幾何
三角形、円、座標幾何、証明問題。
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practice c. write an equation for a line parallel to the given equation…
1. For \(3x + y=-5\) and \((-3,7)\): \(y = - 3x-2\) 2. For \(y=-x + 4\) and \((-2,5)\): \(y=-x + 3\) 3. For \(x + 5y = 25\) and \((5,-3)\): \(y=-\frac{1}{5}x-2\) 4. For \(y + 2=\f…
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select the correct answer. the sum of two complementary angles is 90°. …
B. \( \boldsymbol{a + b = 90}\) \( \boldsymbol{2b - 15 = a}\)
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25. which of the following is the graph of $y = 1 + \\frac{1}{4}(x - 1)…
D. 4 ### Question 28
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question 36. upon being seated in a restaurant, which is the first thin…
D. Unfold it and place it across your lap.
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33 what is the pythagorean theorem? a a + b + c b a² + b² = c² c a² - b…
B. \(a^{2}+b^{2}=c^{2}\)
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the pythagorean theorem can only be used on triangles.
right (or right - angled)
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the 2 triangles shown below are similar. the measures of ∠b and ∠y are …
12
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18. which of the following is the graph of $y - 1 = \\frac{1}{4}(x - 1)…
C. 3
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31 what additional information would be needed to prove th a $overline{…
B. \( \overline{KT} \cong \overline{AC} \)
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question 5 2 pts these trade routes were called the triangular trade be…
True
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score on last try: 0 of 1 pts. see details for more. you can retry this…
\(\frac{44}{\cos(66^\circ)}\) (or approximately \(108.2\))
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question 1, calculate the length of the marsh represented by side ab. a…
# Explanation: ## Step1: Identify Similar Triangles Triangles \( \triangle DEC \) and \( \triangle DAB \) are similar (by AA similarity, as \( \angle C = \angle A = 90^\circ \) an…
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7. a b 8. identify the minimum or maximum value and the domain and rang…
b. minimum value: -4; domain: all real numbers; range: all real numbers ≥ -4
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30 what additional information would be needed to prove the (image of t…
B. \( \overline{KT} \cong \overline{AC} \)
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29 which triangle congruence theorem can be used to prove the triangles…
D. AAS
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what is the slope of the line that passes through the points (4,1) and …
5
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what is the slope of the line that passes through the points (-4,2) and…
2
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w x y z y = -2x - 3 y = 2x - 1 y = x + 4 y = -x + 2 y = -2x - 3 y = x +…
To solve this, we analyze the slopes and y - intercepts of each pair of linear equations and match them to the graph. ### Pair 1: \(y = - 2x-3\) and \(y = 2x - 1\) - For \(y=-2x -…
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(a) \\begin{cases} \\text{recta 1: } y = x + 1 \\\\ \\text{recta 2: } y…
La solución del sistema es \( x = -1 \) y \( y = 0 \), es decir, el punto \( (-1, 0) \).
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select all the quadrilaterals.
The top - left figure (rectangle), the top - right figure (parallelogram), and the bottom - left figure (quadrilateral) are quadrilaterals.
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which triangle congruence theorem can be used to prove the triangles a …
D. AAS
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13. what is the equation of a line that is perpendicular to y=x-5 and p…
\( y = (-\frac{3}{4})x - 3 \) (the third option, i.e., the option with \( y = (-3/4)x-3 \))
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in the following figure, determine the congruence rule by which the tri…
Side - Angle - Side
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question find the slope of a line perpendicular to the line whose equat…
The slope of the line perpendicular to the given line is $-3$.
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rectangle mnop is shown below. aidan argues that δmnq ≅ δpoq. what tria…
AAS and ASA
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26 classify the triangle as acute, right, or obtuse. 45° 45° a acute b …
B. right
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question find the slope of a line perpendicular to the line whose equat…
\(-\frac{5}{3}\)
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35 classify the triangle as acute, right, or obtuse. 48° 72° 60° a acut…
A. acute
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24 obtuse triangles always have a measurement of more than 90° a true b…
A. True
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relating angles of elevation and depression the angle of depression fro…
First blank: congruent; Second blank: angle; Last blank: each other (or "one another")
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name: mackenzie c chapter 3 review sheet: interpersonal skills part 1: …
C. Assertive ### Question 2
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hamlet and humanism name(s): quotation #22 (3.2.1-45) ophelia o, what a…
## Summary of what’s happening in the excerpt: Ophelia laments the downfall of Hamlet's noble mind. She describes him as a paragon of virtue, a model of courtly, martial, and scho…
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select the correct answer. which equation represents the line that is p…
B. \( x = -6 \)
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classify the triangles below as either right, obtuse or acute triangles…
- Top triangle: Obtuse - Second triangle: Acute - Third triangle: Obtuse - Bottom triangle: Right
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angles of elevation and dep an angle of elevation is formed betwee angl…
elevation
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graph the parabola. $y = x^2 - 6$ plot five points on the parabola: the…
Vertex: \((0, -6)\), Left points: \((-1, -5)\), \((-2, -2)\), Right points: \((1, -5)\), \((2, -2)\) (plot these points and draw the parabola).
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the graph shows a linear relationship. what is the y-intercept? answer …
0
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solving for angle measures of right triangles instruction gles of eleva…
First blank: ascending; Second blank: horizontal
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9. a triangle has a height of 14 cm with an area of 105 cm². if the are…
The correct option is the one with 7 cm (the third option, e.g., C. 7 cm if options are labeled, but based on the options given, the one with 7 cm).
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a rectangle has an area of $x^3 - 5x^2 - 3x + 15$, if the length is $x^…
B. \( X - 5 \) ### Second Question (Equivalent Rational Expression)
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solve for the angle measures. 13x + 13 15x - 5 the angle measures are: …
130
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question 94 1 pts what was significant about the bent pyramid? ○ it dem…
A. It demonstrated the most stable angle for pyramid construction ### Question 95
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22 solve for the angle measures. the angle measures are: degrees.
130
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true/false: agriculture and construction of monumental structures such …
False ### Question 89
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select the correct answer. which equation represents the horizontal lin…
D. \( y = 2 \)
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your friend asks you for help on a geometry exercise. your friend’s pap…
C. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the triangles do not have two pairs of congruent angles.
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part 3 of 3 prove that quadrilateral abcd is congruent to quadrilateral…
For $\triangle ABD \cong \triangle EFH$: AAS For $ABCD \cong EFGH$: A quadrilateral is congruent to another if it is made up of corresponding congruent triangles.
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two less than three times the width of a rectangle is equal to the leng…
C. 13 feet
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part 2 of 3 prove that quadrilateral abcd is congruent to quadrilateral…
CPCTC
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which equation represents a line that is perpendicular to line fg? (ima…
The slope of line FG is \( \frac{3}{5} \), so the slope of a perpendicular line is \( -\frac{5}{3} \). Thus, any line with slope \( -\frac{5}{3} \) is perpendicular to FG. (Note: …
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part 1 of 3 prove that quadrilateral abcd is congruent to quadrilateral…
SAS
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part 3 of 3 complete this proof. given ( angle b cong angle d ) and ( o…
AAS (The reason for the congruence of $\triangle CAB$ and $\triangle CED$ is the AAS (Angle - Angle - Side) congruence criterion, as we have two congruent angles ($\angle B\cong\a…
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in the diagram, \\overleftrightarrow{mn} is parallel to \\overleftright…
If we take \( \angle 1 \): \( \boldsymbol{52^\circ} \), \( \angle 2 \): \( \boldsymbol{128^\circ} \), \( \angle 3 \): \( \boldsymbol{128^\circ} \), \( \angle 4 \): \( \boldsymbol{…
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21 in the diagram, \\overleftrightarrow{mn} is parallel to \\overleftri…
\( m\angle1 = 52 \) degrees, \( m\angle2 = 128 \) degrees, \( m\angle3 = 52 \) degrees.
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select all of the statements that must be true if m∠4 = m∠6. image of a…
A. \(a \perp b\), B. \(m\angle4 = 90\), E. \(m\angle3 = m\angle7\)
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if a ⊥ c, c || b, xs = 10, and xy = 24 what is ry? a. 10 b. 26 c. 24 d.…
B. 26
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points a, b, and c are collinear. if bc = 8.5 and ac = 13.2, select all…
A. 4.7, C. 21.7
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which theorem can you use to prove that △ ghj and △ gkj are congruent? …
D. HL
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21 in the diagram, \\overleftrightarrow{mn} is parallel to \\overleftri…
\(m\angle1=\boxed{52}\) degrees, \(m\angle2=\boxed{128}\) degrees, \(m\angle3=\boxed{52}\) degrees
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part 2 of 3 complete the proof given: $\\angle b \\cong \\angle d$ and …
$\boldsymbol{\angle BCA \cong \angle DCE}$
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applying a trigonometric ratio to find a side length find the value of …
\( c \approx 5.01 \)
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drag and drop the correct angle measures onto the diagram. drag & drop …
- \( \angle L \): \( 45^\circ \) - \( \angle M \): \( 45^\circ \) - \( \angle N \): \( 135^\circ \)
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if $m\\angle nop = 24$ and $m\\angle noq = 110$, what is $m\\angle poq$?
\( 86^\circ \)
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part 1 of 3 complete the proof given $angle b cong angle d$ and $overli…
$\angle B \cong \angle D$ and $\overline{AC} \cong \overline{CE}$
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two angles of a quadrilateral measure 230° and 60°. the other two angle…
\(20^\circ\) and \(50^\circ\)
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a quadrilateral has two angles that measure 266.3° and 80.5°. the other…
\(5.6\)° and \(7.6\)°
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what is the measure of $\\angle spq$ in this rhombus? $m\\angle spr = (…
\( 126 \)
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a quadrilateral has two angles that measure 283° and 35°. the other two…
\(16\) and \(26\)
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a quadrilateral has two angles that measure 110° and 130°. the other tw…
\(50\) and \(70\)
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a quadrilateral has two angles that measure 215° and 65°. the other two…
\(35^\circ\) and \(45^\circ\)
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l, m, n with triangle, 26, 10, right angle at n. acent, and opposite. s…
The trigonometric ratios for angle \( L \) in right - triangle \( LNM \) are \( \sin(L)=\frac{5}{13} \), \( \cos(L)=\frac{12}{13} \), \( \tan(L)=\frac{5}{12} \) (after correcting …
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a quadrilateral has two angles that measure 234° and 80°. the other two…
\(20^\circ\) and \(26^\circ\)
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two angles of a quadrilateral measure 214.5° and 122.7°. the other two …
\(7.2^\circ\) and \(15.6^\circ\)
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two angles of a quadrilateral measure 79° and 242°. the other two angle…
\(9\) and \(30\)
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determining side lengths and trigonometric ratios determine the values …
For the side length of \( LN \), the value is \( 24 \). For the cosine ratio's denominator blank, it is \( 26 \), and the simplified cosine is \( \frac{12}{13} \). (For the side -…
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a quadrilateral has two angles that measure 205° and 85°. the other two…
\(30^\circ\) and \(40^\circ\)
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part 2 of 4 prove the following statement using the given pieces of inf…
Right Angles Congruent Theorem
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use the information on the circle to match the correct value with each …
- $\sin\frac{5\pi}{3}$: $-\frac{\sqrt{3}}{2}$ - $\cos\frac{3\pi}{2}$: $0$ - $\sin2\pi$: $0$ - $\sin\frac{7\pi}{4}$: $-\frac{\sqrt{2}}{2}$ - $\cos\frac{7\pi}{6}$: $-\frac{\sqrt{3}}…
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6. (a.e1.2, 10 points) circle 4 ordered pairs that are solutions to thi…
(1, 1), (3, -1), (4, 3), (6, 0)
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mapping figures using transformations quiz complete 1 2 3 4 5 6 7 8 9 1…
3
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two angles of a quadrilateral measure 296.9° and 48.6°. the other two a…
\(7\)° and \(7.5\)°
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mapping figures using transformations quiz complete 1 2 3 4 5 6 7 8 9 a…
(9, 1) (the last option, which is "9,1" as per the options: "○ (9, 1)")
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prove the following statement using the given pieces of information: gi…
The reason for the statement that \(\angle QHA\) and \(\angle DHA\) are congruent (since they are right angles) is "Right Angles Congruence Theorem". So the answer is to fill the …
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mapping figures using transformations quiz complete 1 2 3 4 5 6 7 8 tim…
\( T_{(7, 0)} \) (the first option)
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select the correct answer. what is the slope of the line that goes thro…
A. \( -\frac{1}{5} \)
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trigonometric ratios of similar triangles how can you use trigonometric…
1. We know that similar triangles will have congruent \(\boldsymbol{\text{corresponding}}\) angles and \(\boldsymbol{\text{proportional}}\) side lengths. 2. Because of this proper…
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casey builds the gate shown to the right, with two solid triangular pan…
The solid triangular panels \(\boldsymbol{can}\) be shown to be congruent by \(\boldsymbol{AAS}\) (Angle - Angle - Side) congruence criterion.
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#uneaved (image of a coordinate plane with two polygons drawn on it, on…
(Assuming the question is about the transformation: The two quadrilaterals are related by a **translation** (or rotation/reflection) as they are congruent. If we take translation,…
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mapping figures using transformations which sequence of transformations…
\( R_{O,180^\circ} \circ T_{(2, -4)} \) (the fourth option: \( R_{O,180^\circ} \circ T_{(2, -4)} \))
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your friend asks you for help on a geometry exercise. your friends pape…
B. Your friend’s paper does not name the triangles correctly for them to be congruent.
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which equation describes the line graphed above? a. $y = \\frac{3}{2}x …
D. \(y=\frac{2}{3}x + 4\)
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mapping figures using transformations quiz complete which sequence of t…
D. $T_{(3,1)} \circ R_{O, 270^\circ}$
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directions: find the value of x so that l || m. state the converse used…
\( x = 3 \); Converse: Converse of Corresponding Angles Theorem ### Problem 9:
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is quadrilateral defg congruent to quadrilateral mnop? explain choose t…
A. Yes. $\triangle DEF \cong MNO$ by AAS. $\overline{DF} \cong \overline{MO}$ by CPCTC, and $\triangle DFG \cong \triangle MOP$ by ASA. Since DEFG and MNOP are composed of corresp…
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part 3 of 3 complete the proof given ∠p ≅ ∠s and tq ≅ rq prove △qrs ≅ △…
$\triangle QRS\cong\triangle QTP$
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were you paying attention? i sure hope so! a.) ( m = \frac{y_2 - y_1}{x…
a. \( m=\frac{y_2 - y_1}{x_2 - x_1} \)
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drag and drop the correct angle measures onto the diagram: drag & drop …
Using vertical angles, supplementary angles, and corresponding angles (for parallel lines): - Angles equal to \( 60^\circ \): from \( 180 - 120 \), and corresponding angles. - Ang…
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part 2 of 3 complete the proof. given ( angle p cong angle s ) and ( ov…
Vertical Angles Theorem
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what are the domain and range of this function? graph of a coordinate p…
domain: $\{-5, 3, 4, 5\}$, range: $\{-4, -1, 4\}$ (the option with domain $\{-5, 3, 4, 5\}$ and range $\{-4, -1, 4\}$)
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18 name each pair of vertical angles image of two parallel lines cut by…
J. 2 & 4, E. 6 & 8, F. 5 & 7, A. 1 & 3 (But if we have to choose one, maybe J as a common vertical angle pair at the top intersection. Wait, maybe the diagram's angle numbering is…