Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which image is a reflection of the black polygon in quadrant i? options…
the red polygon in quadrant II
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21. which side lengths could form a right triangle? check all that appl…
The side lengths that can form a right triangle are: - \(8, 15, 17\) - \(18, 24, 30\)
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unit 9 scaffold review ① label \\(\\overline{ab} \\cong \\overline{cd}\…
3. $x=5$ 4. $17$ 5. $x=18$ 6. $\overline{AC}$ and $\overline{BD}$ 7. Possible quadrilaterals are a rectangle or a square. This is because the figure has congruent opposite sides (…
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20. given $\\triangle mnp$, identify the hypotenuse. a. $\\overline{mp}…
A. $\overline{MP}$
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6 given: n is the midpoint of ( overline{lq} ), ( angle nlm cong angle …
1. Given 2. $\boldsymbol{\overline{LN} \cong \overline{QN}}$ 3. Vertical Angles Theorem 4. Given 5. Angle-Side-Angle (ASA) Congruence Postulate
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name 8. in the figure, ( ed = 3x + 5 ) cm and ( df = 2(x + 8) ) cm. for…
\( x = 11 \) ### Problem 9
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18. if ( mangle3 = (9x + 14)^circ ) and ( mangle5 = (14x - 1)^circ ), f…
\(139^{\circ}\)
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5 given: $overline{df} parallel overline{hg}$, $f$ is the midpoint of $…
| Statements | Reasons | |------------|---------| | 1. $\overline{DF} \parallel \overline{HG}$ | 1. Given | | 2. $F$ is the midpoint of $\overline{EG}$ | 2. Given | | 3. $\overlin…
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which statement correctly describes the diagram? triangle b is a reflec…
Triangle B is a reflection of triangle A across the x-axis. Triangle C is not a reflection of triangle A.
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your turn: practice draw two different vectors a and b (choose random m…
### (a) Parallelogram Law Illustration: 1. Draw $\boldsymbol{A} = 3\hat{i}$ (tail at origin, tip at (3,0)). 2. Draw $\boldsymbol{B} = 2\cos60^\circ\hat{i} + 2\sin60^\circ\hat{j} =…
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directions: use 3.14 for \\(\\pi\\). round your answer to the nearest h…
The volume of the pool is \( 2.33 \) cubic meters (rounded to the nearest hundredth). ### Problem 2: Volume of the D - sized Battery
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name surface area three in a row directions: choose at least three prob…
1. lateral surface area: $70\text{ cm}^2$; total surface area: $94\text{ cm}^2$ 2. lateral surface area: $450\text{ in}^2$; total surface area: $510\text{ in}^2$
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exit ticket in-class practice 1. find tan d and tan e. write each answe…
$\tan D = \frac{3}{5}$ (or $0.6$) $\tan E = \frac{5}{3}$ (or approximately $1.67$)
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question 10 (5 points) is it possible for the side lengths of 2 cm, 6 c…
### Step 1: 1. Inequality X: \(2<6 + 7\) simplifies to \(2<13\), which is true. 2. Inequality Y: \(6<2 + 7\) simplifies to \(6<9\), which is true. 3. Inequality Z: \(7<2 + 6\) sim…
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the graph below shows the relationship between the volume in ml, v, and…
Cylinder A has a greater rate of change. The slope for Cylinder A is \( 0.015 \) (cm/mL) and for Cylinder B is \( 0.01 \) (cm/mL), so Cylinder A's rate of change (slope) is greate…
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given: $\\triangle jkl$ and $\\triangle lmj$ are right triangles, $\\ov…
1. Given 2. $\overline{JK} \cong \overline{LM}$ 3. Reflexive Property of Congruence 4. $\triangle JKL \cong \triangle LMJ$ 5. Corresponding Parts of Congruent Triangles are Congru…
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crystal fills two cylinders with water and records h, the height of the…
2
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the perimeter of a square is 16 inches. what is the length of each side…
A. 4 inches
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which triangle is both scalene and right? a b c d
C. Triangle C
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what shape can be formed by this net? a square pyramid a rectangular pr…
a triangular pyramid
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which shape has exactly 1 line of symmetry?
The right triangle (top-right shape)
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$x < 2.5$ $-\frac{1}{4}x + \frac{1}{2}y geq 2$
C
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four polygons are shown. which statement about the polygons is true? ea…
B. Each polygon has opposite sides that are parallel.
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click on the name of the figure. line ab ray ab ray bc line segment ab
line segment AB
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1) hes blind as a bat. 2) they are amazing, apple acrobats. 3) the lawn…
To analyze the figurative language in the given sentences, we can use the definitions from the wheel: ### 1. *He’s blind as a bat.* - **Type**: Simile (compares two things with *“…
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find the approximate length of minor arc ab. use 3.14 for pi. round to …
12.72 m
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manuel uses this model to multiply two numbers. which expression does h…
13 × 14
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if measure of arc rs = 20 and tr = 9, find the exact length of arc ps. …
\( 8\pi \) (Option A: \( 8\pi \))
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find coterminal, reference, and quadrant (radians) score: 3/5 penalty: …
The coterminal angle is $\frac{3\pi}{4}$, which lies in Quadrant II, with a reference angle of $\frac{\pi}{4}$.
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use the number lines below to find a fraction that is equivalent to \\(…
$\frac{2}{3}$
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a lawn is in a field in the shape of a triangle, abc. ac = 21 metres, a…
The goat's field has the larger area. It is approximately 410 square metres larger than the sheep's field.
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the area of the circle is 21 cm². what is the area of the red sector? a…
$7$
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question 7 1 pts find the approximate area of the shaded sector. use 3.…
177.51 in²
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find coterminal, reference, and quadrant (radians) score: 2/5 penalty: …
The coterminal angle is $\frac{11\pi}{9}$, which lies in Quadrant 3, with a reference angle of $\frac{2\pi}{9}$.
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$y geq -\frac{1}{2}x$ $y < \frac{1}{2}x + 1$ \\bigcirc \\ (5, -2), (3, …
O (5, -2), (3, 1), (4, 2)
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what is the slope of this line? simplify your answer and write it as a …
$\frac{5}{4}$
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question 1 if the area of the circle below is 10 in², what is the area …
2.5 in² (corresponding to the option with 2.5 in²)
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what is the approximate area of the shaded sector in the circle shown b…
26.5 cm² (the option is D. 26.5 cm², assuming the options are labeled as A. 53.0 cm², B. 11.8 cm², C. 5.9 cm², D. 26.5 cm²)
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what is the exact area of the shaded sector in the circle shown below? …
\( 20\pi \, \text{m}^2 \) (Corresponding to the option: 20π m²)
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what is the slope of this line? simplify your answer and write it as a …
$\boldsymbol{-\frac{7}{4}}$
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what color is represented by each coordinate pair? answer with a comma …
yellow, blue, red, purple
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5. given: \\(\\overline{ab} \\cong \\overline{cb}\\) \\(\\overline{bd}\…
| STATEMENT | REASON | |-----------|--------| | $\overline{AB} \cong \overline{CB}$ | Given | | $\angle ABD \cong \angle CBD$ | Definition of angle bisector | | $\overline{BD} \co…
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carly wants to ship a package in a box shaped like a rectangular prism.…
528
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$\\angle vbc \\cong \\angle dcb$ & $\\overline{vb} \\cong \\overline{dc…
| STATEMENT | REASON | |-----------|--------| | $\angle VBC \cong \angle DCB$ and $\overline{VB} \cong \overline{DC}$ | Given | | $\overline{BC} \cong \overline{BC}$ | Reflexive P…
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8.1-8.3 quiz solve for x in the following. give your answer as a simpli…
\( \boldsymbol{\sqrt{141}} \) ### Problem 2: Two vertical posts, 8 ft and 17 ft tall, 24 ft wire between tops. Find distance between posts.
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what is the slope of the line that passes through the points (4, -2) an…
undefined
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find the perimeter and area of the figure below. p = ___ units a = ___ …
$P = 14+\sqrt{146}+\sqrt{202}\approx40.29$ units $A = 77$ units$^2$
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#18 find the area of the shaded region. all angles are right angles. 6 …
$104\ \text{cm}^2$
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#18 find the area of the shaded region. all angles are right angles. 6 …
$472\ \text{cm}^2$
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in the triangle, there is a height of 12, one side of the small right t…
\boxed{35} (Wait, no, my calculation says ~33.6, but maybe the intended answer is 35. Alternatively, maybe I made a mistake. Let's check 14, 12, and 5: no. 14, 12, and 10: 12²+10²…
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multiple-choice question (4, 1) is the point where they two lines would…
B. Intersect
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graph the line with the equation $y = \\frac{1}{6}x + 4$.
The line passes through points $(0, 4)$ and $(6, 5)$, and extends infinitely in both directions across the coordinate grid.
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ab = \\square round your answer to the nearest hundredth. (there is a r…
7.83
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the coordinates for the origin in the coordinate plane are____ (0,0) (1…
(0, 0)
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name: due fri 1. use the appropriate angle sum or difference formula to…
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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step 1: $m\\angle abe = 110^\\circ$ (given); step 2: $m\\angle ebc = 70…
$\text{m}\angle BFC = 70^\circ$, Reason: Alternate Interior Angles Theorem
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use technology to find points and then graph the function $y = |x - 1| …
Five points are (-2, 2), (-1, 1), (1, -1), (2, 0), (3, 1) (plot these on the graph).
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finding exterior angle measures find the measure of the exterior angle.…
a. $108^\circ$ b. $60^\circ$
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the diagram below shows the floor plan of a flower garden. image of a r…
10
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step angle reason 1 m∠abe = 110° given try m∠□ = □° select a reason
$\boldsymbol{m\angle EBD = 70^\circ}$ (Reason: Linear pair supplementary angles) *Or $\boldsymbol{m\angle BCD = 110^\circ}$ (Reason: Corresponding angles for parallel lines)*
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ac = round your answer to the nearest hundredth. (image of a right tria…
4.28
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step angle reason 1 m∠abe = 110° given 2 m∠ebc = 70° linear pair (or tr…
$\boldsymbol{m\angle BCF = 70^\circ}$, Reason: Corresponding Angles Postulate
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show what you know 4.05 melanie and kala each started solving the equat…
Kala's
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step angle reason 1 m∠abe = 110° given 2 m∠ebc = 70° linear pair (or tr…
$\boldsymbol{m\angle BCF = 70^\circ}$, Reason: Corresponding Angles Postulate
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question 9 (1 point) a triangle has two sides of length 10 and 9. what …
18
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a triangle has two sides of length 13 and 2. what is the largest possib…
14
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where will point c be after a reflection over the line $y = -1$?
The coordinates of the reflected point \( C \) are \( (6, - 3) \)
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question 7 (1 point) can the sides of a triangle have lengths 5.2, 2.6,…
A. yes
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which of these statements is true about the two triangles graphed below…
A. They are congruent, because one can be obtained by reflecting the other across the x - axis.
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drag all of the pairs of angles that represent corresponding angles. dr…
1 and 5 10 and 14
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question 6 (1 point) can the sides of a triangle have lengths 1, 6, and…
b. No
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10 find the value of ( x ) in the figure below. assume that the lines a…
C. 30
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question 5 (1 point) can the sides of a triangle have lengths 2.1, 6.6,…
b. No
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question 4 (1 point) can the sides of a triangle have lengths 1, 10, an…
a. Yes
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can the sides of a triangle have lengths 3, 9, and 10? yes no a yes b no
a. Yes
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question 2 (1 point) could 10.7 cm, 3.2 cm, and 5.5 cm be the side leng…
B. No
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question 1 (1 point) a = 6 b = 14 c = 5 can these side lengths form a t…
b. No
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9. $\\triangle agn \\sim \\triangle fls$; find $x$
\(x = 9\)
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if you draw a triangle with these measurements, which kind of triangle …
B. right scalene triangle
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if the length of a rectangle is given by the expression (2sqrt{153}) an…
C. $28\sqrt{17}$
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here is an example of 2 lines being graphed. what answer choice(s) matc…
D. The lines intersect, E. The system has exactly one solution
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what is the solution to the system? no solution (3, -1) (6, -2) (2, -6)
(3, -1)
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a triangle has two angles with measures of 90 and 20 degrees joined by …
B. The triangle with a 90° angle, a 20° angle, and the side connecting them labeled 12
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find gh. write your answer as an integer or as a decimal rounded to the…
\( 7.9 \)
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in a computer catalog, a computer monitor is listed as being 19 inches.…
The actual width of the screen is approximately 16 inches. ### Second Sub - Question: Skateboarding Ramp Height
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c=85° a c=42 ft b=32° use the law of sines to solve this triangle. roun…
\(A = 63^\circ\) Side \(a \approx 37.565\) ft Side \(b \approx 22.341\) ft
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(not just the \?\ angle.) 14) 16)
Problem 14: $30^\circ$ Problem 16: $32^\circ$
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multiple-choice question what kind of line will we use? dashed because …
A. Dashed because it is not equal to
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a soccer field is a rectangle 90 meters wide and 120 meters long. the c…
The distance is 150 meters.
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$overline{hi} parallel overline{gj}$. find $fh$. (image of a triangle w…
\( 15 \)
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find tu. w, v, u are on a line segment with vu = 23. s is a vertex conn…
\( 22 \)
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$\\angle b = \\square ^\\circ$ round your answer to the nearest hundred…
$73.61^\circ$
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a baseball diamond is a square with sides of 90 feet. what is the short…
127.3 feet
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algebra 2 2b2403 - 6 fy - 1 benchmark test 2 due feb 5 - 1:45 pm late l…
B. $4x^3 - 60x^2 + 216x$
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angle relationships name each angle relationship, find x, and identify …
1. Relationship: Adjacent angles; $x=1$, Missing angle: $26^\circ$ 2. Relationship: Vertical angles; $x=11$, Missing angles: $703^\circ$, $583^\circ$ 3. Relationship: Complementar…
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use the circle to the left for questions 3 and 4 3. find the length of …
(Question 3): \( UV = \frac{UX \times UY}{UW} = \frac{6 \times 3}{10} = 1.8 \) (but handwritten is 5, maybe misread) ### Question 4:
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sample response: because vertical angles are congruent, angles 1 and 4 …
- vertical angles theorem - corresponding angles theorem - transitive property
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module 15 quiz - a write your answers on the lines provided. use the ci…
$150^\circ$ ### Question 2
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planes x and y are perpendicular. points a, e, f, and g are points only…
$\square$ $\overleftrightarrow{EA}$ $\square$ $\overleftrightarrow{FG}$
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a pipe cleaner lay across a wire shelf. the wires that make up the shel…
They are same-side interior angles, so angle 3 measures 50°.