Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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in the given figure, which lines are parallel? justify your answer. a. …
A. MA||DC por el Converso del Alternate Interior Angles Theorem
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find the measure of angle 5. 103° 5x + 3 2 3 6 8 5 7
$77^{\circ}$
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question 2 the length of each edge of a box is 29 inches. each side of …
4205
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construct a line through p parallel to l. (hint: copy either ∠pca or ∠p…
# Explicación: ## Paso 1: Comprender el teorema de ángulos correspondientes Los ángulos correspondientes son iguales cuando dos líneas son paralelas y se cortan por una transversa…
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solve for x and graph the solution on the number line below. -72 > -9x …
> $x>8$ On the number - line, you would place an open circle at 8 (since 8 is not included in the solution) and shade to the right of 8.
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in the rectangular prism, each small cube has edges that are $\frac{1}{…
C. 2 inches
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in triangles abc and def, angles b and e each have measure 27° and angl…
C. The lengths of sides $BC$ and $EF$
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the perimeter of an equilateral triangle is 624 centimeters. the height…
104
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question 1 a cube has an edge - length of 68 inches. a solid sphere wit…
A. 149,790
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first find the slope, $\frac{y_2 - y_1}{x_2 - x_1}$, of line $l_1$. $l_…
$m =-\frac{1}{2}$
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question 10 a circle in the xy - plane has a diameter with endpoints (2…
$5$
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the figure shows the lengths, in inches, of two sides of a right triang…
$7.5$
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question 8 note: figure not drawn to scale. in the figure shown, line c…
\(x = 70^{\circ}\)
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question 3 the circle shown has center o, circumference 144\\pi, and di…
B. $48\pi$
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what is the mid - point for a segment with the following endpoints? (4,…
- Mid - point for \((4,5)\) and \((10,-3)\): \((7,1)\) - Mid - point for \((-2,-3)\) and \((-11,20)\): \((-6.5,8.5)\) - Length between \((1,6)\) and \((7,14)\): \(10\) - Length be…
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given (lparallel mparallel n), find the value of (x).
\(x=\frac{43}{9}\)
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a right triangle has legs with lengths of 11 centimeters and 9 centimet…
B. \(\sqrt{202}\) ### Question 13
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determine whether the lines $l_1$ and $l_2$ passing through the pairs $…
2
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what is the mid - point for a segment with the following endpoints? (4,…
7. Mid - point: (7,4) 8. Mid - point: (-6.5,6) 9. Length: 10 10. Length: 13
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what is the area of triangle rst? 6 square units 12 square units 18 squ…
6 square units
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1 write an expression for the area of the rectangle below. a.) area = (…
$3x^{2}+11x + 6$
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triangle congruence. which rigid transformation would map △abc to △abf?…
a reflection across the line containing $\overline{BA}$
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which statement proves that pqrs is a parallelogram? the midpoint of rp…
The slopes of $\overline{SP}$ and $\overline{RQ}$ are both $- 2$ and $SP = RQ=\sqrt{45}$.
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one leg of a right - triangle has a length of 43.2 millimeters. the hyp…
C. 192
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fill in the area of the missing dimensions and areas of the rectangles …
$2x^{2}-4x + 2$
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nessa proved that these triangles are congruent using asa. roberto prov…
$\angle A\cong\angle Q$ because of the third angle theorem.
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1 write an expression for the area of the rectangle below. a.) area = (…
$3x^{2}+11x + 6$ ### 2.
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problem #2 - unit 1 (mild) which sequence of transformations maps abcd …
4) a translation followed by a reflection
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8. what was one outcome of bacon’s rebellion? choose the best answer. a…
8. a. A new governor was chosen to lead Virginia. 9. a. The colonists continued to move onto Powhatan lands. d. The colonists attacked villages, and the Powhatans also attacked co…
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could △abc be congruent to △adc by sss? explain. no, because $overline{…
Yes, but only if $\overline{BC}\cong\overline{DC}$
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what is the perimeter of kite klmn? √2 + √5 units 4√5 units √14 units 2…
$2\sqrt{2}+2\sqrt{5}$ units
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solve the inequality and graph the solution on the line provided. 8x - …
$\geq$, $x\geq - 8$ To graph on the number - line, put a closed circle at - 8 (because the inequality is $\geq$) and draw an arrow to the right.
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triangle rst is rotated 180° about the origin, and then translated up 3…
A. \(\triangle RST\cong\triangle ABC\)
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the circle graph shows the most important problems for the 11,109,231 h…
B. 2,200,000
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which best explains whether or not triangles rst and acb are congruent?…
The figures are congruent. $\triangle RST$ can be mapped to $\triangle ACB$ by a reflection over the $x$-axis and a translation 2 units to the left.
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statement reason 1 $overleftrightarrow{rt}paralleloverleftrightarrow{jk…
3. Corresponding angles postulate; 4. Same - side interior angles theorem; 5. Substitution property.
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triangle congruence given: hf || jk; hg ≅ jg prove: △fhg ≅ △kjg to prov…
$\angle FGH\cong\angle KGJ$ because vertical angles are congruent.
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statement reason 1. $overleftrightarrow{su}paralleloverleftrightarrow{f…
Corresponding Angles Theorem
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galina is finding the area of triangle rst. to do so, she follows the s…
4 units by 5 units
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how can △abc be mapped to △xyz? first, translate. next, rotate △abc abo…
vertex A to vertex Y
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problem #2 - unit 1 (mild) which sequence of transformations maps abcd …
3) a translation followed by a rotation
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name______ cohort______ grade 8: week of 9/15, math hw - due septem dir…
2) a rotation of 90° counterclockwise about the origin followed by a translation down 7 units
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the sections of song of myself approach one subject from several differ…
It corresponds to the idea that the self is all - encompassing.
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b) explain or complete a construction that would guarantee a line that …
# Explanation: ## Step1: Draw arcs from A and B With the same radius, draw arcs centered at A and B that intersect the line AB at points (say) E and F respectively. ## Step2: Draw…
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use the data below to answer each question. use the shape tool to circl…
1. A. \(r=\sqrt{\frac{V}{\pi h}}\) 2. C. \(h=\frac{V}{\pi r^{2}}\) 3. \(1.3\mathrm{cm}\)
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circumference 17.24 ft 15 in 31.34 cm 75.36 ft find the radius radius d…
For $C = 17.27$ ft: radius is $2.75$ ft, diameter is $5.5$ ft. For $C = 31.34$ cm: radius is approximately $5$ cm, diameter is $10$ cm. For $C = 75.36$ ft: radius is $12$ ft, diam…
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the formula shown can be used to find the missing side length of a righ…
a. $a=\sqrt{c^{2}-b^{2}}$ b. 8 inches
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jamal places 1 - centimeter cubes in pairs. then he uses the pairs of c…
242 square centimeters
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question draw in all lines of symmetry in the shape below. if there are…
Draw 5 lines of symmetry, each passing through a vertex and the mid - point of the opposite side of the pentagon.
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circumference 74.24 ft 15 in 31.34 cm 75.36 ft find the radius radius d…
For $C = 74.248$ ft: radius is $11.8$ ft, diameter is $23.6$ ft. For $C = 31.344$ cm: radius is $5$ cm, diameter is $10$ cm. For $C = 15$ in: radius is approximately $2.39$ in, di…
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construct a line passing through point c that is parallel to the line a…
a) The perpendicular bisector of \(AB\) is perpendicular to \(AB\), not parallel. Just because point \(C\) lies on the perpendicular bisector of \(AB\) does not mean the line thro…
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(a) use the calculator to find the perimeter and area of the lawn. make…
Perimeter: 82 ft Area: 418 ft² (b) Area (c) Perimeter
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jamal places 1 - centimeter cubes in pairs. then he uses the pairs of c…
242 square centimeters
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(a) use the calculator to find the perimeter and area of the field. mak…
Perimeter: 200 yd Area: 2016 yd² (b) Perimeter (c) Area
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question 12(multiple choice worth 2 points) (area of polygons and compo…
1559 square - yards (There may be a mis - typing in the options as the closest reasonable calculation gives this result. If we calculate as a combination of rectangle, parallelogr…
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type the correct answer in the box. use numerals instead of words. a pl…
3
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(a) use the calculator to find the area and perimeter of the window. ma…
(a) Area: 2394 in² Perimeter: 202 in (b) Area (c) Perimeter
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when turned about its axis of rotation, which shape could have created …
A triangle (specifically, two congruent right - angled triangles sharing an altitude)
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an artist joined three square regions at their vertices to create the f…
A. The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y
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point m is located at (4, 6) on a coordinate grid. point m is translate…
A. 12 units
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a hexagonal pyramid is cut by a plane as shown in the diagram. what is …
A. a hexagon
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given m || n, find the value of x and y. (8x + 2)° m (4x + 10)° n y°
\(x = 2\), \(y=162\)
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which angles are alternate exterior angles? ∠utv and ∠pqo ∠utv and ∠rqo…
\(\angle UTV\) and \(\angle PQO\)
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the volume of a cone is 1,782 cubic centimeters. a cylinder has the sam…
C. 5,346 cubic centimeters
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which measurements could represent the side lengths in feet of a right …
A. 10 ft, 24 ft, 26 ft
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identify a pattern in the sequence of figures. then use the pattern to …
A. Triangle
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select the correct answer. a cylinder has a volume of 321 cubic units. …
A. 107 cubic units
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which angles are consecutive interior angles? ∠hil and ∠kli ∠hil and ∠j…
$\angle HIL$ and $\angle KLI$
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pythagorean unit practice. the diagram below shows the side view of a r…
B. 9.5 ft
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which angles are vertical angles? ∠kjm and ∠nmo ∠kjm and ∠ijh ∠kjh and …
$\angle KJM$ and $\angle IJH$
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type the correct answer in the box. use numerals instead of words. a ne…
44300
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which angles are adjacent angles? ∠qrt and ∠qro ∠qro and ∠nom ∠srt and …
\(\angle QRT\) and \(\angle QRO\)
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given m || n, find the value of x and y. (8x + 13)° m (9x + 10)° (3y + …
\(x = 3,y = 46\)
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pythagorean unit practice the diagram shows a right triangle and the le…
14.3 in.
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select the correct answer. a sphere has a diameter of 14 units. what is…
The volume of the sphere is about 1436.03 cubic units, and the volume of the cylinder is about 2154.04 cubic units. So the correct answer is B.
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which angles are alternate exterior angles? ∠hgd and ∠fgi ∠edg and ∠fgd…
$\angle HGI$ and $\angle CDB$
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which angles are alternate interior angles? ∠klo and ∠pol ∠mlo and ∠pol…
$\angle MLO$ and $\angle POL$
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a regular pentagonal prism has a volume of 4,560 cubic millimeters. wha…
19
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which angles are vertical angles? ∠rsu and ∠ops ∠rsu and ∠opn ∠rsu and …
∠RSU and ∠TSP
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question ∠1 and ∠2 are complementary angles. if m∠1=(5x - 11)° and m∠2=…
\(34^{\circ}\)
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select the correct location on the number line. which point on the numb…
The point on the number - line closest to 200 represents the approximate volume.
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solve for x and graph the solution on the number line below. -2 ≤ -x + …
Inequality Notation: $1 < x\leq6$ Number - Line: Draw a number line. Mark a open - circle at 1 (since $x>1$) and a closed - circle at 6 (since $x\leq6$). Then shade the region bet…
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which angles are vertical angles? ∠rsq and ∠rsv ∠rsq and ∠wvx ∠rsv and …
$\angle RSV$ and $\angle TSQ$
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which angles are consecutive interior angles? ∠nol and ∠klo ∠nol and ∠m…
\(\angle NOL\) and \(\angle KLO\)
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select the correct answer. a rubber gasket has a circumference of 3.2 c…
A. 6.4 cm
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use the midpoint formula to determine the midpoint of the given line se…
$(1.75,1.625)$
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which angles are alternate exterior angles? ∠nmk and ∠lmp ∠qpr and ∠lmk…
$\angle LMP$ and $\angle OPR$
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use the midpoint formula to determine the midpoint of the given line se…
$(1.75,1.625)$
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which angles are vertical angles? ∠lkh and ∠lkm ∠lkh and ∠jkh ∠lkh and …
$\angle LKH$ and $\angle JKM$
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drag each statement to the correct location on the table. classify the …
- $288\pi$: a cone with a radius of 12 units and a height of 6 units, a sphere with a diameter of 12 units, a cylinder with a diameter of 8 units and a height of 18 units - $972\p…
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a satellite launch rocket has a cylindrical fuel tank. the fuel tank ca…
B. $\frac{4V}{\pi a^{2}}$
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question ∠1 and ∠2 are vertical angles. if m∠1=(3x + 22)° and m∠2=(7x -…
\(x = 11\)
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when three squares are joined at their vertices to form a right triangl…
C
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which angles are adjacent angles? ∠wvx and ∠uvx ∠wvx and ∠tsq ∠wvx and …
$\angle WVX$ and $\angle UVX$
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which angles are alternate exterior angles? ∠lkn and ∠jkn ∠lki and ∠onp…
$\angle LKI$ and $\angle ONP$
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natasha walked from the library to the grocery store and then to her ho…
D. 1.9 mi
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for the upcoming holiday season, dorothy wants to mold 20 bars of choco…
E. 180
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use the midpoint formula to determine the midpoint of the given line se…
$(-1.25,2.8)$
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which angles are vertical angles? ∠kjh and ∠ijh ∠lmo and ∠nmo ∠nmo and …
$\angle KJH$ and $\angle IJM$
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the coordinates of the vertices of the triangle shown are p (2, 13), q …
13