Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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in the triangle below, what is the measure (in degrees) of angle x? a. …
b. $59^\circ$
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triangle lmn is an isosceles triangle with $overline{lm}congoverline{ln…
b. 67°
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what is the ratio of circles to total shapes? write your answer as two …
\(1:10\)
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classify the following triangle according to its sides and its angle me…
a. Scalene acute triangle
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what is the ratio of total shapes to rectangles? write your answer as t…
\(4:1\)
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1. rectangle a is dilated to form rectangle b what scale factor was use…
5 The scale factor is 5, calculated by dividing the corresponding side lengths of rectangle B by rectangle A (20/4 or 30/6).
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what is the ratio of circles to stars? write your answer as a fraction.…
\(\frac{1}{1}\)
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triangle efg is shown below. what is the coordinate of g if triangle ef…
a. G' = (8, -8)
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triangle def is shown below. what is the coordinate of d if triangle de…
b. D' = (1.5, 0)
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what is the ratio of triangles to total shapes? to 4 submit
\(3\)
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quadrilateral uvwx is shown below. what is the coordinate of v if quadr…
d. $V' = (-1.5, 3)$
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what is the ratio of triangles to squares? :1 submit
\(1\)
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6. which of the letters below has rotational symmetry? a, f, h, or c
H
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katrina is designing a pattern for a mosaic in art class. the first ste…
b. A'(0, 0), B'(-2, 5), C'(-5, 6)
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how many lines of symmetry does the following figure have? o a. 4 o b. …
b. 8
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examine the coordinate grid below. what are the coordinates of the poin…
b. (4,-5)
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what is the coordinate of a after triangle abc is reflected across the …
b. A'(5,3)
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maya drew a right triangle. she then drew its reflection across the dot…
a. [The triangle with the right angle on the left, mirroring the original]
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1. what will the coordinates of triangle rst be after it is translated …
$R'(0,5)$, $S'(6,8)$, $T'(0,-1)$
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value 7 suppose triangle def has vertices d(3,5), e(6, -6), and f(1,3).…
d. D'(9, 10), E'(12, -1), F'(7, 8)
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value: 7 what will the coordinates of triangle rst be after it is trans…
d. R(-7, -2), S(2, -1), T(-1, -9)
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enn is using a computer drawing program to make two - dimensional sketc…
c. (3, -1)
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when the triangle below is translated 1 unit to the left and 2 units do…
d. (-2,-2)
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describe a translation given image and pre - image coordinates ue: 5 ow…
c. 5 units
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find the value of x that makes lines u and v parallel u x + 69 60° v a.…
\(x = 51\) Wait, there is a mistake. Let me check again.
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find the value of x that makes lines u and v parallel. 50° u v 5x a. -7…
C. 10
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find the measure of the indicated angle that makes lines u and v parall…
A. \(117^{\circ}\)
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find the measure of the indicated angle that makes lines u and v parall…
C. \(79^{\circ}\)
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find the measure of the indicated angle that makes lines u and v parall…
A. \(92^{\circ}\)
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read the paragraph about community service. across the nation, high sch…
"Youths should prioritize community service in preparation for their future."
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what is the final transformation in the composition of transformations …
a 180° rotation about point B'
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parallelogram fghj is the final image after the rule $r_{y - axis} circ…
A. (-2, 2)
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the rule ( r_{y = x} circ t_{4,0}(x,y) ) is applied to trapezoid abcd t…
(-1, -5), (7, -5) But according to the options, the two correct options are B. (-1, -5) and E. (7, -5) Wait the options are: A. (-1,0) B. (-1,-5) C. (1,1) D. (7,0) E. (7,-5) So th…
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square a\b\c\d\ is the final image after the rule $t_{-4,1} cdot r_{0,9…
D. (-2, 1)
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consider the following three points. (-3,1),(0,2),(5,3) step 3 of 3 : d…
Not Collinear
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select the representations that do not change the location of the point…
A. $(-9,320^\circ)$, B. $(-9,220^\circ)$
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c) in \\( \\triangle p q r, p q=15.0 \\mathrm{~cm}, p r=11.0 \\mathrm{~…
$\angle P \approx 44^\circ$, $\angle Q \approx 47^\circ$, $\angle R \approx 89^\circ$
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for the point given in polar coordinates, state the quadrant in which t…
II
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a plane leaves airport a and travels 550 miles to airport b on a bearin…
761.0
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the three circles are arranged so that they touch each other, as shown …
A = 49° B = 57° C = 75° (Note: Rounded to nearest degree as required.)
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what is the length of bc, rounded to the nearest tenth? 13.0 units 28.8…
31.2 units (Option C: 31.2 units)
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6. a) in \\( \\triangle a b c, a b = 18.7 \\mathrm { cm }, a c = 17.9 \…
9.8 cm
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for the given triangle, the slope of \\( \\overline { z x } \\) is \\( …
The slopes of \( \overline{XY} \) and \( \overline{ZY} \) are opposite reciprocals.
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the point (1, 4) lies on a circle that is centered at (1, 1). which sta…
B. The circle's radius is 3 units. D. The point \((-2,1)\) lies on the circle.
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the point (1,4) lies on a circle that is centered at (1,1). which state…
B. The circle’s radius is 3 units, D. The point \((-2,1)\) lies on the circle
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what is the area of rectangle abcd? 43 units² 52 units² 104 units² 208 …
104 units²
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which are side lengths of quadrilateral pqrs? check all that apply. 4 u…
5 units, 6 units, \( \sqrt{13} \) units (corresponding to the options: 5 units, 6 units, \( \sqrt{13} \) units)
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11. ellos (buscar)_____________________las llaves, pero no las (encontr…
1. c. A la tienda. 2. a. Una camisa nueva. 3. c. En el restaurante. 4. a. A las seis de la mañana. 5. a. A la cafetería. 6. c. En el centro.
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what is the area of this figure? 2 yd 2 yd 3 yd 9 yd 7 yd 5 yd square y…
\(53\)
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what is the area of this figure? square kilometers
84
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what is the area of this figure? square centimeters
\(44\)
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11. ellos (buscar) no las (encontrar) 12. en la fiesta, ellos (bailar) …
1. C. A la tienda 2. A. Una camisa nueva 3. C. En el restaurante 4. A. A las seis de la mañana 5. A. A la cafetería 6. C. En el centro
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isosceles triangle lmn is graphed with vertices l(0, 1), m(3, 5), and n…
0 (corresponding to the option "0")
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20) choose the correct answer. which triangle illustrates an orthocente…
B. The triangle with right angles on the sides (altitudes) intersecting at point \( P \) (illustrating orthocenter)
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19) choose the correct answer. which triangle illustrates an incenter?
B. The triangle in option B (where the point is equidistant from all sides via perpendicular segments and lies at the intersection of angle bisectors)
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18) choose the correct answer.which triangle illustrates a circumcenter?
D.
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17) choose the correct answer.which triangle illustrates a centroid?
A. The triangle with \(AP = \frac{2}{3}AZ\), \(BP=\frac{1}{3}BX\), \(CP=\frac{1}{3}CY\) (or similar median - centroid ratio properties)
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16) choose the correct answer. which triangle involves altitudes? c b a…
C
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15) choose the correct answer. which triangle involves medians? a b d c
A. The triangle with segments connecting vertices to midpoints of opposite sides (as shown by midpoint markings and segment - length relations like \(PX=\frac{1}{2}AC\))
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14) choose the correct answer. which triangle involves angle bisectors?
B. The triangle in option B involves angle bisectors (marked with equal - angle indicators, consistent with angle bisectors dividing angles into two equal parts).
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12) choose the correct answer. the orthocenter will lie in the exterior…
C. obtuse ### Question 13
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9) choose the correct answer. if there is no indication of congruent or…
D. right (assuming the options are labeled A: obtuse, B: acute, C: circumcenter, D: right) ### Question 11
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triangle \\( \\triangle a ^ { prime } b ^ { prime } c ^ { prime } \\) i…
4
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b. for each question below draw the terminal arms, state the quadrant 1…
1. Q1/Q4, ref 60°, θ=60°/300° 2. Q2/Q4, ref 45°, θ=135°/315° 3. Q1/Q2, ref 60°, θ=60°/120° 4. Q3/Q4, ref 45°, θ=225°/315° 5. Q2/Q3, ref 30°, θ=150°/210° 6. Axis, ref 0°, θ=0°/180°…
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question 11 of 40 what is the reference angle for 302°? a. 22° b. 32° c…
C. 58°
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question 22 of 25 which symbol correctly compares the two angles? \\( \…
B. >
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find sin θ. a. 28/45 b. 45/28 c. 28/53 d. 45/53
D. $\frac{45}{53}$
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question 16 of 25 which angle is coterminal to a 165° angle? a. an angl…
B. An angle measuring -195°
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question 15 of 25 the angle of elevation to the top of a 15 - story sky…
D. 174.82 feet
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question 13 of 25 the side lengths of a 45 - 45 - 90 triangle are in th…
A. $\frac{\sqrt{2}}{2}$
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if ( r = 1 ) and ( \theta=\frac{5pi}{6} ), what is the approximate arc …
A. 3.927 units
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quadrilateral bird is inscribed in circle o. what is the measure of ∠d?…
63
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question 7 of 25 convert 210° to radians. a. (\frac{4pi}{3}) b. (\frac{…
C. $\frac{7\pi}{6}$
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question 6 of 25 what is the reference angle for 212°? a. 42° b. 32° c.…
B. 32°
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question 5 of 25 \\( \\sin \\theta = \\frac { 8 } { 17 } \\). find \\( …
B. $\frac{8}{15}$
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question 9 of 10 identify the correct phrase to complete the statement.…
D. the length of the arc it intercepts is the same as the length of the radius.
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question 8 of 10 which statement is not correct? a. a 100° angle is an …
B. A 175° angle is a reflex angle.
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which angle has its terminal side on the positive y - axis? a. \\( \\fr…
C. $\frac{\pi}{2}$ radians
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which symbol correctly compares the two angle measures? \\( \\frac{\\pi…
B. <
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question 5 of 10 which angle is an acute angle? a. an angle measuring 2…
B. An angle measuring 85°
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if ( r = 1 ) and ( \theta=\frac{4 pi}{3} ), what is the approximate arc…
D. 4.189 units
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question 3 of 10 which negative angle is equivalent to a 65° angle? a. …
D. An angle measuring -295°
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question 2 of 10 which angle is coterminal with a 120° angle? a. an ang…
A. An angle measuring 480°
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question 30 of 30 which angle is an obtuse angle? a. 170° b. 310° c. 26…
A. 170°
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△uvw is a translation of △uvw. write the translation rule. (x,y)→(x−□,y…
The translation rule is \((x, y) \to (x - 12, y - 12)\), so the first blank is \(12\) and the second blank is \(12\). So the answer is \(12\) and \(12\) (i.e., \(\boxed{12}\) and …
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use special right triangle ratios to find the lengths of the other leg …
C. Leg 11, hypotenuse $11\sqrt{2}$
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question 16 of 30 if ( r = 1 ) and ( \theta=\frac{pi}{6} ), what is the…
D. 1.047 units
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question 15 of 30 cos \\theta=\\frac{9}{15}. find tan \\theta. a. \\fra…
B. $\frac{12}{9}$
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question 7 of 30 what is the reference angle for 293*? a. 67* b. 23* c.…
A. 67°
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a portion of a hiking trail slopes upward at about a 6° angle. to the n…
B. 12.6 ft
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find x. round your answer to the nearest integer. a. 20 b. 12 c. 15 d. …
A. 20
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question 1 of 30 which angle is coterminal with 140°? a. 500° b. 490° c…
A. 500°
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9) reflection across the y - axis
To solve the reflection of a figure across the \( y \)-axis, we use the rule for reflecting a point \((x, y)\) across the \( y \)-axis: the new coordinates become \((-x, y)\) (the…
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solve the triangle. b = 72°15, c = 24 m, a = 70 m what is the length of…
### Part 1: Find the length of side \( b \) We use the Law of Cosines, which states that for a triangle with sides \( a \), \( b \), \( c \) and the angle \( B \) opposite side \(…
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use the figure to evaluate $a + b$, $a - b$, and $-a$. $a + b=langle 2,…
\( -\mathbf{a} = \langle 1, -4 angle \)
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use the figure to evaluate ( a + b ), ( a - b ), and ( - a ). ( a + b =…
\( \langle -4, 1 angle \)
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use the figure to evaluate ( a + b ), ( a - b ), and ( -a ). ( a + b=la…
\(\langle - 2,1 angle\)
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use the figure to evaluate ( a + b ), ( a - b ), and ( - a ). ( a + b =…
\(\mathbf{a + b} = \langle 2, 8 angle\)
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the initial point of a vector is located at $(-2,1)$, and the terminal …
\(\langle1,4 angle\) (the second option)
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an object is placed at point ( a=(3,-5,2) ). after a reflection over th…
\((3,-5,-2)\) (the third option)