Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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in the triangle shown, what is the value of tan x°? a) $\frac{1}{26}$ b…
C. $\frac{26}{7}$
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select the correct answer from each drop - down menu. given: ∠xob≅∠aox.…
$m\angle XOB = 90^{\circ}$
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select the correct answer from each drop - down menu. given: ∠xob≅∠aox.…
$m\angle XOB = 90^{\circ}$
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question 2 not yet answered marked out of 2.00 flag question can you pr…
d. Yes, by SAS.
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12. what is the solution to the given equation? for the function f the …
1. $x = 4$ 2. B. $f(x)=3x - 8$ 3. C. $10$ 4. A. $-13$
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question 1 not yet answered marked out of 2.00 flag question can you co…
A. Yes, they are congruent: angle - side - angle congruence
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8) what is the rule for the transformation below? (x - 5,y - 2) (x - 5,…
(x + 5,y - 2)
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9) what is the rule for the transformation below? clear all 270° rotati…
180° Rotation
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8) what is the rule for the transformation below? clear all (x - 5, y -…
(x + 5, y - 2)
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7) write the rule for a dilation of 5 and a translation of 2 right and …
\((5x + 2,5y+6)\)
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6) which figures have a horizontal line of symmetry?
The second, fourth and fifth figures have a horizontal line of symmetry.
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5) which figure does not have a vertical line of symmetry? a) b) c) d)
a
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4) quadrilateral abcd is shown on the coordinate grid below. what is th…
b. \(ABCD\) was dilated by a scale factor of \(0.5\)
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3) quadrilateral abcd and its image, abcd, are shown on the coordinate …
a) $(x,y)\to(-y,x)$
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the pulley shown has a radius of 10.15 cm. suppose it takes 11 sec for …
(a) $\frac{70}{11}\approx6.36$ cm/s (b) $\frac{70}{11\times10.15}\approx0.63$ rad/s
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find the length of side $overline{cd}$ for the quadrilateral shown.
6
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2) triangle lmv is plotted on a coordinate plane. it is then dilated by…
None of the given options (a, b, c, d) are correct. If we assume there is a mis - typing in the options and we follow the correct transformation rule of first translating 5 units …
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the tires of a bicycle have radius 12.0 in. and are turning at the rate…
$16.4$
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for the diagram, determine the number of sides use the polygon angle su…
$n = 10$ Sum of Interior Angles = $1440$ degrees.
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1) triangle hfg and points h, f and g are shown on the coordinate grid.…
b) $(x,y)\to(x - 7,y + 2)$
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for the diagram, determine the number of sides use the polygon angle su…
$n = 10$ Sum of Interior Angles = $1440$ degrees
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f(x) = \\begin{cases}-x - 2&\\text{if }x < - 2\\\\\\frac{5}{2}x&\\text{…
Points to plot: For \(y=-x - 2\) (\(x < - 2\)): \((-3,1)\) (open - circle as \(x < - 2\)). For \(y=\frac{5}{2}x\) (\(x\geq - 2\)): \((-2,-5)\) (closed - circle as \(x\geq - 2\)), …
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consider the diagram and derivation. to derive a formula for the area o…
$\frac{1}{2}ab\sin(C)$
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fall 2025 geometry b wwva area and perimeter of triangles an equilatera…
7 square meters
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find the unknown angle in the figure given below and type your result i…
45
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solve for x in the following figure. answer:
$80^{\circ}$
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calculate the sum of the interior angle measures of a polygon with 27 s…
$4500^{\circ}$
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find the length of side $overline{bc}$ for the square shown.
5
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8. in the figure, eh || bi and bi || cj. a. what is m∠1? explain. b. wh…
a. m∠1 = 53° because vertical angles are congruent. b. m∠3 = 53° because corresponding angles formed by parallel lines are congruent.
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triangle lmn has sides measuring 7 meters and 6 meters and a perimeter …
9 square meters
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for the diagram, determine the number of sides use the polygon angle su…
$n = 8$ Sum of Interior Angles $= 1080$ degrees.
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the first figure in the sequence shown is an equilateral triangle. the …
A. 48 B. 12 C. 3
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a fan blade on a ceiling fan makes one complete rotation in 25 seconds.…
160.9 inches
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find the missing angle in each triangle and drop the appropriate value …
First triangle: 50° Second triangle: 25° Third triangle: 70°
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area and perimeter of triangles. what is the area of an equilateral tri…
62 square centimeters
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translate point c using (x + 5, y + 3). enter the new coordinates. c = …
$(2,5)$
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translate point a using (x - 3, y + 4). enter the new coordinates. (-1,…
\((-4,4)\)
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directions - find the sum of the interior angles in any octagon: sum of…
$1080$
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question 8 how many inches will the weight in the figure rise if the pu…
2.5 inches
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1.2.5 #1 - 95 lourdes has created the following challenge for you: she …
a. $(9,3)$ b. $(3,-3)$ c. $(-2,-7)$ d. $(-52,1483)$
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type the correct answer in each box. use numerals instead of words. a t…
side of triangular base $\approx2$ ft length of prism $\approx6$ ft
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b) were the angle measures preserved during this rotation? describe how…
b) Yes. Rotation is a rigid - motion transformation that preserves angle measures. c) Yes. Rotations preserve distance and angle measures, which are the characteristics of rigid t…
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use the distance formula to answer the following questions: (d = sqrt{(…
7. $d\approx 8.1$ 8. $d\approx 12.8$ 9. $d = 2$ 10. $d\approx 7.1$
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area and perimeter of triangles the perimeter of triangle xyz is 24 uni…
15.3 square units
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directions - find the sum of the interior angles in any octagon: sum of…
$1080$
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select the correct answer. a business award is in the shape of a regula…
A. $18,541$ $mm^{2}$
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question 7 which choice below provides the most reasonable estimate for…
580°
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translate point a using (x - 5, y + 3). enter the new coordinates. a(3,…
$(-2,3)$
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question 4 a central angle in a circle has a measure of 5 radians with …
Question 4: 10 Question 5: 247 Question 6: $\frac{16\pi}{9}$
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1.2.4 #1 - 85 plot the following points on another sheet of graph paper…
Los lados opuestos tienen la misma pendiente ($m_{AB}=m_{CD}=\frac{1}{2}$ y $m_{BC}=m_{AD}=-2$), lo que significa que son paralelos. Además, los lados adyacentes tienen pendientes…
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question 3 12 pts choose all angles that terminate in quadrant 2. (ther…
170 degrees, - 225 degrees, \(-\frac{7\pi}{6}\)
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3. rectangle abcd plotted at a(3,2), b(6,2), c(6,9) and d(3,9) is to be…
a) $A'=(-2,3)$; $B'=(-2,6)$; $C'=(-9,6)$; $D'=(-9,3)$ b) Yes. Rotations are rigid transformations which preserve angle measures. c) Yes. They preserve distance and angle measures.
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type the correct answer in the box. use numerals instead of words. a co…
427
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select the correct answer from each drop - down menu. a metronome is sh…
1000
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c) are reflections rigid transformations? explain.
Yes, because reflections preserve distance and angle - measure.
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7. complete the two - column proof. given: x || y prove: ∠3 ≅ ∠5 statem…
The two - column proof is completed as follows: | Statements | Reasons | |--|--| | 1. $x\parallel y$ | Given | | 2. $m\angle3 + m\angle8=180^{\circ}$ | Same - side interior angles…
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question 2 determine which quadrant each angle will terminate. type 1, …
3 2 2 1 4 4 2 2
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select the correct answer from each drop - down menu. a metronome is sh…
The best model for the metronome is a trapezoidal prism. The approximate surface area is 800 square centimeters.
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7. complete the two - column proof. given: x || y prove: ∠3 ≅ ∠5 8. in …
a. $m\angle1 = 53^{\circ}$ because vertical angles are congruent. b. Since $x\parallel y$, $\angle3$ and $\angle5$ are corresponding angles. Given $m\angle3 + m\angle8=180^{\circ}…
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question 1 choose all angle measures below that are coterminal to 240°.…
240 degrees, 600 degrees
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select the correct answer. a silo shown in the diagram is to be built o…
B. $2,374\ m^{2}$
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2. △abc plotted at a(-4,2), b(-7,2) and c(-7,7), is to be reflected ove…
a) $A'=(4,2)$, $B'=(7,2)$, $C'=(7,7)$ b) Yes. A reflection is a rigid - transformation which preserves distance between points. c) Yes. Reflections preserve distance and angle mea…
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select the correct answer a waffle is rolled to make a cone - shape wit…
C. decrease radius by 0.5 cm
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△abc plotted at a(4,2), b(8,2) and c(6,8), is to be translated (x,y)→(x…
a) $A'=(-6,-3)$, $B'=(-2,-3)$, $C'=(-4,-9)$ b) Yes. Because translation and reflection are rigid - transformations which preserve angle measures. c) Yes. Because translation and r…
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are rotations rigid transformations? explain.
Yes, rotations are rigid transformations because they preserve distance and angle - measure.
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3.) find the distance of the girl on the right (b) to the remote contro…
# Explicación: ## Paso 1: Encontrar el tercer ángulo del triángulo La suma de los ángulos internos de un triángulo es 180°. Dados los ángulos 40° y 45°, el tercer ángulo $\theta$ …
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find the midpoint of each diagonal of a square with side of length s. d…
The mid - point of the diagonal with endpoints \((0,0)\) and \((s,s)\): \((\frac{s}{2},\frac{s}{2})\) The mid - point of the diagonal with endpoints \((0,s)\) and \((s,0)\): \((\f…
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2.) find the distance from the rangers tower to the tree on fire. round…
# Explicación: ## Paso 1: Encontrar el tercer ángulo del triángulo La suma de los ángulos internos de un triángulo es 180°. Sea el tercer ángulo $\theta$. Entonces $\theta=180^{\c…
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1.) find the distance of the girl on the left (a) to the remote control…
# Explicación: ## Paso 1: Encontrar el tercer ángulo del triángulo La suma de los ángulos internos de un triángulo es 180°. Dados los ángulos 40° y 45°, el tercer ángulo $\theta$ …
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3. rectangle abcd plotted at a(3,2), b(6,2), c(6,9) and d(3,9) is to be…
a) $A'=(-2,3)$, $B'=(-2,6)$, $C'=(-9,6)$, $D'=(-9,3)$ b) Yes. Rotation is a rigid transformation which preserves angle measures. c) Yes. Rotations preserve distance and angle meas…
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find the midpoint of each diagonal of a square with side of length s. d…
The mid - point of the diagonal with endpoints \((0,0)\) and \((s,s)\) is \((\frac{s}{2},\frac{s}{2})\) The mid - point of the diagonal with endpoints \((0,s)\) and \((s,0)\) is \…
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2. △abc plotted at a(-4,2), b(-7,2) and c(-7,7), is to be reflected ove…
2. a) $A'=(4,2)$, $B'=(7,2)$, $C'=(7,7)$ b) Yes. Reflections are rigid transformations that preserve distance, and the perpendicular distance from the line of reflection for pre -…
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find the value of the variable. 4. (2r + 3)° 89°
$r = - 1$
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find the area of a rectangle with a length of 10 cm and a width of 7 cm…
$70$ $cm^{2}$ ### Question 2: Find the area of a triangle with a base of 4 meters and a height of 6 meters
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find the distance between the two points.
$\sqrt{37}$
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what is the area of triangle abc? round to the nearest tenth of a squar…
58.8 square units
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find the distance between the two points.
$61$
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rigid or not rigid transformations 1. △abc plotted at a(-4,2), b(-7,2) …
a) $A'=(4,2)$, $B'=(7,2)$, $C'=(7,7)$ b) Yes. Reflections are isometries and preserve distance. c) Yes. Reflections preserve size and shape (congruence). For the rotation problem:
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area and perimeter of triangles the area of parallelogram wxyz is appro…
40 units
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c) are translations rigid transformations? explain.
Yes, translations are rigid transformations because they preserve distance and angle - measure.
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lian is making a banner for the school gym. she cut three pieces of fab…
417 square inches
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b) was length preserved during this translation? describe how you made …
Yes. Translation is a rigid - motion which preserves lengths.
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triangle pqr has sides measuring 9 feet and 10 feet and a perimeter of …
22 square feet
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fall 2025 geometry b wwva area and perimeter of triangles which triangl…
The first and the second triangles.
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fall 2025 geometry 8 wwva area and perimeter of triangles what is the a…
8.4 square units
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area and perimeter of triangles what is the area of triangle def? round…
18.0 square units
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c) are translations rigid transformations? explain.
Yes, translations are rigid transformations because they preserve distances and angles.
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saul and felipe are standing at the corner of a rectangular park. they …
$2.2$
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triangle abc is an equilateral triangle with side lengths labeled a, b,…
$\frac{ab\sin(60^{\circ})}{2}$
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a hot - air balloon, headed due east at an average speed of 15 miles pe…
$d=\sqrt{484t^{2}+30625}$
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two vehicles, a car and a truck, leave an intersection at the same time…
$51t$
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rigid or not rigid transformations 1. △abc plotted at a(-4,2), b(-7,2) …
a) $A'=(6,-6)$, $B'=(3,-6)$, $C'=(3,-1)$ b) Yes. Translation is a rigid - motion and moves every point the same distance and in the same direction, so distances (lengths) between …
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alissa is framing a rectangular picture with length 10 inches and width…
\(10 + 2x\)
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a major league baseball \diamond\ is actually a square, 90 feet on a si…
$127.28$
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fall 2025 geometry b wwva area and perimeter of triangles the area of t…
30 units
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4. △rap plotted at r(1,1), a(2,4) and p(4,2) is to be dilated by a scal…
a) For $\triangle RAP$: $R'=(2,2)$, $A'=(4,8)$, $P'=(8,4)$; for $\triangle ABC$: $A'=(-6,-3)$, $B'=(-2,-3)$, $C'=(-4,-9)$ b) For $\triangle RAP$: No, lengths of the image are 2 ti…
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which of the following transformations carry this regular polygon onto …
B. reflection across $l_2$, C. rotation of $60^{\circ}$ counterclockwise
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2. determine the coordinates of the image, plot the image and determine…
a) $A'(-6,1),B'(-5,4),C'(-1,1)$; Isometry? Yes; Transformation Type: Translation b) $A'(4,1),B'(-2,0),C'(4,-4)$; Isometry? No; Transformation Type: Non - isometric transformation …
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what type of angles are < 8 & < 14? answer attempt 3 out of 3 alternate…
B. Alternate Exterior
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what type of angles are ∠8 & ∠14? answer attempt 3 out of 3 alternate i…
Corresponding