幾何
三角形、円、座標幾何、証明問題。
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the given figure shows a transformation of the graph of ( f(x) = |x| ).…
\( |x + 3|+2 \)
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triangle inequality theorem state if the three numbers can be the measu…
Yes #### 2) \( 9, 11, 6 \) - \( 9 + 11 > 6 \): \( 20 > 6 \) (True) - \( 9 + 6 > 11 \): \( 15 > 11 \) (True) - \( 11 + 6 > 9 \): \( 17 > 9 \) (True)
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a parallelogram is cut out of a 12-inch by 8-inch sheet of paper. there…
The area of the sheet of paper is 96 square inches. The combined area of the triangle cutouts is 36 square inches. The area of the parallelogram is 60 square inches. The altitude …
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3. the area of the blacktop is $10\\frac{1}{8}$ yds². if the length is …
$2\frac{13}{16}$ yards
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find the volume of the cylinder given the height and radius shown. note…
The volume of the cylinder is approximately \( 7430.90 \) (if we use \( \pi\approx3.14159 \)) or more precisely, using \( \pi \) as a symbol, the volume is \( 2366\pi\approx7430.9…
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one of the altitudes of the parallelogram shown is \\(\\sqrt{225}\\) un…
6 units
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geometry unit 2 study guide name: date: for questions 1 - 5, match each…
1. Corresponding Angles: D. ∠2 & ∠6 2. Alternate Exterior Angles: A. ∠1 & ∠8 3. Alternate Interior Angles: C. ∠12 & ∠14 4. Consecutive Interior Angles: E. ∠11 & ∠14 5. No Relation…
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the measure of an angle is thirty - five times the measure of its compl…
\( 87.5^\circ \) and \( 2.5^\circ \)
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definition of slope; $5 - 3 = 15 - 9$; the area of triangle $a$ is grea…
For the "Statement" column (matching the reason "Triangle \( A \) is similar to triangle \( B \)"), the correct item to drag is \( \boldsymbol{\frac{5}{3} = \frac{15}{9}} \). (If …
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question 8 short answer solve the inequality: 4x - 8 < 0. then, graph t…
The solution to the inequality is $x < 2$. For the number line graph: - Draw a horizontal number line with labeled tick marks, including 2. - Mark an open circle at the position o…
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the given figure shows a transformation of the graph of f(x)=|x|. write…
\(y = |x + 3|-3\)
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an angle measures 49.8° more than the measure of its complementary angl…
$20.1^\circ$ and $69.9^\circ$
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find the volume of the parallelogram - based prism given the measures s…
The volume of the parallelogram - based prism is \( 1716 \).
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what is the value of n? (with an image of intersecting lines and angles…
\(79.7\)
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a rectangular table is positioned in a 10 - foot by 10 - foot room as s…
Longer edge: $\boldsymbol{40}$ (inside the square root blank) Area: $\boldsymbol{20}$ square feet
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find the volume of the parallelogram - based prism given the measures s…
800
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each unit on the coordinate grid represents 1 yard. the rectangular poo…
29 square yards
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drag statements and reasons to each row to show why the slope of the li…
To show the slopes are equal: 1. For segment \(RS\): By "Definition of slope", the slope is \(\frac{5}{3}=\text{slope}\) (since rise = 5, run = 3). 2. For segments \(RS\) and \(ST…
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what is the relationship between ∠1 and ∠2? match each figure with the …
- The top - right figure (with two parallel horizontal lines and a slanting transversal) matches with "alternate interior angles". - The bottom - right figure (with two parallel h…
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solve the right triangle shown in the figure. a = 50.4°, c = 55 a. what…
$42.40$
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find the volume of the trapezoidal prism given the measures shown. note…
1485
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27. an airplane over the pacific sights an atoll at an angle of depress…
The height of the tree is approximately \(\boldsymbol{388}\) meters (or more precise value depending on calculator precision, e.g., if using more precise \(\tan(47^\circ)\) value)…
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find the volume of the trapezoidal prism given the measures shown. note…
240
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the table below gives the dimensions of a statue and a scale drawing of…
$\frac{1}{4}$
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find the volume of the trapezoidal prism given the measures shown. note…
1782
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use the interactive protractor to answer the questions below. the measu…
acute
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ls lashalla shannon today at 7:52 pm -2x -3 ≥ 9 -2x -3 + 3 ≥ 9 + 3 -2x …
The correct solved inequality is $\boldsymbol{x \leq -3}$. To graph this: use a closed circle at -3, and shade to the left.
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find the volume of the trapezoidal prism given the measures shown. note…
833
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measuring angles use the interactive protractor to answer the questions…
The measure of ∠PQR is 75 degrees, and it is an acute angle. So for the first dropdown: 75, second dropdown: acute.
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the table below gives the dimensions of a sculpture and a scale model o…
$\frac{1}{6}$
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what is the value of n? (with an image of angles: n, 101.7°, and 47° ar…
\(31.3\)
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igure below in two different ways. symbol: and .
\( \overrightarrow{IX} \) and \( \overrightarrow{IX} \) (Wait, no, that's the same. Wait, maybe the other way is \( \overrightarrow{XI} \), but that's a different ray. No, the arr…
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your peak of choice your friend tyler is preparing to climb a rock face…
Tyler will climb peak C.
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the red and the blue triangles drawn on the line are similar. what equa…
\(\boldsymbol{\frac{\text{rise } 1}{\text{run } 1} = \frac{\text{rise } 2}{\text{run } 2}}\) (the option with this equation)
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applying the segment addition postulate point d is on segment bc. segme…
144
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9. if ( l parallel m ), find the value ((7x - 15)^circ) ((24x + 9)^circ)
\( x = 6 \)
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which figure best demonstrates the setup for the box method of finding …
Second figure (the one with the axis-aligned dashed rectangle enclosing the triangle)
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applying the segment addition postulate point b lies between points a a…
The length of \( \overline{BC} \) in inches is \( 15 \).
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applying the segment addition postulate point b lies between points a a…
The value of \( x \) is 5. The length of \( \overline{AB} \) is 5 inches. The length of \( \overline{BC} \) is 15 inches (but if we follow the given dropdown options, there might …
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practice determining the measures of line segments and angles. what is …
point N
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which statement is true of the right triangles abc and def? area of abc…
Area of ABC is greater than area of DEF.
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is parallelogram ghij a rhombus? yes \t\tno
yes
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9. describe some of the other figures you discovered while trying to cr…
Some other figures discovered while creating a 12 - pointed star include a regular hexagon (formed by connecting every other vertex of the 12 - vertex base figure), equilateral tr…
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quadrilateral rstu is a rhombus. what is ( mangle ruv )? ( mangle ruv =…
\( 25 \)
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creating the new logo ridanco has decided to use a 12 - pointed star th…
The spider had to rotate 30 degrees at each step to create a 12 - pointed star.
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name brandon wrote the paragraphs below using text evidence from two so…
s: 1. The transition phrase to circle is "At the beginning of Rosa" (or if we consider the start of the detailed analysis after the summary, this is the link). 2. The text evidenc…
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date: per: classify each statement as true or false. if false, write th…
1. FALSE; Correct statement: In a 45-45-90 triangle, if a leg has length $x$, the hypotenuse is $x\sqrt{2}$. 2. TRUE 3. TRUE 4. TRUE 5. $x=10$, $y=10\sqrt{2}$ 6. $x=\frac{7\sqrt{2…
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in the figure below, ( mangle 2 = 127^circ ). find ( mangle 1 ), ( mang…
$m\angle 1 = 127^\circ$, $m\angle 3 = 53^\circ$, $m\angle 4 = 127^\circ$
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in the figure below, m ∠ 4 = 84°. find m ∠ 1, m ∠ 2, and m ∠ 3.
$m\angle1 = 96^\circ$ $m\angle2 = 84^\circ$ $m\angle3 = 96^\circ$
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find the smallest angle of $\\triangle tuv$. assume that $b$ is a posit…
$\angle U$
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Question was provided via image upload.
| Statement | Reason | |-----------|--------| | $ABCD$ is a parallelogram | Given | | $\angle CBD \cong \angle ADB$ | Alternate interior angles | | $\overline{AB} \cong \overline{…
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the figure on the right is a scaled copy of the figure on the left. ans…
The side corresponding to segment \(IG\) (assuming the correct mapping) is \(PO\) (or the correct corresponding side based on the figure's vertex mapping, likely \(PO\) or \(TO\),…
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solve the right triangle. write your answers as integers or as decimals…
$JK = 7.8$ $IK = 5.3$ $m\angle J = 34^\circ$
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lines de and ab intersect at point c. what is the value of x? 12 25 38 …
25
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triangle abc is a right triangle. what is the relationship between angl…
They are complementary.
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the figure shows three lines that intersect at point n. angle gnh is co…
42° (corresponding to the option with 42°)
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write the equation of the line in fully simplified slope-intercept form.
$y = -\frac{1}{4}x + 3$
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if these two shapes are similar, what is the measure of the missing len…
3 yd
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the figure below is dilated by a factor of 4 centered at the origin. pl…
The dilated image has vertices at $(0, -12)$, $(8, 8)$, and $(-8, 4)$. Connect these three points to form the dilated triangle.
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read the passage from sugar changed the world. if you walked down beekm…
A. Simple enough, but this trade up and down the Atlantic coast was part of a much larger world system.
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this question has two parts. first, answer part a. then, answer part b.…
## Part A: $8 - \frac{x}{3} \geq 11$ ## Part B: C) $x \leq -9$ (with the number line showing a closed dot at -9 and an arrow pointing left towards negative infinity)
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find the length of the third side. if necessary, round to the nearest t…
\(16.3\)
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prove that $\\triangle abc$ is a right triangle. select the correct ans…
1. Pythagorean theorem; substitution property of equality; transitive property of equality; $DF = AC$; SSS triangle congruence theorem 2. triangle Q; $9^2 + 40^2 = 81 + 1600 = 168…
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel Graph 2: Perpendicular Graph 3: Neither Graph 4: Parallel
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which diagram represents the equation $2r = 16$? solve for $r$. $r = \\…
The first diagram (the one with two purple rectangles labeled \(r\) and the total length 16) represents the equation \(2r = 16\). ### Part 2: Solving for \(r\)
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find the volume of the rectangular prism.
$216\ \text{m}^3$
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this image has rotational symmetry. what is the smallest number of degr…
$72^\circ$
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write the coordinates of the vertices after a reflection over the line …
\( J'(-6, 8) \) \( K'(-3, 8) \) \( L'(-3, 6) \) \( M'(-10, 6) \) Wait, but maybe the original K is at (-3, 0)? Wait, maybe the x-coordinate of K is -3? Let me confirm once more. T…
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graph the solution to the inequality on the number line. |x| > 2
On the provided number line: 1. Mark an open circle at $-1$ and draw a line/arrow extending to the left from this point. 2. Mark an open circle at $1$ and draw a line/arrow extend…
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what is the length of the missing leg? if necessary, round to the neare…
$b = 15$ feet
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the triangles are congruent by the sss congruence theorem. which rigid …
B. reflection, then translation
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question find the equation of a line parallel to $-5x + y = 5$ that pas…
$y - 6 = 5(x - 8)$
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to estimate the height of a tree, tia and felix walk away from the tree…
### Part b: # Explanation: ## Step1: Identify the problem type This is a right - triangle problem where we can use the geometric mean (or altitude - on - hypotenuse) theorem. The …
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write the coordinates of the vertices after a dilation with a scale fac…
$P'(-8, -4)$ $Q'(-8, 8)$ $R'(8, 8)$ $S'(8, -4)$
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△rst and △vut are shown below. which statement is true? △rst is similar…
$\Delta RST$ is not similar to $\Delta VUT$.
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21) rotation 90° counterclockwise about the origin
The coordinates of the rotated figure are: $U'(0,0)$, $W'(1,3)$, $V'(4,3)$
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△bcd and △fed are shown below. which statement is true? △bcd is similar…
△BCD is similar to △FED.
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△mkl and △ijk are shown below. which statement is true? △mkl is similar…
There is not enough information to determine whether the triangles are similar.
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△mno and △pqo are shown below. which statement is true? △mno is similar…
$\triangle MNO$ is similar to $\triangle PQO$.
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23) rotation 180° about the origin
The coordinates of the rotated triangle are $V'(4,-2)$, $X'(3,-2)$, $W'(4,-4)$
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△rst and △uvt are shown below. which statement is true? △rst is similar…
△RST is not similar to △UVT.
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how much longer is the envelope than the stamp? 0 1 2 3 4 5 6 7 8 9 10 …
12 centimeters
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△qrs and △ust are shown below. which statement is true? △qrs is similar…
$\triangle QRS$ is not similar to $\triangle UST$.
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what is the relationship between ∠m and ∠n? choose 1 answer: a vertical…
B. Complementary angles
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how much longer is the boat than the tricycle? 0 1 2 3 4 5 6 7 8 feet 5…
B. 4 feet
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△lmn and △pqr are shown below. which statement is true? △lmn is similar…
$\Delta LMN$ is not similar to $\Delta PQR$.
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△fgh and △ijk are shown below. which statement is true? △fgh is similar…
△FGH is similar to △IJK.
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18) rotation 180° about the origin
The coordinates of the rotated triangle are $E'(0, 2)$, $F'(-3, 0)$, $G'(-5, 5)$. When plotted, these form the 180° rotation of $\triangle EFG$ about the origin.
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are these triangles similar? f e g triangle with angle at f 56°, angle …
yes
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zoe is packaging a gift to send in the mail. a smaller gift box is plac…
198.264 cubic centimeters
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part 1 of 2 allie is playing basketball. she takes a shot 25 ft away fr…
a. \( -\frac{1}{10} \) b. 2 feet
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find missing angles quick check in a geometric diagram, ∠a and ∠b are c…
$\boldsymbol{60^\circ}$ (Option: $\boldsymbol{\bigcirc 60^\circ}$)
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15) reflection across x = 1
The coordinates of the reflected triangle are $V'(2,2)$, $W'(1,4)$, $X'(-3,2)$
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find missing angles quick check (1 point) there are two supplementary a…
C. $132^\circ$
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find missing angles quick check there are angles whose measures add to …
82°
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find missing angles quick check two angles ∠1 and ∠2 in a diagram are s…
$\boldsymbol{x^\circ + 77^\circ = 180^\circ}$ (corresponding to the option: $x^\circ + 77^\circ = 180^\circ$)
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find missing angles quick check there are two complementary angles, ∠5 …
$\boldsymbol{m\angle 6 + 39^\circ = 90^\circ}$
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how was althualpa executed by the spanish? burned at the stake thrown o…
C. strangled
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14) rotation 180° about the origin
The coordinates of the rotated triangle are $H'(-2, -3)$, $J'(-2, 0)$, and $I'(-5, -4)$. When plotted, these points form the 180° rotation of $\triangle HIJ$ about the origin.
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we know that angle 1 is congruent to angle 3 and that line a is paralle…
B. \( \angle 1 \cong \angle 2 \)