Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
what is the volume of this cylinder? round your answer to the nearest h…
$3358.33$
-
△abc is the image of △abc under a translation. determine the translatio…
A translation by 7 units to the left and 5 units up.
-
∠3 is a complement of ∠4, and m∠3 = 46°. find m∠4. ∠7 is a supplement o…
$m\angle4 = 44^{\circ}$ $m\angle8 = 71^{\circ}$ $m\angle UVW = 12^{\circ}$, $m\angle XYZ = 78^{\circ}$
-
round your answer to the nearest hundredth. 8 yd 13.2 yd cubic yards su…
364.82
-
what is the volume of this cylinder? round your answer to the nearest h…
$3606.43$
-
what is the volume of this triangular pyramid? 12 mm 8 mm 10 mm cubic m…
160
-
what is the volume of this triangular pyramid? 10 ft 14.4 ft 11 ft cubi…
264
-
the volume of this cube is 2,744 cubic centimeters. what is the value o…
14
-
for the following right triangle, find the side length x. round your an…
$7.21$
-
point c(-4, -3) is the image of c(-2, -3) under a translation. determin…
2, left
-
the volume of this cone is 1,610.82 cubic yards. what is the radius of …
$9$ yards
-
what is the best estimate for the area of the triangle, in square units?
18
-
the volume of this cone is 452.16 cubic millimeters. what is the radius…
6.00
-
the volume of this triangular prism is 1,080 cubic meters. what is the …
12
-
the volume of this triangular prism is 480 cubic millimeters. what is t…
10
-
in the figure, the triangles are similar. what is the distance d from t…
$21.4$
-
point q(3, 2) is the image of q(6, 4) under a translation. determine th…
A translation by 3 units to the left and 2 units down.
-
∠3 is a complement of ∠4, and m∠3 = 46°. find m∠4. ∠7 is a supplement o…
m∠4 = 50° m∠8 = 80° x (for ∠UVW and ∠XYZ)=22 x (for the triangle)=13 x (for vertical angles ∠JKL and ∠XKY)=2
-
date: 9/24/25 block:____ a homework sheet area of each shape below.
The volume of the first rectangular - prism is \(105\) cubic inches and the volume of the second rectangular - prism is \(480\) cubic inches.
-
find the missing angle of the triangle: - 3y - 2(2y + 4) = - 36
The angles of the triangle are 24°, 136°, and 20°.
-
a cell phone tower casts a 100 - foot shadow. at the same time, a 4 - f…
135
-
write an equation of the parabola in intercept form. an equation of the…
$y=-4(x - 2)(x - 4)$
-
a 4 in. by 6 in. picture is surrounded by matting that is 3 inches wide…
44 inches
-
nathan is standing next to a building. he is 6 feet tall, and the lengt…
215
-
find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 121^{\circ}$, $e = 101^{\circ}$, $f = 59^{\circ}$
-
find the measure of the missing angle. answer attempt 1 out of 2 a =
$24$
-
malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts…
$5.25$
-
give the coordinates of the point obtained from each reflection. (a) re…
(a) $(-6,-9)$ (b) $(6,9)$
-
malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts…
$5.25$
-
1 select all of the digital construction tools that do the same job as …
1. A. Point plotted on an object 2. Try moving elements of the diagram. If geometric relationships (such as side - length ratios, angle measures, parallelism, and perpendicularity…
-
find the measure of the missing angles. answer attempt 1 out of 2 d = e…
$d = 27^{\circ}$, $e = 56^{\circ}$, $f = 56^{\circ}$
-
which pairs of figures are congruent? which pairs are similar? congruen…
Top - left: Congruent? No, Similar? No Top - right: Congruent? No, Similar? No Bottom - left: Congruent? No, Similar? No Bottom - right: Congruent? No, Similar? Yes
-
9. geometry formula (lesson 1.5) the area (a) of a trapezoid is given b…
D. b1 = 2A/h - b2
-
5. points c, a, n, d and y are all collinear in that order. n is the mi…
15
-
5.) find the other endpoint of the line segment with the given endpoint…
The other endpoint is $(2,-1)$ ### 6. Let's assume the vertices of the original triangle are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. **Reflection over the y - axis**: The rule for reflec…
-
explain how to construct a line segment that is half the length of segm…
Construct the perpendicular bisector of segment \(AB\) to find its mid - point \(M\). The segments \(AM\) or \(MB\) are half the length of \(AB\).
-
find the measure of the missing angles. answer attempt 1 out of 2 b = □…
\(b = 21^{\circ}\), \(c = 159^{\circ}\)
-
1) construct a triangle and label each of the side lengths and angle me…
2a. \(x = 1\) 4a. \(x=\frac{1}{2}\) 4b. \(AB = 2\) inches
-
a doorway has the shape of a parabolic arch and is 9 feet high at the c…
4 feet
-
find the measure of the missing angles. answer attempt 1 out of 2 b = °…
\(b = 30^{\circ}\), \(c = 150^{\circ}\)
-
1. enter your answer. a dog is 0.45 meter tall and creates a 0.3 meter …
$3.3$
-
baking darren is baking a two - layer cake and the pan for each layer i…
126 cubic inches
-
challenge given that m∠a=(16x)°, m∠c=(7x + 30)°, and m∠d=129°, what is …
$132$
-
lecture 5. parallel lines (problem set) 9 - 10. for each of the followi…
**First figure**: - Alternate interior angles with respect to \(BD\) (formed by \(AD\parallel BC\)): \(\angle ADB\) and \(\angle DBC\), \(\angle CDB\) and \(\angle ABD\); with res…
-
challenge given that m∠a=(16x)°, m∠c=(7x + 30)°, and m∠d = 129°, what i…
$54$
-
the equation of a circle is given in standard form. complete parts a th…
(a) Center: \( (0,4) \); Radius: \( 4 \) (b) Plot the center at \((0,4)\) on the coordinate - plane. Then, from the center, mark points 4 units up, down, left, and right and draw …
-
what is the final transformation in the composition of transformations …
# Explicación: ## Paso 1: Observar la posición inicial y final Observamos la ubicación de ABCD y A''B'C''D'' en el plano cartesiano. ## Paso 2: Analizar las opciones - La traducci…
-
parallelogram fghj is the final image after the rule (r_{y - axis}circ …
# Explicación: ## Paso 1: Analizar la transformación Supongamos que la transformación $T_{1,2}(x,y)$ es una traslación de 1 unidad en la dirección del eje - x y 2 unidades en la d…
-
answer attempt 1 out of 2 answer: m∠bcd =
90
-
which rule describes the composition of transformations that maps △jkl …
$R_{0,90^{\circ}}\circ T_{0,-2}(x,y)$
-
square a\b\c\d\ is the final image after the rule $t_{-4,-1}circ r_{0,9…
# Explicación: ## Paso 1: Invertir la transformación La transformación aplicada es una rotación de 90 grados en el sentido de las agujas del reloj ($R_{0,90}$) seguida de una tras…
-
draw the reflection of the triangle across the y - axis.
# Explanation: ## Step1: Recall reflection rule The rule for reflecting a point $(x,y)$ across the $y -$axis is $(-x,y)$. ## Step2: Identify triangle vertices Suppose the vertices…
-
5) graph line ab and find the midpoint (using the midpoint formula) a(5…
- Mid - point of $AB$: $(1.5,-0.5)$ - 6. $x = 25,m\angle AXB = 33^{\circ},m\angle DXC = 33^{\circ}$ - 7. $x = 2,m\angle BGH = 135^{\circ},m\angle GHD = 45^{\circ},m\angle DHE = 13…
-
name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle Q$, $\angle PQN$
-
a composition of transformations maps △xyz to △xyz. the first transform…
# Explicación: ## Paso 1: Observar la ubicación relativa Al comparar la posición inicial de $\triangle XYZ$ con la posición de $\triangle X'Y'Z'$ antes de la rotación de $90^{\cir…
-
which rule describes the composition of transformations that maps figur…
# Explanation: ## Paso 1: Analizar la primera transformación Observando la figura, primero se ve una rotación de 180 grados en el punto \(Q\), representada como \(R_{Q,180^{\circ}…
-
name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle D$, $\angle BDE$
-
which rule describes the composition of transformations that maps δbcd …
$T_{5, - 6}\circ r_{y=-x}(x,y)$
-
challenge given that m∠a=(18x)°, m∠c=(8x + 23)°, and m∠d=113°, what is …
$67^{\circ}$
-
the rule $r_{y - axis}circ r_{0,90}(x,y)$ is applied to $\triangle abc$…
4
-
what is the final transformation in the composition transformations tha…
# Explicación: ## Paso 1: Observar la transformación Vemos que la figura G'H'J'K' se obtiene a partir de G'HJK y que la última transformación es una reflexión. ## Paso 2: Identifi…
-
name the marked angle in 2 different ways. answer attempt 1 out of 2
∠E, ∠DEF
-
challenge given that m∠a=(18x)°, m∠c=(8x + 23)°, and m∠d=113°, what is …
$m\angle B = 67^{\circ}$
-
which rule describes the composition of transformations that maps pre -…
$T_{-6,1}\circ r_{x - axis}(x,y)$
-
name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle Y$, $\angle ZYX$
-
challenge given that m∠a=(16x)°, m∠c=(8x + 24)°, and m∠d = 132°, what i…
$48$
-
biking rhea is using a coordinate grid to map out how far she biked fro…
10
-
etermining vertices after a sequence of transformations analyze the pre…
# Explicación paso a paso: ## Paso 1: Identificar coordenadas del pre - imagen Supongamos que las coordenadas de los vértices del pre - imagen son \(A(2,4)\), \(B(4,4)\), \(C(3,2)…
-
geometry a standard 2.1 - practice essential standard #2 - score: /20 c…
1. - a. Corresponding parts: $\angle A\cong\angle D$, $\angle ABC\cong\angle DCB$, $\angle ACB\cong\angle DBC$, $AB\cong DC$, $AC\cong DB$, $BC\cong CB$. - b. Yes, by HL theorem. …
-
challenge given that m∠a=(16x)°, m∠c=(8x + 24)°, and m∠d = 132°, what i…
\(48\)
-
name the marked angle in 2 different ways.
$\angle B$, $\angle EBC$
-
determining vertices after a sequence of transformations. analyze the p…
# Explicación: ## Paso 1: Identificar las coordenadas del pre - imagen Supongamos que las coordenadas de los vértices de la figura \(ABCD\) son \(A(1,3)\), \(B(3,3)\), \(C(2,1)\) …
-
line is defined as a a. a geometric shape that is open and moves from o…
a. a geometric shape that is open and moves from one point to another.
-
challenge given that m∠a=(16x)°, m∠c=(8x + 24)°, and m∠d = 132°, what i…
$48$
-
determining coordinates of the pre - image. the sequence of transformat…
# Explicación: ## Paso 1: Invertir la reflexión en el eje x La reflexión en el eje x tiene la regla $(x,y)\to(x, - y)$. Para revertirla, si el punto resultante de la reflexión en …
-
name the marked angle in 2 different ways. answer attempt 1 out of 2
∠H, ∠JHI
-
1) construct a triangle with one side - length of 5 cm and an angle mea…
1. Triangle constructed as described above. 2. \(x=-5\) 3. Distance calculated as described above (example distance is 5 for points \((1,1)\) and \((4,5)\)). 4. Triangle reflected…
-
3. rectangle dimensions (word problem notes) the perimeter of a rectang…
C. Length = 75 ft, Width = 44 ft
-
draw the image of quadrilateral abcd under a translation by 2 units to …
Plot points $(0,0),(-3,6),(-3,1),(-6,-1)$ and connect them to get the image of quadrilateral $ABCD$.
-
suppose that r and s are points on the number line. if rs = 9 and s lie…
9,27
-
use the following word problem to answer the questions on the right. ke…
(a) Inequality: $10\leq1.25x\leq15$ (b) Solution: $8\leq x\leq12$ (c) To graph the solution on a number line: Draw a number line. Mark points $8$ and $12$. Use closed circles at $…
-
name the figure below in two different ways. symbol: and
$\overleftrightarrow{UH}$, $\overleftrightarrow{HU}$
-
suppose that a and b are points on the number line. if ab = 14 and b li…
-9,19
-
identifying the rule for a composition of transformations which rule de…
# Explicación: ## Paso 1: Analizar la traducción Observando la gráfica, primero se ve que el rectángulo se traslada 2 unidades hacia arriba. La notación para una traducción de 2 u…
-
analyzing a sequence of transformations. analyze the diagram. what is t…
reflection across line m
-
which statement cannot be assumed based on the diagram? a) ∠gbe and ∠db…
A. $\angle GBE$ and $\angle DBC$ are adjacent.
-
for each pair of figures below, choose how they are related.
1. Translation 2. Reflection 3. Translation 4. Rotation
-
what additional information could be used to prove that the triangles a…
$\angle A\cong\angle T$ and $\angle B\cong\angle P$, $\angle A\cong\angle T$ and $\overline{BC}\cong\overline{PQ}$
-
analyzing a sequence of transformations. analyze the diagram. what is t…
# Explicación paso a paso: ## Paso 1: Observar la primera transformación Al comparar la figura original WXYZ con la figura intermedia W'X'Y'Z', vemos que la figura se ha movido. L…
-
5 from unit 1, lesson 5 noah is trying to bisect angle bac. he draws ci…
1. Noah's mistake: He drew circles with centers at $B$ and $C$ instead of on the rays $AB$ and $AC$ of the angle $\angle BAC$ he wants to bisect. 2. To draw an equilateral triangl…
-
name the figure below in two different ways.
\(\overline{VU}\), \(\overline{UV}\)
-
which figure represents the top view of this solid? in the figures, gra…
D.
-
what additional information is needed to prove that the triangles are c…
C. $\angle N\cong\angle M$
-
find the area of the shape. (sides meet at right - angles.)
32 square yards
-
the equation of a circle is given in standard form. complete parts a th…
B. There is no x - intercept A. The y - intercept(s) is/are $y=-7+\sqrt{3},-7 - \sqrt{3}$
-
(a) use the names of the sets to label the regions of the venn diagram.…
The large rectangle (entire diagram area) represents the set of real numbers. The right - hand side region (inside the red border) represents the set of irrational numbers. The le…
-
select all of the sets of side lengths that will form a triangle. * 7, …
The sets of side - lengths that form a triangle are 7, 6, 11; 9, 5, 13; 5, 5, 9. The largest possible whole - number length of the third side is 27.
-
estimate the slope of the line. find the slope of the line passing thro…
\(2\) ### 10. Decide whether the line with slope \(m = 2\) rises, falls, is horizontal, or is vertical
-
find the perimeter of the figure shown below. perimeter - cm 4 cm 3 cm
14
-
the circle below has center o, and its radius is 7 ft. given that m∠aob…
$\frac{7\pi}{6}$ ft