Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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△def is a scaled copy of △abc. what is the scale factor for △abc to △de…
# Explicación: ## Paso 1: Encontrar el factor de escala Dividir el lado correspondiente en el triángulo escalado por el lado correspondiente en el triángulo original. Tomando los …
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cameron, arthur, and jamie are playing soccer. their locations are reco…
Arthur: 41 Jamie: 28 Jamie
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1. use the figure to decide the type of angle pair that describes ∠5 an…
alternate exterior angles
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question 44 of 44 what is the approximate volume of a tree trunk if the…
D. $19.34$ ft$^3$
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find the value of y. a) what is the scale factor, k, from triangle a to…
# Explicación: ## Paso 1: Encontrar el factor de escala El factor de escala $k$ se obtiene dividiendo la longitud correspondiente en el triángulo más pequeño entre la longitud cor…
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the area of a rectangle is $5x^{3}+19x^{2}+6x - 18$ with length $x + 3$…
$5x^{2}+4x - 6$
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volume = l * w * h, l = length, w = width, h = height. π is called pi a…
For $L = 2$, $W = 3$, $H = 4$, volume is 24. For $L = 3$, $W = 3$, $H = 2$, volume is 18. For $L = 4$, $W = 2$, $H = 2$, volume is 16. For $L = 5$, $W = 2$, $H = 2$, volume is 20.
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△abc is a dilation of △abc with a center of dilation at point d. what i…
# Explicación: ## Paso 1: Identificar segmentos correspondientes Tomemos un par de segmentos correspondientes, por ejemplo, $AB = 3$ y $A'B'=4.8$. ## Paso 2: Calcular el factor de…
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spaghetti sauce comes in large and small cylindrical cans. the larger c…
C. $952.56$ in³
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complementary and supplementary angles calculating angle measur m (10y …
74
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calculating angle measures. what is the value of y? y = 10. find the fo…
$m\angle{JKM}=106$
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calculating angle measures. what is the value of y? y = (10y + 6)° (8y …
10
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what is the area of the shaded region (in brown)? multiple - choice 2 p…
$64.9$ in² is incorrect. The closest correct value among the options (assuming there was a rounding difference in the options) is $74.3$ in². But if we recalculate precisely, the …
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use the given dimensions to calculate the total area of the figure. rou…
$85.76$ in²
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1. tell which of the following triangle provide enough information to s…
1. ASA 2. SSS 3. SAS
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1. tell which of the following triangle provide enough information to s…
1. ASA 2. SAS 3. SSS
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finding angles measures find the following angle measures. m∠ead = m∠ca…
$m\angle EAD = 29^{\circ}$ $m\angle CAB=180^{\circ}$
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use the given dimensions to calculate the total area of the figure. rou…
$115.8$ in²
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finding angles measures find the following angle measures. m∠ead = m∠ca…
$m\angle EAD = 61^{\circ}$ $m\angle CAB = 119^{\circ}$
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a triangle has a height of (2n - 4) inches and a base of 8 inches. a re…
$n = 5$
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the diameter of a basketball is 9.50 inches. what is the volume of the …
C. $448.92$ $in^{3}$
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guided practice: angles in parallel lines b. describe how to use m∠rhb …
b. $m\angle XHR = 129^{\circ}$ c. When lines are parallel, angle - relationships (corresponding, alternate, supplementary) allow finding all angles from one known angle.
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1. (overrightarrow{xb}), (overrightarrow{tv}), and (overrightarrow{rw})…
$m\angle HKV = 51^{\circ}$, $m\angle TKW = 51^{\circ}$, $m\angle XHK = 51^{\circ}$
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1. if m∠2 = 37°, what is m∠3? 2. if m∠2 = 37°, and m∠3 = 10x + 23°, wha…
$x = 12$
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if uv = 2x - 6, vw = 14, and uw = 5x - 16, what is uw? simplify your an…
24
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if fg = 6x - 18, gh = 13x, and fh = 18x, what is fh? simplify your answ…
324
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if (fg = 3), (gh=x + 1), and (fh = 3x), what is (gh? simplify your answ…
3
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if (lm = 3x), (mn=x + 1), and (ln = 9), what is (lm)? simplify your ans…
6
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if bc = 2x, cd = x + 2, and bd = 5, what is cd? simplify your answer an…
3
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11. circle the name of the student who correctly wrote the equation mod…
11. The student who correctly wrote the equation is Gene, and the solution of the equation \(2=-8 - x\) is \(x = - 10\). 12. Equation: \(3x-1 = 4\), Solution: \(x=\frac{5}{3}\)
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7. given km || eg, ∠klj ≅ ∠fjh prove: km || ij options: a. alternate in…
1. Given: $KM\parallel EG$, $\angle KLI\cong\angle FIH$ 2. $\angle EFA\cong\angle FIH$ (Vertically - opposite angles) 3. $\angle KLI\cong\angle EFA$ (Transitive Property) 4. $KM\p…
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a diagram is shown. complete the conditional statement below about ∠mop…
Option 1: B. consecutive interior Option 2: A. supplementary Option 3: C. ∠MOP + ∠OPN Option 4: D. 180°
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b. a cylinder has a volume of 726 cubic inches and a radius of 8 inches…
4 inches
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read the following related text statements: 1. apps such as facebook an…
A. 1 and 2
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henry and liani have 200 feet of wood to frame a flower bed. henry want…
Henry's design would result in a larger flower bed because its area would be 2,500 square feet.
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a regular hexagon has an apothem measuring 14 cm and an approximate per…
$672$ $cm^{2}$
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1-6: find the equation of line dq. 1-7: find the point of intersection …
1 - 6: \(y - y_1=\frac{y_2 - y_1}{x_2 - x_1}(x - x_1)\) 1 - 7: The intersection point \((x,y)\) where \(x=\frac{c_{AB}-y_1 + \frac{y_2 - y_1}{x_2 - x_1}x_1}{\frac{y_2 - y_1}{x_2 -…
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how can you decompose the composite figure to determine its area? as a …
as a semi - circle, a hexagon, and a rectangle
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what is the area of the composite figure? (8π + 6) in² (8π + 12) in² (8…
$(8\pi + 12)$ in$^{2}$
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complete the steps, which describe how to find the area of the shaded p…
measure of the central angle
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triangle xyz is reflected over its hypotenuse to create a kite. what is…
9.2 units
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if each unit on the coordinate - plane represents one mile, what is the…
We need to find the perimeter of the polygon. First, assume the vertices of the polygon are \(A(-1,5)\), \(B(2,5)\), \(C(3,1)\), \(D(2, - 3)\), \(E(-3,2)\). 1. Use the distance fo…
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4. name three real - world objects that have the shape of a sphere.
1. Basketball 2. Globe 3. Balloon
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z varies jointly as x and y. translate into variation statement. if z =…
For the first part: The variation statement is $z = kxy$, $k = 6$, and when $x = 4,y = 3$, $z = 72$. For the triangle part: The variation statement is $a = kbh$, and $k=\frac{1}{2…
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how do the areas of the parallelograms compare? the area of parallelogr…
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
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find the perimeter and area of triangle lmk if each unit on the graph m…
Perimeter = 16 cm Area = 12 $cm^2$
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a regular heptagon has a radius of approximately 27.87 cm and the lengt…
2359 $cm^{2}$
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the regular octagon has a perimeter of 122 4 cm. which statements about…
The length of segment $YZ$ is $15.3$ cm; The measure of the central angle $\angle ZXW$ is $45^{\circ}$
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to find the area of parallelogram rstu, juan starts by drawing a rectan…
\(2(18 + 4)\)
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the owner of a minigolf course is replacing the artificial grass on a p…
$8\pi + 180$
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diego drew a scaled version of a polygon p and labeled it q. if the are…
$\frac{1}{3}$
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marina wants to install security cameras in her store, which has dimens…
18
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the window shown is the shape of a semicircle with a radius of 6 feet. …
$11$
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an equilateral triangle with side lengths equal to 12√3 units is inscri…
Apothem: 6; Radius: 12; Area of segment: $48\pi-36\sqrt{3}$ (for the blanks in order: 6, 12, 48, 36)
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a, b, and c are the centers of the 3 circles. select all the segments t…
B. $HA$, C. $CE$, D. $CD$, E. $BD$, F. $BF$
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7. this diagram is a straightedge and compass construction. a is the ce…
a. $\overline{AB}$ and the horizontal line through $M$ are a pair of perpendicular line segments. b. $\overline{AM}$ and $\overline{BM}$ are a pair of line segments with the same …
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a new business requires an office space of at least 110,000 square mete…
Since $242800>110000$, the area of the office shown in the floor plan is greater than what the business needs.
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writing an expression for the shaded regions. an equilateral triangle i…
Shaded area = area of the regular hexagon - area of the square+ area of the regular pentagon - area of the equilateral triangle
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4. this diagram is a straightedge and compass construction of a line pe…
A. \(EC\) ### Question 5
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what is the area of the composite figure? units²
62
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isla says the areas of the two shaded regions are equal. clara says the…
Isla is correct because each figure subtracts an equal area from the area of the square.
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for a class project, a teacher cuts out 15 congruent circles from a sin…
$(60 - 15\pi)$ square inches
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the area of one of the small right triangles outlined in blue is a cm²,…
B. \(8A + B\)
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3. reflect polygon p using line l. (from unit 1, lesson 4) (from unit 1…
The reflected polygon is formed by the steps above. (Since no specific coordinates are given, a visual - construction on the grid is required in practice to get the exact reflecte…
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2. describe a sequence of transformations that takes trapezoid a to tra…
A 90 - degree counter - clockwise rotation followed by a translation.
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2. describe a sequence of transformations that takes trapezoid a to tra…
2. A 90 - degree counter - clockwise rotation about a suitable point followed by a translation. 3. Reflect each vertex of polygon P over line $\ell$ using the rule for reflection …
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what are the coordinates of g, h, and i after a rotation about (0,0) by…
$G'=(3,1)$ $H'=(0,4)$ $I'=(-2,-2)$
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what are the coordinates of d, e, and f after a reflection over the y -…
$D'=(3,3)$, $E'=(-5,0)$, $F'=(-2,-2)$
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what are the coordinates of a, b, and c after a translation to the righ…
$A'(-2,6),B'(7,3),C'(4,0)$
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lesson 5 practice problems 1. a. here are some points. what are the coo…
The coordinates of $A'$, $B'$, $C'$ are found by adding 4 to the x - coordinate and 1 to the y - coordinate of $A$, $B$, $C$ respectively. The coordinates of $D'$, $E'$, $F'$ are …
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g area by counting square units ed practice enter the area of the room.…
(Without seeing the actual grid and counting the squares, we can't give a specific number. But the process is to count the full - square units within the room's boundary on the gr…
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a proof format that lists each step of the proof side by side with its …
1. Two - column 2. Flowchart 3. Indirect 4. Paragraph 5. False 6. Conjecture 7. Indirect 8. Deductive
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int math 2a pringle adding and subtracting polynomials pablo folds a st…
$12x^{2}-6;21$ inches
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solving a real - world application problem the spinner of the compass i…
$129.85$
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comparing areas of triangles which statement about the relative areas o…
More information is needed to compare.
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comparing areas of triangles which statement about the relative areas o…
More information is needed to compare.
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using heron’s formula. using herons formula, calculate the area of the …
$36.7$
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area and perimeter of triangles deriving an area formula see the figure…
If \(c\) is the base of \(\triangle ABC\), the height is \(CD\); \(\sin(A)=\frac{CD}{b}\); \(Area_{\triangle ABC}=\frac{1}{2}bc\sin(A)\)
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relating perimeter to area marta is making a flag with the given dimens…
360 54
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using the trigonometric area formula to derive an area formula for equi…
None of the given options are correct. The area of an equilateral triangle with side - length $a$ is $\frac{\sqrt{3}}{4}a^{2}$ which is equivalent to $\frac{1}{2}a^{2}\sin(60^{\ci…
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finding the area of a triangle. what information relevant to calculatin…
60
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calculating the area of a triangle using trigonometric area formula whi…
The first triangle (with side lengths 4 and 5 and included angle $25^{\circ}$)
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activity 2. solve what is being asked then round your answers to the ne…
1. $6.3$ square units 2. $117.8$ square cm 3. $14.7$ inches 4. Area of sector: $114.0$ square units, Length of arc: $20.7$ units 5. $17.3$ inches (assuming $\theta = 90^{\circ}$) …
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8. locate point o so that triangle moe is an isosceles right triangle.
# Explicación: ## Paso 1: Definir propiedades del triángulo isósceles rectángulo En un triángulo isósceles rectángulo, los catetos son iguales y el ángulo recto es de 90°. ## Paso…
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4. draw an isosceles obtuse triangle.
# Explicación paso a paso: ## Paso 1: Recordar las propiedades Un triángulo isósceles tiene dos lados iguales y un triángulo obtuso tiene un ángulo mayor que 90°. ## Paso 2: Dibuj…
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area and perimeter of triangles finding the area of an equilateral tria…
$27.7$
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3. draw an isosceles right triangle iso with ∠s = 90°.
# Explicación: ## Paso 1: Dibujar el ángulo recto Dibuja un ángulo de 90 grados y etiquétalo como ∠S. ## Paso 2: Dibujar los lados iguales Desde los rayos del ángulo recto, dibuja…
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area and perimeter of triangles calculating area using herons formula h…
Perimeter: $p = 30$ units Semi - perimeter: $s = 15$ units Area: $A\approx39.7$ square units
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activity 2. solve what is being asked then round your answers to the ne…
1. $6.3$ square units 2. $117.8$ square cm
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finding the perimeter of an isosceles triangle of known area the flag i…
The perimeter of the isosceles triangle is \(15.0\) ft.
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finding the perimeter of an isosceles triangle of known area the bottom…
The second - dropdown answer is: SAS information is known.
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look at this diagram: if $overrightarrow{eg}$ and $overrightarrow{hj}$ …
$69.1$
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look at this diagram; if $overleftrightarrow{np}$ and $overleftrightarr…
$62$
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look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarr…
$116.6$
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look at this diagram: if km and np are parallel lines and m∠noq = 124.7…
$55.3$
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look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarr…
$110.8$
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if mo and pr are parallel lines and m∠onl = 63.8°, what is m∠pqs?
$63.8$
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if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel l…
$128$
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look at this diagram: if rt and uw are parallel lines and m∠wvs = 122°,…
$58$
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look at this diagram: if mo and pr are parallel lines and m∠onq = 44°, …
$44$