Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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for δabc, which one is equivalent to sin(a)? cos(b) sin(b) cos(c) tan(c)
cos(C)
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each of the two congruent sides has length 13 cm. the perimeter of the …
10
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which is the best approximation for the measure of angle abc? 27.7° 31.…
31.7°
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5. find cd given c(-6, -5) and d(2, 0). leave as a simplified radical.
$\sqrt{89}$
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each of the two congruent sides has length 13 cm. the third side has le…
13
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what is the perimeter of the trapezoid? 10 cm 13 cm 13 cm 20 cm a 26 cm…
D. 56 cm
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to support a tree damaged in a storm, a 12 - foot wire is secured from …
$56.4^{\circ}$
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the longest side of an isosceles obtuse triangle measures 20 centimeter…
C. 14 cm
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qe 4 if m∠abc is one degree less than three times m∠abd, and m∠dbc = 47…
$m\angle ABC = 71^{\circ}$ $m\angle ABD = 24^{\circ}$
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the hypotenuse of a 45° - 45° - 90° triangle measures 7\\sqrt{2} units.…
A. 7 units
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a right triangle has side lengths ac = 7 inches, bc = 24 inches, and ab…
C. \(m\angle A\approx73.7^{\circ},m\angle B\approx16.3^{\circ},m\angle C\approx90^{\circ}\)
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a 10.3 cm b 2.4 cm c 10 cm not drawn to scale which equation can be use…
$\tan(x)=\frac{2.4}{10}$
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the length of the hypotenuse, line segment gh, in triangle gjh measures…
B. $19.5^{\circ}$
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answer attempt 1 out of 3 $overline{ik}$ is an angle bisector. $i$ is t…
Mathematics: Geometry (a) \( \overline{IK} \) is an angle bisector: True (b) \( I \) is the vertex of two angles that are congruent to one another: True (c) \( I \) is the vertex …
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if ray uw bisects ∠tuv, m∠tuw = 13x - 5, and m∠wuv = 7x + 31, then what…
$x = 6$ $m\angle TUW=73^{\circ}$ $m\angle WUV=73^{\circ}$
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which figure has the same shape as figure a? figure b figure c figure d…
C. figure D
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chey has a map that shows the lengths of some hiking trails. the scale …
\(0.5\)
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a circle in the xy - plane has its center at (-4,-6). line k is tangent…
A. $-3$
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show mathematically that (1, 5.5) is the midpoint of the line segment w…
Since using the mid - point formula for the points $(-2,1)$ and $(4,10)$ gives the coordinates $(1,5.5)$, $(1,5.5)$ is the mid - point of the line segment with endpoints $(-2,1)$ …
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the triangle shown is isosceles. find the length of each side and the p…
The length of each side is \(13\) cm and the perimeter is \(39\) cm.
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2-2a practice worksheet - biconditionals and definitions a biconditiona…
1. Converse: If it is Independence Day, then the date is July 4th. Biconditional: The date is July 4th if and only if it is Independence Day. 2. Converse: If a figure is a decagon…
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what is the approximate value of y - x? 4.9° 6.2° 11.1° 17.2°
$17.2^{\circ}$
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18 $overrightarrow{ab}$ is parallel to $overrightarrow{cd}$ and perpend…
D. $\overrightarrow{EF}$ is perpendicular to $\overrightarrow{CD}$
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in the diagram below, $overline{dg}perpoverline{df}$. use the diagram f…
2. D 3. $\angle GDE$ 4. Acute angle 5. Obtuse angle 6. $159^{\circ}$ 7. $17^{\circ}$ 8. $x = 16$ 9. $m\angle EBC = 34^{\circ}$ 10. $m\angle FBE = 62^{\circ}$
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ab is parallel to cd and perpendicular to both ef and gh. which stateme…
D. $\overrightarrow{EF}$ is perpendicular to $\overrightarrow{CD}$
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the length of the hypotenuse, line segment ac, in right triangle abc is…
C. \(53.1^{\circ}\)
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consider the function y = 2sin(x) for 0° ≤ x ≤ 360°. 1. graph the funct…
The x - intercepts are $(0,0),(180,0),(360,0)$, the maximum - point is $(90,2)$ and the minimum - point is $(270,-2)$. The graph is a sine - wave with amplitude 2 and period $360^…
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which equation can be used to find the measure of angle bac? o $\tan^{-…
\(\tan^{-1}(\frac{12}{5}) = x\)
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the endpoints of the directed line segment nw are n(-14,9) and w(10, -6…
The coordinates of point \(D\) are \((-6,4)\) ### 2. Second sub - question (identifying the construction)
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which single transformation was applied to yxwv to create yxwv? rotate …
C. reflect over line AB
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7. a window was to be installed in a basement where a ductwork ran para…
128 square inches
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for each pair of figures below, choose how they are related. translatio…
1. Rotation 2. None of these 3. Rotation 4. Translation
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which picture shows parallel lines?
# Explicación: ## Paso 1: Recordar la definición de líneas paralelas Las líneas paralelas son líneas que nunca se intersectan y mantienen una distancia constante entre sí en todo …
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select three excerpts from paragraphs 37 - 42 that best support the ans…
A. As he waited, he could hear a woman's fretful voice and the impatient jerk and jar of kitchen things, indicative of ill - temper or worry. The longer he stood absorbing this fa…
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what point on the number - line is 2/5 the distance from the point 21 t…
$31.4$ ### Part 2:
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select all the trapezoids.
Se necesitan ver las figuras individualmente para determinar cuáles son trapecios. Sin embargo, en general, se eligen aquellas figuras que tengan exactamente un par de lados paral…
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find the area of the rectangle. give an exact answer if possible. other…
The area is $\square$ in$^{2}$: 0 (since the length of the rectangle is not given, we assume the width is 7 inches but without length we can't calculate area exactly). Estimation …
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select all the parallelograms.
# Explicación: ## Paso 1: Recordar la definición de paralelogramo Un paralelogramo es un cuadrilátero con lados opuestos paralelos. ## Paso 2: Analizar cada figura Las cuatro figu…
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(-4,2) (-2,1) (0.5,4) (6,2) (3,1) (0.5,-2) (1,-4) dilation translation …
dilation
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what is the measure of this angle? choose the best estimate. 95° 120° 4…
95°
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read this excerpt from the journey of crazy horse by joseph m. marshall…
Crazy Horse saw the land, animals, and people as all part of a whole. Quote: "The land, the sky, the four - legged and the winged, the two - legged people—all were part of a whole…
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complete the sentence. a is a type of quadrilateral. circle triangle pe…
D. rhombus
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in the diagram below, $overline{dg}perpoverline{df}$. use the diagram f…
2. $D$ 3. $\angle GDE$ 4. Acute angle 5. Straight - angle 6. $159^{\circ}$ 7. $73^{\circ}$ 8. $x = 16$ 9. $m\angle EBC = 34^{\circ}$ 10. $m\angle FBE=14x + 6$
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a rectangular garden is 9 meters long and 7 meters wide. what is the ar…
# Explicación: ## Paso1: Identificar la fórmula del área El área $A$ de un rectángulo se calcula como $A = l\times w$, donde $l$ es la longitud y $w$ es el ancho. ## Paso2: Sustit…
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match each geometric part with its correct name. 12) 13) 14) ray line s…
12) Ray TS 13) Line segment WX 14) Plane
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a circle in the xy - plane has its center at (-5,2) and has a radius of…
\(-52\)
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find the perimeter of the rectangle. give an exact answer if possible. …
An exact answer can be found. The perimeter is 66 cm.
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directions - name each geometric 11) 12) ray line dc line segment cd ra…
11) Ray \(CD\) 12) Ray (assuming the endpoint and direction are clear from the figure in the context, but without a label for the endpoint in the visible part of the image, we jus…
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a circle in the xy - plane has a diameter with endpoints (2,4) and (2,1…
$5$
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what is the length of $overline{ab}$? round to the nearest tenth. c b 1…
38.6 m
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the equation sin(40°) = \\frac{b}{20} can be used to determine the leng…
$12.9$ cm
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what is the approximate value of x? round to the nearest tenth. 6 cm 3.…
$4.6$ cm
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unit 1 lesson 1: line segments find the measure of each segment. 1. (ov…
1. \(PR = 9.5\) mm 2. \(EF = 5.3\) in 3. \(JL = 1\) cm 4. \(c = 18\), \(YZ = 72\) 5. \(b = 12.5\), \(YZ = 100\) 6. \(w=\frac{8}{3}\), \(YZ=\frac{40}{3}\) 7. \(a = 6\), \(YZ = 38\)
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directions use the formula to find the volume of each figure. write you…
# Explicación paso a paso: ## Paso 1: Aplicar fórmula para primer cubo $V = 3\text{ cm}\times3\text{ cm}\times3\text{ cm}=27\text{ cm}^3$ ## Paso 2: Aplicar fórmula para segundo c…
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right triangle abc is shown. which equation can be used to solve for c?…
$\sin(50^{\circ})=\frac{3}{c}$
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directions - name each geometric part with its correct name. 11) 12) 13…
12) Line segment TS 13) Line segment WX 14) Plane ABC (assuming appropriate point - naming on the plane)
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a ramp leading into a building makes a 15° angle with the ground. the e…
10.4 feet
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14. why is angle y not a good name for this marked angle?
Angle \(Y\) is not a good name because there are multiple angles at vertex \(Y\), causing ambiguity.
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a triangle has angles that measure 30°, 60°, and 90°. the hypotenuse of…
23.7 in.
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directions - name each geometric part with its correct name. (1) (2) (3…
(1) Ray CD (2) Line segment CD (3) Line segment (not in options but conceptually) (4) Plane DC
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given the transformation below of abcde to its image abcde, which of th…
\(f(x,y)\to f(-x,-y)\)
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which relationship in the triangle must be true? a c b c a b ○ sin(b) =…
\(\sin(B)=\cos(90 - B)\)
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julian describes an angle in the triangle using these statements. gh is…
$\angle G$
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two parallel lines, a and b, are cut by transversal w. the measures of …
\(60^{\circ}\)
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(b) if each unit on the grid represents 1 mile, about how many miles is…
C. 12
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which trigonometric ratios are correct for triangle def? select three o…
$\sin(D)=\frac{24}{25}$, $\tan(D)=\frac{24}{7}$, $\sin(E)=\frac{7}{25}$
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13. which is the correct name for the angle marked pink. mark only one …
\(\angle ZYX\)
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1-1b practice worksheet - conditional statements statement example cond…
1. Counter - example: 12:00 noon on a cloudy day. 2. Counter - example: 6. 3. Converse: If you are strong, then you drink milk. 4. Converse: If a figure is a square, then it is a …
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which trigonometric ratios are correct for triangle abc? select three o…
$\sin(C)=\frac{\sqrt{3}}{2}$, $\tan(C)=\sqrt{3}$, $\sin(B)=\frac{1}{2}$
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using metric units to find area directions use the formula to find the …
1. $9\ m^{2}$ 2. $63\ cm^{2}$ 3. $880\ m^{2}$ 4. $110\ mm^{2}$ 5. $16.25\ cm^{2}$ 6. $375\ mm^{2}$ 7. $8\ m$ 8. $216\ cm^{2}$ 9. $100\ mm$ 10. $2040\ m^{2}$ 11. $29.75\ mm^{2}$ 12…
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given right triangle mnl, what is the value of cos(m)? options: (\frac{…
\(\frac{4}{5}\)
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9. which is the correct notation for ray ba? * mark only one oval. ab (…
The correct notation for ray BA is $\overrightarrow{BA}$ (assuming Option 4 is $\overrightarrow{BA}$ as the others are incorrect notations for a ray with endpoint B going towards …
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a v is the midpoint of a segment in the diagram. b $overline{vw}$ is an…
A. V is the midpoint of a segment in the diagram.
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given right triangle xyz, which correctly describes the locations of th…
a is adjacent, b is opposite, c is the hypotenuse
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11. which of the choices is not a possibility for naming the angle? * m…
B. Angle BAC
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find the distance from a to b. give an exact answer if possible. otherw…
An exact answer can be found. The distance is 5 units.
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quadrilateral pqrs is rotated 90° clockwise about the origin to form qu…
0
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a v is the mid - point of a segment in the diagram. b $overline{vw}$ is…
A. V is the midpoint of a segment in the diagram.
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two students describe the sides of right triangle abc in relation to ∠b…
A. Tomas is correct; $\overline{AC}$ is opposite $\angle B$ and $\overline{BC}$ is adjacent to $\angle B$.
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12. choose the correct name for the angle marked pink. mark only one ov…
A. \(\angle J\)
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a v is the mid - point of a segment in the diagram. b vw is an angle bi…
A. V is the midpoint of a segment in the diagram.
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a v is the midpoint of a segment in the diagram. b vw is an angle bisec…
A. V is the midpoint of a segment in the diagram.
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describe the single transformation of triangle lnc that was used to cre…
rotation
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determine which angles must be congruent to angle x. select three the a…
B. angle 4 E. angle 5 G. angle 3
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find the perimeter of the rectangle. give an exact answer if possible. …
An exact answer can be found. The perimeter is 10 + 2l m, where l is the length of the rectangle. If we assume the length is, for example, 10 m (not given in the problem but for i…
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a square pyramid and its net are shown below. what is the surface area …
736
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these steps were followed to complete the construction. • an arc was dr…
C. $m\angle XYZ=\frac{1}{2}(m\angle PYZ)$
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select all the sequences of transformations that would take triangle a …
No options are correct as written without specifying the rotation angle in Option 2. If we assume a 90 - degree clockwise rotation in Option 2, still none of the sequences exactly…
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which is the correct notation for line segment ab? * mark only one oval…
Option 1. $\overline{AB}$
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the triangle shown is isosceles. find the length of each side and the p…
Length of each congruent side: 13 Length of the third side: 6 Perimeter: 32
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match the vocabulary word to the definition. 1. the point halfway betwe…
1. i. Midpoint 2. a. Plane 3. b. Ray 4. f. Vertex 5. g. Acute 6. h. Obtuse 7. c. Collinear 8. j. Segment Bisector 9. d. Noncollinear 10. e. Opposite Rays
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classify the triangle using its angles. acute right obtuse
# Explicación: ## Paso 1: Definir tipos de triángulos por ángulos Un triángulo agudo tiene todos sus ángulos menores que 90°. Un triángulo rectángulo tiene un ángulo de 90°. Un tr…
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if a circular railroad crossing sign has an area of 254.34 in.², what i…
18
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mark only one oval. line ab line segment ab ray ab ray ba
Line segment AB
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reflect the figure across the x - axis. then decide if each statement a…
1. False 2. True 3. True 4. True
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what is the perimeter of the shape?
60
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the formula for the volume of a pyramid is v = 1/3 bh, where b is the a…
80
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for each pair of figures below, choose how they are related. translatio…
First pair: Translation Second pair: Translation Third pair: Rotation Fourth pair: Rotation
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16. describe a real - life situation in which you might encounter an ir…
Calculating a circle's circumference/area (using $\pi$) or finding a square's diagonal (using $\sqrt{2}$).
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statement about translated figures true false the final angle measures …
1. True 2. False 3. False 4. False