Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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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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7. this diagram is a straightedge and compass construction. a is the ce…
a. The line segment joining the centers \(AB\) and the perpendicular bisector of their common chord. b. A radius of the circle centered at \(A\) and a radius of the circle centere…
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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…
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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finding the perimeter of an isosceles triangle of known area the flag i…
an isosceles triangle
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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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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°, …
$44$
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look at this diagram: if ln and oq are parallel lines and m∠opr = 117.8…
$117.8$
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if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel l…
$46$
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look at this diagram: if oq and rt are parallel lines and m∠ops = 121°,…
$59$
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look at this diagram; if bd and eg are parallel lines and m∠bca = 68°, …
$68$
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look at this diagram: if gi and jl are parallel lines and m∠lkh = 117°,…
$117$
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find the value of each variable and the measure of each angle x = 16 y …
$m\angle BMQ = 27^{\circ}$ $m\angle BMD = 153^{\circ}$ $m\angle DME = 27^{\circ}$ $m\angle EMQ = 153^{\circ}$
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part 1 of 2 find the value of each variable and the measure of each ang…
$x = 16$, $y = 13.5$, angles are $27^{\circ}$ each.
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find the value of each variable and the measure of each angle. one or m…
x = 34.4, y = 45.4
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find the value of each variable and the measure of each angle. x = (squ…
\(x = 16\), \(y = 36.4\)
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name two pairs of congruent angles in the figure. justify the answer. a…
A. ∠YPZ and ∠YPH according to the Right Angles Congruent Theorem
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name two pairs of congruent angles in the figure. justify the answer. s…
D. \(\angle YPZ\) and \(\angle YPW\) according to the Right Angles Congruent Theorem
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note that vertical angles are congruent and are thus equal in measure. …
$x = 18$
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utilizing the trigonometric triangle area formula in △pqr, the obtuse a…
13.5 square units
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find the value of the variable. x = □ (simplify your answer)
$\frac{96}{7}$
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use the appropriate theorem(s) to find the measure of ∠1. m∠1 = 120°
120°
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use the appropriate theorem(s) to find the measure of ∠1. m∠1 = □°
$120$
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what true statement can you make about angle measures based on the diag…
\(m\angle1 + m\angle2 = 180^{\circ}\) (the last option)
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what true statement can you make about angle measures based on the diag…
\(m\angle1 + m\angle2 = 180^{\circ}\)
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 48°. 2.…
$48$
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write a two - column proof. given m∠gfi = 141°. prove m∠efi = 45°. 1 m∠…
$x = 12$
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 48°. 2.…
144
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 48°. st…
$12x - 3$ (for the blank in step 6 of the given proof); $m\angle EFI = 48^{\circ}$ is proven as shown above.
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 48°. st…
The reason for step 5 in the two - column proof is Substitution Property (substituting \(x = 12\) into the expression for \(m\angle EFI\)). And we have proved that \(m\angle EFI =…
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 49°. st…
\(m\angle EFI = 48^{\circ}\)
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write a two - column proof. given (mangle gfi = 141^{circ}) prove (mang…
The reason for statement 2 is Angle Addition Postulate. And we have proven that $m\angle EFI = 48^{\circ}$.
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write a two - column proof. given: m∠gfi = 141°. prove: m∠efi = 48°. st…
$m\angle EFI = 48^{\circ}$
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name two pairs of congruent angles in the figure. justify your answers.…
C. ∠KPJ and ∠MPL
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deriving the trigonometric area formula from a different vertex the alt…
The first blank should be $\frac{h}{c}$, the second blank should be $c\sin(B)$, and the third blank should be $\frac{1}{2}ac\sin(B)$.
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name two pairs of congruent angles in the figure. justify your answers.…
A. They are vertical angles.
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name two pairs of congruent angles in the figure. justify your answers.…
B. $\angle KPJ$ and $\angle MPJ$
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prove the congruent complements theorem. if two angles are complements …
congruent
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prove the congruent complements theorem. if two angles are complements …
$\angle1\cong\angle3$
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prove the congruent complements theorem. if two angles are complements …
The blanks should be filled with 90 and 90 respectively, and the proof shows that if two angles are complements of the same angle, they are congruent.
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complete the following proof by filling in the blanks. given: ∠1≅∠4 pro…
2) Vertical angles are congruent. 3) $\angle1\cong\angle5$ 4) Vertical angles are congruent. 5) Transitive property of congruence.
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complete the following proof by filling in the blanks. given: ∠1≅∠a pro…
2) Vertical angles are congruent; 3) $\angle 1\cong\angle 6$; 4) Reflexive property of congruence; 5) Transitive property of congruence (using $\angle 1\cong\angle A$, $\angle A\c…
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in the figure below, the measure of $angle1 = 4x^{circ}$, the measure o…
$x = 20$, $y = 100$
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lies7a.u4l1eastasiaqc.fall25 use the map below to complete the followin…
South Korea; China
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the angles below form a linear pair. what is the measure of angle dbc? …
45°
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the supplement of a 110° angle = ?°
70
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∠acd and ∠dcb form a linear pair. if m∠dcb = 140°, then m∠acd = ?°
40
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if m∠cdf=(3x + 14)°, m∠fde=(5x - 2)°, and m∠cde=(10x - 18)°, find each …
\(x = 15\), \(m\angle CDF=59^{\circ}\), \(m\angle FDE=73^{\circ}\), \(m\angle CDE=132^{\circ}\)
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if m∠acd = 100°, then m∠ecb = ?°.
100
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if ∠bac is a right angle and m∠bad = 30°, then m∠dac = ?°.
60
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4.2 perimeter of quadrilaterals and triangles the perimeter of an equil…
18
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angles that form a linear pair add up to ?°. enter the number that belo…
180
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4.2 perimeter of quadrilaterals and triangles a rectangular cupboard ha…
4
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the diagram shows a triangle. what is the value of t? t =
\(21\)
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4.2 perimeter of quadrilaterals and triangles the perimeter of a rectan…
60
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two angles are complementary if they add up to ?°. enter the number tha…
90
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the diagram shows a triangle. what is the value of z? z =
$22$
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at the farm where you work as a manager, you need to replace the fence …
540