幾何
三角形、圓、解析幾何與證明題。
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the ratio of the measures of the sides of a triangle is 9:12:5. if the …
Shortest side = 25 feet Middle side = 45 feet Longest side = 60 feet
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triangle opq is formed by connecting the midpoints of the side of trian…
\( 20 \)
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spiral review 6. this circle has a diameter measurement of 5 centimeter…
C. 15.7 centimeters
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triangle rst is formed by connecting the midpoints of the side of trian…
15
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what is the actual length of the waterfall trail? km (map shows: waterf…
\(3\)
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find the distance between the two points in simplest radical form.
\(15\)
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point p was rotated about the origin (0,0) by -15°. which point is the …
B. \(B\)
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parallelogram abcd is a rectangle cx = 3y - 4 bd = 2y what is the value…
\( y = 2 \)
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given: ∠1 ≅ ∠2 prove: p || q assemble the proof by dragging tiles to th…
To prove \( p \parallel q \) given \( \angle 1 \cong \angle 2 \): 1. **Statement 1**: \( \angle 1 \cong \angle 3 \) **Reason 1**: Vertical Angles Theorem (vertical angles are cong…
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question find the missing angles (figure of a triangle with angles 95°,…
∠1 = 62°, ∠2 = 23°, ∠3 = 157°, ∠4 = 23°, ∠5 = 62° (So filling the boxes: 62, 23, 157, 23, 62)
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point q was rotated by $-150^circ$ (the center of rotation is indicated…
A. A
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this is the only question in this section. question find x triangle ima…
\( x = 6 \)
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determine if the graphs are parallel, perpendicular, or neither. $y = \…
The graphs of the two lines are perpendicular.
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round to the nearest tenth if necessary find fc. answer attempt 4 out o…
\(x = 9\) \(PC = 28\) \(FC = 42\)
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4. match the postulate that proves congruence sss asa sas aas hl a. ___…
a. ASA b. HL c. SAS d. SSS e. AAS
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round to the nearest tenth if necessary find dp. answer attempt 4 out o…
\(x = \boldsymbol{11}\) \(AD = \boldsymbol{36}\) \(AP = \boldsymbol{24}\) (since \(AP = 2\times12\)) \(DP = \boldsymbol{12}\)
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question 2 of 10 which property is illustrated by the following stateme…
D. Transitive
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find the length of the third side. if necessary, round to the nearest t…
19.5
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question find the length of the third side. if necessary, round to the …
\(10.6\)
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find the length of the third side. if necessary, round to the nearest t…
\(6.7\)
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find the length of the third side. if necessary, round to the nearest t…
\(10.6\)
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question 1 of 10 assume $\\triangle abc \\cong \\triangle def$. if $m\\…
A. \(63^\circ\)
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lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is…
converse of same side interior angle theorem
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find the length of the third side. if necessary, write in simplest radi…
\(\sqrt{2}\)
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3 scale up or scale down to determine each unknown quantity. b) (12 inc…
216 inches
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lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is…
m and n
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△abc is the image of △abc under a translation. determine the translatio…
3, right
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solve and graph each inequality 1) x - 13 ≤ 5
The solution to the inequality \(x - 13\leq5\) is \(x\leq18\). The graph has a closed circle at 18 and an arrow pointing to the left.
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question 10 of 10 which best completes the following sentence? triangle…
D. angle measures and side lengths
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question 9 of 10 which of the following are congruence transformations?…
A. Translating, B. Rotating, E. Reflecting
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parallelogram abcd is a rectangle. ac = 6y - 1 bd = 4y + 13 what is the…
\( y = 7 \)
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quadrilateral abcd is the image of quadrilateral abcd under a translati…
2 units to the right and 5 units down (so first box: 2, second dropdown: right, third box: 5, fourth dropdown: down)
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which statement can be used to prove that a given parallelogram is a re…
A. The diagonals of the parallelogram are congruent.
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write the equation of the line graphed below in simplest form.
\( x = 5 \)
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find the distance between the two points in simplest radical form. (8, …
# Explanation: ## Step1: Recall distance formula The distance \( d \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} …
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which diagram represents the hypothesis of the converse of correspondin…
The Right Graph (the diagram with lines \(x\) and \(y\))
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write the equation of the line in fully simplified slope-intercept form.
\( y = -x + 4 \)
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plot the image of point q under the translation ((x, y) \to (x + 1, y +…
The image of point \( Q \) is at the coordinate \( (-3,6) \) (plotted by moving 1 unit right and 2 units up from the original point \( Q(-4,4) \)).
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question 7 of 10 if two triangles are congruent, which of the following…
A. The corresponding angles of the triangles are congruent. C. The triangles have the same shape and size. D. The corresponding sides of the triangles are congruent.
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determine whether the following statement is true or false. when graphi…
C. The statement is false. The test point should be chosen from one of the half - planes.
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write the equation of the line in fully simplified slope-intercept form.
\(y=-x + 2\)
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point p is the image of p(5, -5) under a translation by 2 units to the …
\((3,0)\)
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question 5 of 10 which of these triangles appears not to be congruent t…
A. Triangle A, B. Triangle B, D. Triangle D, F. Triangle F
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use the equation below to find v, if l=2, w=7, and h=4. v=lwh v =
\( 56 \)
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question 4 of 10 which pairs of triangles appear to be congruent? check…
C. Triangles 1 and 2, E. Triangles 2 and 4
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question 3 of 10 true or false? if two triangles can be moved so that t…
A. True
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calculator what is the measure of ∠bcd? enter your answer in the box th…
\(77\)
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question 2 of 10 complete this sentence: after a congruence transformat…
D. the same as
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plot the image of point p under a translation by 5 units to the right a…
The image of point \( P \) is at the coordinates \( (4, -2) \) (plot this point on the grid: x=4, y=-2).
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1. the angle measures of a triangle are shown in the figure below. tria…
\(15 + x + 18 + 4x = 180 - 47\), \(15 + x + 18 + 4x + 47 = 180\)
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which statements prove that a quadrilateral is a parallelogram? select …
- Quadrilateral \(DEFG\) has opposite angles that are congruent - Quadrilateral \(DEFG\) has one set of opposite sides that are both congruent and parallel
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question what is the slope of the line that passes through the points (…
\(\frac{6}{5}\)
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point q is the image of q(0, 6) under the translation (x, y) → (x + 7, …
\((7,1)\)
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he equation of the line in fully simplified slope-intercept form.
$y=\frac{2}{3}x + 5$
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question 10 of 10 which of the following statements must be true about …
A. \(x + y = w\), B. \(w>y\), D. \(w>x\)
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question 10 of 10 which of the following statements must be true about …
A. \(x + y = w\), B. \(w>y\), D. \(w>x\)
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in parallelogram abcd, ae = x² - 8 and ce = 2x. what is ac? 4 8 16 24
16
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karen wants to decorate her dresser by painting it a new color. how man…
52
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station 10: 1. $y < 3x + 1$ $y \\geq -2x - 3$
To graph the system \( \begin{cases}y < 3x + 1\\y\geq - 2x-3\end{cases} \): 1. Draw a dashed line for \( y = 3x + 1 \) (slope \( 3 \), y - intercept \( 1 \)) and shade below it. 2…
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in the diagram, m ∥ n and m and n are cut by transversal p. which angle…
The congruent angle pairs are: - ∠1 and ∠5 - ∠6 and ∠4 - ∠8 and ∠2 - ∠4 and ∠7 So the checked boxes should be for ∠1 and ∠5, ∠6 and ∠4, ∠8 and ∠2, ∠4 and ∠7.
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how do you see it? point c is the center of dilation of the image. the …
- Scale Factor Interpretation: A scale factor of \( \frac{1}{3} \) (reduction) means the image is \( \frac{1}{3} \) the original’s size. - Original Figure: The larger star (since …
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question 9 of 10 which is the best definition of an exterior angle of a…
A. An angle that forms a linear pair with one of the interior angles of the triangle
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the solution set to the following system of inequalities is graphed in …
C. The boundary lines create four regions and the shaded region does not represent the solution to the system
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question 8 of 10 what is the value of p? 140° p° 90° a. 50° b. 40° c. 9…
A. \(50^\circ\)
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2. -x + 2y = 3 4x - 5y = -3
The solution of the system of equations is \(x = 3,y = 3\)
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polygon q is a scaled copy of polygon p. what is the scale factor? opti…
b. 4/3
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a rectangle is shown below. line m intersects two vertices. line n bise…
Reflection across line n, Counterclockwise rotation about Y by 180°
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question 7 of 10 what is the value of n? 133° n° 142° a. 85° b. 38° c. …
A. \(85^\circ\)
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triangle abc is taken to triangle abc by a dilation. which of these sca…
D. 2.5
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travis is 1.55 meters tall. at 10 a.m., he measures the length of a tre…
树的高度约为\(7.54\)米。
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graph the image of rectangle qrst after a reflection over the line y = …
The image of rectangle QRST after reflection over \( y = x \) has vertices at \( Q'(-8, 4) \), \( R'(-8, 9) \), \( S'(-5, 9) \), \( T'(-5, 4) \). (To graph, plot these points and …
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savannah is 1.75 meters tall. at 11 a.m., she measures the length of a …
树的高度约为\(16.83\)米。
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4. pentagon abcde is the image of pentagon abcde after a dilation cente…
The scale factor of the dilation is \(\frac{5}{2}\) (or \(2.5\)).
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a pole 12 feet tall is used to support a guy wire for a tower, which ru…
\boxed{30}（注：实际计算\(\sqrt{928}\approx30.46\)，四舍五入到最近的英尺是\(30\)）
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question 6 of 10 which of the following are exterior angles? check all …
A. ∠2, B. ∠4, E. ∠3
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set 2. using the right triangle with altitude drawn to the hypotenuse, …
For Problem 3: \( x = 13 \), \( y = \frac{60}{13} \approx 4.62 \) For Problem 4: \( a = \frac{5\sqrt{39}}{8} \approx 3.90 \), \( b = \sqrt{39} \approx 6.24 \) (or exact values: \(…
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homework 5.6 date: unit 5 - polynomials, lesson 5.6 graph and label qua…
(For graphing TRAP: Plot \( T(-3, 3) \), \( R(7, 3) \), \( A(3, 6) \), \( P(1, 6) \) and connect the points. For proving FLAG is isosceles trapezoid: Use slope formula to show one…
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a pole 12 feet tall is used to support a guy wire for a tower, which ru…
\boxed{30}？不对，可能我算错了，正确的应该是水平距离是\(26 + 2 = 28\)，垂直距离是\(12\)，所以斜边是\(\sqrt{12^2 + 28^2} = \sqrt{928} \approx 30.46\)，约\(30\)。或者，可能水平距离是\(2\)，垂直距离是\(12\)，而塔到杆的水平距离是\(26\)，所以拉线的长度是\(\…
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5 (-3,0) and (-2,-1) x₁y₁ x₂y₂ y = mx + b (3, 4) and (6, -3)
The equation of the line is \( y = -x - 3 \)
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3. explain why this dilation is incorrect
The dilation is incorrect because in a dilation, the distance from the center of dilation to each corresponding vertex of the original and image figures must be in the same ratio …
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question 4 of 10 what is the value of x? 100° 70° x° a. 70° b. 10° c. 3…
C. \(30^{\circ}\)
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a pole 10 feet tall is used to support a guy wire for a tower, which ru…
\(56\)
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question 4 of 10 what is the value of x? a. 70° b. 10° c. 30° d. 170°
C. \(30^{\circ}\)
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identify the dilation as a reduction or enlargement, then identify the …
The dilation is an enlargement with a scale factor of \(\frac{14}{5}\) (or \(2.8\)).
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what is the area of the figure? 3 in 6 in 2 in 7 in the area of the fig…
34
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consider circle q. which term describes \\(\\overline{ab}\\)? select al…
- Chord - Diameter
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to indirectly measure the distance across a lake, julian makes use of a…
\(67.50\)
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question 3 of 10 which of the following are exterior angles? check all …
B. ∠6, C. ∠3, F. ∠4
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unit 3 lesson 1 cumulative practice problems 1. decide if the scale fac…
If the dilated figure (image) is larger than the original, the scale factor is greater than 1; if smaller, less than 1. (Example: If the image is an enlargement, scale factor \( >…
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locate 8.62 on the number line. use the slider and zoom button until yo…
Place the point at the tick mark for 8.62 on the number line.
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consider the construction of a regular hexagon inscribed in a circle. w…
B. A central angle formed by two consecutive vertices of the hexagon and the center of the circle would measure \( 60^\circ \). D. The side lengths of the hexagon are equal to the…
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question 2 of 10 which of the following are remote interior angles of ∠…
A. $\angle1$, C. $\angle2$
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the lengths of two sides of a triangle are 5 inches and 8 inches. which…
4 inches, 5 inches, 7 inches (the checkboxes corresponding to these lengths should be selected)
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to indirectly measure the distance across a lake, anthony makes use of …
\(162.32\)
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write an equation for the line described. write the equation in the for…
C. \( y = 7 \)
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to indirectly measure the distance across a river, jonathan stands on o…
\(451\)英尺
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for any obtuse triangle, which point of concurrency lies outside the tr…
Orthocenter, Circumcenter (i.e., the options: Orthocenter, Circumcenter)
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question 1 of 10 what is the value of y? (there is a triangle with an e…
D. \(57^\circ\)
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to indirectly measure the distance across a river, carson stands on one…
\(\boxed{167}\)（注：如果计算正确的话，166.5四舍五入是167）
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in the figure below, ( l parallel m ). find ( x ).
\(x = 67^\circ\)? Wait, no, wait, I think I messed up. Wait, no, let's do it again. Wait, the angle next to \(147^\circ\) is \(33^\circ\) (supplementary). Then in the triangle, an…