Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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use a geometric model to factor ( x^2 + 3x + 2 ) by following these ste…
The factored form of \(x^2 + 3x + 2\) is \((x + 1)(x + 2)\), so in the geometric model, Factor 1 can be \(x + 2\) and Factor 2 can be \(x + 1\) (or the other way around depending …
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segment addition / subtraction (numbers) score: 4/5 penalty: 1 off ques…
15
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pregunta nombra la figura a continuación de dos maneras diferentes. sím…
$\overrightarrow{JA}$ y $\overrightarrow{JX}$ (o también se puede nombrar considerando que el rayo tiene extremo en J y se extiende hacia A, así que otra forma es identificando qu…
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question point k is on line segment (overline{jl}). given (jl = 19) and…
\( 7 \)
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find the area of the rectangle. simplify your answer. image of rectangl…
\( 15s^2t^2 + 5s^2t - 27st^2 - 9st \)
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problem 9 tayen says that figure k is a scaled copy of figure g. is tay…
Yes, because the ratio of corresponding side lengths (e.g., 2 cm in K to 4 cm in G) is constant (\( \frac{1}{2} \)), meaning all sides of K are scaled by the same factor from G, s…
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question point d is on line segment (overline{ce}). given (ce = 11) and…
\( 2 \)
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question look at the diagram and evaluate. which of the statements belo…
\( \boldsymbol{MO > MN} \) (the option "MO > MN")
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homework 7: scientific notation and comparing/ordering numbers ** this …
s: 10. \( \boldsymbol{2.7 \times 10^7} \) 20. \( \boldsymbol{102400000} \) 21. \( \boldsymbol{3.05 \times 10^6 > 8.25 \times 10^4} \)
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question look at the diagram and evaluate. which of the statements belo…
W is the midpoint of \(\overline{VX}\)
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score on last try: 0 of 1 pts. see details for more. hint question get …
# Explanation: ## Step1: Analyze the parent function The parent function of absolute value is \( y = |x| \), which has a V - shape with vertex at \((0,0)\), opening upwards, and p…
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question look at the diagram and evaluate. which of the statements belo…
\( \boldsymbol{OP < NO} \) (the false statement)
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find the area of the triangle. simplify your answer.
\( x^{2}-7x \)
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problem 5 using the digits 0 to 9 without repetition, fill in the blank…
# Explanation: ## Step1: Analyze the green rectangle's dimensions The green rectangle has a height of 2 (from the two small squares on the left) and a width that we need to determ…
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look at the diagram and evaluate. which of the statements below is fals…
\( \boldsymbol{RS > QR} \) (the first option)
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problem 4 select two triangles whose lengths can be represented by the …
Two triangles are Triangle T (sides 3, 4, 5) and Triangle E (sides 6, 8, 10) (or Triangle B and Triangle E, or Triangle T and Triangle B, but the most probable with the given rati…
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what is the location of point f, which partitions the directed line seg…
0
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5. the length of a rectangle is one more than four times its width. if …
The width of the rectangle is 6 meters and the length is 25 meters.
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use a geometric model to factor ( x^2 + 3x + 2 ) by following these ste…
The factored form of \(x^{2}+3x + 2\) is \((x + 1)(x + 2)\)
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directions: write each number in scientific notation. 1. 64,000 2. 0.00…
\( 6.4 \times 10^{4} \) ### Problem 2: 0.0000049 in scientific notation
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3. circle the line that represents ( 12 = 3x + 4y ). line a, line b, li…
To determine which line represents \( 12 = 3x + 4y \), we can find the \( x \)-intercept and \( y \)-intercept: - For the \( x \)-intercept, set \( y = 0 \): \( 12 = 3x + 4(0) \im…
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3. circle the line that represents 12 = 3x + 4y. line a line b line c s…
To solve \( 15x + 3y = 2 \) for \( y \): 1. Subtract \( 15x \) from both sides: \( 3y = -15x + 2 \) 2. Divide every term by \( 3 \): \( y = -5x + \frac{2}{3} \) (For the graphing …
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select the correct answer from each drop-down menu. andy is designing a…
First, let's define the variables: - Width: \( x \) (in cm) - Length: \( x + 5 \) (since it's 5 cm longer than the width) - Height: \( 3 \) cm (given) - Volume: \( V = 252 \) cubi…
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horizontal & vertical lines what is the equation of the line?
\( x = 3 \)
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what are two different ways you could find the value of a? explain thes…
Two methods to find \(a\) are: 1. **Geometric Mean (Leg) Theorem**: The hypotenuse of the large right triangle is \(9 + 16=25\). By the Geometric Mean (Leg) Theorem, \(a=\sqrt{16\…
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3.) determine the distance below:
\(5\sqrt{2}\) (or approximately \(7.07\))
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in a proof of the pythagorean theorem using similarity, what allows you…
the right triangle altitude theorem
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what is the equation of the horizontal line through (-7, -3)?
\( y = - 3 \)
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23. m∠prs = ______
$123^{\circ}$
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bonus question!!! on the graph below, draw a scaled copy of polygon q u…
You need to perform the above steps on the provided grid to draw the scaled copy of Polygon Q. Since this is a drawing task, a visual answer cannot be directly provided in this te…
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example 2 name the geometric terms modeled by each object or phrase. 8.…
Plane ### Problem 9: a tabletop
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what is the vertical change from point a to point b? what is the horizo…
To solve the problem, we analyze the graph and use the concepts of vertical change, horizontal change, and rate of change (slope). ### 1. Vertical Change from Point A to Point B T…
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the rule t_{-1,0} o r_{180}(x,y) is applied to △fgh to produce △fgh. wh…
(4, - 1.5)
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the rule t5, - 0.5 o r0, 180°(x, y) is applied to △fgh to produce △fgh.…
(-0.5, 4)
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rotations of shapes graph the image of the figure using the transformat…
# Explanation: ## Paso 1: Reglas de rotación - Rotación de 180° alrededor del origen: $(x,y)\to(-x, -y)$. - Rotación de 90° en sentido anti - reloj alrededor del origen: $(x,y)\to…
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quiz: immigrant life true/false decide if each statement is true or fal…
# Breve explicación: 1. Las viviendas de tipo tenement eran pequeñas y con mucho ajetreo, por lo que es verdadero. 2. En los barrios étnicos, los inmigrantes se reunían con person…
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which part of the rhetorical triangle appeals to ethics through the bui…
C. ethos
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the rule r -axis o r0,90°(x,y) is applied to △abc. which triangle shows…
1
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which part of the rhetorical triangle appeals to reason through the use…
A. logos
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the rule t y - axis o r 90°(x, y) is applied to △abc. which triangle sh…
1.
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what is the measure of ∠dcf? the measure of ∠dcf is degrees.
129
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given that m∠klh = 120° and m∠klm = 180°, which statement about the fig…
C. $m\angle KLG=m\angle HLJ$
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parallelogram fghj is the final image after the rule r - y - axis o t1,…
$(-4,2)$
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ray uw is the angle bisector of ∠vut. if m∠vuw=(4x + 6)° and m∠wut=(6x …
D. 76°
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what kind of triangle is △bcd? explain. a. right triangle; m∠2 = 90 b. …
B. Acute triangle; \(m\angle CDB = 180 - 130 = 50\) and \(m\angle 2 = 180 - 70 - 50 = 60\)
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what is the midpoint of $overline{ab}$? point f point g point h point i
C. point H
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parallelogram fghj is the final image after the rule r_y - axis o t_1,2…
$(-2,2)$
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what is m∠1? a. 130 b. 70 c. 60 d. 120
D. 120
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if ∠pqr measures 75°, what is the measure of ∠sqr? 22° 45° 53° 97°
C. $53^{\circ}$
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click and drag to plot a perpendicular line. the line will change color…
Original Slope: undefined Perpendicular Slope: \(0\)
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line m is constructed as the first step to prove the triangle angle - s…
A. \(m\parallel n\)
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parallelogram pghj is the final image after the rule r - axis o t1,2(x,…
\((1,4)\) (Note: Since the transformation rule is not fully visible, this is a general way of solving. If we assume the correct option among the given ones based on a standard tra…
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select all the true statements. a (2x + 1)° (x + 15)° c x° b □ a. (4x +…
A. \((4x + 16)=180\) D. From smallest to largest: \(\angle B,\angle C,\angle A\) E. \(m\angle C = 56\)
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the measure of ∠rst can be represented by the expression (6x - 12)°. wh…
84°
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select all true statements if n || m. a. m∠2 = 60 b. m∠3 = 100 c. m∠2 +…
B. \(m\angle3 = 100\), C. \(m\angle2 + m\angle4 = 80\), E. \(m\angle2 = 20\)
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27. angles a and b are complementary. m∠a = x + 5 and m∠b = x - 13. sol…
$x = 49$
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which number line shows the solutions to $\frac{1}{2}x - 2 > 0$?
The number - line with an open circle at 4 and an arrow pointing to the right. (The first number - line shown in the image where the open circle is at 4 and the red arrow goes to …
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what is the measure of ∠jhg? the measure of ∠jhg is degrees.
60
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6. what is the slope and y - intercept of the following lines? i) ii) s…
i) Slope $=\frac{4}{5}$, y - int (as ordered pair)$=(0,4)$ ii) Slope $=-\frac{1}{5}$, y - int (as ordered pair)$=(0,3)$
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what are the coordinates of the point on the directed line segment from…
\((-3,-6)\)
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use the figure shown. if m∠3 + m∠4 = 100, which lines can you conclude …
C. Lines $\ell$ and $m$ are parallel because same - side interior angles are supplementary (assuming the sum of the angles was meant to be 180° instead of 100° as given in the pro…
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point m lies between points l and n on ln. if ln = 12x + 16, what is th…
64 units
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review the paragraph at the top of page 3. which would be the best grap…
# Breve explicación: Un gráfico circular es ideal para representar proporciones o porcentajes de un todo. En este caso, se busca representar la proporción de personas encuestadas …
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if ∠1≅∠2, can you conclude that any of the lines are parallel? explain.…
C. Yes; lines $\ell$ and $m$ are parallel because corresponding angles are congruent.
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triangle klm and triangle klm are shown on the coordinate plane. write …
\((x,y)\to(x - 2,y - 8)\)
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what are the coordinates of the point on the directed line segment from…
\((\frac{5}{2},-4)\)
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which statement must be true to prove j || k? a. ∠2 ≅ ∠3 b. ∠1 ≅ ∠4 c. …
D. $\angle6\cong\angle4$
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if m∠1 = m∠2, which of the following statements is true? o a k||j o b n…
B. $n\parallel m$
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what are the coordinates of the point on the directed line segment from…
\((4,8)\)
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drag each statement below to the original conditional, converse, bicond…
Original Conditional: If the angles are supplementary, then their sum is 180°. Converse: If the angles sum to 180°, then they are supplementary. Inverse: If the angles are not sup…
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what are the coordinates of the point on the directed line segment from…
\((-6,4)\)
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select all the true statements. a. p || q because ∠2 ≅ ∠3. b. p || q be…
A. $p\parallel q$ because $\angle2\cong\angle3$ C. $r\parallel s$ because $\angle2\cong\angle4$ E. $r\parallel s$ because $\angle5\cong\angle7$
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triangle klm and triangle klm are shown on the coordinate plane. write …
\(R_{0, T_{(- 2,-9)}}(x,y)=(x - 2,y - 9)\)
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what are the coordinates of the point on the directed line segment from…
\((-4,4)\)
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given: ∠teg≅∠had prove: m∠fet + m∠had = 180° complete the proof below. …
1. Definition of supplementary (linear pair) 2. Given 3. $m\angle TEG = m\angle HAD$; Substitution Property of Equality 4. Substitution (from step 1 and 3)
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triangle klm and triangle klm are shown on the coordinate plane. write …
$180$, $(-1,-2)$
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question 3 of 10 which statement listed below illustrates the reflexive…
C. $\triangle KLM\cong\triangle KLM$
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11. if g is the mid - point of $overline{eh}$, find fg. 11x - 7 3x + 9 …
15
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5 fill in the blank 1 point given: $overline{hm}congoverline{de}$ prove…
1. Segment Addition Postulate 2. Given 3. $GH + DE=GM$; Substitution Property of Equality 4. N/A (not required as the proof is complete with the above - steps)
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select the correct answer. which equation represents the vertical line …
B. $x = 1$
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question 2 of 10 if △abc≅△def, △def≅△mno and △mno≅△pqr, then △abc≅△pqr …
A. True
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question 1 of 10 which property is illustrated by the following stateme…
C. Symmetric
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question 10 of 10 which pairs of triangles appear to be congruent? chec…
A. Triangles 3 and 4
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what are the intercepts of the graphed function? x - intercept = (0, - …
\(x -\)intercept \(=(-1,0)\), \(y -\)intercept \(=(0,-3)\)
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*click twice to draw a line. click a segment to erase it.* answer attem…
Leg 1: 7 Leg 2: 11 Hypotenuse: $\sqrt{170}$
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which rule describes the composition of transformations that maps △bcd …
\(r_{y - axis}\circ T_{-6,-5}(x,y)\)
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which best completes the following sentence? triangles are congruent if…
A. size and shape
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select the correct answer. which two points have an undefined slope? a.…
C. $(-3,-3)$ and $(-3,3)$
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question 8 of 10 if two triangles are congruent, which of the following…
A. The corresponding angles of the triangles are congruent. B. The triangles have the same size and shape. C. The corresponding sides of the triangles are congruent.
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cedric applied the rule r_m o r_p,90°(x,y) to figure wxyz. what mistake…
He applied the reflection to the pre - image first. He used an incorrect angle of rotation around point P.
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*click twice to draw a line. click a segment to erase it.* answer attem…
Leg 1: 2 Leg 2: 3 Hypotenuse: \(\sqrt{13}\)
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question 7 of 10 complete the following statement of congruence: △zyx≅_…
B. \(\triangle CBA\)
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the rule $r_{y = z}circ t_{4,0}(x,y)$ is applied to trapezoid abcd to p…
$(-1,0),(1,1)$
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*click twice to draw a line. click a segment to erase it.* answer attem…
Leg 1: 12 Leg 2: 9 Hypotenuse: 15
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which of the following are congruence transformations? check all that a…
A. Rotating, B. Translating, E. Reflecting
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(-2, -4) and (5, 8) *click twice to draw a line. click a segment to era…
Leg 1: 12 Leg 2: 5 Hypotenuse: 13
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question 5 of 10 true or false? if two triangles can be moved so that t…
A. True
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question 4 of 10 complete the following statement of congruence: △nmo≅_…
B. $\triangle SRT$
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question 3 of 10 complete this sentence: after a congruence transformat…
A. the same as
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(-7,8) and (2,1) *click twice to draw a line. click a segment to erase …
Leg 1: 9 Leg 2: 7 Hypotenuse: $\sqrt{130}$