Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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question the figure on the right is a scaled copy of the figure on the …
1. The side in the figure on the right that corresponds to segment $TQ$ is $JK$. 2. To find the scale - factor, we need to compare the lengths of corresponding sides. Let's assume…
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what is the area of this figure? square millimeters
115
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reflect (5, - 3) across the y - axis. then reflect the result across th…
$(-5,3)$
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the coordinates of the endpoints of $overline{gh}$ are $g(2, 16)$ and $…
\((12,10)\)
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what is the image point of (9, 8) after a translation right 4 units and…
$(13,10)$
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a company sells two storage containers with different dimensions. each …
(a) $63$ (b) $1.5$
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the rectangle below has an area of $x^{2}-x - 72$ square meters and a l…
$x - 9$
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the diagram shows a triangle. what is the value of s? s = □°
137
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select the correct answer. which equation represents the vertical line …
B. $x = 1$
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what is the ratio of rectangles to circles?
5:1
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what is the volume? 5.8 in 7.3 in 3 in cubic inches
$63.51$
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look at this graph: what are the coordinates of the vertex?
(2, 2)
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graph the compound inequality. 5 < x < 8 plot the endpoints. select an …
On the given number line, place open circles at 5 and 8, and draw a line segment connecting them.
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4. here are 4 triangles that have each been transformed by a different …
The transformation that is a dilation (if present among the 4), as it changes the size of the triangle while translations, rotations, and reflections do not.
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find the midpoint of the segment with the following endpoints. (5,2) an…
$(3,5)$
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write the equation of this line in slope - intercept form. write your a…
$y=x + 14$
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look at this graph: what are the coordinates of the vertex?
(-2, - 9)
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the perimeter of a geometric figure is the sum of the lengths of its si…
$x = 14$, $3.5x=49$
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the flag of a country contains an isosceles triangle. (recall that an i…
The first angle is $55^{\circ}$, the second angle is $55^{\circ}$, and the third angle is $70^{\circ}$.
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question 5 of 10 which of the following are exterior angles? check all …
A. $\angle2$, B. $\angle5$, C. $\angle4$, F. $\angle3$
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5. what will be the coordinates of point n after a 270° counterclockwis…
(Assuming original coordinates of N are $(a,b)$) $(b, - a)$
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draw the reflection of the following quadrilateral over the line p.
The reflected quadrilateral is drawn by following the above steps. (Since this is a drawing - based problem, the actual visual drawing cannot be provided here, but the steps to cr…
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$133$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$110$
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reflect the figure over the line y = -x - 3. plot all of the points of …
Reflected points: (-1,1), (2,-4), (5,1)
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given m||n, find the value of x. answer x =
# Explicación: ## Paso 1: Identificar el tipo de ángulos Los ángulos $x$ y $148^{\circ}$ son ángulos correspondientes ya que $m\parallel n$. Los ángulos correspondientes son igual…
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each row contains the measures of 2 angles for a triangle. for each tri…
40° and 100°: 40° 60° and 90°: 30° 15° and 75°: 90° 65° and 75°: 40°
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△abc was rotated 90° counterclockwise around the origin to form △abc. △…
Find the coordinates of $A'',B'',C''$ from the graph. Multiply their coordinates by 3 to get the coordinates of $A',B',C'$. Then apply the transformation $(x,y)\to(y, - x)$ to the…
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if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel l…
$66$
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identify the hypothesis and conclusion for the conditional statement. t…
Hypothesis (H): A figure is a circle. Conclusion (C): Its area is $\pi r^{2}$. If - then form: If a figure is a circle, then its area is $\pi r^{2}$.
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identify the hypothesis and conclusion for the conditional statement. t…
H: an angle is right C: the angle measures 90 degrees If - then form: If an angle is right, then the angle measures 90 degrees
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write the equation of this line in slope - intercept form. write your a…
\(y = 4x\)
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what are the values of x, y, and z? x = □, y = □, and z = □ (simplify y…
$x = 69$, $y = 76$, $z = 61$
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for the figure shown, find m∠1. (the figure is not drawn to scale.) m∠1…
$125$
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part 1 of 2 for the figure shown, find m∠1 and m∠2. (the figure is not …
# Explicación: ## Paso 1: Usar la suma de ángulos internos de un triángulo La suma de los ángulos internos de un triángulo es 180°. En el triángulo dado, para encontrar $m\angle1$…
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the figure shows a net of a triangular prism. which expression can be u…
# Explicación: ## Paso 1: Encontrar áreas de las caras rectangulares Las áreas de las caras rectangulares son $3\times3$, $3\times4$ y $3\times5$. Hay una cara de cada tipo. ## Pa…
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find the measure of the missing angles. answer attempt 1 out of 2 b = °…
$b = 64^{\circ}$, $c = 116^{\circ}$
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the surry county sheriffs patrol route starts in coby. the composition …
The sheriff drives 40 miles right and 50 miles down from Coby to an intermediate point. Then she drives 20 miles left and 10 miles up to the final destination.
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a hot - air balloon is rising vertically. the angle of elevation from a…
$33.0$ feet
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5. which of the following pairs of angles are equal when two parallel l…
b. Alternate interior angles
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select all the pairs of alternate exterior angles.
$\angle CDB$ and $\angle HGI$, $\angle EDB$ and $\angle FGI$, $\angle HGD$ and $\angle CDG$
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if the point (x, y) is on the x - axis, which of the following must be …
y = 0
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a net for a three - dimensional figure is shown on grid paper. each squ…
# Explicación: ## Paso 1: Contar el número de cuadrados Cada cuadrado representa 1 pulgada cuadrada. Contamos los cuadrados en la red. ## Paso 2: Sumar el área total Sumamos el nú…
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which expression can be used to find the surface area of the trapezoida…
# Explicación: ## Paso 1: Calcular áreas de caras rectangulares Las áreas de las caras rectangulares son: - Cara 1: $5\times2 = 10$ - Cara 2: $5\times3 = 15$ - Cara 3: $5\times4 =…
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the midpoint of $overline{ab}$ is $m(-2,-3)$. if the coordinates of $a$…
$(4, -1)$
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which ordered pair is shown on the graph?
(5, - 2)
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determine the type of triangle that is drawn below.
Obtuse - scalene triangle
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write the equation of this line in slope - intercept form. write your a…
$y=x - 7$
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the formula v = lwh is used to find the volume of a box. if the length …
C. The volume is multiplied by 40.
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select the correct answer from each drop - down menu. explain how the d…
Point R has coordinates of R(-2,3). The length of $\overline{RS}$ is 1. The length of $\overline{RT}$ is 3. Using the Pythagorean theorem, the length of $\overline{ST}$ is approxi…
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which is the best classification for the triangle shown here? right tri…
B. Acute triangle
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the mid - point of $overline{ab}$ is $m(1,2)$. if the coordinates of $a…
$(-6,8)$
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plot the image of point c under a dilation about the origin (0,0) with …
The image of point $C$ has coordinates $(-1,1)$. Plot this point on the graph.
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what is the volume of this cylinder? round your answer to the nearest h…
$201.06$
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6 leon designs a fabric pattern using figure stuvw. he dilates figure s…
S''(9,1), T''(9, - 5), U''(1, - 5), V''(1, - 1), W''(5, - 1)
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10. rectangle ghij with vertices g(2, -1), h(7, -1), i(7, -4), and j(2,…
# Explicación: ## Paso 1: Regla de reflexión en $y = x$ Para reflejar un punto $(x,y)$ en la línea $y = x$, se intercambian las coordenadas: $(x,y)\to(y,x)$. ## Paso 2: Reflejar p…
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which angles are consecutive interior angles? ∠kjm and ∠ijm ∠lmj and ∠k…
$\angle KJM$ and $\angle NMJ$
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su and vx are parallel lines. which angles are vertical angles? ∠utw an…
$\angle UTW$ and $\angle STR$
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hj and km are parallel lines. which angles are adjacent angles? ∠kln an…
$\angle KLN$ and $\angle MLN$
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question 1-4 graph the solution to the inequality on the number line. f…
On the number line, use an open circle at $x=-4$ and a closed circle at $x = - 1$ and draw a line segment between them.
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4. a triangle has legs of 7 and 24 and the hypotenuse is 25. is it a ri…
A. Yes
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directions: complete the following questions by showing all work and an…
a. \(x = 5\) b. m∠M = 65° c. Scalene right - triangle
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3. if two angles measure 2x + 10 and 3x + 5 and are supplementary, find…
a. 33
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2. if two corresponding angles are 75 degrees each, what type of lines …
c. Parallel lines
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qq and rt are parallel lines. which angles are corresponding angles? ∠q…
$\angle QPS$ and $\angle TSU$
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the diagram shows two parallel lines cut by a transversal. a. look for …
# Explicación: ## Paso 1: Identificar relaciones de ángulos Al observar líneas paralelas cortadas por una transversal, hay varios tipos de relaciones de ángulos. Los ángulos corre…
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1. a rectangular field has corners at (0, 0), (0, 4), (6, 0), and (6, 4…
d. \(\sqrt{52}\) units
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13. which of these points lies in quadrant ii of the coordinate plane? …
d. (-4,6)
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12. if points are plotted at (1,2), (5,2), and (3,4), which tool in geo…
b. Polygon tool
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eg and hj are parallel lines. which angles are adjacent angles? ∠hf and…
$\angle HFI$ and $\angle IFJ$
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11. a hiker starts at (2, 3) and ends at (6, 7). using the distance for…
C. $\sqrt{32}$ units
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mo and pr are parallel lines. which angles are alternate interior angle…
$\angle ONQ$ and $\angle PQN$
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10. which axis is the horizontal axis on a coordinate plane? a. x - axi…
A. x - axis
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9. what are the coordinates of a point? a. a pair of numbers indicating…
A. A pair of numbers indicating position
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8. what is the term for the longest side of a right triangle? a. hypote…
A. Hypotenuse
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7. how can the distance formula help athletes? a. by choosing their die…
c. By tracking their running distances
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np and qs are parallel lines. which angles are corresponding angles? ∠s…
$\angle SRT$ and $\angle POM$
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6. in which scenario might engineers use the distance formula? a. writi…
c. Building a bridge
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which angles are supplementary angles? ∠jkh and ∠ghf ∠jkh and ∠lkh ∠jkh…
∠JKH and ∠LKH
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5. which geometric shape requires knowing the distance formula to calcu…
a. Rectangle
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example 2 complete a cartesian plane for the table of values given belo…
Points (0, - 3), (1, - 2), (2, - 1), (3, 0), (4, 1) are plotted on the Cartesian plane.
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4. if point a is at (2,3) and point b is at (5,7), what is the distance…
A. 5
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3. a cyclist travels between points (3, 4) and (7, 1). what is the dist…
A. $\sqrt{25}$ units
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2. what quadrant is the point (-5, -6) located in? a. quadrant iv b. qu…
c. Quadrant III
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jl and mo are parallel lines. which angles are adjacent angles? ∠mnp an…
$\angle MNP$ and $\angle MNK$
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1. what is the distance between (0, 0) and (3, 4)? a. 3 b. 4 c. 7 d. 5
d. 5
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look at this graph: what is the y - intercept?
0
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athletes use the distance formula to track their during training. engin…
1. Progress 2. Precision 3. Distance
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match each compound inequality on the left to the graph that represents…
$-5x + 9 < - 6$ or $-3x + 1\geq7$ matches the graph with a closed - circle at $x=-2$ and an open - circle at $x = 3$. $-6x > - 18$ and $1\leq2x + 5$ matches the graph with a close…
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look at this graph: what is the equation of the axis of symmetry?
$x = 0$
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look at this graph: what is the y - intercept?
-7
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look at this graph: what are the coordinates of the vertex?
(0, 0)
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after subtracting the coordinates, the next step is to the differences.…
1. square 2. square - root 3. maps, layouts 4. shortest
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the given figure consists of a parallelogram and a square. the base of …
27 square centimeters
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solve the area of a triangle formula for the variable (b): (a=\frac{1}{…
$b=\frac{2A}{h}$ (corresponding to the third option in the multiple - choice)
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look at this graph: what are the coordinates of the vertex?
(0, - 10)
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the equation of the circumference of a circle is c = 2πr, where r is th…
The circumference is 11.9 cm.
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look at this graph: what is the y - intercept?
-5
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the formula used to find the straight - line distance between two point…
1. distance formula 2. Pythagorean 3. straight - line distance 4. corresponding coordinates
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which graph shows the inequality x ≥ 0?
The first graph (the one with a closed - circle at 0 and an arrow pointing to the right) shows the inequality $x\geq0$.