几何
三角形、圆、解析几何与证明题。
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triangle abc is an isosceles triangle in which ab = ac. what is the per…
$10+\sqrt{10}$ units
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based on the information given, is the quadrilateral a parallelogram? e…
The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.
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14 ft. 10 ft. which diagram is a net for this prism? 25 ft. 25 ft. 10 f…
The first diagram on the left
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10. a 6 - ft ladder is placed against a wall with its base 2.5 ft from …
$5.45$ ft
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lmnp is a parallelogram. what additional information would prove that l…
LP ⊥ PN
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in the diagram, wz = √26. what is the perimeter of parallelogram wxyz? …
$2\sqrt{26}+8$ units
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what is the perimeter of kite wxyz? 2√53 + 2 units 2√53 + 5 units 2√53 …
$2\sqrt{53}+10$ units
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the vertices of a quadrilateral in the coordinate plane are known. how …
A. Use the distance formula to find the length of each side, and then add the lengths.
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a kite has a perimeter of 70 centimeters. one of the shorter sides meas…
16 centimeters, 19 centimeters, and 19 centimeters
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problems 3 - 4: here are the dimensions of the colombian flag. 3. creat…
Draw a rectangle with a length of 9 cm. Divide the rectangle into three horizontal stripes. The top stripe is yellow and 3 cm tall, the middle stripe is blue and 1.5 cm tall, and …
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example 5 write the converse, inverse, and contrapositive of each true …
### 18. - **Conditional statement**: If you are seated in rows 10 to 20, you may now board. - **Converse**: If you may now board, then you are seated in rows 10 to 20. **False**. …
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2. a rectangle with a length of 20 centimeters and an unknown width of …
$x = 8$
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which quadrilateral is a trapezoid?
The quadrilateral with vertices \(A,B,C,D\) (the first figure) is a trapezoid.
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quadrilateral tuvw is a rhombus. what is the value of y? 10y - 43 y + 1…
$6$
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lesson practice 7.1.08 name: problems 1 - 2: a book measures 6 inches w…
1. 54 inches 2. The scale is 6:1. The width of the book is 6 inches and on the billboard it is 36 inches. Since $\frac{36}{6}=6$, each dimension on the billboard is 6 times the ac…
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1. a rectangle has a length that is three feet more than twice its widt…
(a) $l = 2w+3$ (b) 66 feet (c) Width $w = 12$ feet, Length $l = 27$ feet
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find the length x.
$4$
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what is the measure of ∠lmn in kite klmn? 49° 99° 106° 155°
49°
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find the length x.
4
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the diagram shows quadrilateral mnpq. what is the length of line segmen…
10 units
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select all the trapezoids.
All of the given figures are trapezoids.
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question in the diagram below, m∠cih = 107° and m∠bgd = 39°, find m∠fhg.
$68^{\circ}$
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select all the trapezoids.
All the figures shown are trapezoids.
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: line; How to write it: \(\overleftrightarrow{GH}\) (b) Type: ray; How to write it: \(\overrightarrow{KJ}\) (c) Type: line segment; How to write it: \(\overline{LM}\)
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circle the misspelled word and write it correctly in the space below. g…
The misspelled word is "greatful", the correct spelling is grateful.
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1. a rectangle has a length that is three feet more than twice its widt…
(a) $l=2w + 3$ (b) 66 feet
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29. find the measures of the numbered angles.
$\angle1 = 67^{\circ}$, $\angle2 = 113^{\circ}$, $\angle3 = 113^{\circ}$
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find m∠z and m∠w in parallelogram wxyz. y x 5p - 43° z w 4p - 83° m∠z =…
\(m\angle Z = 53^{\circ}\), \(m\angle W = 127^{\circ}\)
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: ray, How to write it: $\overrightarrow{CD}$ (b) Type: line segment, How to write it: $\overline{EF}$ (c) Type: line, How to write it: $\overleftrightarrow{BA}$
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find tu and ru in parallelogram rstu.
$TU = 38$ $RU = 86$
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find m∠e and m∠d in rhombus defg. e 2y f 5y - 16° d g m∠e = ° m∠d = °
\(m\angle E = 56^{\circ}\) \(m\angle D = 124^{\circ}\)
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the diagram shows isosceles trapezoid lmnp. it also shows how line segm…
$80^{\circ}$
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given m || n, find the value of x and y.
\(x = 16\), \(y=27\)
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find cd and bc in parallelogram bcde. cd = bc =
$CD = 42$ $BC = 19$
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determine the value of x that would make quadrilateral lmno a parallelo…
B. 9
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find hi in parallelogram hijk.
33
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find m∠u in rhombus stuv. s 2z - 24° v z u m∠u = °
$112$
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given: $overline{ae}congoverline{ce};overline{de}congoverline{be}$ prov…
In the blanks: $\triangle AED$, SAS, $\angle ACB$, alternate - interior angles.
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which quadrilateral is a kite?
The first quadrilateral \(ABCD\) (the top - most quadrilateral in the image)
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quadrilateral ghij is a kite. what is fj? fj =
72
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quadrilateral efgh is a kite. what is dg? dg =
30
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if $overline{km}$ is drawn on this quadrilateral, what will be its leng…
C. 40 units
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quadrilateral vwxy is a kite. what is uy? uy =
\(36\)
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quadrilateral wxyz is a kite. what is vx? 20 12 vx =
16
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continue reading about deep - sea treasure hunters. use the close readi…
C. Divers must identify sites that are legal before they collect artifacts.
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quadrilateral wxyz is a kite. what is vz? vz =
55
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if quadrilateral pqrs is a kite, which statements must be true? select …
\(\overline{QP}=\overline{QR}\), \(\overline{PM}=\overline{MR}\), \(\angle PQR=\angle PSR\)
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quadrilateral stuv is a kite. what is rt? 48 80 rt =
$64$
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name angles of a triangle the sum of the angles in a triangle = 180 deg…
(a) $x = 50$ (b) $x = 50$ (c) $x = 18$ (d) $x = 44$ (e) $x = 12$
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the figure is a kite. what is the length of the kites longer diagonal? …
40 units
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a town planner wants to build two new streets, elm street and garden ro…
$72^{\circ}$
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quadrilateral ghij is a kite. what is fg? fg =
$36$
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quadrilateral tuvw is a kite. what is st? st =
21
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quadrilateral tuvw is a kite. what is m∠v? m∠v =
$95$
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quadrilateral efgh is a kite. what is m∠e? m∠e = °
$128$
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quadrilateral tuvw is a kite. what is m∠w? m∠w = °
$116$
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quadrilateral stuv is a kite. what is m∠v? s 119° u 97° m∠v = □°
$72$
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quadrilateral abcd is a kite. what is m∠d? a 61° c 77° m∠d = □ °
$111$
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quadrilateral cdef is a kite. what is m∠c? m∠c = °
$80$
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use each of these terms or phrases once to complete the sentences. prop…
1. slope 2. proportional relationship 3. run 4. rise 5. $y_2 - y_1$, $x_2 - x_1$
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what is the volume of this figure? 4 m 2 m 8 m 5 m 9 m cubic meters
$228$
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find the distance between the points a and b given below. (that is, fin…
\(5.66\)
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if (wx = 3s), (vy=-2s + 19), and (uz = 5s+2), what is the value of (s?)
\(s = - 1\)
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quadrilateral defg is an isosceles trapezoid and m∠g = w + 72°. what is…
$55$
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sv is the midsegment of the trapezoid tuwx. if wx = z - 15, sv = z, and…
$76$
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ux is the midsegment of the trapezoid stvw. if st = y, ux = -y + 100, a…
$40$
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quadrilateral hijk is an isosceles trapezoid, hj = 2a + 24, and ik = 8a…
$8$
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adage decree evolve preclude servile citadel discordant hover rubble wr…
1. discordant 2. decree 3. evolved 4. wrangle 5. adage 6. servile 7. hovered 8. citadel 9. rubble 10. precludes
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quadrilateral qrst is an isosceles trapezoid and (mangle r = 4u - 84^{c…
$55$
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ux is the midsegment of the trapezoid stvw. if vw = 4z, ux = 6z + 2, an…
$z = 1$
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quadrilateral pqrs is an isosceles trapezoid and m∠s = 4a + 100°. what …
$-8$
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set b choosing the right word select the boldface word that better comp…
1. wrangled 2. decreed 3. servile 4. hovered 5. citadels 6. discordant 7. evolved 8. hover 9. rubble 10. adage 11. preclude 12. wrangling
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sv is the midsegment of the trapezoid tuwx. if tu = -2z + 14, sv = 3z -…
$4$
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using context for each item, determine whether the boldface word from p…
2. The temperature continued to hover above freezing for a week before it plummeted. 3. When the principal entered the noisy auditorium, he wasted no time in issuing a decree that…
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s and v are the midpoints of the legs, $overline{rt}$ and $overline{qu}…
$50$
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29) based on the information in the diagram, which triangle congruence …
# Explicación: ## Paso 1: Identificar los elementos congruentes Observamos que en los triángulos $\triangle ABC$ y $\triangle FGH$ hay dos ángulos de $42^{\circ}$ congruentes y lo…
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name angles of a triangle the sum of the angles in a triangle = 180 deg…
(a) $x = 50$ (b) $x = 50$ (c) $x = 18$
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quadrilateral stuv is an isosceles trapezoid, su = 3y - 68, and tv = y …
$84$
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if ij is not parallel to hk, what is ij?
53
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tw is the midsegment of the trapezoid rsuv. if uv = 29 and tw = 50, wha…
$71$
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if $overline{ij}$ is not parallel to $overline{hk}$, what is $hk? hk = …
$49$
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if ux = 55 and vw = 66, what is st? st =
$110$
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29) based on the information in the diagram, which triangle congruence …
# Explicación: ## Paso 1: Identificar las partes congruentes Observamos en el diagrama que hay dos ángulos de $42^{\circ}$ congruentes y un lado congruente (las barritas indican l…
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30) triangle abc has coordinates a(0,6), b(3,0), and c(4,3). triangle a…
$(4, - 3)$
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28) which single transformation is shown below? dilation translation re…
# Explicación: ## Paso 1: Comprender las transformaciones Una dilatación cambia el tamaño de una figura, una rotación gira una figura alrededor de un punto, una reflexión es un es…
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what is the volume of this figure? 10 m 8 m 5 m 2 m 6 m 4 m cubic meters
428 m³
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29) based on the information in the diagram, which triangle - congruenc…
# Explicación: ## Paso 1: Identificar los elementos congruentes En el diagrama, vemos que hay dos ángulos de $42^{\circ}$ congruentes y un lado entre ellos (el lado común a los do…
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what is the volume of this figure? 3 in. 5 in. 10 in. 6 in. 12 in. cubi…
570 pulgadas cúbicas
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26) for the circle below, which expression can be used to find the area…
# Explicación: ## Paso 1: Formula del área de un círculo El área de un círculo completo es $A = \pi r^{2}$, donde $r$ es el radio. Aquí, $r = 8$ cm, entonces $A_{círculo}=\pi(8)^{…
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what is the volume of this figure? 5 m 11 m 19 m 3 m 8 m cubic meters
# Explicación: ## Paso 1: Dividir la figura en dos cuboides Podemos dividir la figura en dos cuboides. Uno con dimensiones 5 m × 3 m × 19 m y otro con dimensiones (8 - 5)m×3 m×(19…
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28) which single transformation is shown below? dilation translation re…
# Explicación: ## Paso 1: Analizar la transformación Observamos que la figura se mueve hacia abajo en el plano cartesiano sin cambiar su tamaño, orientación o forma. ## Paso 2: Id…
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what is the volume of this figure? 12 m 3 m 4 m 3 m 2 m 9 m cubic meters
# Explicación: ## Paso 1: Encontrar el volumen del primer prisma rectangular El primer prisma rectangular tiene dimensiones 12 m × 3 m × 4 m. El volumen de un prisma rectangular s…
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what is the volume of this figure? 2 m 4 m 2 m 4 m 15 m 3 m cubic meters
# Explicación: ## Paso1: Calcular volumen del primer cubo $V_1 = 2\times4\times2= 16\ m^3$ ## Paso2: Calcular volumen del segundo cuboide $V_2=15\times3\times4 = 180\ m^3$ ## Paso…
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25) a circle has its center at (4, -2) and has a radius of 3. what is t…
$(x - 4)^2+(y + 2)^2=9$
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26) for the circle below, which expression can be used to find the area…
# Explicación: ## Paso 1: Encontrar el área total del círculo La fórmula para el área de un círculo es $A = \pi r^{2}$, donde $r = 8$ cm. Entonces $A=\pi(8)^{2}=64\pi$ cm². ## Pas…
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27) the radius of the circle is 5 centimeters. line segment ab is a dia…
# Explicación: ## Paso 1: Aplicar el teorema del ángulo inscrito Como AB es el diámetro del círculo, el ángulo inscrito en la semi - circunferencia es un ángulo recto. Entonces, e…
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24) in the right triangle below, m is the mid - point of hypotenuse qr.…
1. **Explanation**: - **Step 1: Record the coordinates of the endpoints of the hypotenuse** - Los puntos \(Q(a,d)\) y \(R(c,b)\) son los extremos de la hipotenusa \(QR\). - **Step…
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27) the radius of the circle is 5 centimeters. line segment ab is a dia…
2.2
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26) for the circle below, which expression can be used to find the area…
# Explicación: ## Paso 1: Recordar la fórmula del área de un sector circular La fórmula del área de un sector circular es $A=\frac{\theta}{360^{\circ}}\times\pi r^{2}$, donde $\th…
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find the midpoint of the line segment between the points (7, 13) and (-…
D. $(-3.5, 16)$