几何
三角形、圆、解析几何与证明题。
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is there a series of rigid transformations that could map △klp to △qnm?…
Yes, \(\triangle KLP\) can be reflected across the line containing \(\overline{KP}\) and then translated so that \(P\) is mapped to \(M\).
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what is the image of (8, - 8) after a dilation by a scale factor of 1/4…
\((2, - 2)\)
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in the figure shown, t || x and k || w and m∠3 = 20. choose the list wh…
B. 7, 9, 14
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find the distance between the points (8, 3) and (5, 7). write your answ…
5
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solve for the value of e.
$56$
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figure m is the result of a transformation on figure l. which transform…
A. A reflection over the y - axis
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two students stand 1 yard apart and measure their respective angles of …
3.0 yards
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consider the diagram and the proof below. given: in △abc, ad ⊥ bc prove…
$c\sin(B)=b\sin(C)$
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what is the approximate measure of angle f? use the law of sines to fin…
44.4°
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use the law of sines to find the value of a. what is the best approxima…
3.0 cm
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which is the approximate measure of angle y? use the law of sines to fi…
$59^{\circ}$
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what type of lines are coplanar and do not intersect? a. parallel b. pe…
A. parallel
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triangle lmn has sides measuring 7 meters and 6 meters and a perimeter …
9 square meters
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in the figure below, l || m. find x.
\(x = 75^{\circ}\)
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7. the length of a rectangle is 5 less than twice its width. the perime…
7. Width: 6 meters, Length: 7 meters 8. 57 and 58 9. 71 and 73 10. 62 and 64 11. 27, 28 and 29 12. 10, 12 and 14
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what is the image of (8,0) after a dilation by a scale factor of 5 cent…
$(40,0)$
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in the given figure, which lines or segments are parallel? justify your…
# Explicación detallada: ## Paso 1: Comprender los teoremas y postulados de ángulos asociados con líneas paralelas Los ángulos internos del mismo lado son suplementarios cuando la…
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in the given figure, which lines are parallel? justify your answer. det…
A. FG||DB by the Converse of the Alternate Interior Angles Theorem
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from this given statement, select the definition, property, postulate, …
Definition of an angle - bisector
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two parallel lines are cut by a transversal as shown below. suppose m∠3…
$m\angle5 = 82^{\circ}$ $m\angle8 = 82^{\circ}$
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architecture for safety reasons, a construction worker wants to make su…
A. No, because the corresponding angles are congruent.
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the proof △abc≅△dcb that is shown. given: ∠a≅∠d; cd||ab prove: △abc≅△dc…
AAS
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look at this graph: what are the coordinates of the vertex?
(0, - 3)
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in the given figure, which lines are parallel? justify your answer. det…
# Explicación: ## Paso 1: Comprender los teoremas de ángulos y líneas paralelas Los teoremas de ángulos alternos internos, ángulos correspondientes y ángulos internos del mismo la…
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figure h is the result of a transformation on figure g. which transform…
A translation 3 units to the right and 2 units down.
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in the figure below, l || m. find x.
\(93\)
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which statements are true about reflections? check all that apply. an i…
An image created by a reflection will always be congruent to its pre - image. An image and its pre - image are always the same distance from the line of reflection. If a point on …
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if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel l…
$61$
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in the cube shown below, which lines are parallel? select all that appl…
A. $\overrightarrow{JN}$ and $\overrightarrow{LP}$ B. $\overrightarrow{IL}$ and $\overrightarrow{NO}$ C. $\overrightarrow{KL}$ and $\overrightarrow{OP}$
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draw line(s) to show how you decomposed the figure. what is the volume …
The volume of the first figure is 80 cubic - feet and the volume of the second figure is 425 cubic - inches.
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lesson 3.1 checkpoint once you have completed the above problems and ch…
| Preimage ABC | Image A'B'C' | Image A''B''C'' | |----|----|----| | $A(-1,2)$ | $A'(-1,-2)$ | $A''(1,2)$ | | $B(-3,4)$ | $B'(-3,-4)$ | $B''(3,4)$ | | $C(-2,5)$ | $C'(-2,-5)$ | $C…
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find the length of the third side. if necessary, round to the nearest t…
$19.5$
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solve for x to the nearest tenth.
$6.9$
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here are 2 points in the plane. explain how to construct a line segment…
Use a compass and straight - edge to first construct the perpendicular bisector of line segment AB to find its mid - point. Then, using the mid - point and compass, construct a li…
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josh runs from the northwest corner to the southeast corner of a rugby …
D. No. The paths they ran created two triangles, which can be shown to be congruent by SAS. Thus by CPCTC they both ran the same distance.
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is △pqr≅△psr? explain. a. yes. pq≅ps, pr≅pr, and ∠qpr≅∠spr. thus, △pqr≅…
A. Yes. $\overline{PQ}\cong\overline{PS}$, $\overline{PR}\cong\overline{PR}$, and $\angle QPR\cong\angle SPR$. Thus, $\triangle PQR\cong\triangle PSR$ by SAS.
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what other information, if any, do you need to prove the two triangles …
B. \(GT\cong NQ\) is needed because the congruent angles need to be included between two corresponding congruent sides.
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what is m∠hji? justify your answer. a. △def≅△hij by sas. by cpctc, ∠dfe…
A. $\triangle DEF\cong\triangle HIJ$ by SAS. By CPCTC, $\angle DFE\cong\angle HJI$. Thus, $m\angle HJI = f$.
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which ordered pair is shown on the graph?
(-3, - 3)
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the dimensions of a rectangle are represented by the functions shown. w…
$6x^{2}-35x + 36$
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look at this graph: what are the coordinates of the vertex? ( , )
(-2, -10)
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from unit 1 lesson 11 select all the points that stay in the same locat…
A. 1. B. Point B, C. Point C 2. a. Point \(P\) and any point on line \(l\) b. No
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Neither Graph 3: Perpendicular Graph 4: Parallel
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the radius, r, of a sphere is 8.2 mm. calculate the spheres volume, v. …
$2308.5$ mm$^{3}$
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rt and uw are parallel lines. which angles are alternate interior angle…
$\angle TSV$ and $\angle UVS$
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su and vx are parallel lines. which angles are alternate exterior angle…
$\angle XWY$ and $\angle UTR$
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in the given figure, which lines are parallel? justify your answer. det…
# Explicación: ## Paso 1: Comprender los teoremas de líneas paralelas Los teoremas de líneas paralelas se basan en las relaciones entre ángulos formados por una transversal. El Te…
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10. what is the value of x if the quadrilateral is a rhombus? 15 5x 4x …
3
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what is the value of x if the quadrilateral is a rhombus? 15 4x - 1 o 5…
D. 4
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z(0, 3) h(3, 4) x(4, -1) y(0, -3) rectangle trapezoid parallelogram qua…
quadrilateral
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gi and jl are parallel lines. which angles are alternate exterior angle…
$\angle GHF$ and $\angle LKH$
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y - 1 2y - 5 3y - 9 5 4 3 13
1. **Explanation**: - Since the figure appears to be a rectangle (assuming the right - angled corners indicate a rectangle), in a rectangle, opposite sides are equal. - We can set…
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6. what is the length of $overline{xy}$ if the quadrilateral is an isos…
7
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two parallel lines, p and q, are cut by the transversal d as shown. sup…
We see that ∠1 and ∠2 are vertical angles. Thus, ∠1 and ∠2 are congruent. So, \(m\angle2 = 65^{\circ}\). We see that ∠2 and ∠3 are corresponding angles. And since the lines \(p\) …
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5. determine the most precise name for the quadrilateral. quadrilateral…
B. trapezoid
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look at this diagram: if df and gi are parallel lines and m∠ghj = 44.1°…
$44.1$
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j(2, 1) m(3, 2) l(7, 2) k(2, - 3) rhombus parallelogram trapezoid isosc…
trapezoid
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look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarr…
$44.1$
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3. determine the most precise name for the quadrilateral. rhombus kite …
D. parallelogram
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$115.6$
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2. what is the length of $overline{ab}$ if the quadrilateral is an isos…
2
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$136$
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
$128.6$
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1. determine the most precise name for the quadrilateral. rectangle par…
B. parallelogram
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
$112.3$
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look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarr…
$63.4$
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look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarr…
$58$
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look at this diagram: if (overleftrightarrow{ce}) and (overleftrightarr…
$113.6^{\circ}$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$59.3$
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
$46$
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two parallel lines, s and t, are cut by the transversal d as shown. sup…
We see that ∠2 and ∠3 are corresponding angles. And since the lines s and t are parallel, ∠2 and ∠3 are congruent. So, \(m\angle3 = 140^{\circ}\). We see that ∠1 and ∠2 are linear…
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look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarr…
$45.3$
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look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarr…
$59$
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look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarr…
$43.8$
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look at this diagram: if $overleftrightarrow{rt}$ and $overleftrightarr…
$64$
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2. utilisez vos connaissances des racines carrées pour résoudre les lon…
For $A = 64cm^{2}$, side - length is $8cm$; for $A = 712m^{2}$, side - length is approximately $26.7m$; for $A = 9mm^{2}$, side - length is $3mm$; for $A = 88m^{2}$, side - length…
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student handout: unit 2 lesson 3 4. you know the juice to water ratio e…
4. Drink taste: More watery; Ratio: 1:2; Proportion: Not equal (1:3 is not equal to 1:2) 5. Drink taste: Very watery; Ratio: 1:6; Proportion: Not equal (1:3 is not equal to 1:6)
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you are playing tag with your friend on cool math games. pink unicorn i…
Approximately 388 pixels
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4. you know the juice to water ratio ecipe\ is __ : __. you are making …
4. Drink will taste more watery; ratio (assuming 1 - cup juice) 1:2; not equal. 5. Drink will taste very watery; ratio (assuming 1 - cup juice) 1:6; not equal.
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19. points b, d, and f are midpoints of the sides of △ace. ec = 32 and …
13
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( note: the small squares in the grid have side lengths of one yard and…
Dolores: 8 Marianne: 12 Distance between them: 14.42
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21. points b, d, and f are mid - points of the sides of △ace. ec = 44 a…
30
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19. points b, d, and f are mid - points of the sides of △ace. ec = 32 a…
$x = 13$
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pizzas are measured by diameter. determine the area of a 6 - inch perso…
28.27 153.94 3267 408
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17. given: $overline{ab}$ is the perpendicular bisector of $overline{ik…
$\overline{IJ}$ and $\overline{JK}$
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16. name an angle bisector for △abc. af bc bd ce
D. \(\overline{CE}\)
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14. points b, d, and f are mid - points of the sides of △ace, ec = 39 a…
36
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13. b is the midpoint of $overline{ac}$, d is the midpoint of $overline…
14.5
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b. what is the scale factor that takes figure 1 to figure 2? c. what is…
b. The scale factor that takes Figure 1 to Figure 2 is \(2\). c. The scale factor that takes Figure 2 to Figure 1 is \(\frac{1}{2}\).
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9. the equation p = 3s represents the perimeter p of an equilateral tri…
Yes, there is a proportional relationship between the perimeter and the side length of an equilateral triangle because the equation $P = 3s$ is in the form $y=kx$ with $k = 3$.
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b is the mid - point of $overline{ac}$, d is the mid - point of $overli…
30
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7. name an altitude for △abc. ○ $overline{ce}$ ○ $overline{ab}$ ○ $over…
\(\overline{AF}\)
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6. if ab = 13, bc = 9, and ca = 17, list the angles of △abc in order fr…
\(\angle A,\angle C,\angle B\)
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which relationships within the diagram are true? check all that apply. …
$\triangle ACF\cong\triangle AEB$ because of AAS
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which relationships within the diagram are true? check all that apply. …
None of the given relationships are true based on the information provided.
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the coordinates of the vertices of △jkl are j(3, 4), k(3, 1), and l(1, …
A rotation of 180° about the origin; translation 1 unit down
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4. if m∠j = 66, m∠l = 64, and m∠k = 50, list the sides of △jlk in order…
\(\overline{JL},\overline{JK},\overline{LK}\)
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1. given: $overline{wz}perpoverline{vy}$, $overline{wz}$ bisects $overl…
28
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32. a child’s round “flop sided” wading pool has a diameter of 10 feet …
$117.75$ cubic feet
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graph the image of the given triangle after the transformation with the…
Plot the points $(1,6)$, $(6,6)$, $(1,9)$ and use the "Polygon" tool to draw the triangle.