Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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12. a tree casts a shadow of 15 meters. a 2 - meter stick casts a shado…
a. 10 meters
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11 in triangle △abc, ab = 8 cm, bc = 10 cm, and ac = 12 cm. in triangle…
b. 24 cm
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which number line shows the solutions for x in the inequality -2.5 > x …
B.
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10. prove that △abe ~ △cde in a trapezoid where ab || cd and diagonals …
b. AA Similarity Criterion
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9. prove that △xyz ~ △pqr using aa similarity, where ∠x = ∠p and ∠z = ∠…
a. $\angle Y=\angle Q$
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8. a triangular roof truss has side lengths of 9 feet, 12 feet, and 15 …
c. No, the sides are not proportional
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7. if two triangles have two corresponding angles that are equal, what …
b. The triangles are similar.
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6. a triangular billboard frame has two sides measuring 10 meters and 1…
B. No, the sides are not proportional
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5. a triangular sign has sides measuring 15 feet, 20 feet, and 25 feet.…
c. Yes, by the SSS Criterion
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4. a building casts a shadow of 18 feet, while a 6 - foot pole nearby c…
a. 36 ft
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3. in triangle abc, ∠a = 30°, ∠b = 60°, and ∠c = 90°. in triangle def, …
d. Triangles \(ABC\) and \(DEF\) are similar
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2 a triangular sculpture has two sides measuring 14 feet and 18 feet wi…
a. No, the sides are not proportional
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1. what property of rigid transformations makes them suitable for provi…
b. They preserve side lengths and angle measures.
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which number line shows the solutions for x in the inequality x - 9.5 ≥…
D.
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a tree on one side of a river is due west of a rock on the other side o…
$56.5$ yards
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a person standing on top of a 10 - foot high sand pile wishes to estima…
80
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if the angle of elevation of the sun is 60.9° when a building casts a s…
71.2
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if the angle of elevation of the sun is 69.5° when a building casts a s…
$100.1$
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if a 61.0 - foot flagpole casts a shadow of 32.0 feet long, what is the…
$62.3^{\circ}$
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a 81.4 - foot rope from the top of a circus tent pole is anchored to th…
$38.7^{\circ}$
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the diagonal of a rectangle is 321 millimeters, while the longer side i…
Shorter side: 209 mm Angle formed from short side and diagonal: 49° Angle formed from long side and diagonal: 41°
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the diagonal of a rectangle is 480 millimeters, while the longer side i…
Angle formed from short side and diagonal: $50$ Angle formed from long side and diagonal: $40$
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the height of a right circular cone is 15.4 centimeters, and the diamet…
$60.8^{\circ}$
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17. for the graph at left, what is the range? your answer is in the for…
$-10\leq y\leq10$
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17. for the graph at left, what is the range? your answer is in the for…
Let's assume the lowest y - value is $y_{min}$ and the highest y - value is $y_{max}$. The range is $y_{min}\leq y\leq y_{max}$. Since the image is not clear enough to determine e…
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17. for the graph at left, what is the range? your answer is in the for…
\(y\leq - 20\)
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what is the value of the following trig. function? (unit circle) cos 2π…
D. 1
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what is the value of the following trig. function? (unit circle) * cos …
A. $\frac{1}{2}$
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find the slope of the line passing through the pair of points or state …
A. The slope is 0. A. The line is horizontal.
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example 6 two points a and c, are on the same level ground as the foot …
i) Approximately \(19.0\) m ii) Approximately \(60.1\) m
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question express tan k as a fraction in simplest terms. answer
$\frac{9\sqrt{19}}{19}$
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express cos w as a fraction in simplest terms.
$\frac{3}{5}$
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name santiago date 10/9/18 parallel lines cut by a transversal parallel…
1. True 2. True 3. False 4. True 5. True 6. True 7. True 8. False 9. False 10. False
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match each coordinate with the correct location in the coordinate syste…
$(-3,4)$: Second quadrant $(0,5)$: On the positive $y$ - axis $(7,8)$: First quadrant $(8,-9)$: Fourth quadrant $(-2,0)$: On the negative $x$ - axis $(-6,-3)$: Third quadrant
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find the distance between the two points (2, 8) and (3, -2) √71 √37 √10…
1. C. $\sqrt{101}$ 2. D. $(1,\frac{5}{2})$
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practice 7 (from unit 2, lesson 7) segment eg is an angle bisector of a…
Noah incorrectamente asume que ∠HEG y ∠FEG son congruentes solo porque EG es un bisector de ∠FGH. Estos ángulos no son los correspondientes correctos para aplicar el teorema ASA.
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practice 5 (from unit 2, lesson 9) wxyz is a kite. angle wxy has a meas…
# Explicación: ## Paso 1: Recordar la suma de ángulos internos de un cuadrilátero La suma de los ángulos internos de un cuadrilátero es 360°. ## Paso 2: Calcular la suma de los án…
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a wooden plaque is in the shape of an ellipse with height 26 centimeter…
$14.20$
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question an arch has the shape of a semi - ellipse. the arch has a heig…
$7.95$
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question suppose we have a whispering chamber that is 12 feet wide and …
23 ft
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the figure below is dilated by a factor of 1/3 centered at the origin. …
Plot the points obtained by multiplying the coordinates of the original - figure's vertices by $\frac{1}{3}$ and connect them to form the dilated figure.
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here is quadrilateral abcd. prove abcd is a parallelogram. the diagram …
El diagrama muestra $AD = CB$, $DE = EB$, y $EA = EC$. Therefore triangle $ADE$ is congruent to triangle $BCE$ by the Side - Side - Side Triangle Congruence Theorem. So $m\angle A…
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1 practice 1 painters and carpenters use scaffolding to climb buildings…
- ¿Qué formas ves? Triángulos y rectángulos. - ¿Por qué una figura tiene más ángulos rectos? Porque una figura con forma de rectángulo tiene 4 ángulos rectos por definición, mient…
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36. what is the midpoint of the points (-7, 5) and (3, -5)? (0,0) (-2,0…
B. (-2,0)
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35. find the midpoint of the points (2, -3) and (-4, 5). (2,3) (-3,4) (…
C. (-1,1)
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34. two points c(0, -1) and d(0, 5) are on the y - axis. what is the di…
C. 6 units
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33. find the distance between the points (-1, -5) and (2, -1). 3 4 5 4.5
C. 5
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parallel lines and triangle angle sums there are two sets of note - car…
Step 1: Use the Triangle Exterior Angle Theorem to write an equation. Step 2: Subtract 34 from each side. Step 3: Write an equation for the angles that form a linear pair. Step 4:…
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1. determine the center, vertices, and foci for the following hyperbola…
1. - Center: $(0,0)$ - Vertices: $(0,4),(0, - 4)$ - Foci: $(0,5),(0, - 5)$ 2. - Center: $(-1,2)$ - Vertices: $(3,2),(-5,2)$ - Foci: $(-1 + 2\sqrt{5},2),(-1-2\sqrt{5},2)$ 3. - Cent…
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use the figure for exercises 13 - 15. find the measure of the given ang…
13. \(a = 79^{\circ}\) 14. \(b = 69^{\circ}\) 15. \(c = 40^{\circ}\)
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for exercises 7-12, find the value of x for each figure. 7. 38° 8. 94° …
Exercise 7: \(x = 108^{\circ}\) Exercise 8: \(x = 133^{\circ}\) Exercise 9: \(x = 124^{\circ}\) Exercise 10: \(x = 100^{\circ}\) Exercise 11: \(x = 106^{\circ}\) Exercise 12: \(x …
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28. find the midpoint given these positions (-5, -7) and (-3, -9). (4, …
C. (-4, -8)
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what transformations were applied to abcd to obtain abcd? a. rotate 180…
A. Rotate 180 degrees counterclockwise about the origin, then translate 2 units left.
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if △abc is reflected across the y - axis, what are the coordinates of a…
B. (4,2)
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2 - 3 additional practice parallel lines and triangle angle sums for ex…
1. \(x = 15\) 2. \(x = 55\) 3. \(x = 40\) 4. \(x = 53\) 5. \(x=y = z = 37\) (assuming equal division) 6. \(x = 43\)
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3.4.2 quiz: transformations what degree of rotation about the origin wi…
360° (not shown as an option but the correct answer for a non - symmetric triangle to map onto itself; if we assume the options are the only choices and there is an error in the p…
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question 6 of 10 which of the following steps were applied to △abc obta…
A. Shifted 3 units right and 3 units up
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26. determine the midpoint of the points (10, 20) and (-10, -20) (0, 0)…
A. (0, 0)
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25. what is the midpoint between the coordinates (-3, 7) and (9, -5)? (…
(3, 1)
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24. what is the midpoint between the points (2, 4) and (6, 8)? (4, 6) (…
$(4,6)$
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3. complete the sentences to find the value of x. the measure of the an…
88
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question 1 20 pts 1. ms. williams presented her students with a linear …
x - intercept: (-2, 0), y - intercept: (0, -6)
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23. determine the distance between points e(-3, 6) and f(3, 2). 2√13 un…
$2\sqrt{13}$ units
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22. given points a(1, 3) and b(4, 7), what is the distance between them…
A. 5 units
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2. from the figure shown, abby concludes that (mangle1 = 85^{circ}). wh…
Abby's error is likely an incorrect calculation. The correct measure of $m\angle1$ is $95^{\circ}$ (since $m\angle1 = 62^{\circ}+33^{\circ}$).
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21. determine the distance between the points (2, 6) and (-1, -3), usin…
$\sqrt{90}$
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20. what is the distance between the points (0, 0) and (0, 4)? 0 4 1 2
4
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19. what is the distance from (-3, 27) and (3, 27) -6 6 27 $sqrt{30}$
B. 6
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exterior angle measure m∠dca = m∠a + m∠b m∠dca = + m∠dca =
$99^{\circ}$
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18. find the distance between the points (-3, 2) and (2, -2). use the d…
$\sqrt{41}$
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use the half - angle formulas to find the exact value of the expression…
\(-\frac{\sqrt{2-\sqrt{2}}}{2}\)
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17. find the distance between the points (-3,-2) and (2, 5). 9.22 6.40 …
8.60
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2-3 reteach to build unde parallel lines and triangle angl 1. use the d…
$m\angle B = 78^{\circ}$
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parallel lines and triangle angle sums 1. use the diagrams to fill in t…
In the first triangle: \(m\angle B = 78^{\circ}\). In the second triangle: \(m\angle DCA = 99^{\circ}\)
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16. what is the distance between the points (4, 3) and (7, 8)? 4.47 7.0…
$5.83$
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15. find the distance between the points (1, 2) and (5, 7). 7.81 2.83 6…
6.40
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alans rectangular flower bed measures 122 cm long and 63 cm wide. he wa…
(a) $8.27$ (b) 4 (c) $\$14.56$
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what is the area of square cdef area = square units
# Explanation: ## Step1: Determine side - length[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On…
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35/40 solve for x.
-5
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solve for y.
$y = 20$
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what is the area of square bcde? area = square units
64
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31/40 angles on the outside of the parallel lines are__________? interi…
D. Exterior Angles
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what is the area of rectangle efgh? area = square units
56
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given a(2,3) and b(8,15), find the coordinates of the midpoint m and pr…
A. M(5,9), 9 = 2×5−1
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what is the perimeter of square tuwv? perimeter = units
40
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given two lines l and m cut by a transversal t, and ∠1 and ∠2 are alter…
$x = 12$
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what is the area of square tuvw? area = square units
64
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given p (3, 7) and q(11, 15), find the coordinates of the point r that …
A. \((5,9)\)
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find the distance between the points (-5, -6) and (-4, -9). write your …
$\sqrt{10}$
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find the distance between the points (6, 7) and (10, 3). write your ans…
$4\sqrt{2}$ units
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find the distance between the points (-2, -9) and (5, -10). write your …
$5\sqrt{2}$
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find the distance between the points (-8, -1) and (1, -5). write your a…
$\sqrt{97}$ units
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find the distance between the points (-7, -7) and (3, -2). write your a…
$5\sqrt{5}$ units
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find the distance between the points (-7, -1) and (-5, -10). write your…
$\sqrt{85}$
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find the distance between the points (3, 2) and (-9, -1). write your an…
$3\sqrt{17}$
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find the slope of the line containing the given points. (i p₁(9, 4), p₂…
$0$
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find the distance between the points (8, 3) and (10, 4). write your ans…
$\sqrt{5}$ units
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find the distance between the points (2, 0) and (7, 8). write your answ…
$\sqrt{89}$ units
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find the distance between the points (6, 5) and (0, 0). write your answ…
$\sqrt{61}$ units
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find the distance between the points (-3, 0) and (0, -7). write your an…
$\sqrt{58}$