几何
三角形、圆、解析几何与证明题。
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find the area of this square. 7 cm
$49$
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find the perimeter of the rectangle. include the unit. 11 cm 24 cm
70 cm
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find the perimeter. include the unit. 16 ft 6 ft 17 ft 14 ft
$53$ ft
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5. list the geometric terms youve learned that have measurable quantiti…
5. Términos geométricos medibles: longitud (por ejemplo, de un segmento de recta), área (de una figura plana como un triángulo o un rectángulo), volumen (de un cuerpo tridimension…
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(a) an angle measures 98°. what is the measure of its supplement? (b) a…
measure of the supplement: $82^{\circ}$ measure of the complement: $62^{\circ}$
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in the figure below, m∠1 = 50°. find m∠2.
$40$
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4. which coordinate - notation correctly describes a transformation tha…
# Explicación: ## Paso 1: Analizar la traducción Observando la ubicación de la figura verde y la figura roja, vemos que la figura se mueve 2 unidades hacia la derecha (aumentando …
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in the figure below, m∠4 = 138°. find m∠1, m∠2, and m∠3.
$m\angle1 = 138^{\circ}$, $m\angle2 = 42^{\circ}$, $m\angle3 = 42^{\circ}$
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which ellipse has an eccentricity of 0.0?
The circle (the ellipse that looks like a perfect round shape in the options)
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in the figure below, (mangle{jkm}=89^{circ}, mangle{nkm}=21^{circ}), an…
$47$
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the graph shows a parabola. what is the equation of its axis of symmetr…
$x = - 1$
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in the figure below, (mangle abd = 75^{circ}), and (mangle 2) is two ti…
$25$
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use the figure to complete each part. (a) name the sides of ∠1. and (b)…
(a) $\overrightarrow{BA}$, $\overrightarrow{BC}$ (b) B (c) ∠2, ∠DBC
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8. the arc length ($l_a$) of a sector of a circle with angle measure $x…
A. $r=\frac{360\cdot L_a}{2\pi x}$
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rectangle wxyz, shown below, is rotated 90 degrees clockwise around the…
Longitud de $X'Y'$: 7 Longitud de $X'W'$: 3 Longitud de $W'Z'$: 7 Longitud de $Y'Z'$: 3
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which of these graphs have rotational symmetry about the origin? (selec…
A. Graph A, D. Graph D
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the figure shows lines x, y and z intersecting to form angles a, b, c, …
# Explicación: ## Paso 1: Definición de perpendiculares Dos líneas son perpendiculares si forman un ángulo de 90°. En el diagrama, los ángulos formados por las líneas \(x\) y \(z\…
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10. suppose $overline{rt}congoverline{nd}$ and $angle rcongangle n$. wh…
$\angle T\cong\angle D$
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write a congruence statement for the pair of triangles shown. o △uts≅△r…
$\triangle UTS\cong\triangle RTS$
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b. in △stu, which angles include $overline{us}$? ∠s and ∠t ∠t and ∠s ∠t…
\(\angle S\) and \(\angle U\)
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2. what are the vertices of the parallelogram in this figure?
A, B, H, E
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7 given: ∠n≅∠s, line l bisects tr at q. prove: △nqt≅△sqr. which stateme…
\(\overline{TQ}\cong\overline{QR}\)
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8 look at the figure. name the postulate or theorem you can use to prov…
A. AAS Theorem
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line r is shown in the coordinate plane. which is the best definition o…
# Explicación breve: Un segmento de recta está definido por sus dos extremos y todos los puntos que se encuentran entre ellos en la recta que los contiene. En este caso, el segmen…
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5. write a congruence statement for the pair of triangles △tuw≅△uvw △tu…
$\triangle TUW\cong\triangle VUW$
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figure abc is reflected across the x axis. if m∠a = 40° and the m∠c = 5…
# Explicación paso a paso: ## Paso 1: Comprender la reflexión La reflexión de una figura en el eje x no cambia las medidas de los ángulos. Las transformaciones isométricas, como l…
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4. in △tr, which side is included between ∠r and ∠t? a. b. c. d.
\(\overline{FT}\)
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given: ∠lkm = ∠jkm, ∠lmk = ∠jmk. prove: △lkm ≅ △jkm. choose the word th…
B. Reflexive
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2. in △rst, which side is included between ∠r and ∠s? ○ (overline{st}) …
D. \(\overline{RS}\)
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for point b tell which quadrant it ends up in after each transformation…
| Transformación | Cuadrante | |--|--| |$(x,y)-(x + 5,y - 6)$|Cuarto| |$(x,y)-(-x,-y)$|Tercero| |$(x,y)-(x,-y)$|Cuarto| |$(x,y)-(-x,y)$|Segundo|
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given ∠d ≅ ∠t, ∠e ≅ ∠u, fe ≅ ou. write a congruence statement for the p…
B. $\triangle TUX\cong\triangle DOE$
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4. which coordinate notation correctly describes a transformation that …
# Explicación: ## Paso 1: Analizar las transformaciones geométricas Una traducción se representa como \((x,y)\to(x + a,y + b)\), una reflexión en el eje \(x\) es \((x,y)\to(x,-y)\…
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triangle abc is shown in the xy - coordinate plane. the triangle will b…
# Explicación: ## Paso 1: Propiedades de rotación de 180 grados Una rotación de 180 grados en el plano cartesiano alrededor del origen $(0,0)$ cambia las coordenadas de un punto $…
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if two lines in the same plane do not intersect, the lines must be para…
1. Correct 2. Incorrect 3. Correct
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classify each statement in the table as correct or incorrect. select on…
# Explicación paso a paso: ## Paso 1: Recordar la definición de líneas paralelas Dos líneas en el mismo plano que no se intersectan son paralelas. Pero si las líneas no están en e…
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given: ad ≅ cb, ∠dac ≅ ∠bca. prove: △adc ≅ △cba. look at the proof. nam…
B. SAS Postulate
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9. what additional information do you need to prove $\triangle abccong\…
\(\overline{AC}\cong\overline{EC}\)
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8 look at the figures. how can you prove these triangles are congruent?…
B. $\triangle ABC\cong\triangle DEF$ by the SAS Postulate.
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∠abc≅∠def ∠cab≅∠fde ∠bca≅∠efd
B. $\angle CAB\cong\angle FDE$
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given: ab ≅ ed, ad ≅ eb prove: △abd ≅ △edb ab ≅ ed given ad ≅ eb given …
A. SSS Postulate
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quiz: triangle congruence by sss 1. what additional information do you …
\(\overline{AC}\cong\overline{DF}\)
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4. look at the figure. how can you prove △abd and △acd are congruent? i…
$\triangle ABD\cong\triangle ACD$ by the SAS Postulate.
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how do you construct congruent segments, segment bisectors, angles, and…
To construct congruent segments, use a compass to copy a length. For segment bisectors, use a compass to create arcs from both endpoints and connect the intersection points of the…
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given: $overline{ad}congoverline{cb},angle adbcongangle cbd$ prove: $\t…
B. SAS Postulate
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how do you know that each of these constructions is valid when it is ma…
These constructions are valid when they follow the rules and principles of Euclidean geometry such as congruence postulates, circle properties, and straight - line axioms.
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what additional information do you need to prove △abc ≅ △def by sas? △a…
$\angle ABC\cong\angle DEF$
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1 look at the figures. how can you prove the triangles are congruent? △…
$\triangle ABC\cong\triangle DEF$ by the SSS Postulate.
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which angles are consecutive interior angles? ∠ihk and ∠jkh ∠ihk and ∠i…
$\angle IHK$ and $\angle JKH$
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which angles are corresponding angles? ∠mli and ∠kln ∠hil and ∠hig ∠kln…
$\angle KLN$ and $\angle HIG$
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which of the following represents the interval (0, ∞) on a number line?…
A line extending to the right from 0 with an open circle at 0
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pr and su are parallel lines. which angles are adjacent angles? ∠pqt an…
∠PQT and ∠PQO
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bd and eg are parallel lines. which angles are corresponding angles? ∠e…
$\angle EFC$ and $\angle BCA$
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km and np are parallel lines. which angles are supplementary angles? ∠p…
$\angle POQ$ and $\angle POL$
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which angles are adjacent angles? ∠vux and ∠tus ∠vux and ∠yxz ∠vux and …
$\angle VUX$ and $\angle YXZ$, $\angle VUX$ and $\angle WXU$
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which angles are adjacent angles? ∠hik and ∠gfi ∠hik and ∠efi ∠hik and …
$\angle HIK$ and $\angle JIK$
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jl and mo are parallel lines. which angles are vertical angles? ∠mnk an…
$\angle MNK$ and $\angle ONP$
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6. for the following general equations of circles, complete the square …
a. Standard form: $(x + 7)^{2}+(y + 6)^{2}=49$, Center: $(-7,-6)$, Radius: $7$ b. Standard form: $(x - 16)^{2}+(y - 7)^{2}=9$, Center: $(16,7)$, Radius: $3$
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su and vx are parallel lines. which angles are adjacent angles? ∠str an…
$\angle STR$ and $\angle UTW$
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if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel l…
$58^{\circ}$
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look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarr…
$66$
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if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel l…
$122$
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17. look at the figure. if △imc≅△klj, then ∠m is ○ ∠j ○ ∠b. ○ ∠l ○ ∠k.
$\angle J$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$140$
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1. look at the figure. if △imc ≅ △jbk, then ____ = jb. ○ (overline{mc})…
$\overline{MC}$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$52$
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look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarr…
$120^{\circ}$
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5. find the distance between the two points, (-6,4) and (-1,8). state t…
Simplest radical form: $\sqrt{41}$ Decimal form: $6.40$
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find the length of the third side. if necessary, write in simplest radi…
$8$
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find the length of the third side. if necessary, write in simplest radi…
$3$
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find the length of the third side. if necessary, write in simplest radi…
$\sqrt{33}$
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13. write an algebraic formula for a rotation in which the preimage coo…
The algebraic formula for the rotation is \((x,y)\to(-x,-y)\) ### 14.
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13 write an algebraic formula for a rotation in which the preimage coor…
### 13 # Explanation: ## Step1: Analyze pre - image and image points Pre - image points are \(A(1,-3)\), \(B(1,1)\), \(C(5,1)\) and image points are \(A'(-1,3)\), \(B'(-1,-1)\), \…
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los siguientes triángulos son congruentes y sus partes correspondientes…
# Explicación: ## Paso 1: Identificar ángulos congruentes Los ángulos correspondientes en triángulos congruentes son iguales. Si $\triangle ABC\cong\triangle XYZ$, entonces $\angl…
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hallar el valor de x.
# Explicación: ## Paso 1: Aplicar la propiedad de ángulo exterior El ángulo exterior de un triángulo es igual a la suma de los dos ángulos interiores no adyacentes. Entonces, $140…
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4. what are all the x - intercepts? (-2.55,0), (2.55,0) (0, 36) (-3,0),…
# Explicación paso a paso: ## Paso 1: Definición de intersección con el eje x Las intersecciones con el eje x son los puntos donde la curva cruza el eje x, es decir, donde $y = 0$…
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1) rotation 180° about the origin 3) rotation 90° counterclockwise abou…
For 180 - degree rotation about the origin, use the rule $(x,y)\to(-x,-y)$ for each vertex of the polygon. For 90 - degree counter - clockwise rotation about the origin, use the r…
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if △sqr is similar to △spt, what is the length of st? 13 in 5.2 in 4.8 …
2 in
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10. the figure below shows similar triangles abc and ade. based on the …
10 cm
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9. the sides of two equilateral triangles are in the ratio 3:5. if a si…
40 inches
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complete the proof that ∠yxz≅∠sut. statement reason 1 (overleftrightarr…
Transitive property of congruence
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which is an x - intercept of the graphed function? (-1, 0) (0, 4) (0, -…
A. (-1, 0)
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analyzing graphs which lists all of the x - intercepts of the graphed f…
(1, 0), (2, 0), and (-3, 0)
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complete the proof that ∠txu ≅ ∠tux. statement reason 1 $overleftrighta…
Transitive Property of Congruence
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which point is inside of the parallelogram? a. (7,5) b. (5,6) c. (6,8) …
B. (5,6)
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clasificar cada figura como una recta, semirrecta o segmento de recta. …
# Explicación: ## Paso 1: Identificar la figura (a) La figura (a) tiene dos puntos finales, por lo que es un segmento de recta. Se escribe $\overline{EF}$. ## Paso 2: Identificar …
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which point is outside of the parallelogram? a. (5,5) b. (5,4) c. (4,5)…
D. (5, 6)
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solve for y.
$5\sqrt{2}$
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how many lines of symmetry does the picture have? a. 2 b. 1 c. 0 d. 3
C. 0
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trazar un ángulo de 85° utilizando la regla y el transportador.
# Explicación: ## Paso 1: Coloca la base del transportador en la línea Asegúrate de que la línea coincida con la base del transportador. ## Paso 2: Encuentra el 85° en el transpor…
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en la siguiente figura, n se encuentra entre m y p. hallar la ubicación…
La ubicación de $N$ divide el segmento $MP$ en una razón de $4$ a $1$, es decir, $N$ está a $\frac{4}{5}$ de la distancia desde $M$ hasta $P$.
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en el △abc, ab || de. dado que ca = 30, cd = 21 y ab = 40, hallar de. d…
# Explicación: ## Paso 1: Aplicar teorema de triángulos semejantes Como $\overline{AB}\parallel\overline{DE}$, entonces $\triangle CDE\sim\triangle CAB$. Entonces, $\frac{CD}{CA}=…
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hallar el volumen de un cilindro oblicuo con una base de 6.5 cm de radi…
# Explicación: ## Paso 1: Escribir la fórmula del volumen del cilindro El volumen $V$ de un cilindro se calcula con la fórmula $V=\pi r^{2}h$, donde $r$ es el radio de la base y $…
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your name 1. days of the week and months choose and circle the correct …
1. Days of the Week and Months: Requires knowledge of Italian day and month names. 2. Greetings: - Walk into an office at 7 pm: Buonasera (Good evening). - Someone shakes your han…
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alexis created a new tessellation using the same squares. what transfor…
Translation
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part a based on the diagram above and the given information, what is th…
Part A: 72° Part B: alternate exterior angles are congruent
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solve quickly. a sheet of paper 19 cm by 8 cm is rolled into a cylinder…
i) Diameter $\approx6.05$ cm ii) Area of the base $\approx28.75$ $cm^{2}$ iii) Curved - surface area = 152 $cm^{2}$ iv) Volume $\approx229.94$ $cm^{3}$
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parallel lines $overleftrightarrow{ef}$ and $overleftrightarrow{ab}$ ar…
$x = 2$
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given $overleftrightarrow{bh}paralleloverleftrightarrow{rp}$, $angle hx…
The reason for step 5 is the Converse of the Alternate Interior Angles Theorem.
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problem 5 this diagram shows three lines with some missing angle measur…
The missing angles (clock - wise starting from the top - left intersection near the $70^{\circ}$ angle): $110^{\circ},70^{\circ},110^{\circ}$; at the other intersection (clock - w…
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problem 9: spiral review determine the missing angle measure in the equ…
60°