几何
三角形、圆、解析几何与证明题。
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a figura como una recta, semirrecta o segmento de recta. luego, mostrar…
### First Figure: - Tipo: recta - Cómo se escribe: $\overleftrightarrow{EF}$ ### Second Figure: - Tipo: segmento de recta - Cómo se escribe: $\overline{SA}$ ### Third Figure: - Ti…
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c) a right triangle with vertices a, b, c (right angle at c). side ac =…
\( a=\sqrt{25^{2}-16^{2}}=\sqrt{625 - 256}=\sqrt{369}\approx19.21\space m \) (or if we calculate \( 25^{2}-16^{2}=625 - 256 = 369 \), \( \sqrt{369}\approx19.21 \))
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what is the length of line segment kj? 2√3 units 3√2 units 3√3 units 3√…
\( 3\sqrt{5} \) units (the last option: \( 3\sqrt{5} \) units)
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δqrs is a right triangle. select the correct similarity statement. ○ δs…
\(\boldsymbol{\triangle STR\sim\triangle SQR}\)
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what is the length of \\(overline{bc}\\)? \\(\\bigcirc\\) 9 units \\(\\…
15 units
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b) a 13 mm b b 5 mm c (with right angle at c)
\( b = 12\space mm \)
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cx is an altitude in triangle abc. which statements are true? select tw…
\( \triangle AXC \sim \triangle CXB \), \( \triangle ACB \sim \triangle AXC \) (The two correct options are \( \boldsymbol{\triangle AXC \sim \triangle CXB} \) and \( \boldsymbol{…
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the coordinates of the endpoints of \\( \\overline{tu} \\) are \\( t(-8…
\((-3, 1)\)
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consider the diagram and the paragraph proof below. given: right △abc a…
Because \( f + e = c \), \( a^{2}+b^{2}=c^{2} \)
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line ab has endpoints at -2 and 12, respectively. a) use the number lin…
### Part (a) To plot points \( A \) and \( B \) on the number line: - Point \( A \) is at \( -2 \), so we locate \( -2 \) on the number line (between \( -3 \) and \( -1 \)) and ma…
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the pythagorean theorem 2. find the measure of the unknown side. a) dia…
The length of the unknown side \(c\) is \(10\space cm\).
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what is the length of \\(\\overline{bc}\\), rounded to the nearest tent…
31.2 units (corresponding to the option "31.2 units")
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what is the value of a? ○ 5 units ○ ( 5 \frac{1}{3} ) units ○ ( 6 \frac…
\( 5\frac{1}{3} \) units
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in geometry, two figures are considered ____ if they have the same size…
1. congruent 2. rigid 3. translation 4. rotation 5. reflection 6. line of reflection 7. center of rotation 8. rigid motion (or translation, rotation, reflection) 9. rotation 10. r…
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one leg of an isosceles right triangle measures 5 inches. rounded to th…
7.1 inches (corresponding to the option: 7.1 inches)
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in the diagram, the length of (overline{yz}) is twice the length of (ov…
\( 5\sqrt{3} \) units
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6. at noon, a ship travelling east is 6.0 km due north of a lighthouse.…
The ship is traveling at approximately \(\boldsymbol{4.8}\) km/h (or if we consider a different angle interpretation, but based on the given, the calculation gives around 4.8 km/h…
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segment tq is 26 units long. what is the length of \\(\\overline{qv}\\)…
26 units (Option: 26 units)
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copy the segments. see example 1 15. 16. copy the angles. see example 2…
To solve these geometry construction problems, we follow standard geometric construction techniques (using a compass and straightedge for accuracy). Here's how to approach a few k…
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name the plane that is highlighted in the diagram below.
Plane FJMI (or Plane FIM, Plane JMI, Plane FJM - any valid combination of three or four non - collinear points on the highlighted plane. The most accurate with the given diagram i…
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name the plane that is highlighted in the diagram below.
Plane IEC (or Plane ECG, Plane IEG, Plane ICG. The standard way is to use three non - collinear points on the plane. A correct answer is Plane IEC (or other valid combinations lik…
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notice while it can be acceptable to use 4 letters to name a plane, usi…
\( WTU \) (or other valid 3 - letter combinations like \( WST \), \( WVU \) depending on the plane intended; here \( WTU \) is an example of a plane in the rectangular prism)
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name the plane that is highlighted in the diagram below. diagram of a r…
Plane GHE (or Plane GFE, Plane HFE, Plane GFH, etc. - any three non - collinear points on the highlighted plane. A common correct answer is Plane GHE or Plane GFE or Plane HFE or …
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graph the function. $f(x) = \\begin{cases} x + 1 & \\text{if } x < 1 \\…
The graph consists of two parts: a line segment of \( y = x + 1 \) for \( x < 1 \) (with an open circle at \( (1, 2) \)) and a horizontal line \( y = 3 \) for \( x\geq1 \) (with a…
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notice while it can be acceptable to use 4 letters to name a plane, usi…
One possible name for the plane is \( WTU \) (other valid names like \( WST \), \( WXV \), etc. are also correct as long as they are 3 non - collinear points on a plane of the pri…
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δqrs contains the points: q(4, 2) r(5, 1) s(3,7). if the triangle is re…
S'(-3, 7)
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are the lines in the diagram perpendicular, parallel, skew, or none of …
\( l \) and \( m \): parallel \( l \) and \( n \): perpendicular \( m \) and \( n \): perpendicular
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a baseball diamond measures 28 meters along each side. if a batter hit …
0.112
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planes m and n intersect at line d. line a forms a right angle with lin…
b and e, e and c, a and c
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from \exploring and exploiting a gold country\ by albert williams jr. i…
To determine what the author suggests about the Klondike, we analyze the relevant sentences: The text states that in California (and other favored places), there was "room for the…
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5. use the tangent ratio and the pythagorean theorem to find perimeter …
Perimeter: \( \approx 8.8 \) cm, Area: \( \approx 3.3 \) \( \text{cm}^2 \)
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name the plane that is highlighted in the diagram below. v u s t r q o …
Plane OSVR (or Plane OSRV, Plane OVSR, Plane OVRS, Plane SOVR, Plane SORV - any order of the four points O, S, V, R as long as they define the plane)
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name the marked angle in 2 different ways.
Two ways to name the marked angle (assuming the angle is at \( D \) between \( DQ \) and \( DP \)) are \( \angle QDP \) and \( \angle PDQ \) (or \( \angle D \) and \( \angle QDP \…
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use the diagram to complete the statements. segment ad must be congruen…
First blank: \( CD \) Second blank: \( AB \)
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what is the effect of the underlined sentence? 1. it emphasizes that it…
4. It reveals that some people have incorrect ideas about Alaska.
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parallel lines (slope) (2 attempts only!) this is the only question in …
\( \boldsymbol{m = -\frac{5}{8}} \) (corresponding to the option \( m = -\frac{5}{8} \))
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question 2 of 5 select the correct answer from each drop-down menu. wha…
distance = 4.5, midpoint = -0.75
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parallel lines (slope) (2 attempts only!) this is the only question in …
A. \( m = \frac{3}{4} \)
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perpendicular lines (2 attempts only!) this is the only question in thi…
opposite reciprocals
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parallel lines (2 attempts only!) this is the only question in this sec…
C. identical
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name the marked angle in 2 different ways.
\( \angle MNP \) and \( \angle PNM \) (or \( \angle N \) if acceptable, but three-point is standard). So filling the boxes: first box: \( MNP \), second box: \( PNM \) (or \( N \)…
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law in action - directions: read each law and indicate if the law invol…
Social (Circle "Social") ### Question 2: It is a crime to cheat on your tax return.
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name the marked angle in 2 different ways.
\( \angle RST \), \( \angle S \)
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d. write an explicit expression for the number of circles in figure n.
If the number of circles follows \( a_n = 2n + 1 \) (or another pattern based on figure data), the explicit expression depends on the observed sequence. For a common arithmetic pa…
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bridge cable length a cable - stayed bridge is supported by several cab…
Use \(b=\sqrt{c^{2}-a^{2}}\) (or \(a=\sqrt{c^{2}-b^{2}}\)) where \(a,b\) are legs and \(c\) is hypotenuse. ### Part b
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are $overline{be}$ and $overline{cd}$ congruent? diagram: rectangle wit…
yes
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name the marked angle in 2 different ways. diagram with points x, w, v,…
\( \angle XWV \), \( \angle W \)
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are $overline{ef}$ and $overline{hi}$ congruent? diagram of a pentagon …
yes
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are $overline{gh}$ and $overline{ij}$ congruent? diagram: quadrilateral…
yes
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name the marked angle in 2 different ways.
\( \angle MON \), \( \angle O \)
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what is the length of segment sr? \\boxed{\\_} units (diagram: points r…
12
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name the marked angle in 2 different ways. answer attempt 1 out of 2 ∠ …
$\angle B$, $\angle ABC$ (or $\angle CBA$)
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use the figure to the right to find its area in square units. the area …
28
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name the marked angle in 2 different ways.
$\angle ONM$, $\angle N$
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question 9 1 pts use pascals triangle to expand the binomial ((x + 1)^5…
\( x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1 \) (corresponding to the option \( x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1 \))
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read this excerpt from \the world on turtle’s back.\ the birds of the s…
B. felt compassion for the woman because she was scared.
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1.1 review state the domain and range of the following functions in int…
Domain: \((-\infty, 0)\) Range: \((-\infty, \infty)\)
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a baseball diamond measures 25 meters along each side. if a batter hit …
0.1
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22. if ( mangle abd = 79 ), what are ( mangle abc ) and ( mangle dbc )?…
\( m\angle ABC = 45^\circ \), \( m\angle DBC = 34^\circ \) ### Problem 23
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if m∠abd = 79°, what are m∠abc and m∠dbc?
\( m\angle ABC = 180^\circ \), \( m\angle DBC = 101^\circ \) (assuming \( \angle ABC \) is a straight angle). If there's a right angle, maybe error, but based on given, this is th…
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question 3 1 pts rennie is trying to determine the value of the 5th ter…
\((x + 8)^{15}\)
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the figure shows lines r, n, and p intersecting to form angles numbered…
The right angles are $\boldsymbol{\angle 2}$, $\boldsymbol{\angle 3}$, $\boldsymbol{\angle 4}$, and $\boldsymbol{\angle 5}$ (or depending on the exact diagram, but based on perpen…
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the iroquois creation myth: \the world on turtles back\ quiz complete 1…
C. The woman placed the dirt on Turtle's back and performed a ritual to create the earth.
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what is the perimeter of square defg? perimeter = \\boxed{} units
4
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question name the marked angle in 2 different ways. watch video show ex…
\( \angle FGE \) and \( \angle G \) (or \( \angle EGF \) and \( \angle FGE \))
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what are the area and perimeter of square cdef? area = \\square square …
Area = 64 square units Perimeter = 32 units
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what is the perimeter of δbcd? perimeter = units
12
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what is the perimeter of rectangle fghi? perimeter = \\boxed{} units
26
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what is the perimeter of rectangle f g h i? perimeter = \\boxed{} units
38
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what point is at the following coordinates? (2, -3) g a h b d c
D
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what is the area of rectangle bcde? area = \\boxed{} square units
144
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determine if the function is increasing, decreasing, or constant for th…
- For \(-8 \leq x \leq -4\): Increasing (circle "Increasing") - For \(-4 \leq x \leq -2\): Increasing (circle "Increasing") - For \(1 \leq x \leq 6\): Constant (circle "Constant")…
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find the area of the rectangle. 4 yd 9 yd square yards
36 square yards
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what is the area of δstu? coordinate grid graph with points u, s, t are…
108
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question 6 of 10 read these two passages from the way to rainy mountain…
D. It adds a personal dimension to a general theme.
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find the area of the rectangle. 9 m 7 m square meters
The area of the rectangle is \( 63 \) square meters.
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find the area of the square. image of a square with side length 8 in (l…
64 square inches
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what is the area of δstu? area = square units
108
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miranda wants to enclose her yard with a fence. her yard is in the shap…
\( b=\frac{A - lw}{0.5h} \) (which corresponds to option b)
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i can identify the sequence when a rotation, reflection, and/or transla…
B. B, D. D
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
4/8 (or 1/2, but 4/8 is also correct. However, simplifying, it's 1/2. But let's check the count again. Wait, 4 triangles out of 8 shapes. So 4/8 = 1/2. So the answer is 1/2 or 4/8…
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what fraction of the shapes are squares? use a slash ( / ) to separate …
3/8
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what fraction of the shapes are triangles? image of three purple triang…
3/4
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
3/6 (or 1/2, but since 3 triangles and 6 total, 3/6 is correct as per count, and simplifies to 1/2. But the problem might accept 3/6 or 1/2. Let's see: 3 triangles, 6 total. So 3/…
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
1/2
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ansformed. write translation, r 2)
The transformation is a reflection over the \( x \) - axis (followed by no horizontal/vertical translation, as x - coordinates are unchanged). If considering the vertical flip (re…
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what fraction of the shapes are rectangles? image of 5 purple rectangle…
5/6
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
1/8
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
1/4
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which quadrant will δlow be in when it is reflected across the y-axis a…
Quadrant I
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what fraction of the shapes are circles? use a slash ( / ) to separate …
4/6 (or 2/3, but 4/6 is also correct. However, simplifying, 2/3 is the reduced form. But based on the count, 4 circles and 6 total, so 4/6.)
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which sentence uses an apostrophe correctly in a plural possessive noun…
D. The United States' national anthem is "The Star - Spangled Banner." F. The basketball players' lockers will be cleaned out on Friday.
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what fraction of the shapes are circles? use a slash ( / ) to separate …
1/6
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what fraction of the shapes are triangles? use a slash ( / ) to separat…
7/8
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on the following unit circle, ( \theta ) is in radians and ( \tan(\thet…
For $\tan(\pi - \theta)$: $\boldsymbol{-0.4}$ For $\tan(2\pi - \theta)$: $\boldsymbol{-0.4}$
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making predictions with transformations quick check which transformatio…
C. a rotation
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what fraction of the shapes are triangles? image: top row: 4 blue squar…
$\frac{2}{8}$ (or the option with 2/8, which is the first option: $\frac{2}{8}$)
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what fraction of the shapes are circles? options: $\frac{5}{8}$, $\frac…
\( \frac{3}{6} \) (corresponding to the option "B. \( \frac{3}{6} \)" if options are labeled A, B, C, D with the second box as B)
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making predictions with transformations quick check if you apply the ge…
A. A translation
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convert the angle θ = \\frac{133π}{72} radians to degrees. express your…
\( 332.5^\circ \) (or \( \frac{665}{2}^\circ \))