Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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distance formula 1. find xy when x(-7, 10) and y(3, 4). d = \\sqrt{(x_2…
1. $XY = 2\sqrt{34}$ 2. $AB=2\sqrt{37}$ 3. Distance between points is $\sqrt{89}$
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problem 8: spiral review determine the missing angle measure in the iso…
The measure of the missing angles is \(30^{\circ}\) each.
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triangle def is congruent to △ghj by the sss theorem. which rigid trans…
translation
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5. find the measure of angle xyz to the nearest degree. show your calcu…
\(47^{\circ}\)
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is △mnl ≅ △qnl? why or why not? no, there are no congruent sides. yes, …
Yes, they are congruent by either ASA or AAS.
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problem 9: spiral review determine the missing angle measure in the equ…
\(60^{\circ}\)
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how can a translation and a reflection be used to map △hjk to △lmn? tra…
Translate $K$ to $N$ and reflect across the line containing $\overline{HJ}$.
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the scale drawing uses a scale of 1 unit : 9 feet. 4 units 4 units 8 un…
The triangle with sides 6 units, 6 units and 9 units.
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the proof that △mng≅△kjg is shown. given: ∠n and ∠j are right angles; n…
A. AAS
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what is the perimeter of rectangle efgh? g(-3, 4) h(2, 2) f(-4, 1) e(1,…
$2\sqrt{10}+2\sqrt{29}$ units
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3. in this diagram, line segment cd is the perpendicular bisector of li…
No, point \(E\) does not have the same distance between points \(A\) and \(B\) because the perpendicular bisector of \(AB\) is the set of points equidistant from \(A\) and \(B\), …
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in the diagram, ∠j ≅ ∠m and (overline{jl}congoverline{mr}). what additi…
$\overline{JK}\cong\overline{MN}$
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solve the following problems without a calculator. determine the transf…
Translation 4 units to the right and 1 unit down.
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triangle congruence. quadrilateral lmno is reflected over the line as s…
$\overline{DC}$
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problem 1 here are three intersecting lines. determine the missing angl…
The missing angles are $45^{\circ}$, $100^{\circ}$, $55^{\circ}$ (in the order corresponding to the problem's layout from top - right, bottom - left, and the other non - given ang…
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match each term to the correct definition column a 1. the portion of a …
1. g. line segment 2. d. isosceles 3. j. midpoint 4. c. polygon 5. f. regular polygon 6. k. triangle 7. m. quadrilateral 8. i. pentagon 9. l. hexagon 10. a. octagon 11. b. decagon…
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4. starting with 2 marked points, a and b, precisely describe the strai…
1. Use straight - edge to draw segment AB. 2. Set compass width to length of AB. 3. Draw circle centered at A. 4. Draw circle centered at B (same radius). 5. Select an intersectio…
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question 6 5 pts which of the following points is the reflection of (4,…
$(4,3)$
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in the diagram, jl = 120. what are jk and kl? 4x + 6 7x + 15 q is the m…
For \(JL\): \(JK = 42\), \(KL = 78\). For \(PR\): \(PQ = 41\), \(QR = 41\), \(PR = 82\). For \(\angle RQT\): \(\angle RQS = 72^{\circ}\), \(\angle TQS = 83^{\circ}\). For the circ…
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question 4 5 pts what is the equation of the line of reflection that ma…
For the translation question: Each point moves 6 units down. For the reflection question: $y = 0$
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in △xyz, m∠x = 90° and m∠y = 30°. in △tuv, m∠u = 30° and m∠v = 60°. whi…
No congruency statement can be made because the side lengths are unknown.
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due date: friday 9.19.2025 must show your work. no work = no credit. wr…
D. Rotate 120° counterclockwise around center C, then 220° rotate counterclockwise around C again.
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question 2 5 pts a triangle has vertices at (1,2), (4,2), and (1,5). if…
For the first question: $(7,3)$ For the second question: $(1,3)$
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read this text. southern africas so - called fairy circles - round patc…
yes
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d. mark it up. look at this timeline of anti - slavery laws. circle act…
Circle: - 1777: Vermont is the first to abolish slavery. - 1783: Massachusetts Supreme Court declares slavery unconstitutional. - 1799: New York passes a bill that will end slaver…
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must show your work. no work = no cred write an ordered pair for each o…
Lamp: $(1,2)$; Calculator: $(2,3)$; Globe: $(4,4)$ (Note: These are estimated coordinates based on visual inspection of the graph and may vary depending on the exact scale and pre…
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right triangle relationships and trigonometry. what equation can be use…
The correct equation to find the measure of $\angle LKJ$ is of the form $\cos^{-1}(\frac{\text{adjacent}}{\text{hypotenuse}})=x$. Without specific side - length values from the im…
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name: arms - quarter 1 week homework week #4 of 9.15.2025 - 9.19.2025 m…
$105$
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2 - 4 practice slopes of parallel and perpendicular lines for exercises…
Exercise 1: The two lines are parallel. Exercise 2: The two lines are not parallel. Exercise 3: The two lines are not perpendicular. Exercise 4: The two lines are perpendicular. E…
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9.18.2025 show your work. no work = no credit. (7.rp.3) ice cream recip…
1. 2 cups of sugar per gallon of milk 2. Radius: 7.5 cm 3. Diameter: 15 cm
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question 3 (1 point) a carpet installer measures three rooms in a house…
454 square feet
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fall 2025 geometry b wwva right triangle relationships and trigonometry…
14
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is there a series of rigid transformations that could map △qrs to △abc?…
Yes, $\triangle QRS$ can be translated so that $Q$ is mapped to $A$ and then reflected across the line containing $\overline{QS}$.
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find the value of y that makes the equation true. y^2 - 5 = 4. what is …
$y=\pm3$ $x = 39^{\circ}$ 2 cups of sugar per gallon of milk
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the proof that △qpt≅△qrt is shown. given: $overline{sp}congoverline{sr}…
definition of a perpendicular bisector
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quiz 4 3 - 1 lesson quiz suppose the equation of line (t) is (y = x). w…
(No specific answer given as the correct option among A, B, C is not identified in the problem - statement. But the above steps show how to solve to pick the right option.)
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what is the volume of this triangular pyramid? 15 mm 11 mm 12 mm cubic …
330
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suppose the equation of line ( t ) is ( y = x ). which shows the graph …
We need to apply the $(x,y)\to(y,x)$ rule to each vertex of $\triangle ABC$. Without knowing the exact coordinates of $A$, $B$ and $C$, we know that the general effect of reflecti…
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fall 2025 geometry b wwva right triangle relationships and trigonometry…
\(2\sqrt{14}\) square units
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in this diagram, line segment cd is the perpendicular bisector of line …
If point \(E\) is on the side of the perpendicular bisector \(CD\) of \(AB\) closer to \(A\), then \(E\) is closer to \(A\). If it is on the side closer to \(B\), then \(E\) is cl…
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after a reflection of the figure, the image vertices are a(5, 1), b(3, …
B. \(x = 2\)
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fall 2025 geometry b wwva right triangle relationships and trigonometry…
$20.5$ in
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what is the value of angle x in the figure below?
$39^{\circ}$
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1. this diagram is a straightedge and compass construction. a is the ce…
Line \(CD\) is perpendicular to segment \(AB\) (True), Point \(M\) is the midpoint of segment \(AB\) (True)
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mason is tiling the floor of his bathroom, which measures 9.75 feet by …
Yes, he will have enough tile because the area of the bathroom floor ($84.1425$ square feet) is less than the 90 square feet of tiles he is buying.
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two angles that are supplementary form a linear pair. this is a(n) stat…
This is a(n) False statement. I can Disprove it by using a counter - example of non - adjacent supplementary angles.
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fall 2025 geometry b wwva right triangle relationships and trigonometry…
$3.0$ cm
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5) find the coordinates of the vertices of each figure after the given …
$P'(2,4), Q'(3,5), R'(4,1)$
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if ∠a and ∠b are complementary and ∠a and ∠c are complementary, then ∠b…
This is a(n) true statement. I can prove it by using the congruent - complements theorem (or the transitive property of equality).
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suppose the equation of line s is y = 2. what are the coordinates of c …
(-2, 5)
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what is the rule used to transform $\triangle abc$ to its image? $a(-3,…
D. \(r_{x - axis}(x,y)=(x,-y)\)
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question 3 of 10. the formula for the volume of a sphere is v = 4/3πr³,…
D. 4.7 inches
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triangle abc has vertices a(-2, 5), b(1, 0), and c(6, -2). what are the…
C. $A'(2,5), B'(-1,0),$ and $C'(-6,-2)$
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which rule explains why these triangles are congruent? asa sas aas sss …
AAS
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3. circle all other names for $overrightarrow{sq}$? (circle all that ap…
# Explicación paso a paso: ## Paso 1: Comprender la notación de segmentos de recta Un segmento de recta se denota por la notación $\overline{AB}$ donde A y B son los extremos del …
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vertices of each figure after the given transformation. 2) rotation 180…
The new coordinates of E are $(0,-2)$, of F are $(-3,-5)$ and of G are $(-3,-2)$.
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ee ma lt.4.10 supplementary angles include an obtuse angle. this is a(n…
True; justify; the definition of supplementary angles
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each figure after the given transformation. 2) rotation 180° about the …
The new coordinates of the vertices of the rotated figure are $L'(-1,0)$, $M'(3,1)$, $K'(0,4)$, $N'(4,4)$
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4. the ray opposite of \\(\\overrightarrow{cg}\\) is ______. (2 points)…
# Explicación: ## Paso 1: Definir rayo opuesto Un rayo opuesto a $\overrightarrow{CG}$ tiene el mismo extremo inicial (punto $C$) y se extiende en la dirección opuesta. ## Paso 2:…
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two sides of a triangle measure 12 and 10. which inequality shows all t…
A. \(2 < x < 22\)
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fall 2025 geometry b wwva area and perimeter of triangles what is the a…
81.33 square units
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6. circle true or false input is the y value
False
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match each item to the correct definition. column a 1. the portion of a…
1. c. line segment 2. d. isosceles 3. e. midpoint 4. i. polygon 5. k. regular polygon 6. l. triangle 7. a. quadrilateral 8. b. pentagon 9. j. hexagon 10. g. octagon 11. n. decagon…
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the area of the shaded sector is 8π. what is the measure of ∠sot, which…
B. $45^{\circ}$
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triangle abc and triangle xyz are drawn below. use the dropdown boxes b…
A sequence of rotation followed by translation can map triangle \(ABC\) onto triangle \(XYZ\).
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finding the slope of a line using a graph. the graph represents one sid…
$\frac{7}{2}$
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pq is reflected across the line x = - 3. the coordinates of the endpoin…
D. $(-8,4)$
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for items 11 - 14. use the figure shown. ab is parallel to ce. point f …
B. Yes, they are alternate interior angles
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what is the area of a circular region whose diameter is 6 centimeters? …
D. $9\pi$ square cm
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for items 7 - 10, use the figure shown. what is m∠bcd? a 22.62 b 67.38 …
B. 67.38
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what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 s…
C. 6 square m
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for items 7 - 10, use the figure shown. what is the length of side b? a…
C. 13
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write a function and a verbal description to describe each transfo 13) …
Function: $(x,y)\to(-x,y)$ Verbal description: Reflection across the y - axis
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for items 7 - 10, use the figure shown. what is the length of side a? a…
C. 13
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given the triangle below, what is the length of the hypotenuse? 2 cm 4 …
D. \(\sqrt{20}\) cm
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for items 7 - 10, use the figure shown. d is the midpoint of $overline{…
A. 22.62
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does △abc appear to be the same size and shape as △xyz? explain. a yes;…
B. Yes, $\triangle ABC$ maps onto $\triangle XYZ$ with a translation and a reflection.
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homework - wednesday 9.17.2025 solve the following problems without a c…
For $y^{2}-5 = 4$, $y = 3$ or $y=-3$; for $7 + 16=4+\frac{6}{11}m$, $m=\frac{209}{6}$; for the angle problem, $x = 39^{\circ}$
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find the distance between the points (3, 4) and (-1, 0). a 8 b $2\\sqrt…
D. $4\sqrt{2}$
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use the figure shown. what is the exact length of $overline{ac}$?
\(2\sqrt{17}\)
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identify the graph of $\frac{x^{2}}{36}+\frac{y^{2}}{16}=1$.
D.
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use the figure shown. what is the measure of side a? a =
5
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in the figure shown, the measures of all angles are equal, and ab = ef.…
D. none of the above
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1. line / is parallel to line m. 2. if two lines are parallel, then the…
D. Line $l$ does not intersect line $m$.
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what is the volume of the rectangular prism? = 1 cubic inch a 78 cubic …
D. 168 cubic inches
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mollie was given 4 problems 9 + 11 = 20 3 + 5 = 8 7 + 15 = 22 1 + 13 = …
Mollie used inductive reasoning and Maggie used deductive reasoning.
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graph the inequality below on the number line. x>10
On the number - line, place an open - circle at 10 and shade the region to the right of 10.
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graph the inequality below on the number line. y≤ - 7
Use a closed circle at - 7 and shade the number - line to the left of - 7.
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which of the following sentences signals a sequence of events? “unfortu…
"Eight years later Francis Langley erects the Swan ..."
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identify a biconditional statement, if possible, that could be written …
A point is a midpoint, if and only if, it divides a segment into two equal halves.
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determine the x - intercepts of the function. choose two correct answer…
(-2,0), (2,0)
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10. the three sides of a triangle are given as: side 1: (x + 1.5) inche…
\(x + 1.5+2x+x + 3=30x\)
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solve for x and graph the solution on the number line below. 9x > 45 an…
Inequality Notation: $x>5$ Number Line: Draw an open - circle at 5 and shade to the right.
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9. line 1: (0, 1), (1, 3) line 2: (4, -1), (5, 2) slope formula: $m = \…
B. Neither
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m2l10 congruent triangles back question 5 not yet answered marked out o…
b. none of the other options
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7. multiple choice 1 point 7. the slopes of perpendicular lines are ___…
B. opposite reciprocals
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what additional piece of information would allow you to conclude that t…
A. all of the given options
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6 multiple choice 1 point the slopes of parallel lines are ____. a) opp…
b) equal
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the diameter of a circle is 18 inches. what is the area? d = 18 in give…
$81\pi$
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note: figure not drawn to scale. in the triangle shown, what is the val…
C. $\frac{26}{7}$