Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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statement reason 1 rt || hj given 2 hj || uw given 3 ∠wvx ≅ ∠jix corres…
Corresponding Angles Theorem
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in order for c||d, how must ∠2 and ∠7 be related? how must ∠3 and ∠5 be…
Para que \(c\parallel d\), \(\angle2\) y \(\angle7\) deben ser ángulos alternos internos (es decir, \(\angle2=\angle7\)) y \(\angle3\) y \(\angle5\) deben ser ángulos correspondie…
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c. what is the scale factor that takes figure 1 to figure 2? d. g and h…
c. The scale factor is found by dividing the length of a side in Figure 2 by the length of the corresponding side in Figure 1. d. The distance between the corresponding points is …
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statement reason 1. $overleftrightarrow{ik}paralleloverleftrightarrow{s…
Same - Side Interior Angles Theorem
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architecture for safety reasons, a construction worker wants to make su…
# Explicación: ## Paso 1: Recordar la propiedad de ángulos correspondientes Los ángulos correspondientes formados por líneas paralelas son congruentes. ## Paso 2: Comparar los áng…
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statement reason 1 $overleftrightarrow{gi}paralleloverleftrightarrow{rt…
4. Reason: Same - Side Interior Angles Postulate 5. Reason: Substitution Property of Equality
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tv || qs. complete the proof that ∠prs ≅ ∠tuw. statement reason 1 tv ||…
2. Corresponding Angles Postulate 3. Vertical Angles Theorem 4. Transitive Property of Congruence
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1 the storm had passed, and the sea grew calm. after hours of flounderi…
1. Struggling 2. "greatful" should be "grateful" 3. Travis's pizzeria, which is located downtown, serves the best New York style pizza. 4. Your (possessive) 5. improve
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statement reason 1. $overleftrightarrow{vx}paralleloverleftrightarrow{i…
The reason for $\angle RWV\cong\angle UTY$ is the Transitive Property of Congruence (since we first used the Alternate Exterior Angles Theorem to get $\angle RWV\cong\angle IJR$ a…
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which of the following options could be used as a name for this angle? …
C. \(\angle NWH\)
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13. intellectual property theft (civil) · background: a start - up clai…
The issue pertains to legal aspects of intellectual property, with key elements being proving original ownership and damages in a case of alleged software code theft.
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13. intellectual property theft (civil) . background: a start - up clai…
13. Intellectual Property Theft: Background - A start - up claims a competitor stole its software code. Legal Angle - Copyright and trade secret infringement. Challenges - Proving…
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d is the midpoint of $overline{ce}$. c has coordinates (-9, -6), and d …
$(-13,26)$
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points j, k, and l are collinear. point k is between j and l, jl = 21z …
41
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find the midpoint between (2, 7) and (3, 8).
$(2.5,7.5)$
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find the value of x for which m || n. the value of x for which m || n i…
$x = 40$
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sam is trying to draw an isosceles triangle with two right angles on a …
No, it is not possible. The sum of the interior angles of a triangle is 180°. Two right - angles already sum to 180°, leaving no measure for the third angle.
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what is the measure of angle a?
\(78^{\circ}\)
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current skill $ what is the distance between (6, 0) and (0, - 3)? provi…
$6.7$
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find the measure of angle c.
$58^{\circ}$
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instruction concept practice 1 amber calculates that 3/10 of the studen…
1. C 2. $8\div16$, $\frac{8}{16}$ 3. C 4. D 5. A 6. B
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which graph shows the solution to the inequality? $x-(5 - 3x)leq2x - 1$…
The graph that has a closed - circle at $2$ and an arrow pointing to the left represents the solution. Without seeing the exact details of the graphs, if the closed - circle is at…
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with the given information, can it be determined that m||n? write yes o…
# Explicación: ## Paso 1: Recordar el teorema El teorema de los ángulos internos alternos opuestos establece que si la suma de ángulos internos alternos opuestos es de 180°, enton…
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what is the value of x?
12
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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 ∠pc…
# Explanation: ## Paso 1: Comprender la construcción Se construye una línea paralela a $\ell$ a través de un punto $P$. Esto se hace copiando un ángulo correspondiente. ## Paso 2:…
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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 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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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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one leg of a right - triangle has a length of 43.2 millimeters. the hyp…
C. 192
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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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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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Question was provided via image upload.
$x = 2,y = 162$
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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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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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(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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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=…
\(34^{\circ}\)