Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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5. complete the reasons for the 2 - column proof. given: ∠1 and ∠2 are …
1. Given 2. Definition of complementary angles 3. Definition of complementary angles 4. Vertical - angles are congruent 5. Definition of congruent angles 6. Transitive property of…
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if a translation of $t_{2,-7}(x,y)$ is applied to $\triangle abc$, what…
(-3,-12)
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what is the slope of this line? simplify your answer and write it as a …
$\frac{4}{15}$
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cai uses a computer program to resize photos for the online school news…
If we assume \(D(0,0)\), \(E(10,0)\), \(F(10,6)\), \(G(0,6)\) for rectangle \(DEFG\), then the coordinates of rectangle \(D'E'F'G'\) are \(D'(0,0)\), \(E'(5,0)\), \(F'(5,3)\), \(G…
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4. complete the 2 - column proof or sketch your completed proof block. …
| Statements | Reasons | |--|--| | 1. BE bisects ∠ABD | 1. Given | | 2. ∠ABE = ∠EBD | 2. Definition of angle - bisector | | 3. BD bisects ∠EBC | 3. Given | | 4. ∠EBD = ∠DBC | 4. D…
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find the distance between the two points rounding to the nearest tenth …
$10$
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find the distance between the two points rounding to the nearest tenth …
$8.5$
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find the measure of ∠a. (5x - 27)° (7x - 26)° (10x - 23)°
$\frac{343}{11}$ degrees (or approximately $31.18^{\circ}$)
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a rectangle on a coordinate plane is translated 5 units up and 3 units …
\((x,y)\to(x - 3,y + 5)\) (the third option)
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find the distance between the two points rounding to the nearest tenth …
# Explicación: ## Paso 1: Identificar las coordenadas Sean $(x_1,y_1)=(-8,0)$ y $(x_2,y_2)=(-4,2)$. ## Paso 2: Aplicar la fórmula de distancia La fórmula de distancia entre dos pu…
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find the distance between the two points rounding to the nearest tenth …
$7.3$
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find the distance between the two points rounding to the nearest tenth …
$5$
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the midpoint of $overline{ab}$ is $m(1,5)$. if the coordinates of $a$ a…
$(-5,4)$
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if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd,…
(1, -12)
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the midpoint of $overline{ab}$ is $m(1,2)$. if the coordinates of $a$ a…
$(4,-3)$
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the midpoint of $overline{ab}$ is $m(-2,4)$. if the coordinates of $a$ …
$(-3,3)$
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challenge yael used to have a square garage with 320 ft² of floor space…
One side of the garage was originally approximately $17.9$ ft long. The length of one side of the garage now is approximately $21.9$ ft. The percent increase in the length of one …
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what is the image point of (-5,6) after a translation right 1 unit and …
$(-4,10)$
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what is the image point of (0, -5) after a translation right 5 units an…
$(5,-3)$
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charlotte - mecklenburg schools math 3, unit 3, lesson 1 student are yo…
1. Plot points \((1,2)\) and \((3,0)\) and draw the line segment \(y=-x + 3\) for \(1\leq x\leq3\). 2. Sketch a frustum - like shape around the \(y\)-axis. 3. Frustum of a cone. 4…
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triangle abc was translated according to the rule (x, y) → (x + 1.5, y …
# Explanation: ## Step1: Reverse the translation rule To find the pre - image, we use the reverse rule. Given $(x,y)\to(x + 1.5,y - 3.5)$ for the translation to the image, the rev…
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what is the image point of (0, -1) after a translation left 5 units and…
$(-5,-2)$
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what is the image point of (6, 8) after a translation right 5 units and…
$(11,11)$
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what is the image point of (-6, -9) after a translation left 1 unit and…
$(-7,-14)$
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square abcd was translated using the rule (x, y) → (x - 4, y + 15) to f…
$(13,-23)$
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line p has a slope of $\frac{5}{8}$. line q is perpendicular to p. what…
$-\frac{8}{5}$
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o y>0 o y<0 o y<1 o y>1
y > 0
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translate the figure 4 units left and 6 units up. plot all of the point…
Plot the points $(-3,-2),(0,1),(0,-3)$ on the given coordinate grid.
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write the coordinates of the vertices after a translation 10 units righ…
The new coordinates of \(B\) are \((5,4)\), of \(C\) are \((5,7)\), and of \(D\) are \((6,10)\)
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translate the figure 4 units left and 6 units up. plot all of the point…
Plot the points $(-3,-2)$, $(0,1)$, $(-1,-1)$ on the graph.
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puzzle #2 1: find m∠a (25x - 5)° 12x° 2: find m∠b (15x - 7)° 14x° 3: fi…
# Explanation: ## Step1: Solve for x in the first - pair of angles Since vertical angles are equal, for angle A, we set up the equation \(25x - 5=12x\). Subtract \(12x\) from both…
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write the coordinates of the vertices after a translation 10 units righ…
$B'(5,4)$ $C'(5,7)$
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line v has a slope of $\frac{7}{8}$. line w is parallel to line v. what…
$\frac{7}{8}$
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line j has a slope of $\frac{5}{3}$. line k is parallel to line j. what…
$\frac{5}{3}$
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write the coordinates of the vertices after a translation 8 units left …
The new coordinates are $P'(-8,-4)$, $Q'(-1,-4)$, $R'(-7,-7)$
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line e has a slope of $\frac{8}{7}$. line f is parallel to line e. what…
$\frac{8}{7}$
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the area of a square garden is 36 m². how long is each side of the gard…
6
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b. if m∠r = m∠s, then ∠r ≅ ∠s.
This is a true statement based on the definition of congruent angles in geometry.
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write the coordinates of the vertices after a translation 3 units right…
$E'(-1,-8)$, $F'(-1,-3)$, $G'(5,-3)$, $H'(5,-8)$
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write the coordinates of the vertices after a translation 5 units left …
$S'(-4,-10)$ $T'(-4,-3)$ $U'(3,-3)$ $V'(3,-10)$
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system of equations: p = 6 - 2q p = 4 + q note: use the orange line (sq…
$p=\frac{14}{3},q=\frac{2}{3}$
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observe the figure shown to the right. (a) find the distance between p …
(a) $2\sqrt{10}$ (b) $(0,3)$
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solve the following system of equations for z and for y: system of equa…
Value of \(z\): \(5\) Value of \(y\): \(24\) ### Solving for \(a\) and \(b\)
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find each of the following. (a) the distance between the two points (b)…
(a) $\sqrt{10}$ (b) $(\frac{5}{2},\frac{19}{2})$
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graphing tutorial initial budget new budget now suppose paolos income i…
A change in E causes a shift of the budget constraint. The relationship between S and P is not a causal relationship.
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1. in the figures shown, △def is a scale drawing of △abc. all lengths s…
a. The scale factor is $\frac{1}{2}$. b. The area of $\triangle ABC$ is $84$ $cm^{2}$ and the area of $\triangle DEF$ is $21$ $cm^{2}$. c. The factor to apply to the area of $\tri…
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: Quadrant II For point B: B. Quadrant IV For point C: F. Quadrant I
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in which quadrant or on what axis does the point d lie? a. none, becaus…
We need the coordinates of point D to determine the correct option. Without that information, we cannot select a definite answer from A - F.
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: Quadrant II For point B: Quadrant IV For point C: Quadrant I
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: D. Quadrant II For point B: B. Quadrant IV For point C: F. Quadrant I
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identify the following terms in these three polynomial leading coeffici…
For $3x^2-9x + 4$: Leading coefficient $3$ (red), Degree $2$ (yellow), Constant $4$ (green), Underlined (trinomial). For $-9x^3-4x^2 + 6x+19$: Leading coefficient $-9$ (red), Degr…
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: D. Quadrant II For point B: B. Quadrant IV
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graphing tutorial initial budget new budget now suppose paolos income i…
A. A change in E causes a shift of the budget constraint. B. The relationship between S and P is not a causal relationship.
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tell in which quadrant or on what coordinate axis each point lies. a = …
D. Quadrant II
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use the figure below to answer the following questions: the angle that …
The angle that is a Linear Pair with angle 1 is angle 4. The angle that is a Linear Pair with angle 2 is angle 3. The angle that is a Vertical Angle with angle 1 is angle 3. The a…
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3 - 1 parallel lines and transversals 9. connecting to real life you ar…
25° and 155°
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plot (-2,2) on the coordinate axes. plot the point (-2,2).
The point $(-2,2)$ is plotted 2 units to the left of the y - axis and 2 units above the x - axis.
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sketch $\theta =-\frac{4pi}{3}$ in standard position. then show its ref…
The reference angle is $\frac{\pi}{3}$.
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solve the right triangle. round your answers to the nearest tenth.
$B = 51^{\circ}$ $b = 19.4$ $c = 38.1$
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solve for x in the triangle. round your answer to the nearest tenth.
$12.4$
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12. a group of 4 friends went to the movies. in addition to their ticke…
a. The equation is $4m + 6.25 = 44.25$ and the cost of one movie - ticket $m = 9.5$. b. For the model, we can draw 4 rectangles to represent the 4 movie - tickets (label each rect…
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what single transformation was applied to triangle a to get triangle b?
Translation 4 units up
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find secθ, cotθ, and cosθ, where θ is the angle shown in the figure. gi…
$\sec\theta=\frac{7\sqrt{33}}{33}$ $\cot\theta=\frac{\sqrt{33}}{4}$ $\cos\theta=\frac{\sqrt{33}}{7}$
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what single transformation was applied to quadrilateral a to get quadri…
90 - degree clock - wise rotation
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a right triangle has side lengths 9, 40, and 41 as shown below. use the…
$\cos X=\frac{40}{41}$ $\sin X=\frac{9}{41}$ $\tan X=\frac{9}{40}$
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what single transformation was applied to quadrilateral a to get quadri…
Translation
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what single transformation was applied to quadrilateral a to get quadri…
Dilation
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the width of the rectangular drawing is one - third the length plus 3 i…
38 inches
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answer the following. (a) find an angle between 0 and 2π that is coterm…
(a) $\frac{\pi}{6}$ (b) $120$
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angle of depression - the angle between the horizontal line and the lin…
$62^{\circ}$
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7. find the measures of the numbered angles.
$\angle1 = 61^{\circ}$, $\angle2 = 119^{\circ}$, $\angle3 = 61^{\circ}$, $\angle4 = 119^{\circ}$
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math 2201 september 2025 2)the worlds tallest free - standing totem pol…
The height of the cliff is approximately 195 m.
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5. label the net with the dimensions and find the surface area of the p…
340
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2. the lines that separate parking spaces are parallel. the measure of …
$60^{\circ}$
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12. four times the sum of f and g is identical to six times g. 13. the …
12. \(4(f + g)=6g\) 13. \(A = \ell^{2}\) 14. \(P=a + b + c\)
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move the correct answer to each box to make the statement true. not all…
Polygons are similar if their angles are the same and the ratios of their corresponding sides are proportional.
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find the values of x and y. the value of x is and the value of y is
$x = 10$, $y = 7.5$
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1. find the measures of the numbered angles. measure of ∠3: measure of …
measure of $\angle3$: $95^{\circ}$ measure of $\angle4$: $85^{\circ}$
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polygon qrsp ~ polygon uvwt. create a proportion that can be used to ca…
\(\frac{x}{25}=\frac{35}{15}\)
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polygon abcd - polygon efgh. which two statements are true about the si…
C. \(\angle A\cong\angle E\), D. \(CD\) corresponds with \(GH\)
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try it yourself. g. given a = 45°, a = x, b =?, b = 72.9, c =?, c = 89.…
\(a\approx64.2\)
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1 find the measures of the numbered angles. measure of ∠3: measure of ∠…
Measure of $\angle3$: $95^{\circ}$ Measure of $\angle4$: $85^{\circ}$
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if a 3 - foot yardstick casts a 21 - foot shadow, how tall is a buildin…
24 feet
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in the diagram below, nk = 10.7, lm = 27.3, and ln = 21.3. find the len…
$18.7$
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q23. how do you get the volume of the block below? * 215 440 100 215 x …
$215\times440\times100$
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find the x- and y-intercepts of the line. enter each answer as an order…
x - intercept: (3,0) y - intercept: (0,1.5)
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look at this graph: what are the coordinates of the vertex?
(0, 5)
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the area of a square garden is 134 square feet. what is the exact side …
$11.58$ pies
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look at this graph: what are the coordinates of the vertex?
(0,0)
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2. a student said that when x = 6, a || b. what error did the student l…
The student likely just substituted \(x = 6\) without using the correct angle - equality condition for parallel lines. The correct value of \(x\) for which \(a\parallel b\) is \(x…
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using algebra to solve word problems w/ perimeter - google slides examp…
$20$ square - centimeters
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find the perimeter. include the unit.
33 cm
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figure a is a scale drawing of an original figure. it was produced by u…
Multiply the dimensions of each part of Figure B by $\frac{3}{2}$ (or increase the side - lengths and distances between vertices of Figure B by a factor of $\frac{3}{2}$).
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gebra to solve word problems w/ perimeter - google slides example 2 the…
C. Length = 5 cm
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figure a is a scale drawing of an original figure. it was produced by u…
Scale each side - length of Figure B by a factor of $\frac{1}{3}$.
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using algebra to solve word problems w/ perimeter - google slides examp…
Distribute (open the parentheses).
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using algebra to solve word problems w/ perimeter - google slides adrie…
Let \(w\) be the width of the rectangle. The length \(L = 2w - 3\). The perimeter formula is \(P=2L + 2W\), and \(P = 18\). Substituting \(L\) into the perimeter formula gives \(1…
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1. match each figure with the statement that proves (ellparallel m). (a…
For ∠1≅∠4: Converse of the Alternate Exterior Angles Theorem For m∠3 + m∠5 = 180: Converse of the Corresponding Angles Theorem
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look at this graph: what is the equation of the axis of symmetry?
$x = 0$
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look at this graph: what is the y - intercept?
0