Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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graph the equation below. x = 9 show your work here
To graph \( x = 9 \), draw a vertical line parallel to the \( y \)-axis passing through the point where \( x = 9 \) on the \( x \)-axis (i.e., the line includes all points with \(…
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determine the equation of the circle graphed below.
$\boldsymbol{x^2 + y^2 = 36}$
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line gh contains points g(-2, 6) and h(5, -3). what is the slope of \\o…
\(-\frac{9}{7}\) (corresponding to the option with \(-\frac{9}{7}\))
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question what type of angle is this? angle diagram answer attempt 1 out…
obstue (obtuse)
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what type of angle is this? answer attempts 1 out of 2 acute right obtu…
acute
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1) choose the wrong name for this angle: a) $\\angle cde$ b) $\\angle e…
B) $\angle E$
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name the marked angle in 2 different ways. (there is a triangle with ve…
$\angle R$ $\angle QRS$
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d since there is a 4 in front of the x, separate the rectangles and squ…
$x = -1$
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find $m\\angle abd$ and $m\\angle dbc$. enter deg after any value that …
a) \(m\angle ABD = 94\) deg b) \(m\angle DBC = 86\) deg
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find the missing term. 1 $(4x + 3) (9x^2 + 7x - 3) = 36x^3 + 55x^2 + ? …
\(9x\) ### Problem 2:
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solve the system of inequalities by graphing. $x \\leq 3$ $y < 4x - 9$ …
To solve the system: 1. Graph \( x \leq 3 \) as a **solid vertical line** at \( x = 3 \), shading **left** of the line. 2. Graph \( y < 4x - 9 \) as a **dotted line** (using \( y …
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name: js poillon warm up #4 \\(\\overline{be}\\) altitude of \\(\\trian…
$\triangle ABE \cong \triangle DCE$ (proven by AAS congruence). ### Problem 2: Prove $\overline{BD}$ is the perpendicular bisector of $\overline{AC}$
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$\\angle pqr$ is a right angle. find $m\\angle pqs$ and $m\\angle sqr$.…
a) $m\angle PQS = 60$ deg b) $m\angle SQR = 30$ deg
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name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle X$ $\angle YXW$
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name the marked angle in 2 different ways. (there is a triangle - like …
$\angle ROP$ $\angle O$ *(Note: $\angle POR$ is also an acceptable alternative to $\angle ROP$)*
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these shapes are reflections of each other in the mirror line marked m.…
False
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directions. for each of the following items, circle the letter of the c…
B. heinous... bulwarks ### Question 22
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which of diagrams a and b shows a correct reflection in the mirror line…
B. Diagram B
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use the graph at the right. find the vertices of the image of qrtw for …
\((-1, 2)\)
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exercise 1 sentence completion directions: for each of the following it…
To solve these sentence completion questions, we analyze each one by considering the context and the meaning of the vocabulary options: ### Question 21 - **Context**: The sentence…
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triangle classification theorems which best explains whether a triangle…
The triangle is a right triangle because $5^2 + 12^2 = 13^2$.
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two sides of an obtuse triangle measure 9 inches and 14 inches. the len…
17 inches
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the longest side of an acute isosceles triangle is 8 centimeters. round…
5.7 cm
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which classification best represents a triangle with side lengths 6 cm,…
A. obtuse, because $6^{2}+10^{2}<12^{2}$
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two sides of an acute triangle measure 5 inches and 8 inches. the lengt…
B. 9 inches
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triangle classification theorems which best explains whether a triangle…
The triangle is not acute because $2^2 + 4^2 < 5^2$.
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which set of numbers can represent the side lengths, in inches, of an a…
C. 5, 7, 8
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to get from his house to the lecture hall at school, lin walked west 65…
Lin walked south, creating a right triangle.
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ramon wants to make an acute triangle with three pieces of wood. so far…
less than $\sqrt{58}$ inches but greater than 7 inches
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on the packaging for a triangular sail, the edge measurements for the s…
obtuse
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find the values of the variables. then find the side lengths of the squ…
$x=6$, $y=5$ Side length of the square: $2$
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critiquing work ella’s geometry teacher asked each student to devise a …
Ella's procedure is incorrect, but her conclusion is correct.
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identifying possible side lengths 9 in. 12 in. three, the triangle is o…
A. 5 inches, C. 6 inches, B. 7 inches
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applying the converse of the pythagorean theorem janice examines the gi…
It is over by approximately 0.6 units.
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what will be the value, when substituted for x, that would represent an…
14
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classifying triangles with known side lengths which sets of three of nu…
3, 5, 6 2, 2, 3
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there is a coordinate grid with two lines, line a (blue) passing throug…
The equation of Line \( b \) is \( \boldsymbol{y = 0.8x - 3.2} \) (or \( y = \frac{4}{5}x - \frac{16}{5} \) in fractional form).
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there is a coordinate grid with two lines, line a (blue) and line b (gr…
The slope of Line \( b \) is \( 0.8 \)
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6.2 assignment find the value of x. (there is a geometric figure with a…
42
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12. make sense and persevere the base and height of a triangle are each…
$3x + 14$ ### Problem 12:
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given the following two parallel lines cut by a transversal. which pair…
\( \angle 6 \) and \( \angle 5 \)
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what values of w and x make $\\triangle pqr \\cong \\triangle acb$? (th…
$w = 11$ $x = 8$
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bonus given the two parallel lines cut by a transversal, what is the me…
71° (assuming the related angle is 71°, if the diagram has a 71° angle, the measure of ∠5 is 71° due to parallel lines and transversal angle relationships like corresponding angle…
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what values of u and v make $\\triangle def \\cong \\triangle jhi$? (th…
$u = 4$ $v = 8$
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the vertex is (4, - 9). a pair of symmetrical points are: (-9, 4). the …
s: - Vertex: \(\boldsymbol{(4, -9)}\) (correct as per the vertex definition for the upward - opening parabola) - Symmetrical Points: The given \((-9, 4)\) is incorrect. A correct …
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problem 11: spiral review these two lines are parallel. write an equati…
\(y = \frac{4}{5}x - 3.2\) (or \(y=\frac{4}{5}x-\frac{16}{5}\))
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the vertex is a pair of symmetrical points are: the x - intercepts are:…
(4, -8) ### 2. A pair of symmetrical points are:
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what is the measure of ∠adc in quadrilateral abcd? 45° 65° 115° 135°
65° (Option B. 65°)
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in quadrilateral qrst, $\\angle rst$ measures $(5x + 15)^{circ}$. angle…
105°
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3. civil law 4. criminal law 5. liability part iii – 20-question multip…
C. Maintain order and fairness ### Question 2
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circle challenge! given: g is the center of the circle ad is a diameter…
(For \(m\angle1\)) \(39^\circ\) (corrected from the typo), \(m\angle2 = 51^\circ\), \(m\angle3 = 21^\circ\), etc. (Note: The image contains typos, but the correct method uses the …
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the length of a rectangle is 5 meters less than twice its width. if the…
b. $2w + 2(2w - 5) = 42$
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which composition of transformations maps figure efgh to figure efgh? a…
a reflection across line \( k \) followed by a translation down
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what is the final transformation in the composition of transformations …
D. a \(180^{\circ}\) rotation about point \(B'\)
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for each of the line segments in the graph below, find the slope (as a …
7. Line 1 = Undefined 8. Line 2 = $-1$ 9. Line 3 = $1$ 10. Line 4 = Undefined 11. Line 5 = $\frac{3}{2}$ 12. Line 6 = $-2$ 13. Line 7 = $0$ 14. Line 8 = $-\frac{3}{2}$ 15. Line 9 …
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question find the length of the third side. if necessary, write in simp…
6
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find the length of the third side. if necessary, write in simplest radi…
$4$
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3 p (x + 14)° n (5x + 10)° m r o x = ______ &∠ b/c vocabulary term ∠onr…
$\angle PNM$ & $\angle MNR$ b/c linear pair $x = 26$ $\angle ONR = 40^\circ$ --- ### Problem 4
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for exercises 1–4, find the sum of the interior angles and the measure …
### Problem 1: 12 - gon # Explanation: ## Step 1: Recall the formula for the sum of interior angles of a polygon The formula for the sum of the interior angles of a polygon with \…
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(c) \\begin{cases} line 1: \\ \\ y = -2x - 2 \\\\ line 2: \\ \\ y = 2x …
The solution is the point $(0, -2)$
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(b) \\begin{cases} \\text{line 1: } \\ y = x \\\\ \\text{line 2: } \\ y…
There is no solution (the system is inconsistent).
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for each system, choose the best description of its solution. if the sy…
The system has infinitely many solutions, all points on the line $y=-x-3$ (or $x+y=-3$)
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1. the perspective shift a bird sits on a branch looking down at a cat …
s: 1. The bird is using an angle of depression. 2. The cat is using an angle of elevation. 3. True or False: True. 4. (For the diagram part, assuming the diagram has a horizontal …
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2. cindy tried to find the sum of the exterior angles of the hexagon. w…
Cindy used the formula for the sum of interior angles (\(180^\circ\cdot(6 - 2)\)) instead of the rule that the sum of exterior angles of any polygon is \(360^\circ\). Her error wa…
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find the length of side $x$ to the nearest tenth. (there is a right tri…
$x = 1.7$
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find the length of side $x$ to the nearest tenth. triangle image with 3…
2.3
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6-1 reteach to build understanding the polygon angle-sum theorems 1. co…
s (Filled Blanks): - Left: exterior, \( 360^\circ \), \( 360^\circ \) - Right: interior, \( 2 \), \( 540^\circ \)
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find the slope of the line passing through the points (-7, 8) and (5, -…
$\frac{-5}{4}$
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find the length of side x to the nearest tenth. right triangle with one…
12.1
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find the length of side x to the nearest tenth. (right triangle with an…
$8.0$
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select which slope is suitable for this line? options: 4/3, 2/3, 0
Assuming the first option is \( \boldsymbol{2/3}\), the suitable slope is \( 2/3\). (If the options are: A. \( 2/3\), B. \( 2/1\), C. \( 0 \), then the answer is A. \( 2/3\))
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select which statement describes this type of slope: ○ positive ○ negat…
Positive
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find the length of side $x$ to the nearest tenth. \ (triangle with righ…
2.0
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find the length of side $x$ to the nearest tenth. image of a right isos…
17.0
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17. find the slope of the line containing (-3, 4) and (5, -2). 18. find…
17. $-\frac{3}{4}$ 18. $y=-\frac{3}{4}x - \frac{9}{2}$ (or in standard form: $3x + 4y = -18$)
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the triangle below is isosceles. find the length of side x to the neare…
1.6
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find the length of side x in simplest radical form with a rational deno…
$9\sqrt{3}$
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the triangle below is isosceles. find the length of side x in simplest …
$2\sqrt{5}$
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25) solve for x and y. (diagram of two intersecting lines with angles x…
\( x = 25^\circ \), \( y = 155^\circ \) ### Question 26
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the length of a rectangle is 3 inches more than twice its width. if the…
d. $2w + 2(2w + 3) = 30$
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drag each value to the correct location on the triangles. each value ca…
To solve this problem, we use the properties of similar and congruent triangles (corresponding angles are equal, corresponding sides are proportional). ### Triangle \( ABC \) and …
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across 1 a triangle in which one of the interior angles measures more t…
(Filling the Crossword): - Across 1: OBTUSE - Across 5: HYPOTENUSE - Across 7: EQUILATERAL - Across 9: ANGLE - Across 11: RIGHT - Across 13: ISOSCELES - Down 2: SCALENE - Down 3: …
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point a is located at (5, 10) and point b is located at (20, 25). what …
$\boldsymbol{(9\frac{1}{2}, 14\frac{1}{2})}$
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point a is located at (2, 8) and point b is located at (8, 5). what poi…
B. $(3\frac{1}{2}, 7\frac{1}{4})$
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what point divides the directed line segment \\(\\overline{ab}\\) into …
(9, 2)
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quiz: directed line segments m(-6, 7) is the midpoint of \\(\\overline{…
$(2, 1)$
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spiral review find the area. 9 m 3 m enter the correct number in the bo…
27
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19) find m∠qrs. m∠qrs = ______ 20) which of the follow is not the name …
\( 62^\circ \) ### Problem 20: Which is not the name of the line?
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1. find the shaded area, (image of a rectangle divided into smaller rec…
B. $\frac{2}{5}$ square foot
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determine the period of the following graph.
The period of the graph is \( 2\pi \)
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determine the equation of the midline of the following graph. graph of …
\(y = 1\)
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convert the following angle from degrees to radians. express your answe…
\( \frac{8\pi}{3} \)
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(13) the perimeter of the rectangle is 26cm. find the length. rectangle…
7 ### Question 14:
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the diagram shows a triangle. what is the value of x? x = \\boxed{\\cir…
$x = 57^\circ$
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approximation to the nearest ten - thousandth. 12. \triangle abc with r…
### Problem 12: $\sin A = 0.4706$ $\cos A = 0.8824$ $\tan A = 0.5333$ ### Problem 13: $\sin Z = 0.6000$ $\cos Z = 0.8000$ $\tan Z = 0.7500$ ### Problem 14: $\sin C = 0.2800$ $\cos…
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enter the correct answer in the box. a system of linear equations is sh…
\( y = 3x - 1 \)
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9) solve for x. diagram with two parallel lines and a transversal, 36° …
s: 9. \(x = 36\) (assuming supplementary angles) or \(x = 9\) (assuming equal angles, but likely supplementary is wrong, maybe I misread the diagram. Wait, maybe the angle \(36^\c…
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1. decide whether there is enough information to prove that $m \\parall…
Yes, we can prove \(m\parallel n\). The theorem used is the Alternate Interior Angles Theorem (since the alternate interior angles are congruent, each equal to \(138^\circ\)). ###…
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8) find the area of the rectangle. drawing of a rectangle with length 6…
\( 25.2 \)
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orem: $a^2 + b^2 = c^2$. round to the nearest tenth. 5. right triangle …
5. $26.0$ 6. $37.0$ 7. $25.3$ 8. $17.2$