Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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pentagon quadrilateral (rectangle) triangle (right) triangle (acute) qu…
Triangle (Right)
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what is the slope of this line? (0, 8) (16, 12) simplify your answer an…
$\frac{1}{4}$
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what is the slope of this line? simplify your answer and write it as a …
$0$
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numeric 1 point find the value of x m∠a=(9x + 29)°, m∠b=(93 - 5x)°, and…
4
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what is the slope of this line? simplify your answer and write it as a …
$\frac{3}{2}$
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multiple choice 1 point list the sides in order from smallest to greate…
AB,BC,AC
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what is the slope of this line? simplify your answer and write it as a …
1
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find the measure of ∠a given the measure of ∠b = 170° and the measure o…
$116$
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list the angles of △abc from the smallest to the largest. \\(\\overline…
A. C,B,A
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{4}$
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multiple choice 1 point the measures of two sides are given. between wh…
23 and 118 (Note: Although the correct lower - bound is 24, among the given options, the option with the closest lower - bound and the correct upper - bound is "23 and 118")
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find the measure of ∠a given the measure of ∠b = 49° in the figure belo…
$131$
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what is the slope of this line? (1, 2) (3, 6) simplify your answer and …
2
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8 multiple choice 1 point name the largest and the smallest angle. j s …
G and H
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what is the slope of this line? (0, 5) (5, 1) simplify your answer and …
$-\frac{4}{5}$
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the measures of two sides are given. between what two numbers must the …
1. C. 6 and 24 2. B. 3 and 13
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3 multiple choice 1 point decide whether each set of numbers is a trian…
3. B. No 4. B. No
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1 multiple choice 1 point decide whether each set of numbers is a trian…
1. A. Yes 2. B. No
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what is the slope of this line? (-6, -8) (2, 8) simplify your answer an…
$2$
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what is the slope of this line? (-4, 1) (4, -1) simplify your answer an…
$-\frac{1}{4}$
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find the measure of ∠x given y = 18 and the figure below. ∠x = 45 × ° s…
$36$
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what is the slope of this line? simplify your answer and write it as a …
$-\frac{2}{5}$
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find x given y = 20° from the figure below. x = °
\(20\)
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what is the slope of this line? 1/2 -1/2 0 undefined (2,4) (6,6)
$\frac{1}{2}$
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the perimeter of a triangle is 45 ft. one side of the triangle is 2 ft …
13 15 17
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what is the slope of this line? (-5, -1) (-5, -3) $\frac{2}{5}$ $-\frac…
undefined
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card 12 triangle rst is dilated using a scale factor of 1/4 to create t…
The side - length corresponding to the $1.6$ cm side in the dilated triangle in the original triangle is $6.4$ cm. The side - length corresponding to the $2.1$ cm side in the dila…
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card 11 a choose a center of dilation and label it point p. b dilate tr…
a. Center of dilation $P=(0,0)$ (choice can vary, here we choose the origin). b. Dilate each vertex of $\triangle FGH$ using the formula $(x',y') = (\frac{1}{2}x,\frac{1}{2}y)$ wh…
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2. vt is a perpendicular bisector of triangle xyz. what is the total le…
# Explicación: ## Paso 1: Definición de bisector perpendicular Un bisector perpendicular divide un segmento en dos partes iguales. Dado que VT es el bisector perpendicular de XY, …
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question 3 (1 point) in the diagram, (mangle bda = 144^{circ}). find (m…
d. $82^{\circ}$
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find the length of the third side. if necessary, round to the nearest t…
$5.8$
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question 4 (1 point) tell whether ∠fac and ∠3 are only adjacent, adjace…
B. adjacent and form a linear pair
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find the length of the third side. if necessary, round to the nearest t…
$5.8$
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find the length of the third side. if necessary, round to the nearest t…
3.5
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find the length of the third side. if necessary, round to the nearest t…
$7.6$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$115$
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question 7 (1 point) find m∠bdc (-3x + 20)° (-2x + 55)° d a a 75° b 25°…
c. $29^{\circ}$ ### Question 8
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look at this diagram: if rt and uw are parallel lines and m∠wvx = 134°,…
$134$
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look at this diagram: if oq and rt are parallel lines and m∠tsu = 46°, …
$46$
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question 7 (1 point) find m∠bdc question 8 (1 point) tell whether ∠1 an…
# Explanation: ## Step1: Use linear - pair property Since $\angle BDC$ and $\angle CDA$ form a linear - pair, their sum is $180^{\circ}$. So, $(-3x + 20)+(-2x + 55)=180$. ## Step2…
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look at this diagram: if ce and fh are parallel lines and m∠cdb = 67°, …
$67$
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look at this diagram: if jk and ln are parallel lines and m∠j m = 111°,…
$111$
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$116$
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look at this diagram: if df and gi are parallel lines and m∠feh = 111°,…
$111$
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question 9 (1 point) the tip of a pendulum at rest sits at point b. dur…
C. \(\angle AOB,\angle COB,\angle AOC\) ### Question 10
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look at this diagram: if jl and mo are parallel lines and m∠onp = 46°, …
$46$
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the midpoint of ab is m(1,0). if the coordinates of a are (6,7), what a…
$(-4,-7)$
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dilate triangle hij using (-7, -7) as the center of dilation and a scal…
Use the formula \((x,y)\to(4x + 21,4y + 21)\) to find the new vertices of the dilated triangle, where \((x,y)\) are the original vertices and \((4x + 21,4y + 21)\) are the vertice…
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question 11 (1 point) name all pairs of vertical angles. question 12 (1…
A. \(\angle JLK\) and \(\angle MLN\); \(\angle JLM\) and \(\angle KLN\) ### Question 12
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look at this diagram: if tv and wy are parallel lines and m∠tus = 117°,…
$117$
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look at this diagram: if df and gi are parallel lines and m∠ghe = 125°,…
$125$
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question 13 (7 points) match each vocabulary term with its definition. …
Question 13: 1. g 2. f 3. b 4. d 5. a 6. e 7. c Question 14: a. \(\angle EQT\) b. \(\angle 8\) c. \(\angle TQE\)
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part a: kira found the area of the deck by decomposing the polygon. dec…
312 ft²
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question 16 (1 point) \\(m\\angle ijk = 57^{circ}\\) and \\(m\\angle il…
C. $m\angle LJK = 37^{\circ}$
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which angles are vertical angles? ∠wvx and ∠wvs ∠uvx and ∠rsq ∠uvx and …
$\angle RSQ$ and $\angle WVX$
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isaac says that the shaded part of the figure represents $\frac{1}{2}$ …
No, because the shaded and unshaded parts do not have equal areas.
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jl and mo are parallel lines. which angles are corresponding angles? ∠j…
$\angle{JKN}$ and $\angle{MNP}$
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match each vocabulary term with its definition. column a 1. two angles …
1. e. adjacent angles 2. f. complementary angles 3. b. supplementary angles 4. a. angle bisector 5. d. linear pair 6. c. congruent angles
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a axel started to dilate figure abcd using (0, 0) as the center of dila…
a. The scale factor is 2. b. Plot points A'(-4,6), B'(6,0), C'(2,-2), D'(-4,-4) to form figure A'B'C'D'.
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part a: kira found the area of the deck by decomposing the polygon. dec…
# Explicación: ## Paso 1: Dividir la figura Dividimos la figura en dos triángulos congruentes y un rectángulo. El rectángulo tiene una base de 12 ft y una longitud que necesitamos…
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jl and mo are parallel lines. which angles are adjacent angles? ∠onp an…
$\angle ONP$ and $\angle ONK$
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pr and su are parallel lines. which angles are corresponding angles? ∠s…
$\angle STQ$ and $\angle PQT$
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graph the image of △rst after a reflection over the x - axis.
Plot the triangle with vertices obtained by changing the sign of the $y - coordinates$ of the vertices of $\triangle RST$.
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gi and jl are parallel lines. which angles are alternate interior angle…
\(\angle IHK\) and \(\angle JKH\)
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consider the conditional statement: if two parallel lines are cut by a …
If two lines are cut by a transversal such that the corresponding angles are congruent, then the two lines are parallel.
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consider the conditional statement: if two parallel lines are cut by a …
# Explanation: ## Step1: Recall converse statement rule The converse of a[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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fh and ik are parallel lines. which angles are adjacent angles? ∠hge an…
$\angle HGE$ and $\angle FGE$
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part a: kira found the area of the deck by decomposing the polygon. dec…
# Explanation: ## Paso 1: Dividir la figura Dividimos la figura en un rectángulo y dos triángulos congruentes. El rectángulo tiene base $b_{rect}=26 - 2x$ (donde $x$ es la base de…
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fh and ik are parallel lines. which angles are vertical angles? ∠ijl an…
$\angle IJL$ and $\angle KJG$
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question the midpoint of ab is m(0, - 3). if the coordinates of a are (…
\((-1,-8)\)
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ce and fh are parallel lines. which angles are supplementary angles? ∠f…
∠FGD and ∠FGI
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the midpoint of $overline{ab}$ is $m(1,3)$. if the coordinates of $a$ a…
$(-1,5)$
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find the midpoint of the segment with the following endpoints. (10, 4) …
$(7,7)$
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find the midpoint of the segment with the following endpoints. (7, 9) a…
$(4,7)$
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find the midpoint of the segment with the following endpoints. (2, 7) a…
$(-2,3)$
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the dot plots represent the distributions of values in data sets a and …
A. I only
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question point m is on line segment ln. given mn = 3x, ln = 4x + 9, and…
11
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point v is on line segment uw. given vw = 5x - 4, uv = 2x, and uw = 5x,…
6
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point j is on line segment ik. given jk = 5 and ij = 10, determine the …
15
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kira hires a contractor to build a new deck in her backyard. the first …
252 pies cuadrados
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question point x is on line segment wy. given wy = 16 and wx = 10, dete…
6
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point h is on line segment (overline{gi}). given (hi = 3) and (gi = 10)…
7
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km and np are parallel lines. which angles are vertical angles? ∠poq an…
$\angle POQ$ and $\angle NOL$
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point b partitions ac in the ratio 1:3. what are the coordinates of c? …
\((-\frac{3}{2},0)\)
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directions: complete the following question. show or explain your reaso…
# Explicación: ## Paso 1: Calcular el área de los triángulos Los triángulos tienen base $b = 3$ pies y altura $h = 4$ pies. El área de un triángulo se calcula con $A_{triángulo}=\…
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question name the figure below in two different ways.
Ray VH, Ray VJ
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question name the figure below in two different ways.
Line \(JV\), Line \(JH\)
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proving and applying the sas and sss congruence criteria 1. in the figu…
1. D. a rotation followed by a translation 2. B. SAS Triangle Congruence Theorem 3. C. $\overline{AB}\cong\overline{DE}$ 4. A. One angle and two sides of one triangle are congruen…
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part 7 of 8. write an indirect proof for the following conditional abou…
The indirect proof shows that if $\angle EFG$ and $\angle HFJ$ are vertical angles, then $x eq3y$.
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in 5 and 6, find the area of each polygon in square units. 5. 6. 7. the…
# Explanation: ## Paso 1: Encontrar el área del polígono en el problema 5 Dividimos el polígono en un rectángulo y un triángulo. El rectángulo tiene lados de 2 y 4 unidades, y el …
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write an indirect proof for the following conditional about the figure.…
\(4y = 5y\)
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follow the steps to find the surface area of the square prism. what is …
$48$ cm²
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write an indirect proof for the following conditional about the figure.…
\(x + y=2x - y\)
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follow the steps to find the surface area of the square prism. what is …
$18$ $cm^{2}$
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find m∠p. the diagram is not to scale. answer attempt 1 out of 2 74° 64…
\(106^{\circ}\)
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in 5 and 6, find the area of each polygon in square units. 5. 6. 7. the…
# Explanation: ## Paso 1: Dividir la figura en formas conocidas Para la figura 3, se puede dividir en dos rectángulos. Uno con dimensiones 12 cm de ancho y 3 cm de alto, y otro co…
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write an indirect proof for the following conditional about the figure.…
$x = 3y$
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in 1 - 4, find the area of each polygon or shaded region. 1. 10 ft 2. 1…
# Explanation: ## Paso 1: Analizar el primer polígono El primer polígono se compone de un rectángulo y un triángulo. El área del rectángulo es $A_{rectángulo}=l\times w$, donde $l…
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find the measure of the missing angles. answer b = c =
$b = 146^{\circ}$, $c = 34^{\circ}$
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choose the 2d shape created from the cross section. circle square trian…
Circle