she turned the boat 50° north…
a. 50 b. alternate interior; congruent
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mo and pr are parallel lines. which angles are alternate exterior angle…
$\angle PQS$ and $\angle ONL$
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in the diagram, sr = 4√2 and qr = √10. what is the perimeter of paralle…
B. $8\sqrt{2}+2\sqrt{10}$ units
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ambe group of schools, vadodara harni, waghodia road & manjalpur englis…
two ### 2. The sum of supplementary angles is 180°. Let the angle be x. If one angle is 45°, then its supplementary angle x = 180°−45° = 135°.
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engineers measure angles in gradients, which are smaller than degrees. …
$1.11$
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the graph represents one side of the roof of a building. the slope of t…
$-\frac{1}{4}$
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solve the inequality and graph 95 > 7 - 88v. plot the endpoints. select…
The solution of the inequality is $v>-1$. On the number - line, we plot an open circle at - 1 (since the inequality is strict, i.e., $v$ is greater than but not equal to - 1) and …
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solve the inequality and graph the s \\(\\frac{f}{2}+2\\leq - 1\\) plot…
The solution of the inequality is $f\leq - 6$. On the number - line, we plot a closed - circle at $-6$ and draw a ray to the left.
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7) practice: making mental images find the midpoint of each segment. sh…
1. $(0,10)$ 2. $(0,5)$
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solve the inequality and graph the solution. -77 ≥ 53 + 65b. plot the e…
The solution of the inequality is $b\leq - 2$. On the number - line, we plot a closed circle at $b = - 2$ (because the inequality is $\leq$) and draw a ray to the left of $-2$ tow…
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solve the inequality and graph the 3 ≥ m/2 - 1 plot the endpoints. sele…
The solution of the inequality is $m\leq8$. To graph, plot a closed - circle at $m = 8$ (since the inequality is $\leq$) and draw a ray to the left.
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vertical segments 5) practice: making mental images and summarizing the…
We know it is a vertical segment because the x - coordinates of its endpoints are equal.
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solve the inequality and graph the solution. 73 + 18r ≥ 37 plot the end…
$r\geq - 2$; On the number - line, plot a closed - circle at $-2$ and draw a ray to the right.
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solve the inequality and graph the -17 < 2t - 9 plot the endpoints. sel…
The solution of the inequality is $t>-4$. On the number - line, we use an open - circle at $t = - 4$ (because the inequality is strict, $t eq - 4$) and draw a ray to the right of…
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solve the inequality and graph the solu -2p + 16 ≥ 8 plot the endpoints…
The solution of the inequality is $p\leq4$. On the number - line, we plot a closed circle at $p = 4$ (because the inequality includes equality) and draw a ray to the left of 4.
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solve the inequality and graph the sol -13 ≤ 8u + 19 plot the endpoints…
The solution of the inequality is $u\geq - 4$. On the number - line, we plot a closed circle at $u = - 4$ (because the inequality is $\geq$) and draw a ray to the right.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\leq2$ Number Line: Draw a number - line. Mark a closed circle at 2 (since the inequality is $\leq$) and shade the line to the left of 2.
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solve the inequality and graph it. -6 > 12 + 18w. plot the endpoints. s…
The solution of the inequality is $w < - 1$. On the number - line, place an open - circle at $-1$ and draw a ray to the left.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x>3$ Number Line: Draw an open - circle at 3 on the number line and shade the line to the right of 3.
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solve the inequality and graph -18 + 17w < 16. plot the endpoints. sele…
The solution of the inequality is $w<2$. On the number - line, use an open - circle at 2 and draw a ray to the left.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x>5$ Number Line: An open - circle at 5 and a line extending to the right.
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reflect the figure over the line y = x - 3. plot all of the points of t…
Plot the points obtained by using the transformation $(x,y)\to(y + 3,x - 3)$ for each vertex of the original figure.
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solve the inequality. -2d - 2 < 3d + 8 solution: graph the solution.
\(d > - 2\) (On the number - line, an open - circle at \(-2\) and an arrow pointing to the right)
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the diagram shows isosceles trapezoid lmnp. it also shows how line segm…
$80^{\circ}$
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figure abcd is a parallelogram. what are the lengths of line segments a…
AB = 10; BC = 28
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figure cdef is a parallelogram. which equations are correct? select thr…
A. $n = 10$ C. $CF = 59$ D. $FE = 42$
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what is the perimeter of kite wxyz? 2√53 + 2 units 2√53 + 5 units 2√53 …
$2\sqrt{53}+10$ units
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the perimeter of parallelogram wxyz is 50 millimeters. what is wz? 2 mm…
$2$ mm
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kite fghik is shown. what is the value of m? o m=2 o m=3 o m=15 o m=16
\(m = 3\)
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solve the inequality and graph 1 > \\frac{h}{4}-1 plot the endpoints. s…
The solution of the inequality is $h < 8$. On the number - line, we plot an open circle at 8 (since the inequality is strict, $h$ cannot equal 8) and draw a ray to the left of 8.
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figure abcd is a parallelogram. what is the value of x? 6 7 8 9
7
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finally, you want to make your own storage box to hold all of your stre…
$31.5$ ft²
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you realize theres room in your design for another shape, so you choose…
$84^{\circ}$
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now that youve selected a desired shape, you begin to sketch some diffe…
$48.00$ cm
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now, to make sure all of your videos attract an increase in viewership,…
B. Equilateral triangle
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in parallelogram wxyz, what is cy? (x + 4) ft (2x - 7) ft 11 ft 15 ft 2…
15 ft
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rhombus lmno is shown with its diagonals. angle mno measures 112°. what…
D. $68^{\circ}$
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if quadrilateral abcd is an isosceles trapezoid, which statements must …
$\overline{BC}\parallel\overline{AD}$, $\overline{BA}\cong\overline{CD}$, $\overline{BE}\cong\overline{ED}$
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what is the perimeter of rectangle efgh? o $sqrt{10}+sqrt{29}$ units o …
B. $2\sqrt{10}+2\sqrt{29}$ units
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if you can obtain more than 1,000 followers on your social media accoun…
The given number line is incorrect. A correct number line would have an open - circle at 1000 and an arrow pointing to the right.
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graph. x ≥ -7 plot the endpoints. select an endpoint to change it from …
On the given number line, place a closed circle at $-7$ and draw a ray extending to the right from $-7$.
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the dimensions of a sailboats mainsail are shown below. what is the hei…
C. 30 feet
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computer monitor measurements are typically classified by the diagonal …
C. 20 inches
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how high up the wall can a 12 - foot ladder reach if its base is 4 feet…
$11.3$ feet
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value: 2 find the length of the missing side using the pythagorean theo…
d. 8.4
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efgh is a rhombus. given eg = 16 and fh = 12, what is the length of one…
C. 10 units
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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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in this section, youll solve problems involving surface area, perimeter…
We need more information about the shape and its dimensions to determine the area.
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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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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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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.
52