Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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consider the two figures. which rule maps figure 1 onto figure 2? (x,y)…
\((x,y)\to(x + 7,y - 5)\)
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8. name the ray opposite to (overrightarrow{lp})
We need more information about the figure and the position of points to accurately determine the ray opposite to $\overrightarrow{LP}$. As it stands, we cannot choose from the giv…
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what of the following statements describes a zero slope? check all that…
The line is horizontal., The rise is zero.
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select all the pairs of corresponding angles. ∠ihj and ∠dec ∠ihe and ∠d…
$\angle IHJ$ and $\angle DEC$, $\angle IHE$ and $\angle DEH$, $\angle FEH$ and $\angle IHE$, $\angle DEH$ and $\angle GHJ$
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5. if the legs of a right triangle are 5 units and 12 units, what is th…
d. 13 units
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which transformation carries point h(1, 4) to point k(-4, -1)? a counte…
a counterclockwise rotation of 270° about the origin
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which angles are corresponding angles? ∠wxu and ∠yxu ∠vux and ∠wxz ∠vux…
$\angle VUX$ and $\angle YXZ$
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4. which of the following is not a right - triangle? a. a triangle with…
d. A triangle with angles 60°, 60°, and 60°
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graph this function. f(x)=\begin{cases}x - 4&\text{if }xleq4\\\frac{1}{…
The graph consists of a line \(y = x - 4\) for \(x\leq4\) with endpoints \((0,-4)\) and \((4,0)\) (closed - circle at \((4,0)\)) and a line \(y=\frac{1}{2}x - 6\) for \(x>4\) with…
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choose the term that has the given definition. term definition select b…
1. Collinear 2. Coplanar 3. Perpendicular 4. Congruent
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which angles are alternate exterior angles? ∠qpn and ∠rsu ∠qps and ∠opn…
∠QPS and ∠RSU
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directions: drag the correct answers to the appropriate boxes. select t…
Vertical Angles: 1 and 3 Adjacent Angles: 4 and 3 Supplementary Angles: 3 and 2 Complementary Angles: 3 and 4
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select all the pairs of alternate exterior angles. ∠nmj and ∠nmo ∠nmo a…
$\angle NMO$ and $\angle IJH$, $\angle NMO$ and $\angle KJM$, $\angle LMJ$ and $\angle NMO$
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which angles are adjacent angles? ∠noq and ∠poq ∠noq and ∠klo ∠noq and …
∠NOQ and ∠POQ
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3. the pythagorean theorem can be used to calculate: a. the volume of a…
d. The length of the diagonal in a rectangle
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select all the pairs of consecutive interior angles.
$\angle RSP$ and $\angle OPS$, $\angle QPS$ and $\angle TSP$
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choose the term that has the given definition. term definition select a…
1. Angle 2. Line - segment 3. Parallel lines 4. Circle
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which angles are corresponding angles? ∠rsv and ∠tsq ∠rsv and ∠rsq ∠rsv…
∠RSV and ∠UVX
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select all the pairs of supplementary angles. ∠ijm and ∠kjh ∠kjm and ∠i…
∠KJM and ∠IJM, ∠NMJ and ∠NMO
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2. a triangle has legs of 8 and 15 units. what is the hypotenuse? a. 18…
d. 17 units
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select all the pairs of supplementary angles. ∠pol and ∠nol ∠nol and ∠n…
∠POL and ∠NOL, ∠NOL and ∠NOQ, ∠MLJ and ∠MLO, ∠NOQ and ∠POQ
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which angles are supplementary angles? ∠yxu and ∠tux ∠yxu and ∠wxu ∠yxu…
$\angle YXU$ and $\angle WXU$
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choose the term that has the given definition. term definition select h…
1. Congruent 2. Angle 3. Coplanar 4. Parallel lines
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1. the dimensions of a rectangular prism are 8 in, 15 in, and 20 in. wh…
C. 26.25 in
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given $overline{ed}congoverline{db}$, which statements about the figure…
$\overline{EB}$ is a segment bisector.
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which angles are adjacent angles? ∠onl and ∠mnq ∠onl and ∠onq ∠onl and …
$\angle ONL$ and $\angle ONQ$
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select all the pairs of corresponding angles. ∠efd and ∠hif ∠hik and ∠e…
∠EFD and ∠HIF, ∠HIK and ∠EFI, ∠JIK and ∠GFI, ∠GFD and ∠JIF
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which angles are vertical angles? ∠rqt and ∠rqo ∠utq and ∠rqt ∠pqt and …
$\angle PQT$ and $\angle RQO$
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eg and hj are parallel lines. which angles are adjacent angles? ∠gfd an…
∠GFD and ∠EFD
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np and qs are parallel lines. which angles are alternate interior angle…
$\angle POR$ and $\angle QRO$
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question. type the correct answer in the boxes provided. find the measu…
\(m\angle a = 20\) degrees \(m\angle b = 20\) degrees \(m\angle c = 110\) degrees \(m\angle d = 110\) degrees \(m\angle e = 70\) degrees
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which angles are vertical angles? ∠onq and ∠pqn ∠onq and ∠pqs ∠onq and …
$\angle ONQ$ and $\angle MNL$
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np and qs are parallel lines. which angles are adjacent angles? ∠qro an…
$\angle QRO$ and $\angle SRO$
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ln and oq are parallel lines. which angles are alternate interior angle…
$\angle NMP$ and $\angle QPM$
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if two angles are supplementary and adjacent, what kind of angle will t…
straight angle
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tv and wy are parallel lines. which angles are alternate interior angle…
$\angle WXU$ and $\angle VUX$
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pr and su are parallel lines. which angles are alternate interior angle…
$\angle PQT$ and $\angle UTQ$
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solve for x. (6x + 12)° (10x - 8)° x =
$5$
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which is a way to name angle abc?
B. \(\angle CBA\)
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in the figure below, points m, p, h, j, and k lie in plane z. points l …
(a) $L$ (no other distinct points on the line with $N$ and $L$ in the given figure) (b) $M$, $P$, $J$ (answers may vary) (c) $\overleftrightarrow{HK}$ (answers may vary) (d) $MPH$…
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step 1: $a^{2}+b^{2}=c^{2}$ step 2: $a^{2}+15^{2}=17^{2}$ step 3: $a^{2…
$a = 9$
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which angles are adjacent angles? ∠ghk and ∠jkh ∠jkh and ∠lkh ∠ihk and …
$\angle{JKH}$ and $\angle{LKH}$
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use the diagram at the right. solve for x. find the angle measures to c…
\(m\lt BOA\)
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5. where do plane m and (overrightarrow{de}) intersect? point d point b…
Point B
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graph this function. f(x)=\begin{cases}2x + 4& \text{if }-5leq xleq1\\-…
The graph consists of a line segment $y = 2x+4$ from $(-5,-6)$ (closed - circle) to $(1,6)$ (closed - circle) and a line segment $y=-x + 7$ from $(1,6)$ (open - circle) to $(5,2)$…
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solve for c # 3 set up an equation that can be used to solve for the mi…
$c\approx7.5$
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solve for c # 3 set up an equation that can be used to solve for the mi…
\(c\approx7.5\)
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which angles are alternate interior angles? ∠ihk and ∠jkm ∠ghk and ∠lkh…
$\angle GHK$ and $\angle LKH$
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the point q lies on the segment $overline{pr}$. find the coordinates of…
\((6,-3)\)
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which angles are corresponding angles? ∠lmk and ∠lmp ∠nmp and ∠opm ∠nmk…
∠NMK and ∠QPM
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what is the volume of this sphere? round your answer to the nearest hun…
$9198.59$ $cm^{3}$
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which angles are corresponding angles? ∠rsp and ∠tsp ∠tsu and ∠rsu ∠rsp…
$\angle RSP$ and $\angle OPN$
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the point n lies on the segment $overline{mp}$. find the coordinates of…
$(18,8)$
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which theorem helps in finding the unknown side length of a right trian…
1. b. Pythagorean Theorem 2. c. 7 units
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the point n lies on the segment mp. find the coordinates of n so that m…
$(-20,16)$
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lines ef and gh and ray jk intersect at point j. for each of the angles…
The angles with measures: two angles of $67^{\circ}$, two angles of $113^{\circ}$, and four angles of $90^{\circ}$ should be placed in the drawing according to the vertical - angl…
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which angles are supplementary angles? ∠lmp and ∠lmk ∠opm and ∠lmk ∠lmk…
None of the above (assuming we are looking for a linear - pair supplementary angle pair) If we assume the question is about vertical - angle pairs (which are equal and not supplem…
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write an equation that can be used to solve for x. solve for x. if nece…
Equation for \(x\): \(x^{2}+10^{2}=y^{2}\) Equation for \(y\): \(y^{2}=x^{2}+100\)
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which of the following scenarios can be solved using the pythagorean th…
1. A. Determining the length of a ladder needed to reach a certain height 2. B. The square of the hypotenuse equals the sum of the squares of the legs.
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the point n lies on the segment mp. find the coordinates of n so that m…
$(-7,-8)$
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\\( overrightarrow{gi} \\) and \\( overrightarrow{jl} \\) are parallel …
$\angle IHK$ and $\angle IHF$
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lines ab, cd, and ef intersect at point g. for each of the angles witho…
$\angle CGA = 90^{\circ}$, $\angle EGB=75^{\circ}$, $\angle DGB = 105^{\circ}$
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the midpoint of $overline{ab}$ is $m = (-4, -2)$. one endpoint is $a = …
$(-1,-6)$
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solve for a # 3 set up an equation that can be used to solve for the mi…
Equation: $a^{2}+10^{2}=14^{2}$ $a\approx9.8$
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what is the length of the missing leg in a right triangle if the hypote…
1. a. 5 units 2. d. 8 units
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su and vx are parallel lines. which angles are vertical angles? ∠xwy an…
$\angle XWY$ and $\angle UTW$
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eg and hj are parallel lines. which angles are alternate interior angle…
$\angle EFI$ and $\angle JIF$
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ik and ln are parallel lines. which angles are alternate interior angle…
$\angle KJM$ and $\angle LMJ$
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if the hypotenuse of a right triangle is 10 units and one leg is 6 unit…
1. d. 8 units 2. c. 2
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rt and uw are parallel lines. which angles are adjacent angles? ∠uvx an…
$\angle UVX$ and $\angle WVS$
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exercise 3 sentence completion directions. for each of the following it…
21. C. forte... anecdote 22. C. climactic 23. E. prodigy 24. D. anecdotally 25. D. fidelity... anecdotes 26. D. anecdotes 27. A. an epilogue 28. D. hypochondriac... stanch 29. E. …
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the midpoint of $overline{cd}$ is $m = (-4,0)$. one endpoint is $c = (-…
$(0,-2)$
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find the distance between the two points. a(7, -2) and b(6, -3) √2 √26 …
$\sqrt{2}$
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the midpoint of $overline{ab}$ is $m=(3, - 1)$. one endpoint is $a=(8, …
$(-2,3)$
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given m is the midpoint of cd, find the coordinates of the other endpoi…
$(2,-1)$
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given line l is the segment bisector of qr, find the o 2x + 6 m 5x - 9 r
32
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david had a tile that was an equilateral triangle. each angle of the tr…
The sum of the measures of the angles in a triangle is 180° and the three angles are congruent.
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step 1: $a^{2}+b^{2}=c^{2}$ step 2: $a^{2}+15^{2}=17^{2}$ step 3: $a^{2…
$a = 9$
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austin está construyendo un cobertizo basándose en planos que encontró …
C. 36 pulgadas de ancho por 18 pulgadas de alto
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what sign or symbol communicates to roadway users that a vehicle is con…
1. B. Orange reflective triangle 2. B. Use a horn, C. Flash head lights, E. Rev the engine 3. B. Follow the move-over law, C. Move over and allow them to pass, E. Stay 500 feet aw…
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(6x - 36)° 120°
$x = 26$
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stacey has a square piece of cloth. she cuts 3 inches off of the length…
C. 6 in.
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3. using the figure below solve for m∠lik. m∠jil = 20x - 10 m∠lik = 8x …
$20^{\circ}$
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2. line k bisects line segment ac at point b. if ab = 6x - 2 and bc = 2…
28
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what is the distance from the origin to point p graphed on the complex …
$\sqrt{29}$
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find the measure of the missing angles. answer d = ° e = ° f = ° submit…
d = 153° e = 131° f = 49°
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answer x = ° y = ° submit answer
$x = 56$ $y = 124$
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graph the set {x | x < 2} on the number line. then, write the set using…
On the number - line: Open circle at 2, shade to the left. Interval notation: $(-\infty,2)$
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show all work and annotations for full credit. #1.) find the area and p…
1. - Triangle: Area = 10 square feet, Perimeter $\approx15.4$ feet - First rectangle: Area = 14 square feet, Perimeter = 18 feet - Second rectangle: Area = 21 square feet, Perimet…
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a worker will fill a large rectangular box with smaller boxes of candle…
72
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look at the diagram. which equation can be used to solve for x? 3x - 41…
# Explicación: ## Paso1: Identificar la relación de ángulos Observando el diagrama, vemos que el ángulo de $119^{\circ}$ es la suma de los ángulos de $(3x)^{\circ}$ y $41^{\circ}$…
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look at the diagram. which equation can be used to solve for x? 39x = 9…
# Explicación: ## Paso 1: Observar el ángulo recto El ángulo $\angle FGO$ es un ángulo recto de $90^{\circ}$. Los ángulos $\angle FGE = 36^{\circ}$ y $\angle EGO=3x^{\circ}$ forma…
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which are properties of rotations? check all that apply. rotations are …
Rotations preserve size. Rotations of 360° map a figure to itself. Lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal l…
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la base de un triángulo mide 6 pulgadas de largo y su altura es de 5 pu…
# Explicación: ## Paso1: Recordar la fórmula del área del triángulo La fórmula es $A=\frac{1}{2}\times b\times h$, donde $b$ es la base y $h$ es la altura. ## Paso2: Sustituir val…
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*#4.) write the equation of the perpendicular bisector of the line ab g…
$y = 2x+6$
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find the area of the shape. (sides meet at right angles.) 3 cm 2 cm 2 c…
$18$ $cm^2$
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what is m∠pqr? (3x - 6)° (x + 2)°
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos adyacentes Los ángulos $(3x - 6)^{\circ}$ y $(x + 2)^{\circ}$ son adyacentes y forman un ángulo recto (suponiendo que la …
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**#1.) in the figure below, $overline{ad}$ is the angle bisector of $an…
1. \(m\angle DAC = 36^{\circ}\) 2. \(m\angle NKM = 83^{\circ}\) 3. \(m\angle DCF = 14^{\circ}\)
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c is the midpoint of bd. if bc = 3x and cd = x + 4, what is cd? simplif…
# Explicación: ## Paso 1: Aplicar la definición de punto medio Como C es el punto medio de BD, entonces BC = CD. Dado que BC = 3x y CD = x + 4, se establece la ecuación 3x=x + 4. …
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vertical/adjacent/complementary angles (algebraic) score: 4/5 penalty: …
$k = 30$