Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question triangle jkl is similar to triangle mno. find the measure of s…
$6.9$
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the length of karis rectangular living room is 3 meters and the distanc…
\(7.4\)
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∠w and ∠u are supplementary and ∠u and ∠v are supplementary. complete t…
1. Given 2. Given 3. Definition of supplementary angles 4. Definition of supplementary angles 5. Transitive property of equality 6. Subtraction property of equality 7. Definition …
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two cars leave the same parking lot, with one heading north and the oth…
\(3.6\)
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denise takes a sheet of paper and cuts from one corner to the opposite …
8.5
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look at this graph: graph of a parabola opening upwards with vertex at …
-6
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a regular hexagon with center b is shown below. what is the area of the…
259.8
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a windowpane is 7 inches tall and the diagonal distance from one corner…
\(5.7\)
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destiny is mountain climbing with troy and has just climbed a 15-meter …
25
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which graph represents the solution to the inequality? 0.7(x - 4) < 2.1…
A. The graph with an open circle at 8 (on the number line with marks - 4, - 2, 0, 2, 4, 6, 8, 10,...) and an arrow pointing to the left.
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look at this graph: graph of a parabola with vertex at the origin what …
(0, 0)
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tu ⊥ st and pq ⊥ qr. complete the proof that ∠pqr ≅ ∠stu. | | statement…
- For Statement 4: Reason is "Definition of perpendicular lines" - For Statement 6: Reason is "Definition of congruent angles"
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three baseball players are playing catch. celine is directly south of b…
8
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reasoning 5. in the diagram shown, hk and ji intersect at point l such …
A 180 - degree rotation about point \( L \) ### Problem 5(b)
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brittany is replacing a door that measures 80 inches by 39 inches. what…
89
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∠s and ∠q are complementary and ∠q and ∠r are complementary. complete t…
- Step 3 Reason: Definition of complementary angles - Step 7 Reason: Definition of congruent angles
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3. identify two pairs of angles of the given type using the image below…
a. Corresponding Angles: \(\angle1\) and \(\angle3\), \(\angle2\) and \(\angle4\) (answers may vary, other valid pairs exist) b. Consecutive Interior Angles: \(\angle6\) and \(\an…
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** this is a 2 - page document! ** 1. use the diagram below to answer t…
s (for each part): a) \(\overline{FS}\), \(\overline{WU}\), \(\overline{ZV}\) b) \(\overline{XW}\), \(\overline{TS}\), \(\overline{UV}\) c) \(\overline{WU}\), \(\overline{XT}\), \…
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write the coordinates of the vertices after a translation 8 units left.…
- \( B'(-2, -7) \) - \( C'(-2, -6) \) - \( D'(-1, -6) \) - \( E'(-1, -7) \)
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read the lines from stanza 2. ronan places blueberries in a circle on a…
B. to show that the family has a big breakfast
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write the coordinates of the vertices after a translation 3 units left.…
\( A'(-8, 2) \) \( B'(-2, 2) \) \( C'(-1, 10) \) \( D'(-7, 10) \)
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geometry with data analysis u3 l11 connect 4! review game 1. write the …
- Segment DF: $\boldsymbol{\overline{DF}}$ - Line TS: $\boldsymbol{\overleftrightarrow{TS}}$ - Angle ABC: $\boldsymbol{\angle ABC}$ - Ray GH: $\boldsymbol{\overrightarrow{GH}}$ - …
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find the equation of the axis of symmetry for the parabola $y = x^2$. s…
\( x = 0 \)
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write the coordinates of the vertices after a translation 14 units left…
\( J'(-8, -10) \), \( K'(-8, 0) \), \( L'(-7, 0) \), \( M'(-7, -10) \)
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write the coordinates of the vertices after a translation 3 units left …
\( D'(-2, -8) \), \( E'(-2, -1) \), \( F'(5, -1) \), \( G'(5, -8) \)
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9. this rectangle has an area of 42 square centimeters. what is the mis…
7 cm
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$\\angle x$ and $\\angle v$ are complementary and $\\angle w$ and $\\an…
1. Reason for Statement 1: Given 2. Reason for Statement 2: Given 3. Reason for Statement 3: Definition of complementary angles 4. Reason for Statement 4: Definition of complement…
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do the ordered pairs plotted in the graph represent a function? explain…
The graph \(\boldsymbol{\text{does not represent}}\) a function because \(\boldsymbol{\text{there is an } x\text{-value that}}\) corresponds \(\boldsymbol{\text{to more than}}\) o…
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give the domain and range of the graph shown to the right. then, use th…
\([-4,6]\)
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$overleftrightarrow{pq} perp overleftrightarrow{qr}$ and $overleftright…
- For Statement 3: Definition of perpendicular lines - For Statement 4: Definition of perpendicular lines
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complete the proof that $\\angle ptq \\cong \\angle rts$. image of inte…
1. Reason for Statement 1: Linear Pair Postulate (angles forming a linear pair are supplementary) 2. Reason for Statement 2: Linear Pair Postulate (angles forming a linear pair ar…
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∠u and ∠s are supplementary and ∠t and ∠s are supplementary. complete t…
1. Given 2. Given 3. Definition of supplementary angles 4. Definition of supplementary angles 5. Transitive property of equality 6. Subtraction property of equality 7. Definition …
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graph the line. -8x + 4y = 16 use the graphing tool to graph the equati…
To graph the line $-8x + 4y=16$ (or $y = 2x + 4$), plot the y - intercept $(0,4)$ and use the slope $m = 2$ (rise 2, run 1) to find additional points, then draw a line through the…
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concurrency of medians (theorem) - the medians of a triangle are concur…
The subfield is Geometry (under Mathematics), and the concept is the Centroid Theorem for triangle medians.
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complete the proof that \\overleftrightarrow{qs} \\perp \\overleftright…
- For Statement 2: Linear Pair Postulate - For Statement 3: Substitution Property - For Statement 4: Division Property of Equality - For Statement 5: Definition of Perpendicular L…
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△qrt is equilateral, t is the midpoint of \\(\\overline{su}\\), and \\(…
1. Reason for $\triangle QRT$ is equilateral: Given 2. Reason for $T$ is the midpoint of $\overline{SU}$: Given 3. Reason for $\overline{RS} \cong \overline{QU}$: Given 4. Reason …
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8. find the missing side length. then find the area and explain how to …
Missing side length: 9 yd Area: 52 yd²
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5.3 medians and altitudes (ak) altitude a perpendicular segment from a …
The subfield is Geometry (under Mathematics).
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y = 6x + 4 x = -1 click to select points on the graph.
The point is \((-1, -2)\) (and we can identify it on the graph: moving to \( x=-1 \) (left of the y - axis, 1 unit) and \( y = - 2 \) (below the x - axis, 2 units)).
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7. one side of a square garden is 8 feet long. how can you find the are…
64 square feet
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$\\overleftrightarrow{fg} \\perp \\overleftrightarrow{gh}$ and $\\overl…
- For Statement 3: Definition of perpendicular lines - For Statement 4: Definition of perpendicular lines - For Statement 5: Transitive property of equality (or substitution, sinc…
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yz || wx and yz ≅ wx. complete the proof that wz ≅ xy. image of a quadr…
Statement 5: \( \overline{WZ} \cong \overline{XY} \); Reason: CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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38. which number line represents the solution to the inequality 125x + …
A. The number line with a closed circle at 8 and shaded to the right (from the given options, the one labeled A with closed circle at 8 and right shading).
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th 8.7b solutions for volume of cylinders, cones, and spheres, s for th…
\(21\) meters ### Question 4
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just in time learning upcoming lesson: math 8.7b lo: swbat determine so…
56 inches
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triangle abc is similar to triangle efd. what scale factor is required …
D. \(\frac{1}{3}\)
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p9.1.3 (equations & graphs) what is the y-intercept of the line graphed…
D) \((0, 8)\)
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question what is the volume of a sphere with a radius of 60.5 ft, round…
\( 928779.5 \)
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what values of w and x make δstu ≅ δfge? t 2w+8 2w+x+8 u s w = x = subm…
\( w = 16 \), \( x = 4 \)
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question find the volume of a right circular cone that has a height of …
\( 497.7 \)
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what values of x and y make δstu ≅ δfhg? triangle stu with right angle …
\(x = 5\), \(y = 15\)
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1) find the length of \\(\\overline{km}\\).
5
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33. the head of a nail is circular, as shown. the head of this nail has…
C. \( 28.26\ \text{mm}^2 \) ### Question 34
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consider the following system of equations. \\begin{cases} -10x^2 - 10y…
The equations represent circles that result in the same graph.
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look at this shape: image of a blue triangle on a grid which image show…
C
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find the x-intercept and the y-intercept of the line below. click on on…
(a) x - intercept: 1 (b) y - intercept: 4
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select the correct answer from each drop-down menu. a circle is rotated…
The three - dimensional shape resulting from the rotation is a \(\boldsymbol{\text{torus}}\) with a \(\boldsymbol{\text{central}}\) (or appropriate term related to the axis - base…
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in the diagram shown, what are the measures of ∠dbc, ∠dbe, ∠ebf, and ∠d…
m∠DBC = 130°, m∠DBE = 80°, m∠EBF = 50°, m∠DBF = 130° (assuming the protractor measurements as per the diagram's markings)
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given the two rectangles below. find the area of the shaded region.
The area of the shaded region is \(\boldsymbol{55}\).
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the goal of a video game is to find hidden gems on a number line. an em…
$3\frac{1}{2}$ (the option with $3\frac{1}{2}$)
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what is the volume? 6 mm 6 mm 6 mm cubic millimeters
216
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for each set of three lengths, determine if they can be the side length…
For the set \( 16.0, 9.5, 7.2 \): Check the "Can be side lengths of a triangle" option. For the set \( 18, 7, 14 \): Check the "Can be side lengths of a triangle" option. For the …
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find the area of the shaded shape. 1 unit 1 unit square units
15 square units
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles are necessarily congruent by the SAS (Side - Angle - Side) congruence criterion. The flowchart statements are filled as: 1. Statement: $ZA \cong LM$, Reason: GIVEN 2…
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what is an equation of the line that passes through the point (6, -2) a…
$y = \frac{1}{6}x - 3$
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find the sum of the first 8 terms of the following sequence. round to t…
\(33.31\) (rounded to the nearest hundredth)
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look at this graph: what is the equation of the axis of symmetry? submit
\(x = 0\)
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is \((3,6)\) (other valid points like \((4,6)\), \((2,6)\) etc. are also correct as long as they satisfy both inequalities)
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directions: show all steps of your thinking and circle final answers! p…
\(x = -1\) ### Problem #2
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a 45 foot ladder is set against the side of a house so that it reaches …
22.4 feet
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reflect triangle def over the x - axis, then translate the image 8 unit…
The order of the transformations (reflecting over the \(x\) - axis then translating 8 units right, or translating 8 units right then reflecting over the \(x\) - axis) does not mat…
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classify this triangle by its sides. isosceles but not equilateral scal…
isosceles but not equilateral
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the line y = x is transformed into the line y = 8x - 3. fill in the bla…
The slope is $\boldsymbol{8}$, and the line is shifted $\boldsymbol{\text{steeper}}$ (and also shifted down by 3 units for the $y$-intercept part, but focusing on the slope - rela…
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a right triangle has side lengths d, e, and f as shown below. use these…
$\cos x = \frac{d}{f}$, $\sin x = \frac{e}{f}$, $\tan x = \frac{e}{d}$
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the rectangular coordinate system shows the graph of the equations in a…
B. There are an infinite number of solutions
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find the slope of the line. what does the slope tell you about the spee…
The slope is \(20\). The speed of the car is \(20\) miles per hour.
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triangles identifying and naming congruent parts of congruent triangles…
(a) $\angle A \cong \angle Y$, $\angle B \cong \angle X$, $\angle C \cong \angle Z$ (b) $\overline{AB} \cong \overline{YX}$, $\overline{AC} \cong \overline{YZ}$, $\overline{BC} \c…
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use the formulas developed in this section to find the area of the figu…
35 square inches (o \( 35 \text{ in}^2 \))
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can you conclude that these triangles are congruent? u q t s yes no
yes
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select the correct answer from each drop - down menu. consider quadrila…
The area of quadrilateral EFGH is closest to \boxed{28} (or 30, but based on calculation, 27 is closer to 28). Wait, maybe the intended answer is 28 or 30. Alternatively, maybe I …
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graph the inequality. $y < 2x - 4$
The graph of \( y < 2x-4 \) consists of a dashed line with slope 2 and y - intercept - 4 (passing through points like \( (0,-4) \), \( (1,-2) \), \( (-1,-6) \)) and the region bel…
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question find the length of the third side. if necessary, write in simp…
\(\sqrt{29}\)
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use the venn diagram shown to answer the question below. which regions …
IV, V, VI, VII
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classify this triangle by its sides. equilateral scalene isosceles but …
equilateral
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classify this triangle by its sides. isosceles but not equilateral equi…
scalene
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answer the questions about figure a and figure b below. (a) are figure …
(a) Yes (b) None of the options (but if forced, maybe the first option is intended, but my analysis is conflicting. Wait, rechecking: The correct transformations for congruent fig…
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the figure shows a transversal that intersects two parallel lines. none…
$\angle 1$, $\angle 5$, $\angle 7$
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what is the relationship between ∠1 and ∠2? match each figure with the …
## First Figure (Top - Left): The relationship between $\angle 1$ and $\angle 2$ in the top - left figure is alternate interior angles (if we consider the transversal and parallel…
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select the correct answer from each drop - down menu. rectangle abcd is…
Slope: 0, Length: 1
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find the perimeter. simplify your answer. w w+1 w+1 w
\( 4w + 2 \)
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graph this function: y = x + 2 click to select points on the graph.
To graph \( y=x + 2 \), plot the y - intercept \( (0,2) \) and use the slope \( m = 1 \) to find other points (e.g., \( (1,3) \), \( (-2,0) \)) and draw a straight line through th…
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recall that two angles are complementary if the sum of their measures i…
\( 75 \)
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what is the relationship between ∠1 and ∠2? match each figure with the …
Top - Left Figure: alternate exterior angles Top - Right Figure: alternate interior angles
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△abc is rotated 90° clockwise around the origin to form △abc. which coo…
Opposite of \(x\)-coordinate of point \(A\)
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gardening a gardener uses a grow light to grow vegetables indoors. if (…
\( 64^\circ \)
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solve for x. round to the nearest tenth of a degree, if necessary. (ima…
\( 56.3^\circ \)
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solve for x. round to the nearest tenth, if necessary. (image of a righ…
20.8
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$\\angle 1$ and $\\angle 2$ are supplementary angles. if $m\\angle 1 = …
The measure of \(\angle1\) is \(82^\circ\).
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$\\angle 1$ and $\\angle 2$ are complementary angles. if $m\\angle 1 = …
The measure of \(\angle1\) is \(56^\circ\).
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△pqr and △rst are shown below. which statement is true? △pqr is similar…
$\triangle PQR$ is similar to $\triangle RST$.