Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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sylvie has started a proof of the triangle angle sum theorem. which ans…
$m\angle1 + m\angle3 + m\angle2 = 180^{\circ}$ by the definition of a straight angle. Finally, $m\angle5 + m\angle3 + m\angle4 = 180^{\circ}$ by substitution.
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7. if p || q, m∠7 = 131°, and m∠16 = 88°, give the measure of each angl…
a. $m\angle1 = 131^{\circ}$ b. $m\angle2 = 49^{\circ}$ c. $m\angle3 = 131^{\circ}$ d. $m\angle4 = 49^{\circ}$ e. $m\angle5 = 131^{\circ}$ f. $m\angle6 = 49^{\circ}$ g. $m\angle8 =…
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9. $\frac{3}{10}$ cm $\frac{1}{2}$ cm
$\frac{3}{20}\text{ cm}^2$
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6. name each angle pair as corresponding, alternate interior, alternate…
a) Corresponding; $k$ b) Alt. Ext.; $m$ c) Adjacent; $l$ d) Corresponding; $m$ e) Adjacent; $j$ f) Alt. Int.; $l$
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how can you compare the numbers? use >, <, or =. 3. 155 〇 317 4. 690 〇 …
# Explicación: ## Paso1: Comparar 155 y 317 155 es menor que 317, entonces 155 < 317. ## Paso2: Comparar 690 y 609 690 es mayor que 609, entonces 690 > 609. ## Paso3: Comparar 298…
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youve found that 82° + 53° = 135°. now, what equation can you write if …
The third - angle is $45^{\circ}$ and the equation to find it is $82 + 53+x=180$.
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find the value of x. then find the measure of each labeled angle. x = 1…
\(x = 10\), the measure of the \(14x^{\circ}\) angle is \(140^{\circ}\), and the measure of the \(4x^{\circ}\) angle is \(40^{\circ}\)
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not quite. if the exterior angle is 98°, and the exterior and interior …
$82^{\circ}$
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7. it is given that the ratio of the lengths of the upper and lower bas…
7. \(\frac{5}{7}\) 8. A. \(AB = AD\) and \(AC = BD\)
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example 1 identify the angle pair as congruent or supplementary. give y…
# Explicación: ## Paso 1: Ángulos adyacentes suplementarios Los ángulos adyacentes en una recta recta suman 180°. Dado que \(m\angle1 = 65^{\circ}\), y \(\angle1\) y \(\angle2\) s…
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4 which of the following statements is true? a. a quadrilateral with eq…
D. A quadrilateral obtained by cutting two legs of an isosceles triangle with a line parallel to the base is an isosceles trapezoid. ### 5.
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solve for x in the triangle. round your answer to the nearest tenth.
$11.1$
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find m∠1 and m∠2 given that lines n and m are parallel. justify your an…
m∠1 = 65°, m∠2 = 65°
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find the value of y.
$y = 45$
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find the value of x in each figure. (1) (2) (3)
(1) \(x = 19\) (2) \(x = 9\) (3) \(x = 5\)
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4 traza líneas en las figuras a y b para separarlas en dos prismas rect…
# Explicación: ## Paso 1: Dividir la figura A en dos prismas rectangulares Podemos dividir la figura A en dos prismas rectangulares. Un primer prisma puede tener dimensiones 2 pul…
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the shape wxyz below is an isosceles trapezoid. what is the length of s…
7
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the shape mnop below is a rhombus. what is the length of side no? show …
$8$
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the circle below has center m. suppose that m kl = 122°. find the follo…
(a) $m\angle KML = 122^{\circ}$ (b) $m\angle KJL = 61^{\circ}$
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1. as shown in the figure, in a square abcd whose side length is 2, m i…
1. D. \(\sqrt{5}-1\) 2. D. A parallelogram with one angle being right angle is a square.
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part b: by degree the other type of circle graph is divided into 360 eq…
1. a) $45$, $45$ b) $90$, $90$, right - angle c) $180$, $180$ 2. a) North (N), East (E), South (S), West (W) b) $45$ c) Labeled as per compass - rose convention d) $90^{\circ}$ e)…
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triangle abc is located on three lines such that the vertices occur at …
Graph the lines as described above. The lines with slopes \(5\), \(\frac{3}{2}\) and \(-\frac{2}{3}\) will intersect pairwise to form \(\triangle A'B'C'\) because non - parallel l…
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the shape abcd below is a parallelogram. what is the length of side cd?…
$11$
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the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A\cong\angle Y$, $\angle B\cong\angle Z$, $\angle C\cong\angle X$ (b) $\overline{AB}\cong\overline{YZ}$, $\overline{AC}\cong\overline{YX}$, $\overline{BC}\cong\overlin…
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the shape mnop below is a rectangle. what is the length of side no? (no…
8
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6. given that the length of the median of a trapezoid is 8cm and the le…
6. 5 7. C. 12
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the shape mnop below is a square. what is the length of side op?
5
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the shape abcd below is an isosceles trapezoid. what is the measure of …
$99^{\circ}$
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: ray, How to write it: \(\overrightarrow{GH}\) (b) Type: line, How to write it: \(\overleftrightarrow{KJ}\) (c) Type: line segment, How to write it: \(\overline{ML}\)
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the shape mnop below is a rhombus. what is the measure of ∠o? (note tha…
$41^{\circ}$
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the shape w x y z below is a parallelogram. what is the measure of ∠w? …
\(137^{\circ}\)
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find the value of x.
$x = 48$
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value of x.
59
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (th…
$140^{\circ}$
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classify each figure as a line, ray, or line segment. then, show how to…
(a) Type: line; How to write it: $\overleftrightarrow{DC}$ (b) Type: line segment; How to write it: $\overline{FE}$ (c) Type: ray; How to write it: $\overrightarrow{AB}$
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complete the activities below: a. concept squares. read the terms in th…
1. In the first square: - Word that doesn't belong: referendum - Relationship of other words: They are about electoral district management. 2. In the second square: - Word that do…
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the shape w x y z below is a parallelogram. what is the measure of ∠y? …
$138^{\circ}$
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3) 2 cm 2 cm 10 cm l v = 40 cm cu
# Explicación: ## Paso 1: Identificar la fórmula del volumen El volumen $V$ de un prisma rectangular se calcula como $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el a…
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classify each figure as a line, ray, or line segment. then, show how to…
(a) line segment; $\overline{UT}$ (b) line; $\overleftrightarrow{QP}$ (c) ray; $\overrightarrow{RS}$
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write the coordinates of the vertices after a reflection over the x - a…
$E'(0,8)$ $F'(8,8)$ $G'(8,2)$ $H'(0,2)$
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volume of rectangular prism name: leryne date: october find the volume …
# Explicación: ## Paso1: Aplicar la fórmula del volumen La fórmula para el volumen $V$ de un prisma rectangular es $V = l\times w\times h$, donde $l$ es la longitud, $w$ es el anc…
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the shape mnop below is a parallelogram. what is the measure of ∠m? (no…
$32^{\circ}$
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3 if the perimeter of an isosceles trapezoid is 50cm and one of its leg…
3. \(13\) 4. \(11\) 5. D. \(26\mathrm{cm}\)
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (no…
$133^{\circ}$
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ejemplo un granjero quiere saber cuánto grano llenará el recipiente par…
# Explanation: ## Paso1: Hallar el volumen del prisma D Multiplicar las dimensiones del prisma D. Las dimensiones son 8 pies × 5 pies × 3 pies. El volumen del prisma D se calcula …
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1. as shown in the figure, in square abcd, ae = ab. line segment de int…
1. A. \(45^{\circ}\) 2. D. \(AC = BD\) and \(AC\perp BD\)
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volume of rectangular prism find the volume of a rectangular prism? l×w…
# Explicación: ## Paso 1: Identificar la fórmula La fórmula para el volumen de un prisma rectangular es $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el ancho y $H$ es…
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the shape wxyz below is a parallelogram. what is the measure of ∠x? (no…
133°
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name: lenyfer find the volume of a rectangular prism? 1) v = 4×3×9 v = …
# Explicación: ## Paso 1: Identificar la fórmula La fórmula para el volumen de un prisma rectangular es $V = L\times W\times H$, donde $L$ es la longitud, $W$ es el ancho y $H$ es…
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df and gi are parallel lines. which angles are alternate interior angle…
$\angle IHE$ and $\angle DEH$
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6 name each triangle based on its sides (equilateral, isosceles, or sca…
- Question 6: - First triangle: Isosceles, Acute - angled - Second triangle: Equilateral, Acute - angled - Third triangle: Scalene, Obtuse - angled - Question 7: d. 4 thousands, 8…
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10 which statement about the figure shown below is true? a) it has both…
d) It has both acute and obtuse angles
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↔ce and ↔fh are parallel lines. which angles are supplementary angles? …
\(\angle FGD\) and \(\angle EDG\)
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su and vx are parallel lines. which angles are vertical angles? ∠str an…
$\angle STR$ and $\angle UTW$
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rt and uw are parallel lines. which angles are vertical angles? ∠uvx an…
∠UVX and ∠WVS
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the length of a rectangle is 11 m less than three times the width, and …
Width: 7 m, Length: 10 m
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the area of a rectangle is 28 m², and the length of the rectangle is 1 …
Width: $3.5$ m, Length: $8$ m
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: -4 (b) x - intercept: -3
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the length of a rectangle is 5 yd less than twice the width, and the ar…
Width: \(5.5\) yd, Length: \(6\) yd
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: 1 (b) x - intercept: 2
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km and np are parallel lines. which angles are supplementary angles? ∠n…
∠NOQ and ∠NOL
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find the value of c.
$143$
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find the x - intercept and the y - intercept of the line below. click o…
(a) 1 (b) -4
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
$132$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$41$
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prove: pr = qs statements pq = rs pq + qr = rs + qr pq + qr = pr rs + q…
The proof is completed as above to show that $PR = QS$ using the given $PQ = RS$ and properties like Segment - Addition Postulate, substitution, and transitive property of equalit…
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look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarr…
$110$
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classify whether each pair of figures appears to be a rigid motion or n…
First pair: Rigid motion Second pair: Not a rigid motion Third pair: Rigid motion Fourth pair: Not a rigid motion
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6 name each triangle based on its sides (equilateral, isosceles, or sca…
7. d 8. d 9. 55933 10. d
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does the transformation appear to be a rigid motion? explain. choose th…
B. The transformation is a rigid motion because all corresponding angles and sides appear to be the same size.
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look at this diagram: if \\(\\overline{oq}\\) and \\(\\overline{rt}\\) …
$42$
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find the value of n.
$125$
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look at this diagram: if su and vx are parallel lines and m∠xwy = 134°,…
$134^{\circ}$
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timed problem score: 4/5 reflection over the x - axis of the point (-9,…
$(-9,-5)$
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timed problem score: 3/5 rotation 180° counterclockwise around the orig…
$(7,-5)$
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what is a reflection rule that maps the triangle and its image? the ref…
$r_t(x,y)=(-y,-x)$ where $t$ is the line $y = -x$
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graph the compound inequality. -7 < x < -2 plot the endpoints. select a…
Place open - circles at $x = - 7$ and $x=-2$ on the number line and draw a line segment between them.
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look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarr…
$110$
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timed problem score: 2/5 reflection over the y - axis of the point (8, …
A. $(-8,9)$
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a. concept squares. read the terms in the squares and circle the one th…
**A. First Square** 1. referendum 2. They are about electoral district management. **A. Second Square** 1. unicameral 2. They are about representative roles in a legislative syste…
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timed problem score: 1/5 reflection over the line y = x of the point (-…
$(6,-8)$
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timed problem score: 0/5 reflection over the line y = x of the point (2…
$(-7,2)$
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16. mathematical connections a triangle has a height of 2x + 6 and a ba…
$x^{2}+7x + 12$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$115$
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rotation 270° counterclockwise around the origin of the point (-9,5)
$(5,9)$
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given points j(2,4), a(4,6), and r(3,2). graph △jar and its reflection …
(Without seeing the actual details of the graphs, we can't pick a specific letter - but the correct graph should have the original triangle with given vertices and its reflection …
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timed problem score: 0/5 rotation 180° counterclockwise around the orig…
$(-5,-8)$
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what is a name for the marked angle? choose 1 answer: a ∠dca b ∠bca c ∠…
C. \(\angle BAC\)
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what is the image of the point (9, -7) after a rotation of 270° counter…
$(-7,-9)$
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what is the image of the point (-1,9) after a rotation of 180° counterc…
$(1,-9)$
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geometry (h) - 2, term1, term2 4 - 2: savvy adaptive practice find the …
\(x = 59\) \(y=60.5\)
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15. higher order thinking is it possible for the product of a monomial …
Yes, it is possible. If one of the terms in the trinomial is zero, the product of a monomial and a trinomial can be a binomial. ### 16.
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#5 rewrite the definition as a biconditional statement. two angles are …
Two angles are vertical angles if and only if their sides form two pairs of opposite rays.
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homework 1st 9 week directions: show your work for each problem. circle…
24819
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what is the image of the point (-2, 7) after a rotation of 180° counter…
$(2,-7)$
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directions: show your work for each problem. circle your 1 pt for each …
24819
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what is the image of the point (9, 8) after a rotation of 180° counterc…
$(-9,-8)$
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amaya is asked to find the side lengths of the triangle shown. what is …
The top left side is \(6\), the length of the bottom left side is \(6\), \(x = 5.5\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(8.6\)
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what is the length of the hypotenuse? if necessary, round to the neares…
34