幾何
三角形、円、座標幾何、証明問題。
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plot -20 on the number line below. state its distance from zero, and th…
Distance from zero \( = 20 \) \(|-20|=20\)
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state the coordinates of the point.
The coordinates of the point are \((-8, 6)\)
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state the coordinates of the point.
The coordinates of the point are \((-2, - 8)\)
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25 does the pythagorean theorem work for every right triangle or for ju…
A. only right triangles
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the measure of an angle is 167°. what is the measure of its supplementa…
\(13^\circ\)
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state the coordinates of the point.
\((-9, 0)\) Wait, no, maybe I made a mistake. Wait, the point on the x - axis: looking at the image, the x - coordinate is - 9? Wait, no, the left - most point is at x=-9? Wait, t…
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the measure of an angle is 1°. what is the measure of its supplementary…
\(179^\circ\)
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ate the coordinates of the point.
The coordinates of the point are \((5, 6)\)
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2. $x + 3y = 6$ $2x - 3y = 3$ solution: coordinate grid for plotting
The solution to the system of equations \(\begin{cases}x + 3y = 6\\2x - 3y = 3\end{cases}\) is \(x = 3\) and \(y = 1\) (or the ordered pair \((3,1)\)). When graphing, the two line…
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which graph matches the inequality k < 3? a) ← −7 −6 −5 −4 −3 −2 −1 0 1…
A. The graph with an open circle at 3 and an arrow pointing to the left (values less than 3)
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the measure of an angle is 2°. what is the measure of its supplementary…
\(178\)
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worksheet 26 solve the following. 1) each side of a square table top me…
1. \(529\) \(cm^2\) 2. \(1681\) \(cm^2\) 3. \(120\) \(cm^2\) 4. \(15\) \(m^2\)
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which graph matches the inequality r ≥ -6? a) number line with a blue d…
A. The graph with a closed circle at -6 and shaded to the right (the graph labeled A)
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find the values of x and y. x = \\square (simplify your answer.)
\( x = 57 \)
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which terms describe this shape? choose all that apply. kite quadrilate…
The correct terms that describe the shape are: kite, quadrilateral, rhombus, parallelogram (assuming the shape is a rhombus, which is a kite, a parallelogram, and a quadrilateral).
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label each side as opposite, adjacent, or hypotenuse; drag & drop the a…
- Side JK: Opposite - Side JL: Adjacent - Side LK: Hypotenuse
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which terms describe this shape? choose all that apply. image of a quad…
The correct terms are: isosceles trapezoid, quadrilateral
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which shape is inscribed in a circle? hexagon obtuse triangle equilater…
Equilateral triangle (the option: Equilateral triangle)
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identify the figure that is not a polygon. regular hexagon equilateral …
D. Straight line
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which of the following is not true of sculpture in the round? a. there …
a. There are three main techniques of sculpture in the round which include, casting, carving, and assemblage.
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1. 2x - y = 1 x + y = 2 solution: coordinate grid image
The solution to the system of equations (and the intersection point of the two lines on the graph) is \((1,1)\)
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to draw an angle congruent to \\(\\angle a\\), we begin \\(\\underline{…
D. by drawing a ray with an endpoint
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question 21 points 2 if you bisect a 70° angle, which of the following …
A. \(35^\circ\)
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which terms describe this shape? choose all that apply. shape image squ…
kite (The correct term is kite. The previously selected options (square, rhombus, parallelogram) are incorrect as the shape does not meet their definitions. Only kite applies as i…
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abcd is a parallelogram. if $\\angle b = 2x - 15^\\circ$ and $\\angle d…
$\angle A = 165^\circ$ and $\angle C = 165^\circ$ (the second option: $\boldsymbol{\angle A = 165^\circ}$ and $\boldsymbol{\angle C = 165^\circ}$)
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which terms describe this shape? choose all that apply. rhombus paralle…
rhombus, parallelogram, square, rectangle (all the given options are correct as the shape has four right angles and four equal - length sides, satisfying the definitions of rhombu…
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23 find the missing leg length. pythagorean theorem ( a^2 + b^2 = c^2 )…
A. b = 24
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which terms describe this shape? choose all that apply. rectangle rhomb…
The correct terms are: - rhombus - parallelogram (So the correct options are the ones labeled "rhombus" and "parallelogram" among the given choices.)
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8 mi, 16 mi, x, a 22.6 miles, b 27.7 miles, c 13.9 miles, d 11.3 miles
C. 13.9 miles
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in the given parallelogram, find the value of x. 14 3x + 2 options: x =…
\(x = 4\) (corresponding to the option "x = 4")
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isosceles and equilateral triangles 1. which of the following statement…
B. \( FE = 40 \) ### Question 2
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which terms describe this shape? choose all that apply.
parallelogram
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in $\\triangle abc$, $o$ is the centroid of the triangle and $ao$ is $7…
AY = 11.7 cm (corresponding to the option "AY = 11.7 cm")
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match the inequality below to the correct graph. 1 > x a number line wi…
A. [Graph with open circle at 1, arrow left]
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fill in the blank 1 point are the triangles congruent? choose your answ…
Yes, the triangles are congruent. The postulate that can prove this is the SSS (Side - Side - Side) postulate.
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in the triangle xyz, lm is the midsegment. find the length of yz. 3.6 c…
7.2 cm
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fill in the blank 1 point are the triangles congruent? choose your answ…
Yes, the triangles are congruent by the Hypotenuse - Leg (HL) postulate.
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describe each statement as always, sometimes, or never true. the centro…
1. "The centroid is located outside the triangle." - Never 2. "Using the perpendicular distance between the two, the orthocenter is equidistant from each side of the triangle." - …
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if the measure of angle 3 = 40°, what is the measure of angle 5? 4 1 3 …
\(40^{\circ}\) (corresponding to the first option: \(40^{\circ}\))
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given: de || af if ∠1 = 60° and ∠3 = 100°, find the measures of the rem…
\(\angle 2 = 20^\circ\), \(\angle 4 = 60^\circ\), \(\angle 5 = 100^\circ\), \(\angle 6 = 80^\circ\) (the first option)
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the graph shows g(x), which is a translation of f(x) = x². write the fu…
\( g(x) = x^2 + 8 \) (or in the form \( 1(x - 0)^2 + 8 \))
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what is the center for the circle with this equation $x^2 + y^2 + 4x + …
B. \((-2,-3)\)
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what is the measure of angle abd? what circle property rule did you use…
The measure of \(\angle ABD\) is \(90^{\circ}\). The circle property rule used is: An angle inscribed in a semicircle is a right - angle.
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what is the value of dc? (to the nearest hundredth) 5 in, 8 in (image o…
4.43
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the figures below are similar. the labeled sides are corresponding. ima…
\(4:1\)
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from winesburg, ohio all through his boyhood and young manhood george w…
4. restlessness and contentment
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the figures below are similar. the labeled sides are corresponding. wha…
\(4:1\)
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question image q. what is the value of dc? (to the nearest hundredth)
# Explanation: ## Step1: Recall the Secant-Secant Theorem The Secant - Secant Theorem states that if two secant segments are drawn to a circle from an external point, then the pro…
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20 directions - fill in the blanks with the correct terms. a) the pytha…
a) right b) legs c) hypotenuse d) square root
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in circle m, or = 6 and vt = 5. find x, the length of \\overline{tr}.
\( 4 \)
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q. which of the following names a diameter? (image of a circle with cen…
segment AC
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question 14 points 3 a 10- foot lamp pole casts a shadow of a length of…
20 ft (corresponding to the option "20 ft")
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the figures below are similar. the labeled sides are corresponding. 5 m…
\(25:36\)
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19 pythagorean theorem what is the longest side of a right triangle? a …
D. Hypotenuse
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18 what is the pythagorean theorem? a a + b + c b $a^2 + b^2 = c^2$ c $…
B. $a^2 + b^2 = c^2$
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if sw = 2x + 44 and tv = x + 64, what is tv? tv = \\boxed{}
\( 43 \)
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if $st = w + 69$ and $ru = -2w + 42$, what is the value of $w$? (there …
\(3\)
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17 which of the following correctly uses the pythagorean theorem to fin…
D. $x^{2}+8^{2}=(10)^{2}$
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find the perimeter of the triangle. a) 63.8 b) 39.7 c) 37.5 d) 62
D) 62
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type the correct answer in the box. the area of a trapezoid is calculat…
\( \boldsymbol{\frac{2A}{h}-b_1} \)
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q is the midpoint of ru and t is the midpoint of su. if rs = b and qt =…
\(13\)
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hk is a midsegment of δgij. if ij = z + 41 and hk = -z + 28, what is th…
\( z = 5 \)
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find the missing angles or arcs. (there is a circle with a central angl…
\(20^\circ\)
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q is the midpoint of \\(\\overline{ru}\\) and t is the midpoint of \\(\…
\(8\)
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find the missing angles or arcs.
\( 90 \)
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16 pythagorean theorem find the hypotenuse, x, of the right triangle. r…
D. x = 13 m
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ma.912.gr.2.1 70. suppose δdef is the image of a translation of δabc. i…
B. \( (x,y) \to (x - 3,y + 5) \)
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question 13 points 2 if the two triangles are similar, what would be th…
\( 68^\circ \) (Option: \( 68^\circ \))
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tv is a midsegment of δrsu. if rs = 4z - 72 and tv = z - 4, what is the…
\( z = 32 \)
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15 use the pythagorean theorem to determine if the following is a right…
A. Yes, this is a right triangle
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writing an algebraic expression in exercises 13–22, write an algebraic …
\((2n - 1)(2n + 1)\) ### Problem 14
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4. the vertex of a parabola is (1.5, 9) and the zeros are (1, 0) and (2…
The equation of the parabola is \( y = -36(x - 1.5)^2 + 9 \) (or \( y = -36x^2 + 108x - 72 \)) and the graph has vertex \((1.5, 9)\) and passes through \((1, 0)\) and \((2, 0)\) o…
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14 which of the following correctly uses the pythagorean theorem to fin…
D. $x^{2}+6^{2}=10^{2}$
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w is the midpoint of vx and u is the midpoint of vy. if xy = x - 29 and…
\(z = 65\)
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a parallelogram is translated 5 units to the left and reflected across …
The two parallelograms are congruent and a rigid motion was performed. (The option corresponding to this statement, e.g., if it's the third option in the list, then "The third opt…
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11) x 16 28° 12) 13 28° x
\(x\approx30.1\) ### Problem 12:
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13 the pythagorean theorem works with ______ triangles. a obtuse b righ…
B. Right
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if vw = p and ux = 2p - 93, what is the value of p? v u t x w p = \\squ…
\(p = 62\)
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triangle abc is rotated clockwise about the origin through 90°. the res…
The vertices after the transformations are \( A(-2, 0) \), \( B(2, 1) \), and \( C(-1, 2) \) (same as original, since total rotation is 360°).
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s is the midpoint of \\(\\overline{rt}\\) and v is the midpoint of \\(\…
\(7\)
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the point marked in the grid is reflected across y-axis. identify the c…
D. (1, 1) (assuming the last option is D, if options are labeled as A: (1,-1), B: (-1,-1), C: (-1,1), D: (1,1))
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1. use the primary trigonometric ratios to solve for x to the nearest c…
For the first triangle, \(x\approx12\) cm; for the second triangle, \(x\approx41^{\circ}\)
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3) for ∠x, label each side as opposite, adjacent, or the hypotenuse. 2)…
Side opposite ∠X: 24; Side adjacent ∠X: 18; Hypotenuse: 30; $\sin(X)=\frac{24}{30}$; $\cos(X)=\frac{18}{30}$; $\tan(X)=\frac{24}{18}$
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question 8 points 1 rotate the given image about 90 degrees in a clockw…
C. (The option C's figure)
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31 pythagorean theorem identify the parts of the right triangle shown b…
Leg(s): x, y; Hypotenuse(s): z
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the vertices of triangle abc are (3, - 3), (1, 6), and (4, 3). identify…
A. \(A'=(3, 3), B'=(1, - 6), C'=(4, - 3)\)
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how many lines of symmetry does a square have? ○ 2 ○ 4 ○ 3 ○ 1
B. 4 (assuming the option with 4 is labeled as B, if the options are in the order 2,4,3,1 then the correct option is the second one which is 4)
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s a midsegment of $\\triangle pqs$. pq = -18y + 68 and rt = 8y, what is…
\(y = 2\)
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question 5 points 2 identify the symmetry. image of a pentagon-like sha…
A. line symmetry
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there is a right triangle with one leg labeled 8 mi, the hypotenuse lab…
A. $8\sqrt{3}$ miles
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question 4 points 1 which of the following represents the coordinates o…
The coordinates of C after translation are \((6,11)\)
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a transformation in which the figure is turned about a fixed point is c…
B. rotation (assuming the option for rotation is labeled as such; in the given options, the second option is "rotation")
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example 2 and check your understanding 2 describe the sequence of trans…
For the left graph (Example 2): 1. Rotate the preimage 90° clockwise about the origin. 2. Translate 3 units to the right and 2 units up. 3. Rotate 90° clockwise about the point (1…
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choose the statement that is correct about the pythagorean theorem. a t…
A. The square of the largest side of a right triangle is equal to the sum of the squares of the two other sides.
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the area that contains all the points outside of an angle is called the…
B. exterior
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the base line de and the top face line mn are _______ lines. options: p…
D. skew
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7) a right triangle with angle 28°, adjacent side 18, hypotenuse x. 8) …
s: 7) \(x\approx20.4\) 8) \(x\approx5.73\) 9) \(x\approx8.75\) 10) \(x\approx9.96\)
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8 pythagorean theorem what is the value of c in the figure given below?…
A. $\sqrt{58}$ ft
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multiple choice 1 point 16 what additional information do you need to p…
A. ∠G ≅ ∠K
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what additional information do you need to prove the triangles are cong…
MN ≅ QN