Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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in the diagram, jg = 5 cm and ge = 10 cm. based on this information, ca…
Point G can be a centroid because GE and JG are in the ratio 2:1.
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in triangle trs, tz = (3x) inches and wz = (2x - 3) inches. what is wz?…
9 inches
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point g is the centroid of triangle abc. the length of segment cg is 6 …
18 units
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rachel and jack have marbles. use repeated reasoning circle tens to mak…
1. \(10 + 10+10+10+10+10+10+10+10+10 = 100\) 2. \(5\times(2\times10)=100\) 3. \(2\times(5\times10)=100\)
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in triangle abc, eg = x inches and bg = (5x - 12) inches. what is eb? 2…
4 inches
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in triangle def, cg = (x + 5) units and dg = (3x - 2) units. what is dg…
34 units
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read the proof that shows that the medians of an isosceles triangle mee…
To prove that the medians of an isosceles triangle meet at a point, show that the mid - point of a side lies on the line containing the opposite vertex and the point where the oth…
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g is the centroid of triangle abc. what is the length of $overline{ae}$…
33
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s is the centroid of triangle xyz. what is the length of sw? 5 units 11…
11 units
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tracy found the length of $overline{gf}$. her work is shown below. what…
She used \(GF = 2BG\), but the correct statement is \(BG=2GF\).
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use the given information to prove that ab = cd. given: ac = bd prove: …
$AB = CD$
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given the formula for the perimeter of a rectangle where l represents t…
D. The 2 represents the two sets of length and width pairs.
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g is the centroid of triangle abc. what is the length of $overline{gf}$…
20
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percents 34. 98 is what percent of 58? 35. what is 87% of 54? 36. 105 i…
Approximately $65.52\%$ ### 35. What is 87% of 54?
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s is the centroid of triangle nql. what is the length of nr? 4 units 8 …
36 units
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manny says that the diagram shows a centroid. is he correct? why or why…
no, because the centroid is where the medians meet
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which figure has an orthocenter outside the triangle?
The triangle with angles 45°, 110°, 25°
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the formula for the circumference of a circle is c = 2πr. use this form…
C. $r = \frac{C}{2\pi}$
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5. domain and range (20 points) the graph of part of linear function g …
Domain: $-4\lt x\leq6$, Finite, Continuous Range: $-2\leq y\lt4$, Finite, Continuous
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volume of a rectangular prism use the figures below to answer the quest…
96 cubic inches
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volume of a rectangular prism. use the figures below to answer the ques…
96 cubic inches
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8. abby is going to use this box to carry home her new kittens. what is…
# Explicación: ## Paso 1: Identificar la fórmula del volumen El volumen $V$ de un prisma rectangular (caja) se calcula con la fórmula $V = l\times w\times h$, donde $l$ es la long…
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an inequality is shown. 7x + 10 - 11x ≤ 2. solve the inequality and gra…
The solution of the inequality is $x\geq2$. On the number - line, there is a closed circle at 2 and an arrow pointing to the right.
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volume of a rectangular prism use the figures below to answer the quest…
What is the area of the base of the rectangular prism? 12 square inches What is the distance between the bases of the rectangular prism? 8 inches What is the volume of the rectang…
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7. beth used 30 cubes to build a rectangular prism that was 5 cubes lon…
# Explicación: ## Paso 1: Recordar la fórmula del volumen El volumen de un prisma rectangular es $V = l\times w\times h$, donde $l$ es la longitud, $w$ es el ancho y $h$ es la alt…
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de has endpoints d(4, 11) and e(8, 9). point f divides de into two part…
$(7,9.5),(5,10.5)$
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6. jen wrapped a gift that was six inches wide and ten inches tall. the…
# Explicación: ## Paso 1: Recordar la fórmula del volumen El volumen $V$ de un paralelepípedo (caja) se calcula como $V = l\times w\times h$, donde $l$ es la longitud, $w$ es el a…
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the coordinates of the endpoints of ij are i(3, 5) and j(17, 19). point…
$(9,11)$
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5. matt has a box that is 15 inches long and 5 inches wide. the volume …
# Explicación: ## Paso 1: Escribir la fórmula del volumen El volumen $V$ de un prisma rectangular (caja) se calcula como $V = l\times w\times h$, donde $l$ es la longitud, $w$ es …
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8. victor is teaching a geometry class on the different types of triang…
b. pedagogy
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3. angela has a cube with a length of one yard. maya has a cube with a …
Lo que tienen en común es la forma geométrica (son cubos). Lo que es diferente es la longitud de sus aristas (una de un yarda y otra de un pulgada).
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6. what is the distance between point a(1, 8) and b(4, 2)? recall (d = …
7.616
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point h lies on (overline{fg}) such that (fh:gh) is (3:1). graph h.
The point \(H\) has coordinates \((15,11)\) and can be graphed on the given coordinate - plane at the intersection of \(x = 15\) and \(y = 11\)
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jon wants to prove that points on a perpendicular bisector of a line se…
C. He can show that $AC = BC$ by showing that $\triangle ACD\cong\triangle BCD$ by SAS.
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which of the following belongs in the blank in the geometric proof show…
D. \(m\angle A + m\angle B + m\angle C=180^{\circ}\)
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given △abc with $overline{ab}congoverline{ac}$, which of the following …
D. \(\angle B\cong\angle C\)
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this triangle has an exterior angle labeled ∠a. all of the interior ang…
A. It is 140° because it is supplementary to 40°.
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which illustration shows the markings for the construction of the perpe…
B.
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graph the inequality below on the number line. x < 1
On the number line, place an open - circle at $x = 1$ and draw an arrow to the left of the open - circle.
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which equation can be used to solve for x in the parallelogram below? (…
A. \(6x + 12 = 7x - 8\)
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all points between and including two given points defines which term be…
A. line segment
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trying it out #4: same as #1. this time use a subtraction method to fin…
82
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perpendicular lines are two distinct coplanar lines that intersect to f…
D. right angle
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point e lies on cd such that ce:de is 1:4. graph e.
Graph the point \(E(-4,-6)\)
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a line segment is defined by which of the following statements? a. two …
C. All points between and including two given points.
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how many lines of symmetry does a rhombus have?
B. 2
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which of the following best completes this definition? two lines are pa…
D. they lie in the same plane and do not intersect
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un poste de 3.5 m de altura proyecta una sombra de 1.25 m de largo. al …
132
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how many lines of symmetry does a rectangle that is not a square have? …
B. 2
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the expression 4x gives the perimeter of a square with a side length of…
$\frac{20}{7}$ units
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define perpendicular lines. a. lines that cut across two or more lines …
C. Two coplanar lines that intersect at a 90 - degree angle
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a path between 3 cities is drawn on a map, creating the outlined region…
A. a rotation 90 - degrees counterclockwise about the origin and then a rotation 270 - degrees counterclockwise about the origin
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two rays sharing a common endpoint is the definition of which term? a. …
A. angle
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a student claims that a rotation of 180° about the center of a regular …
D. The student's claim is true for regular polygons with an even number of sides.
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quadrilaterals pqrs and pqrs are shown below. which series of transform…
C. a reflection across a vertical line passing through \(R\) followed by a dilation through \(R\) by a scale factor of \(\frac{P'Q'}{PQ}\)
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the graph below shows triangle a and triangle b. the side lengths of tr…
A. The triangles are similar but not congruent
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the hexagon below contains diagonals that form six congruent triangles.…
B. $120^{\circ}$ clockwise
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two distinct coplanar lines that do not intersect are known as ________…
A. parallel
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hacer una homotecia de la figura centrada en el origen con un factor de…
(a) Longitud lateral más corta de la figura original: 1 unidades Longitud lateral más corta de la figura final: 2 unidades (b) Longitud lateral más corta de la figura final = 2 × …
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indicar las coordenadas del punto obtenido con cada reflexión. (a) refl…
(a) $(-4,9)$ (b) $(4,-9)$
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4 from unit 1, lesson 15 triangle def is a right triangle, and the meas…
One angle is 90° (since it is a right - triangle) and the other non - given angle is 62°.
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determinar si un triángulo con estas longitudes laterales es un triángu…
(a) Triángulo rectángulo (b) Triángulo rectángulo (c) No es un triángulo rectángulo (d) No es un triángulo rectángulo
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calcular el volumen de este sólido.
$192$ $mm^3$
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c circle the object pronouns in the paragraph about tom’s family on pag…
**D** 1. lo 2. la 3. lo 4. ellos **B** 1. mis 2. su 3. sus 4. su 5. sus
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in the diagram below, $overline{ad}congoverline{ae}$, $overline{ba}para…
$115^{\circ}$
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a pole 6 feet tall is used to support a guy wire for a tower, which run…
20 ft
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for a project in her geometry class, kylie uses a mirror on the ground …
$16.72$ (rounded to two decimal places)
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y > 4x + 6. for which of the following tables are all the values of x a…
D
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find the circumference and area of the circle pictured above. c = selec…
$C = 22\pi$ yd (or approximately $69.08$ yd), $A = 121\pi$ yd² (or approximately $379.94$ yd²)
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triangles b and c have been built by dilating triangle a. a. find the c…
a. The center of dilation is found by intersecting lines connecting corresponding vertices. b. Approximately 2 c. Approximately 0.5 d. Approximately 0.67 (since \(\frac{4}{6}\appr…
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select the term that matches the statement numbered from the dropdown b…
A. Contrapositive, Validity: True B. Inverse, Validity: True C. Converse, Validity: True
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determine if triangle abc and triangle def are or are not similar, and,…
are, by the SAS similarity criterion
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during the battle of baltimore, francis scott key penned a poem that wi…
Oh, say can you see by the dawn's early light, What so proudly we hailed at the twilight's last gleaming? Whose broad stripes and bright stars through the perilous fight, O'er the…
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45° 9√2 b a
$a = 9$, $b = 9$
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find the circumference of a circle with radius 17 cm. type pi for the s…
$34\pi$ cm
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find the circumference of a circle with radius 17 cm. type pi for the s…
$34\pi$ cm
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c. choose three lengths that could be used to form a triangle but would…
A. 9 in., 12 in., 16 in. D. 24 in., 45 in., 53 in.
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use the graph to make the estimates. (a) estimate the y - intercept. wr…
$y = \frac{8}{3}$ (by observing the graph, when $x = 1$, the line passes through a point such that the $y$ - value is $\frac{8}{3}$ as the line has a slope of $\frac{2}{3}$ and $y…
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match the solid below to the two - dimensional shaded region that, upon…
# Explicación paso a paso: ## Paso 1: Comprender la rotación Al rotar una región bidimensional alrededor de un eje, se forma un sólido tridimensional. Un cono se forma al rotar un…
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match the solid below to the two - dimensional shaded region that, upon…
# Explicación: ## Paso 1: Comprender la rotación Al rotar una región plana alrededor de un eje, se forma un sólido de revolución. Un cilindro se forma al rotar un rectángulo alred…
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trying it out #8: perimeter and area of the composite figure. use the s…
Area: 57 sq. units Perimeter: $25 + 6\sqrt{5}\approx38.44$ units
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso 1: Calcular el área del rectángulo El área de un rectángulo se calcula como $A_{rectángulo}=l\times w$, donde $l = 16$ y $w = 4$. Entonces $A_{rectángulo}=1…
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso 1: Calcular el área del rectángulo El ancho del rectángulo es el diámetro del semicírculo, es decir $d = 2r=12$, y el largo es $l = 14$. El área del rectáng…
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso 1: Encontrar el área del rectángulo El área del rectángulo $A_{r}$ se calcula con la fórmula $A_{r}=l\times w$, donde $l = 10$ y $w = 8$. Entonces $A_{r}=10…
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso1: Calcular el área del rectángulo El área del rectángulo $A_{r}$ se calcula como $A_{r}=l\times w$, donde $l = 11$ y $w = 6$. Entonces $A_{r}=11\times6 = 66…
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question find the area of the figure below, composed of a rectangle wit…
37.8
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question find the area of the figure below, composed of a rectangle wit…
$39.9$
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question find the area of the figure below, composed of an isosceles tr…
# Explicación: ## Paso 1: Calcular el área del trapecio isósceles La fórmula para el área de un trapecio es $A_{trapecio}=\frac{(b_1 + b_2)h}{2}$, donde $b_1$ y $b_2$ son las base…
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question find the area of the figure below, composed of a parallelogram…
# Explicación: ## Paso 1: Calcular el área del paralelogramo El área de un paralelogramo se calcula con la fórmula $A = base\times altura$. Aquí, la base es $26$ y la altura es $1…
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso 1: Encontrar el área del rectángulo El área de un rectángulo se calcula como $A_{rectángulo}=l\times w$. Aquí, $l = 10$ y $w = 4$, entonces $A_{rectángulo}=…
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1) rotation 180° about the origin
Use the rule $(x,y)\to(-x,-y)$ for each vertex of the triangle to find the rotated triangle.
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find the area of the figure below, composed of a rectangle with a semic…
# Explicación: ## Paso 1: Calcula el área del rectángulo El área de un rectángulo se calcula como $A_{rectángulo}=l\times w$, donde $l = 11$ y $w = 8$. Entonces $A_{rectángulo}=11…
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question find the area of the figure below, composed of a rectangle and…
# Explicación: ## Paso 1: Calcular el área del rectángulo El ancho del rectángulo es el diámetro del semicírculo, es decir $d = 2r=8$, y el largo es $l = 12$. El área del rectángu…
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what is the horizontal translation of the red shape
# Explicación: ## Paso 1: Elegir un vértice para comparar Tomemos el vértice $A$ del triángulo azul y el vértice $X$ del triángulo rojo. ## Paso 2: Calcular la diferencia en coord…
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question find the area of the figure below, composed of a rectangle and…
34.3
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in the diagram below the blue triangle is the original. what is the hor…
4
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point z is the in - center of triangle rst. what is the value of x? (5x…
\(x = 5\)
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in the diagram below the red triangle is the original. what is the hori…
# Explicación: ## Paso 1: Elegir un vértice para comparar Tomamos el vértice $Y$ del triángulo rojo y el vértice $B$ del triángulo azul que es su correspondiente. ## Paso 2: Calcu…
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point x is the circumcenter of δabc. what is the length of mb? 1.5 cm 2…
2 cm
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in the diagram below the blue triangle is the original. what is the ver…
# Explicación: ## Paso 1: Elegir un vértice para comparar Tomemos el vértice $X$ del triángulo rojo y el vértice $A$ del triángulo azul correspondiente. ## Paso 2: Calcular la dif…