Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which point on the x - axis lies on the line that passes through point …
(1, 0)
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which of the lines that appear in the graph would be parallel to a line…
line FG
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if p is the incenter of $\\triangle jkl$, find each measure. 13. $m\\an…
13. $22^\circ$ 14. $36^\circ$ 15. $7$ 16. $10$ 17. $\sqrt{170}$ 18. $7\sqrt{2}$
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which point on the y - axis lies on the line that passes through point …
(0, 2)
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lines rs, tv, and sw are shown. which statements are true about these l…
- Line SW has an undefined slope. - Line TV has a slope of 0. - Lines RS and TV are parallel.
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find the desired slopes and lengths, then fill in the words that charac…
To determine the type of triangle \( LMN \), we analyze the slopes and lengths of its sides. ### Step 1: Analyze Slopes (Perpendicularity) The slope of a line is given by \( m = \…
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solve the triangle. write each answer as an integer or as a decimal rou…
$\angle U = 37^\circ$, $t \approx 12.1$, $v \approx 12.9$
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classify the triangle by its sides and angles if it has angle measures …
a. scalene, b. acute ### Question 6
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problem 1 graph two lines that match the description: two lines with th…
No solution
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12. if g is the circumcenter of $\\triangle ace$, find $gd$.
36
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the points l(-4, -6), m(-5, -1), and n(5, 1) form a triangle. plot the …
# Explanation: ## Step1: Plot point L To plot \( L(-4, -6) \), find the x - coordinate \( - 4 \) on the horizontal axis (x - axis) and the y - coordinate \( -6 \) on the vertical …
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solve the triangle. write each answer as an integer or as a decimal rou…
$FG \approx 4.9$, $\angle F \approx 56.9^\circ$, $\angle G \approx 103.1^\circ$
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solve the triangle. write each answer as an integer or as a decimal rou…
$w \approx 15.7$, $\angle X \approx 33.9^\circ$, $\angle Y \approx 43.1^\circ$
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for the triangles to be congruent by hl, what must be the value of x? 2…
4 (Option C: 4)
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point h is the midpoint of side fk. for the triangles to be congruent b…
C. 6
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solve the triangle. write each answer as an integer or as a decimal rou…
$\angle E = 117^\circ$, $d \approx 5.1$, $f \approx 10.9$
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the triangles are congruent by sss and hl. which transformation(s) can …
reflection, then translation
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the triangles are congruent by sss or hl. which transformation(s) can m…
reflection, then translation
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the triangles are congruent by the sss congruence theorem. which transf…
translation, then reflection
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solve the triangle. write each answer as an integer or as a decimal rou…
$\angle X = 68^\circ$, $x \approx 14.3$, $w \approx 9.1$
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the triangles are congruent by the sss congruence theorem. which rigid …
A. reflection, then rotation
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examine this figure. which two pieces of information, if true, would he…
- Line MK is the perpendicular bisector of $\overline{LN}$. - $\overline{ML} \cong \overline{MN}$
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4) are these shapes similar? yes no
no
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are these shapes similar? options: yes, no
no
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name the circle.
Circle \( T \) (or \( \odot T \))
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the triangles are congruent by the sss congruence theorem. which rigid …
reflection, then translation
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the triangles shown are congruent by the sss congruence theorem. the di…
translation, then reflection, then rotation
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solve the triangle. write each answer as an integer or as a decimal rou…
$\angle W = 24^\circ$, $x \approx 4.9$, $v \approx 13.3$
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1. find the components and the length of \\(\\overrightarrow{pq}\\). 1.…
Components of $\overrightarrow{PQ}$: $(4, -3)$ Length of $\overrightarrow{PQ}$: $5$
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solve the triangle. write each answer as an integer or as a decimal rou…
$\angle Q = 53^\circ$, $s \approx 5.0$, $q \approx 5.6$
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what is the area of the rectangle? 3 meters 4 meters square meters
12
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what is the area of the rectangle? 2 yd 5 yd \\square square yards
10
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what is the order of rotational symmetry for the figure? a. 2 b. 4 or m…
B. 4 or more
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find the value of x and y when given a triangle whose midpoints are con…
$x = 4.8$ $y = 1.5$
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what rotation about the origin is equivalent to $r_{-500^{circ}}$?\ \\(…
D. $R_{220}$
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given $fe = 23.5$, find $bd$. a. 11.75 b. 12 c. 24 d. 11.5 reset select…
A. 11.75
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in the figure below, points j, k, and l are the midpoints of the sides …
\( JL = \boldsymbol{38} \) \( XZ = \boldsymbol{24} \) \( LZ = \boldsymbol{12} \)
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if each interior angle of a regular polygon measures 157.5°, how many s…
D. 16 sides
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which of the following statements is false? a. the diagonals of a rhomb…
B. In quadrilateral \(PQRS\), \(\angle P\) and \(\angle S\) are opposite angles.
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there is a triangle - like figure with some markings. one side is marke…
20
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question 15 of 50 2 points if a rectangle is not a square, what is the …
C. 2
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translations ______ side lengths of the figure. a. all of these b. pres…
B. preserve
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find the midpoint between the two given coordinates. (-15, -12) and (-1…
$(-16.5, 1)$
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theodores reasoning we should buy the cone - shaped cup because it has …
Theodore is correct. The volume of the cone-shaped cup is larger.
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find the midpoint between the two given coordinates. (13, -15) and (15,…
$(14, -5.5)$
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in the standard (x, y) coordinate plane, what is the length of the line…
A. $\sqrt{34}$
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are the triangles congruent? why or why not? ○ yes, all the angles of e…
Yes, they are congruent by either ASA or AAS.
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which statements are true about additional information for proving that…
A. If $\angle A \cong \angle T$, then the triangles would be congruent by ASA. B. If $\angle B \cong \angle P$, then the triangles would be congruent by AAS.
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points a, b, and c are collinear. point b is between a and 13) find x i…
\( x = -2 \) ### Problem 15:
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which rigid transformation would map △ mzk to △ qzk? a rotation about p…
a reflection across the line containing $\overline{ZK}$
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what additional information is needed to prove that the triangles are c…
$\boldsymbol{\angle L \cong \angle P}$
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what additional information could be used to prove that the triangles a…
- $\boldsymbol{\angle B \cong \angle P}$ and $\boldsymbol{\overline{BC} \cong \overline{PQ}}$ - $\boldsymbol{\angle A \cong \angle T}$ and $\boldsymbol{AC = TQ = 3.2\text{cm}}$ - …
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two rigid transformations are used to map $\\triangle jkl$ to $\\triang…
a rotation about point L
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given, ∠tsr and ∠qrs are right angles; ∠t ≅ ∠q prove: △tsr ≅ △qrs step …
of the AAS congruence theorem.
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which of the following is the graph of the solution set of the absolute…
The first number line (the one with left red line from - 8 to an open circle and right red line from an open circle to 16, with open circles, representing \(x < - 3\) or \(x>9\))
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if ( vx = wz = 40 ) cm and ( mangle zvx = mangle xwz = 22^circ ), can (…
No, there is not enough information given.
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two rigid transformations are used to map $\\triangle abc$ to $\\triang…
a reflection across the line containing $\overline{AC}$
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what combination of transformations is shown below? translation, then r…
reflection, then translation
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the proof that \\( \\triangle acb \\cong \\triangle ecd \\) is shown.\ …
$\boldsymbol{\angle ACB \cong \angle ECD}$
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find the equation of the line that is perpendicular to y = 6x - 2 and c…
$y = -\frac{1}{6}x - 1$ (The missing numerator is 1, denominator is 6, and the constant term is -1)
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in the diagram, $overline{kl} cong overline{nr}$ and $overline{jl} cong…
$\boldsymbol{\angle L \cong \angle R}$
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the proof that △mns ≅ △qns is shown. select the answer that best comple…
MS and QS
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which rigid transformation would map $\\triangle aqr$ to $\\triangle ak…
a rotation about point A
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complete the statement. the slope of a line perpendicular to the line $…
\(-\frac{1}{12}\) (corresponding to the option \(-\frac{1}{12}\))
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what combination of transformations is shown below? rotation, then refl…
rotation, then reflection
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how can $\\triangle wxy$ be mapped to $\\triangle mnq$? translate verte…
$\boldsymbol{\overline{WX}}$
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your answer is incorrect. one of the figures is incorrectly classified.…
For figure WYXV: Quadrilateral Parallelogram Rectangle For figure LNK M: Quadrilateral Parallelogram For figure ABDC: Quadrilateral Parallelogram
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in the diagram below, $overline{ab} parallel overline{cd}$, $overline{a…
$m\angle DEC = 90^\circ$
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l n k m quadrilateral parallelogram rectangle
- Quadrilateral (checked, as it has 4 sides) - Parallelogram (checked, as opposite sides are parallel) - Rectangle (checked, as it is a parallelogram with 4 right angles)
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what inequality does this number line show? -195 -194 -193 -192 -191 -1…
\( x > -193 \)
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given the information marked on each figure below, select all classific…
- First Figure (G, H, I, J): Quadrilateral, Parallelogram, Rectangle (all three options are true). - Second Figure (A, B, C, D): Quadrilateral, Parallelogram, Rectangle (all three…
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b) analyze the properties and complete the inequality. | boundary line …
1. $y \leq -3x + 7$ 2. $y > -9x - 2$ 3. $y \geq 4$ 4. $y < 10x + 1$ 5. $y > -5x + 6$
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1) what inequality does this number line show? -5 -4 -3 -2 -1 0 1) writ…
\( x \leq -2 \)
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module test 1. what is the factored form of the expression ( x^2 - 15x …
C. \((x - 6)(x - 9)\) ### Question 2
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determine if the lines are parallel (∥), perpendicular (⊥), or neither.…
5. $m_1=\frac{5}{3}$, $m_2=\frac{3}{5}$, neither 6. $m_1=3$, $m_2=3$, $\parallel$ 7. $m_1=\frac{1}{2}$, $m_2=-2$, $\perp$ 8. $m_1=\frac{3}{2}$, $m_2=-\frac{2}{3}$, $\perp$ 9. $m_1…
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determine if the lines are para 5. $y = \\frac{5}{3}x - 4$ $y = \\frac{…
$m_1 = \frac{5}{3}$ $m_2 = \frac{3}{5}$ neither
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circular flow diagram: fill in the missing information below, show all …
1. **Top rectangle (Market):** Market for Goods and Services - Downward arrow: Goods and Services (from Firms to Households) - Upward arrow: Consumption Expenditure (from Househol…
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4. p(-3,14), q(2,-1), r(4,8), s(-2,-10) slope of (overline{pq}) slope o…
| Slope of $\overline{PQ}$ | Slope of $\overline{RS}$ | Types of Lines | |---------------------------|---------------------------|----------------| | $-3$ | $3$ | Neither parallel…
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3. p(12, -2), q(5, -10), r(-4, 10), s(4, 3) slope of (overline{pq}) slo…
| Category | Result | |------------------------|-----------------| | Slope of $\overline{PQ}$ | $\frac{8}{7}$ | | Slope of $\overline{RS}$ | $-\frac{7}{8}$ | | Types of Lines | Pe…
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finding a missing dimension the congruent sides of an isosceles triangl…
10 units
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2. p(-4,17), q(1,-3), r(-9,3), s(-5,4) slope of (overline{pq}) slope of…
| Slope of $\overline{PQ}$ | Slope of $\overline{RS}$ | Types of Lines | |--------------------------|--------------------------|----------------| | $-4$ | $\frac{1}{4}$ | Perpendi…
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find the measure of the missing angles. answer attempt 1 out of 2 x = \…
\(x=\boxed{66}\) \(^\circ\), \(y=\boxed{24}\) \(^\circ\)
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lesson 3.3 practice name use slope to determine if lines pq and rs are …
| Slope of $\overline{PQ}$ | Slope of $\overline{RS}$ | Types of Lines | |--------------------------|--------------------------|----------------| | $\frac{3}{2}$ | $\frac{3}{2}$ |…
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points a, b, and c are collinear. point b is between a and c. solve for…
\(\sqrt{5}\)
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10) k•---7---•l---2x - 6---•m ↔-----------x + 9-----------↔ x = ______ …
\( 8 \)
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what is true about every rotation? the image is larger than the pre - i…
The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.
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which translation vectors could have been used for the pair of figures?…
- The vector pointing up-right (top row, third option) - The vector pointing up-right (bottom row, first option)
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when you plug in a negative (-)coordinate it changes to a positive (+).…
False
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how many square feet of outdoor carpet will we need for this hole? 6 ft…
\( 9 \)
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how many square feet of outdoor carpet will we need for this hole? 6 ft…
36
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how many square feet of outdoor carpet will we need for this hole? 6 ft…
48
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the triangle below is equilateral. find the length of side ( x ) to the…
$10.4$
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how many square feet of outdoor carpet will we need for this hole? 4 ft…
\( 40 \)
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7) (3, 0), (-11, -15)
The slope between the points \((3,0)\) and \((-11,-15)\) is \(\frac{15}{14}\)
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6) (19, 3), (20, 3)
The slope between the two points is \( 0 \).
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find ( mangle g ). write your answer as an integer or as a decimal roun…
$63.4$
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find ( mangle i ). write your answer as an integer or as a decimal roun…
$68.2$
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by the linear pair theorem, ∠2 is supplementary to ∠3, which means ( ma…
**Statement**: $m\angle2 + m\angle4 = 180^\circ$ **Reason**: substitution property of equality
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(17, -13), (17, 8)\ 6) (19, 3), (20, 3)\ (3, 0), (-11, -15)\ 8) (19, -2…
It seems you want to find the distance between the given pairs of points or maybe the slope? Since the problem isn't specified, I'll assume we need to find the distance between ea…
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find ( mangle v ). write your answer as an integer or as a decimal roun…
$26.6^\circ$