Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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solve for a and graph the solution on the number line below. -7 ≤ -12 +…
Inequality Notation: $w\geq5$ Number - Line: On the number line, place a closed circle at 5 (since the inequality is $\geq$) and draw a line extending to the right.
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solve for t and graph the solution. 17t + 5 ≤ 9t + 5 or - 11t - 9 > - 1…
The solution is $t\leq0$ or $t > 6$. On the number - line, for $t\leq0$, we have a ray starting from 0 and going left with a closed - circle at 0. For $t>6$, we have a ray startin…
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ex. 4) suppose that mr. laughlin lives 8 blocks west and 6 blocks north…
43.9
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solve for x and graph the solution on the number line below. -6x > -12 …
Inequality Notation: $x < 2$ Number Line: On the number - line, we place an open circle at 2 (since $x$ is less than 2, not less than or equal to 2) and draw an arrow to the left …
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ex. 4) suppose that mr. laughlin lives 8 blocks west and 6 blocks north…
43.9
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solve for x and graph the solution on the number line below. -3 < \\fra…
Inequality Notation: $x < 9$ (Note: For graphing on the number - line, you would draw an open circle at 9 and a line extending to the left.)
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which statements are true? check all that apply. line xy contains ray o…
Line XY contains segment YX. Ray BA exists in the diagram.
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16. developing proof write a complete proof by rearranging the reasons …
The proof is as follows: | Statements | Reasons | |--|--| | 1. $\overline{UV}\cong\overline{XY},\overline{VW}\cong\overline{WX},\overline{WX}\cong\overline{YZ}$ | Given | | 2. $UV…
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sorting properties of rays and segments determine if the properties def…
cannot be measured - Ray has a definite beginning and end - Line Segment continues forever in one direction - Ray can be measured - Line Segment has two endpoints - Line Segment h…
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what is the measure of ∠x? angles are not necessarily drawn to scale.
# Explicación: ## Paso 1: Identificar el ángulo dado El ángulo dado es de $48^{\circ}$. ## Paso 2: Saber que el ángulo recto mide 90° Un ángulo recto tiene una medida de $90^{\cir…
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solve for x and graph the solution on the number line below. x + 6 ≥ 16…
Inequality Notation: $x\geq10$ Number Line: On the number - line, plot a closed circle at 10 (because the inequality is $\geq$) and shade to the right of 10.
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solve for x and graph the solution on the number line below. 11 < x + 5…
Inequality Notation: $x>6$ Number - Line: An open - circle at 6 and an arrow pointing to the right.
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solve for x and graph the solution on the number line below. -4x ≤ -8 a…
Inequality Notation: $x\geq2$ Number Line: Plot a closed - circle at 2 (because the inequality includes equality, i.e., $\geq$) and draw a line to the right of 2 to represent all …
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reviewing undefinable terms the intersection of plane r and plane p is …
The intersection of plane R and plane P is line DB. Point H is not on plane P. $\overrightarrow{CE}$ and $\overrightarrow{DB}$ intersect at point D.
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reviewing undefinable terms. the intersection of plane r and plane p is…
Point H is not on plane P. $\overleftrightarrow{CE}$ and $\overleftrightarrow{DB}$ intersect at point D.
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reviewing undefinable terms. the intersection of plane r and plane p is…
The intersection of plane R and plane P is line DB. Point H is not on plane P.
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13 which visual shows -3.7, -8 and 0 placed correctly in the graphic or…
The third visual (from the left) shows - 3.7, - 8 and 0 placed correctly in the graphic organizer as it has 0 in the whole - numbers circle, - 8 in the integers circle (but not wh…
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reviewing undefinable terms. the intersection of plane r and plane p is…
line DB
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the definition of a circle uses the undefined term ________. arc line p…
plane
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which pair of undefined terms is used to define a ray? line and plane p…
D. point and line
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which is a property of an angle? has two sides that each extend forever…
has two rays that share a common endpoint
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write a polynomial that represents the length of the rectangle. the wid…
$0.4x^{2}+0.2x + 0.4$
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which defines a circle? two rays with a common endpoint a piece of a li…
all coplanar points equidistant from a given point
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which is defined using the undefined terms point and line? angle circle…
angle
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which point is the center of the circle? point w point x point y point z
point X
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which transformation would take figure a to figure b? answer a reflecti…
A counterclockwise rotation of 180 about the origin
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m∠2=(2x + 28)° and m∠4=(6x + 4)° what is m∠1? 28 140 40 6
140
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which figure represents an undefined term?
The fourth figure (the one with two arrow - heads indicating it extends infinitely in both directions)
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which undefined term is used to define an angle? line plane point ray
D. ray
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figure d is the result of a transformation on figure c. which transform…
A rotation 90° clockwise about the origin
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which undefined term can contain parallel lines? line plane point ray
B. plane
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figure m is the result of a transformation on figure l. which transform…
A translation 1 unit right and 4 units up
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figure f is the result of a transformation on figure e. which transform…
A rotation 180° clockwise about the origin
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question what is the image of the point (-7, -8) after a rotation of 27…
$(-8,7)$
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find the unknown lengths in the pair of similar triangles.
\(a = 11\) mm, \(b = 7\) mm
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which is the endpoint of a ray? point r point s point t point u
point S
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what is the image of the point (9, 8) after a rotation of 180 countercl…
$(-9,-8)$
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question what is the image of the point (-1,2) after a rotation of 270°…
$(2,1)$
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rotation of a point score: 0/5 penalty: 1 off question what is the imag…
$(-3,6)$
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find the value of x. x = 26.5 x = 14 x = 273 15 12 8 x - 4
$x = 14$
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part 1 of 2 find the unknown lengths in the pair of similar triangles. …
\(u = 44\) mm
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area: ____________ perimeter: ____________ area: ____________ perimeter…
| Figure | Area | Perimeter | | ---- | ---- | ---- | | 1 | 42 | 26 | | 2 | 28 | 22 | | 3 | 56 | 30 | | 4 | 25 | 20 | | 5 | 81 | 36 | | 6 | 32 | 24 | | 7 | 18 | 18 | | 8 | 36 | 24 …
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question what is the image of (8, -6) after a reflection over the line …
$(-6,8)$
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angles shown. 9 4 area: ____________ perimeter: ____________
Area: 36 Perimeter: 26
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the prism below represents the attic in a home. michelle needs to know …
104 square units
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which statements are true regarding undefinable terms in geometry? sele…
C. A line has one dimension, length. E. A plane consists of an infinite set of lines.
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id perimeter (in cm) of the recta 7 area: perimeter:
Area: $63$ $cm^{2}$ Perimeter: $32$ cm
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question what is the image of (2, 4) after a reflection over the x - ax…
$(2,-4)$
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which distance measures 7 units? the distance between points l and m th…
the distance between points M and P
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find the unknown lengths in the pair of similar triangles. a = □ mm
$\frac{77}{6}$ mm
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question point a is located at (6, 3) on the coordinate plane. point a …
$(6,-3)$
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label the midpoint.
$65.15$
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area: ____________ perimeter: ____________
Area: 30 Perimeter: 22
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point g is located at (1, 1) on the coordinate plane. point g is reflec…
$(-1,-1)$
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the prism below represents the attic in a home. michelle needs to know …
# Explanation: ## Step1: Calculate area of triangular bases The formula for the area of a triangle is $A=\frac{1}{2}bh$. Here, $b = 8$ and $h=3$, so $A_{triangle}=\frac{1}{2}\time…
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explain why the triangles are similar. then find the distance represent…
D. There is a pair of congruent angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate.
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planes a and b both intersect plane s. which statements are true based …
Points N and K are on plane A and plane S. Point P is the intersection of line n and line g. Points M, P, and Q are noncollinear.
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point a is located at (-2, -6) on the coordinate plane. point a is refl…
$A'(2,-6)$
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point a is located at (-1, -4) on the coordinate plane. point a is refl…
$A'(1,-4)$
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consider points r, s, and t. which statement is true about the geometri…
One plane can be drawn so it contains all three points.
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m∠2=(2y - 7)° and m∠4=(y + 17)°. what is m∠2?
41
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set up a proportion to solve for x in the following similar triangles.
The proportion to solve for $x$ is $\frac{15}{x - 4}=\frac{12}{8}$ and $x = 14$.
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2. jon is building a wheelchair ramp at his grandmothers house. the ram…
a) The length of the roll roofing (ramp length) is approximately $7.3$ m. b) The angle of elevation of the ramp is approximately $9.46^{\circ}$
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the dimensions of a rectangular prism are shown. h = 12 cm / = 14 cm w …
C. $856$ $cm^{2}$
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what are three collinear points on line l? points a, b, and f points a,…
points B, F, and G
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suppose m∠1 = 112. what is m∠3? o 112 degrees o 68 degrees o 248 degree…
112 degrees
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two triangles are connected. what is the value of x? 55° 50° 45° 40°
40°
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planes x and y and points j, k, l, m, and n are shown. how many planes …
1
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what is the image point of (-6,5) after a translation right 2 units and…
$(-4,1)$
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set up a proportion to solve for x in the following similar triangles.
The proportion to solve for \(x\) is \(\frac{24}{x - 2}=\frac{18}{12}\) and \(x = 18\).
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question what is the image point of (7, 7) after a translation left 5 u…
$(2,2)$
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consider the triangle. which statement is true? the measure of ∠m is 96…
The measure of ∠m is 96° because the sum of the interior angles of a triangle is 180° and \(m=180-(33 + 51)\). But among the given options, if we consider the concept of angle - s…
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set up a proportion to solve for x in the following similar triangles.
$x = 18$
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explain why the triangles are similar. then find the distance represent…
21
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question what is the image point of (-4, -3) after a translation left 1…
$(-5,-5)$
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7. according to the picture, which is older: the bones or the stone ido…
The bones are older. The archaeological technique is stratigraphy.
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label the midpoint. 42.3 42.2
$42.25$
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if ∠g is supplementary to ∠h and the measure of ∠g is 65, what is the m…
C. 115°
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set up a proportion to solve for x in the following similar triangles.
$x = 18$
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translation of a point score: 1/5 penalty: 1 off question what is the i…
$(-7,-14)$
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each row contains the measures of 2 angles for a triangle. for each tri…
For the pair 55° and 75°, the third - angle is 50°. For the pair 60° and 90°, the third - angle is 30°.
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explain why the triangles are similar. then find the distance represent…
240
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select the choices that best complete the sentence below. the rectangul…
The rectangular coordinate system has 4 quadrants and 2 axes.
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question what is the image point of (1, - 3) after a translation right …
$(6, - 1)$
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explain why the triangles are similar. then find the distance represent…
E. There is a pair of congruent vertical angles and a pair of congruent right angles, so the triangles are similar by the AA - Postulate. $x = 60$ ft
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planes a and b intersect. which describes the intersection of line m an…
A. point W
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each row contains the measures of 2 angles for a triangle. for each tri…
For 40° and 100°, the third angle is 40°. For 50° and 75°, the third angle is 55°. For 60° and 90°, the third angle is 30°. For 65° and 75°, the third angle is 40°.
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determine whether the given triangles are similar. if they are, write a…
C. $\triangle ABC\sim\triangle HKG$ by the SSS - Theorem.
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consider the image. which equation demonstrates how to solve for x, and…
The equation $52 + 90 + y=180$ demonstrates one way to solve for y, and $y = 38^{\circ}$. Since $x + y=180$, $x = 142^{\circ}$
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consider the image. which equation demonstrates how to solve for x, and…
The equation \(52 + 90 + y = 180\) demonstrates one way to solve for \(y\), and \(y = 38^{\circ}\). Since \(x + y=180\), \(x = 142^{\circ}\). But among the given options, the corr…
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which statements are true regarding undefinable terms in geometry? sele…
A. A point's location on the coordinate plane is indicated by an ordered pair, \((x,y)\). E. A plane consists of an infinite set of points.
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study the figure. what is the measure of the missing interior angle? 18…
C. 25°
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points j and k lie in plane h. how many lines can be drawn through poin…
B. 1
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a square pyramid is given. what is the surface area of the pyramid? 504…
504 units$^{2}$
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a square pyramid is given. what is the surface area of the pyramid? 504…
504 units$^2$
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solve the inequality and graph the solution. 4x - 4 < 8x + 1. choose th…
B. (assuming option B is the graph with an open - circle at \(-1.25\) and an arrow pointing to the right)
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11 un carré appartient à la famille des rectangles. il possède donc des…
On a démontré que les diagonales du carré sont isométriques (de longueur $\sqrt{82}$) et perpendiculaires (produit des pentes égal à - 1).
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i first understand the problem. then translate the statement into an in…
# Explicación: ## Paso 1: Escribir la desigualdad para el perímetro El perímetro $P$ de un rectángulo se define como $P = 2(l + w)$, donde $l$ es la longitud y $w$ es el ancho. Da…
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calculate the perimeter of the figure shown below. 7 cm 7 cm 17 cm 27 c…
$89$ cm
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what value of x will make lines l and m parallel? 3x 4x + 19
\(x=-19\)