几何
三角形、圆、解析几何与证明题。
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label the sides and angle and calculate the missing values in the trian…
Hypotenuse $\approx2.55$, Non - right angle $\approx39.1^{\circ}$
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label the sides and angle and calculate the missing values in the trian…
Adjacent side $\approx1.98$, Opposite side $\approx1.47$, Other acute - angle $ = 53.5^{\circ}$
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assume that each circle shown below represents one unit. express the sh…
One Fraction: $\frac{9}{8}$ Mixed Number: $1\frac{1}{8}$
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solve for x. round to the nearest tenth, if necessary. answer attempt 1…
$5.1$
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find the value of x.
$131$
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find the value of x.
$135$
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reflect the figure over the line y = 1. plot all of the points of the r…
To reflect a point $(x,y)$ over the line $y = 1$, the rule is $(x,2 - y)$. For each vertex of the triangle: Let's assume the vertices of the original triangle are $(x_1,y_1),(x_2,…
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answer attempt 2 out of 2 $overline{gh}$ is a segment bisector. $overli…
$G$ is the vertex of a right angle. $G$ is the midpoint of a segment in the diagram.
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in quadrilateral mnop, mp is congruent to on and mp is parallel to on. …
Since \(MP\) is parallel to \(ON\), alternate - interior angles \(\angle PMO\) and \(\angle NOM\) are congruent. \(MO\) is congruent to \(MO\). Triangle \(PMO\) is congruent to tr…
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reflect the figure over the line y = 1. plot all of the points of the r…
To plot the reflected figure, find the reflection of each vertex of the original triangle using the rule $(x,y)\to(x,2 - y)$ and then connect the reflected points.
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7. given a parallelogram pqrs, ∠pqr is 24. a. draw parallelogram pqrs a…
b. The measure of $\angle RSP$ is $24^{\circ}$ because opposite angles in a parallelogram are equal. c. The measure of $\angle QRS$ is $156^{\circ}$ because adjacent angles in a p…
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in the right triangle shown, the length of $overline{ac}=5$ and the len…
C. \(\sqrt{41}\)
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triangle abc is shown. what is sin(∠abc)? choose 1 answer: a 9√30 b 9√1…
B. $\frac{9\sqrt{130}}{130}$
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in the right triangle shown, the length of $overline{ac}=4$ and the len…
B. \(2\sqrt{21}\)
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a parallelogram wxyz is given. the angle measure of ∠w is 56°. 1. draw …
2. \(m\angle Y = 56^{\circ}\) because opposite angles in a parallelogram are equal. 3. \(m\angle Z = 124^{\circ}\) because adjacent angles in a parallelogram are supplementary (\(…
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from unit 1, lesson 15 find the surface area of this triangular prism. …
$3.6$
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5. klmn ~ pqrs; find x 6. △rst ~ △ysz; find yz
For problem 5: \(x = 7\) For problem 6: \(YZ=\frac{80}{3}\)
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consider the following function. q(x)=\begin{cases}\frac{1}{2x}&\text{i…
No graphs are given, but the graph has a hyperbola - like part \(y=\frac{1}{2x}\) for \(x < 2\) (open - circle at \(x = 2\)) and a decreasing linear part \(y=-\frac{4}{3}x\) for \…
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1) a room that is 20.8 feet by 14.6 feet has a 2.4 foot - wide slate wa…
51.6 feet
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a parallelogram wxyz is given. the angle measure of ∠w is 56°. 1. draw …
1. (Drawing not provided in text - based response, but for drawing: Draw a parallelogram with vertices W, X, Y, Z in order. Mark ∠W at one of the vertices.) 2. m∠Y = 56° because o…
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practice problems 6 from unit 1, lesson 14 a. what polyhedron can be as…
a. Triangular prism b. For the rectangular faces: lengths and widths of the rectangles; for the triangular faces: base and height of the triangle.
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example 5 parallelogram △hijk is shown. the value of x is ________ beca…
The value of \(x\) is \(125\) because opposite angles in a parallelogram are congruent. \(\angle H+\angle I = 180^{\circ}\) because they are supplementary angles. \(22 + 125+y=180…
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in the figure, $\triangle abc$ is congruent to $\triangle adc$. if the …
C. \(4:1\)
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solve the inequality. -9.1 < d - 6.3 the solution is . graph the soluti…
$d>-2.8$; The correct graph is the one with an open - circle at $-2.8$ and an arrow pointing to the right.
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the measures of the angles of a triangle are shown in the figure below.…
58
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name: chris.v example 2 given parallelogram abcd, prove △aed≅△ceb. stat…
The proof is completed as shown in the above - filled table, where we use the properties of parallelogram diagonals, the definition of bisectors, vertical - angles theorem and the…
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∠fba≅∠fdc alternate interior angles theorem ? ? \\(\\frac{fb}{fd}=\\fra…
A. Statement: $\triangle FDC\sim\triangle FAB$ Reason: AA
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a rectangular shaped park contains two gardens of multi - colored roses…
A. 148 meters
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select the correct answer. given: $overline{pr}$ bisects $angle qps$, $…
D. Use SAS to show triangle $PRQ$ is congruent to triangle $PRS$
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bee and butterfly: tale of two cousins lucy foster madison 3 which sent…
B. The wind laughed a gleeful accompaniment to the merry maidens who ran gaily down the path o'ershadowed by the trees.
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4. △bcd ~ △fge; find fe
28
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prism a and prism b are rectangular prisms. . prism a is 3 inches by 2 …
A. They have the same volume. B. They have the same number of faces. E. The surface area of Prism B is greater than that of Prism A.
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select the correct answers from each drop - down menu. this constructio…
1. $\frac{EC}{DC}$ 2. $BC$ 3. $\frac{BC}{DC}$
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solve the inequality. z - 4.7 ≥ -1.6 the solution is. graph the solutio…
$z\geq3.1$ To graph the solution: 1. On the number - line, find the point 3.1. 2. Since the inequality is $z\geq3.1$, we use a closed circle at 3.1 (because z can equal 3.1) and d…
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the measures of the angles in a triangle are 53°, 78°, and 49°. a simil…
A. 53°, 78°, and 49°
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c. a cube has an edge length of 3 in. what is its volume?
27 in³
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two parallel lines are cut by a transversal as shown below. suppose m∠3…
\(m\angle5 = 52^{\circ}\), \(m\angle8=52^{\circ}\)
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construction is under way at an airport. this map shows where the const…
B. 975 feet
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type the correct answer in the box. write your answer to two decimal pl…
14.42
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for each of the following quadrilaterals, select all the properties tha…
| | (a) Rhombus | (b) Square | (c) Parallelogram | |---|---|---|---| | Two pairs of parallel sides | $\square$ (check) | $\square$ (check) | $\square$ (check) | | Only one pair of…
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select the correct answer from each drop - down menu. in △abc, side bc …
The blanks should be filled as follows: 1. $\angle 1\cong\angle 2$ because $\overline{BD}$ bisects $\angle ABC$. 2. $\angle 2\cong\angle 3$ because alternate interior angles are c…
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for each of the following quadrilaterals, select all the properties tha…
(a) Trapezoid: Only one pair of parallel sides (b) Rectangle: Four right angles, Two pairs of parallel sides (c) Parallelogram: Two pairs of parallel sides
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type the correct answer in the box. use numerals instead of words. in p…
8
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select the correct answer from each drop - down menu. abcd is a paralle…
\(m\angle x = 63^{\circ}\), \(m\angle y = 45^{\circ}\), \(m\angle z = 72^{\circ}\)
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3. δmnp ~ δqrp; find pr
$21$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $-1$ and the equation of the line in slope - intercept form is $y=-x - 3$.
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find the volume of the rectangular prism. which expression can be used …
The first question: $2\times4\times8$ The second question: $6\times8$
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given: $overline{ab}paralleloverline{cd}$ and $overline{ad}parallelover…
The flowchart should have the following labels in order from left - to - right and top - to - bottom: "construct $\overline{AC}$, two points define a line", "alternate interior an…
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4. an obtuse triangle is one that contains an angle larger than 90°. th…
\(x = 7\)
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1. wxyz is a parallelogram with diagonals $overline{xz}$ and $overline{…
5. ASA congruency criteria 6. Corresponding parts of congruent triangles are congruent 7. Definition of a bisector
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4. an obtuse triangle is one that contains an angle larger than 90°. th…
\(x = 7\)
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statements reasons 1. wxyz is a parallelogram with diagonals (overline{…
Alternate interior angles theorem
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select the correct answer. abcd is a rectangle. ae = 3x - 6 and bd = 2x…
C. 6
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write an equation in slope - intercept form for line c. the equation of…
y=-1x + 2
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a man is considering two companies from which to rent a truck. triangle…
150
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kite abdc is shown. what is the value of x? (4x - 5)° (2x + 35)° a. x =…
D. \(x = 20\)
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select the correct answer. which figure will tessellate the plane? a. r…
D. regular hexagon
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select the indicated object in the diagram. then, write a statement for…
The highlighted object is a line - segment and its measure is 24 cm. So the statement is $\text{length of the line - segment}=24$ centimeters.
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line g is a straight line that passes through the origin. select any tw…
$y =-\frac{1}{3}x$
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on the coordinate grid, hailey drew figure 1 with vertices (-2, 2), (-2…
He rotated Figure 1 clockwise 90° followed by a translation.
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¿qué tienen en común los cuadrados y los rombos? marque todas las que s…
Ambas formas son cuadrila - términos. Ambas formas tienen lados opuestos paralelos.
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look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarr…
$118$
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
$68$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$70$
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
$113$
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triangle abc is shown. what is cos(∠bac)? choose 1 answer: a 7/√74 b 5√…
C. $\frac{7\sqrt{74}}{74}$
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write the equation of the line graphed below in simplest form.
$x = 4$
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(02.03 lc) what is the x - intercept of the graph (1 point) (-2,0) (0,-…
A. (-2,0)
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given: • p: student achieves 90 percent on the geometry final. • q: stu…
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
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complete the proof by choosing the correct eason\. given: bd = eg bc = …
1. Segment - addition postulate 2. Segment - addition postulate 3. Given 4. Substitution property of equality 5. Given 6. Substitution property of equality 7. Subtraction property…
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what is the measure of an exterior angle of a regular 13 - sided polygo…
27.7
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triangle abc is shown. what is tan(∠bac)? choose 1 answer: a $\frac{5sq…
D. $\frac{4}{5}$
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solve for x in this figure. enter your answer in the box. x = □°
$x = 61$
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complete the proof by choosing the correct eason\. given: be = df, ce =…
1. Segment - addition postulate 2. Segment - addition postulate 3. Given 4. Substitution property of equality 5. Given 6. Substitution property of equality 7. Subtraction property…
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(x + 55)^2+(y - 11.5)^2 = 121 a circle in the xy - plane has the equati…
22
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write the coordinates of the vertices after a translation 3 units up. c…
# Explicación: ## Paso 1: Identificar coordenadas originales Observando el gráfico, las coordenadas originales de $C$ son $(4, - 8)$, de $D$ son $(5,1)$ y de $E$ son $(8,-8)$. ## …
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what is the name of the line of reflection for the pair of figures? ent…
\(t\)
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the circle has center o, and the central angle of the shaded sector mea…
A. $\frac{1}{3}$
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unit 1 lesson 5 additional practice problems 1. triangles a, b, c, and …
a. greater than 1 b. less than 1 c. greater than 1 d. greater than 1 e. greater than 1 f. greater than 1 g. less than 1
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given: df = eg. prove: de = fg. 1 df = de + ef. reason? 2 eg = ef + fg.…
1. Reason: Segment - addition postulate 2. Reason: Segment - addition postulate 3. Reason: Substitution property of equality 4. Reason: Subtraction property of equality 5. Reason:…
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graph the line $x = -1$ on the axes shown below. type of line: choose o…
Type of line: Vertical line. To graph, find $x = - 1$ on the $x$-axis and draw a vertical line passing through it.
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19. archaeology a farm lane in ohio crosses two long, straight earthen …
Yes, the mounds are parallel because the corresponding angles formed by the farm - lane (transversal) with the two mounds are equal (both 63°).
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solve the inequality. graph the solution. -5n ≤ 15 the solution is
$n\geq - 3$; For the graph, we use the second option from the left (a closed - circle at - 3 and an arrow pointing to the right) on the number - line given in the problem.
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a circle with center r is graphed in the xy - plane. which of the follo…
D. $(x - 3)^2+(y + 4)^2=25$
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complete the proof by choosing the correct *reason*. given: bd = ce pro…
1. Reason: Segment - addition postulate 2. Reason: Segment - addition postulate 3. Reason: Given 4. Reason: Substitution property of equality 5. Reason: Subtraction property of eq…
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what is the correct classification for each given angle? drag and drop …
∠NPL: acute ∠JPL: obtuse ∠NPK: acute
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a preschool is building a sandbox. here is a diagram that shows the sid…
520 cubic feet
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when plotted, (-2,3), (0, -1), and (2, -5) appear to lie in a straight …
$(-1,1)$: 1 unit to the left and 1 unit above the origin. $(1,-3)$: 1 unit to the right and 3 units below the origin.
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2. write the ratio of arrows to circles in unsimplified and simplest fo…
Unsimplified: 8:6 Simplified: 4:3
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xyz, xyz, xyz, and xyz are shown on the coordinate grid. 6. determine w…
| Transformation | Algebraic Description | |--|--| | Rotation (90 - degree counter - clockwise about origin) | $(x,y)\to(-y,x)$ | | Dilation (centered at origin with scale factor …
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select all the true statements. a. p ⊥ q b. q ⊥ n c. m || n d. p ⊥ m e.…
C. $m\parallel n$
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what is the relationship between ∠m and ∠n? choose 1 answer. vertical a…
Vertical angles
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select all the true statements. a. the slope of m is -2/5. b. the slope…
A. The slope of $m$ is $-\frac{2}{5}$, B. The slope of $q$ is $-\frac{5}{2}$
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6. determine what transformations occurred and in what order: xyz is fi…
First dilated, then rotated, finally translated.
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use the given information to prove that $overline{st}congoverline{ut}$.…
$\overline{ST}\cong\overline{UT}$
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given: s is the mid - point of rt, u is the mid - point of vt, and rs≅v…
\(\overline{ST}\cong\overline{UT}\)
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4. determine the coordinates if qrst is first dilated then rotated: 5. …
is not
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geometry unit 6 lesson 2 homework name date period a sequence of transf…
1. Rotation: \(90^{\circ}\) counter - clockwise rotation about the origin; Dilation: Dilation centered at the origin with scale factor \(3\) 2. \(3\) 3. Dilation: \((x,y)\to(3x,3y…
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performing a reflection in the coordinate plane continued triangle xyz …
11. $4$ 12. $4$ 13. $3$ 14. $-4$ 15. $4$ 16. $-3$ 17. Reflecting across the $y$-axis changes the sign of the $x$-coordinate, reflecting across the $x$-axis changes the sign of the…
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this ellipse is centered at the origin. find its equation. vertices: (0…
$\frac{x^{2}}{32}+\frac{y^{2}}{36}=1$