幾何
三角形、圓、解析幾何與證明題。
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1. which of the following statements are conditional statements? choose…
1. If an angle is a right angle, then its measure is 90 degrees 2. B. You live in Indianapolis, D. You live in Bloomington 3. If two angles are supplementary, then they have a sum…
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complete the steps to find the value of x. 72° (7x + 24)° + (7x + 24) =…
$x = 12$
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11. in the diagram to the right, m<dbc = 60°. find each of the followin…
$\angle EBD = 30^\circ$ $\angle FBE = 90^\circ$ $\angle CBF = 180^\circ$
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calculate area within 0.1 of the unit used. use 3.14 for pi. to find th…
\(251.5\ in^{2}\leq\text{area}\leq257.2\ in^{2}\)
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given m∠1 = 105°, find m∠4, m∠5, and m∠8.
$m\angle4 = 105^{\circ}$, $m\angle5 = 105^{\circ}$, $m\angle8 = 105^{\circ}$
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given m∠1 = 105°, find m∠4, m∠5, and m∠8. m∠4 = □° m∠5 = □° m∠8 = □°
$m\angle4 = 105^{\circ}$ $m\angle5 = 105^{\circ}$ $m\angle8 = 105^{\circ}$
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complete the steps to find the value of x. 128° 2x° 2x = x =
$2x = 128$ $x = 64$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $-\frac{3}{8}$
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measuring in inches how many inches? 2 inch 1 inch 0.5 inch 1.5 in 3.5 …
The lengths provided in the image (from top - to - bottom) are correct as written: 2 inches, 1 inch, 0.5 inch, 1.5 inches, 3.5 inches, 4 inches. For the last two un - labeled meas…
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directions: if ( lparallel m ), solve for ( x ) and ( y ). 9. 10.
For problem 9: $x = 11,y = 3$ For problem 10: $x=-\frac{22}{3},y =-\frac{17}{2}$
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2. determine if the following lines are parallel.
1. Yes/No: Yes, Justification: Corresponding angles are equal. 2. Yes/No: Cannot be determined, Justification: Insufficient angle information. 3. Yes/No: Cannot be determined, Jus…
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dilations a dilation takes a figure and enlarges or reduces by a scale …
A dilation takes a figure and enlarges or reduces it by a scale factor. Dilations include enlargement (where the image is larger than the pre - image) and reduction (where the ima…
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given the diagram below, answer the following: what is the angle relati…
The equation is \(3x - 10+5x + 30=180\), \(x = 20\), measure of angle \(1=(3x - 10)^{\circ}=50^{\circ}\)
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for items 8 - 9, use the number line below. g h i j k l m n o -4 -3 -2 …
for 8: 4
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jada bought some sugar and strawberries to make strawberry jam. sugar c…
D. Point D
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7. here are 2 points in the plane. explain how to construct a line segm…
Construct the perpendicular bisector of segment AB to find its mid - point. The line segment from either A or B to the mid - point is half the length of segment AB.
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8 which of the following is not true about vertical lines? a vertical l…
C. Vertical lines have equations of the form \(y = b\).
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9) 10) find the value of x that makes lines u and v parallel. 11) 12) 1…
11) \(x = 6\) 12) \(x = 7\) 13) \(x=-37\) 14) \(x = 6\) 15) \(x = 12\) 16) \(x = 8\) 17) \(x eq8\) (e.g., \(x = 9\)) 18) No, because angles formed by two lines and a transversal …
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6. diegos go - cart has a gas tank with the dimensions shown below. vol…
Volume of the gas tank = 8000 cubic centimeters 8 cans
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7. here are 2 points in the plane. explain how to construct a line segm…
1. First, use a compass to draw arcs from points A and B to construct the perpendicular bisector of segment AB. The intersection of the perpendicular bisector and segment AB gives…
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15) sas state what additional information is required in order to know …
# Explanation: ## Step1: Recall triangle - congruence criteria SAS (Side - Angle - Side) requires two sides and the included angle to be congruent. AAS (Angle - Angle - Side) requ…
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7. here are 2 points in the plane. explain how to construct a line segm…
Construct the perpendicular bisector of segment AB using a compass and straight - edge. The segment from either A or B to the mid - point (where the perpendicular bisector interse…
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2. which figure is the image of △def after a translation? (i, ii, or ii…
$(2,5)$
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5. noah is trying to bisect angle bac. he draws circles of the same rad…
Noah should have drawn circles from vertex A instead of from points B and C to bisect angle BAC.
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a side of the triangle below has been extended to form an exterior angl…
$25$
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1. move 1: translate 3 units right. move 2: reflect over the x - axis.
The new coordinates of the point after the given transformations are obtained by first adding 3 to the $x$-coordinate of the original point and then changing the sign of the $y$-c…
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2. this diagram is a straightedge and compass construction of a square …
The steps described correctly construct a square \(BACD\) because they ensure that all four sides are of equal length and all four angles are right - angles.
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copy each diagram and rotate the shape about the centre c by the given …
The rotated shapes are obtained by applying the above - mentioned rotation rules for each of the given shapes about the center \(C\) with the given angles of rotation. The actual …
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the measures of the angles of a triangle are shown in the figure below.…
18
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1. the vertices of △abc are a(-1,8), b(-6,10), c(-8,5). translations on…
The translation rule is $(x,y)\to(x + 8,y-6)$, $A'=(7,2)$, $B'=(2,4)$, $C'=(0,-1)$
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find the measure of the indicated angle that makes lines u and v parall…
1. \(130^{\circ}\) 2. \(128^{\circ}\) 3. \(66^{\circ}\) 4. \(80^{\circ}\) 5. \(90^{\circ}\) 6. \(81^{\circ}\) 7. \(53^{\circ}\) 8. \(58^{\circ}\)
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the length of a rectangle is six more than the width. if the width is r…
$y+6$
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let x represent one quantity. state what that quantity represents. expr…
The width of the rectangle is \(x\) and the length of the rectangle is \(3x - 4\)
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proving lines parallel find the measure of the indicated angle that mak…
1) $130^{\circ}$ 2) $128^{\circ}$ 3) $66^{\circ}$ 4) $80^{\circ}$ 5) $90^{\circ}$ 6) $81^{\circ}$ 7) $53^{\circ}$ 8) $58^{\circ}$
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directions select up to 2 number line button(s) below. click to activat…
The correct number - line button is the one with two open circles and shading in opposite directions (the one with an open circle at 3 and shading to the left and an open circle a…
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4. jada wanted to construct a line perpendicular to line ℓ through poin…
The circles were not constructed with the correct centers for constructing a perpendicular line to $\ell$ through point $C$.
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4. jada wanted to construct a line perpendicular to line (ell) through …
The construction did not follow the correct steps for constructing a perpendicular line from a point to a line. The arcs were not drawn in the proper sequence starting from point …
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∠1 and ∠2 are vertical angles. if (mangle1=(17x + 1)^{circ}) and (mangl…
$86^{\circ}$
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which two triangles are congruent by the sas theorem? complete the cong…
\(\triangle HIJ\cong\triangle BDC\)
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if these two figures are similar, what is the measure of the missing an…
39
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if these two shapes are similar, what is the measure of the missing len…
8
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if these two shapes are similar, what is the measure of the missing len…
8
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what is the slope of this line? simplify your answer and write it as a …
-3
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△abc is the image of △abc under a translation. determine the translatio…
A translation by 7 units to the left and 5 units up.
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using the pencil, plot the reflection of point a across the y - axis.
Plot the point $(9,0)$ on the graph.
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9 fill in the blank 1 point a = type your answer... b = type your answe…
a = 90 b = 40 c = 40 d = 90 x = 50 z = 40
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solve the triangle. write each answer as an integer or as a decimal rou…
\(m\angle P\approx88.9^{\circ}\) \(m\angle Q\approx24.6^{\circ}\) \(m\angle R\approx66.5^{\circ}\)
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what is the area of the rectangle? 4 meters 6 meters square meters
24 square meters
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what is the coordinate of the midpoint of $overline{gh}$? write your an…
\(-0.5\)
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what is the coordinate of the midpoint of $overline{lm}$? write your an…
$-0.5$
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find the length of the third side. if necessary, round to the nearest t…
15
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find the length of the third side. if necessary, round to the nearest t…
$3.6$
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8. determine the value of x.
16
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one angle of an isosceles triangle measures 80°. what measures are poss…
A. $20^{\circ}$, B. $50^{\circ}$, D. $80^{\circ}$
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what is the name of this figure?
Line - segment RQ
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find the measure of $overline{ij}$. answer attempt 1 out of 2 submit an…
\(2\sqrt{545}\approx46.7\)
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find the missing measurements for each circle. you can use 3.14 as an a…
57.872
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answer attempt 1 out of 2 $b=square^{circ}$ $c=square^{circ}$
$b = 85^{\circ}$ $c = 95^{\circ}$
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answer attempt 1 out of 2 $x = square$ $y=square$
$x = 59$ $y = 59$
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given m||n, find the value of x. answer attempt 1 out of 2 x = submit a…
\(x = - 2\)
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what is an angle that is supplementary to ∠1?
∠3
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which angles are complementary to each other? ∠4 and ∠3 ∠4 and ∠1 ∠2 an…
$\angle2$ and $\angle3$
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which angles are complementary to each other? ∠2 and ∠5 ∠5 and ∠3 ∠2 an…
∠2 and ∠1
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which angles are adjacent to each other? ∠5 and ∠2 ∠1 and ∠4 ∠8 and ∠1 …
$\angle1$ and $\angle4$
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which angle is complementary to ∠6? ∠5 ∠4 ∠3 ∠1
∠5
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what is the value of x?
47
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multiply. 1\\frac{1}{3} \\times 1\\frac{3}{4} choose 1 answer: \\(\\tex…
# Explicación: ## Paso 1: Convertir números mixtos a fracciones impropias $1\frac{1}{3}=\frac{1\times3 + 1}{3}=\frac{4}{3}$ y $1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}$ ## Pa…
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find the measure of angle b. 1)
$56^{\circ}$
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question 7 of 10 fill in the blank. given ⊙o below, you can conclude th…
A. \(\overline{XY}\)
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what is this? line line segment ray
B. line segment
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name the marked angle in 2 different ways. answer attempt 1 out of 2
\(\angle H\), \(\angle KHI\)
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find the exact values of the six trigonometric functions of the given a…
For $\sin\frac{7\pi}{2}$, the answer is A. - 1. For $\cos\frac{7\pi}{2}$, the answer is B. The function is not defined.
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which angles are vertical to each other? ∠2 and ∠5 ∠3 and ∠5 ∠1 and ∠3 …
∠1 and ∠3
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question 8 of 10 the chord $overline{xy}$ is a diameter of $odot o$.
A. True
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the endpoints of $overline{cd}$ are $c(-4,7)$ and $d(0, - 3)$. the coor…
$(-2,2)$
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this image has rotational symmetry. what is the smallest number of degr…
18
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6. a(n) ____ is a part of a line consisting of two points, called ____ …
1. D. line segment, endpoints 2. E. line 3. C. $\overline{AB}$ is a line segment, $\overleftrightarrow{DE}$ is a line, and $\angle MNO$ is an angle. 4. A. acute 5. B. equal to; Re…
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what is the volume of this object? cubic units
27
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b. here are some points. what are the coordinates of d, e, and f after …
# Explicación: ## Paso 1: Identificar coordenadas originales Los puntos originales son \(D(3, 3)\), \(E(0, - 5)\) y \(F(-1,-2)\). La fórmula para la reflexión sobre el eje \(x\) e…
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find the measure of the missing angle. answer attempt 1 out of 2 a =
117
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graph the image of u(10, -4) after a translation 10 units left and 7 un…
The new coordinates of the image of U are (0, 3). To graph it, locate the point (0, 3) on the coordinate - plane where the x - value is 0 and the y - value is 3.
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what number can you multiply each length in the scale drawing by to fin…
5
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c. here are some points. what are the coordinates of g, h, and i after …
# Explicación: ## Paso 1: Identificar coordenadas originales Los puntos dados son \(G(3, - 1)\), \(H(0,4)\). La fórmula para una rotación de 270° en el sentido de las agujas del r…
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write the coordinates of the vertices after a dilation with a scale fac…
\(U'(-5,-10)\) \(V'(-5,10)\) \(W'(5,-10)\)
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the diagram is a straightedge and compass construction. lines l, m, and…
E. Point K is closer to point C than it is to point A or point B.
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the movement of the progress bar may be uneven because questions can be…
90
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the diagram below is a right rectangular prism. all the angles shown me…
$OP$ and $MN$, $OR$ and $KN$ (answers may vary depending on the specific segments chosen, as long as they are parallel in the prism)
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use the diagram and the given angle measure to find the other three. m∠…
$m\angle2 = 37^{\circ}$ $m\angle3 = 143^{\circ}$ $m\angle4 = 37^{\circ}$
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use the drawing tools to form the correct answer on the number line. gr…
On the number - line, there should be an open circle at - 4, an open circle at 7, and the line segment between them should be shaded.
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use a compass and straightedge to bisect ∠i. your final answer should b…
The ray IC (where C is the intersection - point of the two arcs drawn in steps 2 and 3) is the bisecting ray of ∠I.
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question find the distance between the two points rounding to the neare…
$8.5$
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what number can you multiply each distance in the scale drawing by to f…
1. **Explanation**: - In a scale - drawing, the scale factor is used to convert the measured distance on the drawing to the actual distance. If the scale is not given explicitly, …
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what number can you multiply each distance in the scale drawing by to f…
50000
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solve the inequality and graph the solution on the line provided. -5x +…
$\leq$ $x\leq5$ On the number - line, you would draw a closed circle at 5 (because the inequality includes equality, i.e., $\leq$) and shade the line to the left of 5.
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the diagram shows a triangle. what is the value of u? u = °
50
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$47^{\circ}$
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error analysis on a math test the students are given a right triangle. …
48
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given m||n, find the value of x. answer attempt 1 out of 2 x = submit a…
\(x = 21\)
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kuta software - infinite geometry naming angles name the vertex and sid…
1. - Vertex: $M$ - Sides: $\overrightarrow{MN}$, $\overrightarrow{ML}$ 2. - Vertex: $D$ - Sides: $\overrightarrow{DC}$, $\overrightarrow{DE}$ 3. - Vertex: $R$ - Sides: $\overright…
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figure h is the result of a transformation on figure g. which transform…
# Explicación: ## Paso 1: Comprender las transformaciones geométricas Una traslación mueve una figura sin rotar o reflectirla. Una rotación gira una figura en torno a un punto. Un…