几何
三角形、圆、解析几何与证明题。
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pqrs and efgh are polygons that can be mapped onto each other using sim…
\(\frac{1}{2}\)
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solve for x. d j e f g h i k 92° (9x + 20)° x = save answer
# Explanation: ## Step1: Use the property of consecutive interior angles When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(…
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select the correct answer. a similarity transformation maps △abc to △jk…
C. \(105^{\circ}\)
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how many triangles in the diagram can be mapped to one another by simil…
A. 2
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what is m∠edh? m∠edh=□°
\(110\)
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which sequence of transformations maps polygon abcd onto polygon wxyz? …
C. a reflection of polygon \(ABCD\) followed by a dilation of the image with a scale factor of \(2\)
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what is ( moverarc{qs} )? ( moverarc{qs} = ) ( circ )
\(140\)
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for each triangle, check all that apply. triangle a triangle b triangle…
- Triangle A: Scalene - Triangle B: Isosceles - Triangle C: Equilateral, Isosceles
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for each figure below, determine (by using the markings) if there is a …
(a) Not Necessarily Congruent (b) Congruent: \(\triangle GHI\cong\triangle JKL\) by the SAS (Side - Angle - Side) (c) Congruent: \(\triangle UVW\cong\triangle ZYX\) by the AAS (An…
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each picture shows a figure and its reflection. which picture shows the…
The first picture (top - left) shows the line of reflection.
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a 12 - foot ladder is placed 4 feet away from a house as shown. what is…
\(x\approx72^{\circ}\); Yes, the ladder is being used safely.
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select the proportion that relates the corresponding sides. a) \\( \\fr…
C. \(\frac{FG}{JK}=\frac{FH}{KL}=\frac{GH}{JL}\)
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question 3 of 10 based only on the information given in the diagram, it…
A. True
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find the length of the third side. if necessary, write in simplest radi…
\(4\)
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give an expression that generates all angles coterminal with the given …
B. \(-334^{\circ}+n\cdot360^{\circ}\)
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coach hernández made a scale drawing of the school gym. the scale of th…
\(10\)
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answer the questions below. write your answers in simplest form. (a) a …
(a) \( 3 \) cm (b) \( 12 \) m
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use the figure to find the measure of angles aob, aoe, and eod. questio…
\( m\angle AOB = 90^{\circ} \)
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the diagram shows a triangle. what is the value of c? c = □°
\(16\)
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look at this diagram: if \\( \\overleftrightarrow{q s} \\) and \\( \\ov…
\(58\)
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quadrilateral abcd is translated down and left to form quadrilateral ol…
\(6\) units
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solve for x and graph the solution on the number line below. 33 ≥ 4x - …
Inequality Notation: \(3\leq x\leq9\) To graph on the number - line: Place a closed circle at \(x = 3\) (because \(x\) can be equal to 3) and at \(x = 9\) (because \(x\) can be eq…
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question 1 of 10 what is the value of x in the figure below? in this di…
F. \(\frac{45}{4}\)
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start by substituting the value of a and b in the pythagorean theorem e…
\(8^{2}+5^{2}=c^{2}\)
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triangle trs is rotated about point x, resulting in triangle bac. if ab…
\(20\) ft
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solve for x and graph the solution on the number line below. -72 > -9x …
Inequality Notation: $x > 8$. On the number - line, there is an open circle at $8$ (since $x$ is not equal to $8$) and the line extends to the right (towards larger numbers) from …
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select the passage that has a more informative tone. the \standing - si…
The first passage (The "standing - sitting dive" must be made from a good diving board. The diver stands at the edge of the board with his or her arms straight down. The hands sho…
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complete the proof given: \\( \\overline { b c } \\cong \\overline { d …
1. Given
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each circle counts as one whole. write a mixed number giving the amount…
(a) Mixed number: \(2\frac{3}{5}\) (b) Improper fraction: \(\frac{13}{5}\)
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find the distance between the pair of points. if necessary, express ans…
B. The exact simplified form does not contain radicals.
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question determine if the two triangles are necessarily congruent. if s…
are not
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what is the length of the hypotenuse? if necessary, round to the neares…
\(7.6\)
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plot the ordered pair $(-4,-1)$. state in which quadrant or on which ax…
The point \((-4,-1)\) lies in Quadrant III.
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what number can you multiply each length in the scale drawing by to fin…
\(3\)
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solve for x and graph the solution on the number line below. -25 > -2x …
Inequality Notation: \(10 < x < 12\) For the number - line: Draw an open circle at \(x = 10\) (since \(x>10\)) and an open circle at \(x = 12\) (since \(x < 12\)), then connect th…
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an altitude is drawn from the vertex of an isosceles triangle, forming …
The perimeter of the triangle is \(54.0\) inches.
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solve for $x$ and graph the solution on the number line below. $2\\geq …
Inequality Notation: \(x\leq - 7\) or \(x\gt11\) For the number - line: - For \(x\leq - 7\), we draw a closed circle at \(-7\) (because the inequality includes equality) and an ar…
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solve for x. x = submit
\(21\)
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for each figure below, determine (by using the markings) if there is a …
\(\triangle UVW\cong\triangle XYZ\) by the \(ASA\) (Angle - Side - Angle) congruence criterion.
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solve for x and graph the solution. (x - 1)(x + 6) < 0 plot the endpoin…
The solution of the inequality \((x - 1)(x + 6)<0\) is \(-6<x<1\). On the number - line, we plot open circles at \(x=-6\) and \(x = 1\) (because the inequality is strict, i.e., \(…
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solve for $x$ and graph the solution on the number line below. $-2x - 5…
Inequality Notation: $x\leq - 4$ or $x>1$ For the number line: - For $x\leq - 4$: Draw a closed circle at -4 and shade to the left. - For $x>1$: Draw an open circle at 1 and shade…
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graph {x | x ≤ -1 or x > 4}. plot the endpoints. select an endpoint to …
On the number - line: - At \(x=-1\), place a closed - circle (since \(x=-1\) is included in \(x\leq - 1\)) and draw a ray to the left. - At \(x = 4\), place an open - circle (sinc…
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7 select the correct answer from each drop - down menu given: \\( \\ove…
For \(\angle UTS\cong\angle VTS\): definition of an angle bisector. For \(\angle TUS\) and \(\angle TVS\) are right angles: definition of perpendicular segments. For \(\triangle U…
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determine if triangle ( abc ) and triangle ( def ) are or are not simil…
The triangles are similar because the ratios of their corresponding sides are equal (\(\frac{AC}{DF}=\frac{BC}{EF}=\frac{AB}{DE}=\frac{1}{2}\)), satisfying the SSS (Side - Side - …
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a square with a side length of 3 units is dilated with a scale factor o…
6
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which figure is a translation of figure a? figure b figure c figure d
Figure C
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each picture shows a figure and its reflection. which picture shows the…
The first picture (top - left) shows the line of reflection.
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find the area of the shape. (sides meet at right angles.)
\(30\) square millimeters
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finding coordinates of a pre - image triangle abc is translated to imag…
\((-2,3)\)
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identifying a translation assume each figure shown has the same orienta…
Figure \(4\)
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solve for x and graph the solution on the number line below. x + 3 ≤ 7 …
Inequality Notation: \(x\leq4\) To graph on the number - line: Place a closed circle at \(x = 4\) (because the inequality includes equality, i.e., \(x\) can be equal to \(4\)) and…
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interpreting diagrams the intersection of plane a and plane s will be t…
The intersection of plane \(A\) and plane \(S\) will be line \(f\). The intersection of lines \(n\) and \(k\) is point \(V\). Point \(X\) is the intersection of line \(m\) and pla…
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solve for ( x ) and graph the solution on the number line below. ( \fra…
Inequality Notation: \(x>0\) For the number line, you would place an open circle at \(0\) (since \(x = 0\) is not included in the solution) and shade to the right of \(0\) to repr…
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find the measure of the three missing angles in the parallelogram below…
\(x = 95\), \(y = 85\), \(z = 85\)
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which angles are supplementary to \\( \\angle 4 \\)? select all that ap…
\(\angle2\) and \(\angle6\)
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give a pair of alternate interior angles, a pair of corresponding angle…
(a) $\angle2$ and $\angle7$ (b) $\angle5$ and $\angle7$ (c) $\angle1$ and $\angle3$
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points w, k, and p are collinear. line ca and line yk intersect at. poi…
Line \(CA\) and line \(YK\) intersect at \(A\). Point \(W\) is not contained on line \(m\).
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12. $qc = 6$. find $ql$.
\(9\)
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solve for $x$ and graph the solution on the number line below. $36 \\le…
Inequality Notation: \(x\geq9\) For the number - line: Draw a number line. Place a closed circle (because the inequality is \(\geq\)) at \(x = 9\) and draw an arrow to the right (…
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name the postulate, if possible, that makes the triangles congruent.
HL
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solve for $x$ and graph the solution on the number line below. $7x\\geq…
Inequality Notation: \(x\geq - 4\) To graph on the number line: Place a closed circle at \(-4\) (because the inequality is \(\geq\)) and shade to the right of \(-4\).
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determine whether a triangle with the given vertices is a scalene, isos…
(a) Isosceles triangle (b) Isosceles triangle (c) Scalene triangle
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find q. write your answer as an integer or as a decimal rounded to the …
\(20.9\)
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a is the center of the circle, and the length of cd is 15 centimeters. …
segment \(AE\) (or \(AG\) or \(AB\) or \(AD\) or \(AC\))
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type the correct answer in the box. what trigonometric expression can b…
\(\frac{12}{x}\)
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an equilateral triangle and an isosceles triangle share a common side. …
\(106\)
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solve for $x$ and graph the solution on the number line below. $-1<\\fr…
Inequality Notation: \(x > - 2\) On the number - line, we have an open circle at \(x=-2\) (because the inequality is strict, i.e., \(x eq - 2\)) and the line extends to the right…
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$overline{r s} perp overline{r t}, overline{q t} perp overline{q s}$, a…
4. All right angles are congruent 5. Vertical angles theorem 6. ASA (Angle - Side - Angle) congruence criterion
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solve for $x$ and graph the solution on the number line below. $0<\\fra…
Inequality Notation: \(x<0\) On the number line, we draw an open circle at \(0\) (because \(x eq0\)) and shade the part of the number line to the left of \(0\).
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1. select all the statements that are true for \\( \\triangle a b c \\)…
1. A. \(\overline{AH}\) is an altitude (True), C. \(\overline{JC}\) is a median (True) 2. B. \(6\) 3. C. \(4.8\) 4. D. \(6.3\) 5. A. The centroid will always be inside the scalene…
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for each part below, use the figure to fill in the blank. if necessary,…
\(m\angle X = 100^{\circ}\), \(m\angle V = 60^{\circ}\)
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find the length of the missing side. provide an answer accurate to the …
\(29.4\) inches
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what is the scale factor of the dilation? scale factor =
\(5\)
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the diagram shows a triangle. what is the value of u? u = square^{circ}…
\(u = 82^{\circ}\)
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12. qc = 6. find ql.
\(9\)
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triangles abc and dbc have the following characteristics: bc is a side …
HL
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what is cos a? cos a = \\frac{?}{}
$\frac{8}{17}$
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find the measure of \\( \\angle g j k \\). \\( m \\angle g j k = \\) \\…
\(102\)
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the fence uses vertical posts l, m, and o to hold parallel rails n and …
B. \(86^{\circ}\)
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to find the distance ab across a river, a surveyor laid off a distance …
\(98\)
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a wire connects the top of a 128 foot tall cell tower to the ground. if…
\(131.92\)
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what is sin a? 17 8 15 sin a = ?
$\frac{15}{17}$
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a composition of transformations maps \\( \\triangle xyz \\) to \\( \\t…
a reflection across line \(m\)
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dilate △mku with a scale factor of ½. 9. what are the coordinates of m?…
9. \((-\frac{1}{2},1)\) 10. \((\frac{1}{2},3)\) 11. \((\frac{5}{2},1)\) 12. Reduction
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what is ( moverparen{jk} )? ( moverparen{jk} = ) ( circ )
\(145\)
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find the measure of \\( \\angle j p n \\). \\( m \\angle j p n = \\) \\…
\(98\)
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what is $mangle qtr$? $mangle qtr=square^{circ}$
\(60\)
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tuesday dilate \\( \\triangle t u v \\) with a scale factor of 3. 5. wh…
5. \((-3,6)\) 6. \((6,-3)\) 7. \((-3,-3)\) 8. Enlargement
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ik and ln are parallel lines. which angles are alternate exterior angle…
$\angle KJH$ and $\angle NMO$
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dilate △def with a scale factor of 1/2. 1. what are the coordinates of …
1. \((-2,1)\) 2. \((1,2)\) 3. \((-1,-2)\) 4. Reduction
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what is m∠usv? m∠usv= submit work it out not feeling ready yet? th
\(130\)
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ava walks diagonally across a rectangular park. the park is 10 meters w…
\(24\) m
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show what you know kal is building a skateboard ramp. the base of the r…
24 ft
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part b find and record the lengths of the sides in △abc and △def. then …
The lengths of sides in \(\triangle ABC\): \(AB = 2.24\), \(BC = 3.16\), \(CA = 5\). The lengths of sides in \(\triangle DEF\): \(DE = 3.35\), \(EF = 4.74\), \(FD = 7.5\). The rat…
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ik and ln are parallel lines. which angles are supplementary angles? ∠i…
\(\angle IJM\) and \(\angle IJH\)
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solve for x. x = submit
\(8\)
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what is ( mangle usv )? ( mangle usv=square^{circ} )
\(130\)
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what is m∠gfi? m∠gfi = submit
\(130\)
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solve for x. x = submit
\(25\)
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a right triangle has legs measuring 5 units and b units, with a hypoten…
\(12\)