幾何
三角形、円、座標幾何、証明問題。
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the polygon shown has a line of reflection that will cause the figure t…
$x=-3$
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what transformation transforms (a,b) to (a,-b)? a reflection over the y…
Question 1: a reflection over the x - axis Question 2: \(\angle Z\cong\angle Z\), \(XY\cong XY\)
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1. use the diagram below to answer the following questions. a) name all…
a) $\overline{SU}$, $\overline{TV}$, $\overline{ZW}$ b) $\overline{TX}$, $\overline{SV}$, $\overline{UW}$ c) $\overline{UW}$, $\overline{TX}$, $\overline{ZY}$ d) Plane $VWZ$ e) Pl…
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use the image to answer the question. determine the degree of rotation …
360 degrees
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the midpoint of $overline{jk}$ is $m(-2.5, 0.05)$. one endpoint is $k(1…
$(-18.6,-12.1)$
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the midpoint m of $overline{st}$ has coordinates (-6.75, 10.5). point t…
$(-4.2,10.5)$
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the midpoint of $overline{gh}$ is $m(-6.05, 8.8)$. one endpoint is $g(-…
$(6.6,8.9)$
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the midpoint m of $overline{uv}$ has coordinates (2.7, 5.8). point v ha…
$(13.7,4.2)$
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a gardener is planning a circular garden with a square flower bed. she …
the square's diagonal is equal to the circle's diameter
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vw has a midpoint at m(20.5, 43). point w is at (13, 15). find the coor…
$(28,71)$
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you are tasked to inscribe a square in circle o using a compass and str…
Draw a perpendicular diameter using the center of the circle as the intersection point
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list the angle measures of △qrs in order from smallest to largest. assu…
\(m\angle Q<m\angle S<m\angle R\)
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tu has a midpoint at m(-26, 33). point u is at (-78, 71). find the coor…
$(26,-5)$
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gh has a midpoint at m(-2.5, 25). point h is at (8, 35). find the coord…
$(-13,15)$
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kl has a midpoint at m(40, 42). point k is at (68, 12). find the coordi…
$(12,72)$
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find the largest angle of △ijk. assume that a is a positive number.
\(\angle K\)
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the midpoint m of st has coordinates (64.5, 39). point t has coordinate…
$(60,44)$
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if square abcd is inscribed in the circle, which of the following state…
C. Its length is equal to the side of the square.
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fg has a mid - point at m(12, 12.5). point f is at (10, 18). find the c…
$(14,7)$
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what part of the construction ensures that the vertices of the square i…
A. Drawing two perpendicular diameters of the circle
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find the shortest side of △wxy.
$\overline{XY}$
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gh has a midpoint at m(3, 10). point h is at (4, 17). find the coordina…
$(2,3)$
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the midpoint m of qr has coordinates (1.5, -2.5). point q has coordinat…
$(-7,-14)$
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what is the next step to complete the construction of the square? const…
Construct another diameter perpendicular to $\overline{GH}$.
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the midpoint m of $overline{pq}$ has coordinates (5, -7). point q has c…
$(5,-13)$
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suppose you have drawn a circle using a compass and marked its center. …
Draw a diameter across the circle using a straightedge
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the midpoint m of $overline{gh}$ has coordinates (-8.5, -3.5). point h …
$(-11,0)$
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find the smallest angle of △xyz.
$\angle Y$
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find the largest angle of △rst.
$\angle{S}$
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for exercises 2 and 3, circle the correct answer. choose all that apply…
2. b. $\frac{32}{10}$, d. $\frac{80}{25}$ 3. d.
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st has a mid - point at m(-4.5, 0). point s is at (-4, -4). find the co…
$(-5,4)$
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uv has a mid - point at m(8.5, 1.5). point u is at (8, 16). find the co…
$(9,-13)$
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find the shortest side of △uvw.
\(UW\)
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find the smallest angle of δwxy.
$\angle Y\approx18.3^{\circ}$
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the midpoint of $overline{jk}$ is $m(4, 9)$. one endpoint is $k(0, 10)$…
$(8,8)$
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find the largest angle of △vwx.
$\angle V$
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find the smallest angle of △hij.
$\angle J\approx67.6^{\circ}$
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rs has a midpoint at m(4, 9). point s is at (3, 8). find the coordinate…
$(5,10)$
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find the shortest side of δvwx.
\(VW\)
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find the shortest side of △vwx.
\(VW\)
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14. a poster is 15 inches wide by 24 inches tall. a smaller version of …
160 square inches
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graph the trigonometric function. y = cos x+3 plot all points correspon…
Graph the points $(0,4),(\frac{\pi}{2},3),(\pi,2),(\frac{3\pi}{2},3),(2\pi,4)$ and draw a smooth cosine - like curve through them.
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f(8.1, 1.7) and g(-8.6, 0.4) are the endpoints of a line segment. what …
$(-0.25,1.05)$
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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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pq has endpoints at p(15.2, 7.8) and q(9.3, 9.6). find the midpoint m o…
$(12.25,8.7)$
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f(2.6, -5.3) and g(9.1, 6.3) are the endpoints of a line segment. what …
$(5.85,0.5)$
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find the value of x, y, and z in the parallelogram below.
$x = 91$, $y=\frac{88}{7}$, $z = 87$
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example 8 a pole and a stick stand vertically on a level ground. the st…
The height of the pole is $6.25$ m.
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find the value of x, y, and z in the rhombus below. (-8y - 9)° (9x - 5)…
$x = 10$, $y=-13$, $z=-42$
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find the value of x, y, and z, in the rhombus below. answer attempt 1 o…
\(x=-2\), \(y = 2\), \(z = 0\)
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nya is building a garden in her yard. she has 24 feet of fencing for he…
C. 9
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intercepts: vertex: axis of symmetry:
Intercepts: x - intercepts: $x=-3,x = 1$; y - intercept: $y=-3$ Vertex: $(-1,-4)$ Axis of symmetry: $x=-1$
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5. examine the rectangle shown below. find its perimeter and area. 6 mm…
Perimeter: $39.5$ mm, Area: $82.5$ $mm^{2}$
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find the value of x, y, and z, in the rhombus below.
\(x = 3\), \(y = 12\), \(z = 8\)
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an equation of a horizontal or vertical line in exercises 19 - 22, writ…
Equation of vertical line: $x=-2$ Equation of horizontal line: $y = 4$
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find the value of x and y in the parallelogram below. answer attempt 1 …
$x = 8$, $y=-167$
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10. which of the following is not a name for this line? select all that…
B. $\overline{ABC}$, E. $\overleftrightarrow{ABD}$
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choose all answers that describe the polygon wxyz if wx = xy = yz = zw,…
A. Parallelogram B. Quadrilateral D. Rhombus
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choose all answers that describe the polygon rstu if m∠r = 85°, m∠s = 9…
A. Parallelogram B. Quadrilateral
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find the measure of the missing angles. 31° b c
$b = 31^{\circ}$, $c = 149^{\circ}$
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2. 2 ft 7 ft 2 ft 7 ft 7 ft
63 square feet
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if the triangle was a right triangle and its legs were 8 and 13, what w…
\(\sqrt{233}\)
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8. given that a is the mid - point of segment bc, find the length of th…
### Explicación: ## Paso 1: Resolver la ecuación para el primer problema Como A es el punto medio de BC, entonces BA = AC. Entonces, 3x + 6=2x + 14. Restando 2x de ambos lados: 3x…
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fill in the sentence below with the description that most specifically …
all sides are of equal measure and it is equiangular
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fill in the sentence below with the description that most specifically …
square
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find the midpoint m of the line segment joining the points p=(3, - 8) a…
$(1,0)$
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13. find the mistake below and highlight or circle the step where it ha…
El error está en el paso 3 original. El valor correcto de $q$ es $q = 22$.
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in the figure below, g is between e and h, and f is the mid - point of …
16
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in the figure below, f is between e and g, and g is between f and h. if…
$5$
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the point t is the mid - point of sv. find the location of v. location …
9
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the point b is the mid - point of $overline{ac}$. find the location of …
$-40$
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find the location of q, the midpoint of pr. location of q:
$5$
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the point b lies on the segment ac. find the coordinates of b so that t…
$(18,8)$
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the point q lies on the segment pr. find the coordinates of q so that t…
$(7,-9)$
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the point n lies on the segment mp. find the coordinates of n so that m…
$(-1,4)$
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what other information is needed to prove that △abc ≅ △qrs by asa congr…
\(\overline{AB}\cong\overline{QR}\) (the first option)
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steve wants to prove that △klm ≅ △uts using the asa congruence theorem.…
\(\overline{KL}\cong\overline{UT}\)
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which congruence theorem proves △abc ≅ △xyz (1 point) asa theorem aas t…
AAS Theorem
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which parallelogram is divided into two triangles that can be proven co…
WXYZ
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if △abc ≅ △cda by hl theorem and $overline{ac}=21 m$ and $overline{ad}=…
$20m$
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(1 point) these two triangles are congruent. what theorem would apply t…
SAS Congruence Theorem
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find the desired slopes and lengths, then fill in the words that best i…
length of $\overline{NO}=\sqrt{61}$ length of $\overline{PQ}=\sqrt{61}$ length of $\overline{QN}=5$
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which theorem would you use to prove that these to triangle congruent? …
ASA Congruence Theorem
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to show how aas follows from the definition of congruence, answer the f…
rotation
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what additional information is needed to in order to prove △cde and △cd…
\(\angle DCE\cong\angle DCQ\)
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what other information is need to prove △abc≅△qrs by asa congruence the…
$\angle A\cong\angle Q$
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matt and mary are comparing △cat with right angle a with △dog with righ…
Matt is correct; the triangles are right triangles where the leg and the hypotenuse of one triangle is congruent to a leg and hypotenuse of the other triangle.
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click on the graph to plot a point. click a point to delete it. find th…
slope of $\overline{NO}$: Can't be determined without coordinates slope of $\overline{PQ}$: Can't be determined without coordinates slope of $\overline{QN}$: Can't be determined w…
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12. find the midpoint of (2, 1) and (-6, 5). (encuentra el punto medio …
# Explicación: ## Paso1: Usar fórmula para x - coordenada del punto medio $x=\frac{x_1 + x_2}{2}=\frac{2+( - 6)}{2}$ ## Paso2: Calcular x - coordenada $\frac{2+( - 6)}{2}=\frac{2 …
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the formula for the circumference of a circle is c = 2πr. use this form…
C. $r = \frac{C}{2\pi}$
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find the desired slopes and lengths, then fill in the words that best i…
slope of $\overline{NO}=-\frac{3}{2}$, length of $\overline{NO}=2\sqrt{13}$ slope of $\overline{OP}=\frac{5}{6}$, length of $\overline{OP}=\sqrt{61}$ slope of $\overline{PQ}=-\fra…
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to prove the triangles are congruent, which of the following rigid moti…
rotation - 90° (clockwise) about point J, then translation along the vector, mapping point H to point Z
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to prove the triangles are congruent, which of the following rigid moti…
translation along the vector so that point B maps to point A
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what term precisely describes triangles that can be mapped onto one ano…
A. congruent
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congruency of triangles quick check given △trs≅△vxw, which of the follo…
$\overline{ST}\cong\overline{WV}$
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find the desired slopes and lengths, then fill in the words that best i…
Since we don't have the actual coordinates of the points $N$, $O$ and $P$ from the graph, we can't give numerical values. But the general - form for slope of $\overline{OP}$ is $\…
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given the formula for the perimeter of a rectangle where (l) represents…
D. The 2 represents the two sets of length and width pairs.
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if ∠x ≅ ∠l, ∠p ≅ ∠m, ∠a ≅ ∠k, (overline{pa}congoverline{mk}), (overline…
A. $\triangle PAX\cong\triangle MKL$
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use the graph to determine the length of segment de. enter the coordina…
2
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11. given that ac = 48, find ab. (dado que ac = 48, encuentre ab.)
16