Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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aob forms a straight angle, m∠aod=(3x - 12)°, and m∠bod = x°, find the …
$m\angle AOB = 180^{\circ}$ $m\angle AOD = 132^{\circ}$ $m\angle BOD = 48^{\circ}$
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determine whether a triangle with the given side lengths is a right tri…
(a) Not a right triangle (b) Not a right triangle (c) Right triangle (d) Not a right triangle
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Not a right triangle (c) Not a right triangle (d) Right triangle
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given: ∠1 and ∠2 are supplements, ∠3 and ∠4 are supplements, and ∠1≅∠4.…
| Statements | Reasons | |--|--| | $m\angle1 + m\angle2 = 180$ | $\angle1$ and $\angle2$ are supp. | | $m\angle3 + m\angle4 = 180$ | $\angle3$ and $\angle4$ are supp. | | $\angle1…
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the base of a 14 - foot ladder is 2 feet from a building. if the ladder…
The height of the building is $8\sqrt{3}$ ft. The height of the building is approximately $13.9$ ft.
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∠4 and ∠5 are complements, and ∠1 and ∠5 are complements. by the congru…
$\angle1$
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read the passage. when gary was seven years old, he learned to sew. he …
| | Gary | Mary | |--|--|--| | Mean | No | Yes, teased Gary | | Embarrassed | Yes, when teased | No | | Artistic | Yes, in fashion design | Yes, in photography | | Determined | Ye…
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in the figure below, the measure of ∠4 = 90°, the measure of ∠5 = 56°, …
$34$
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in the figure below, the measure of ∠4 = 90°, the measure of ∠5 = 56°, …
$m\angle1 = 90^{\circ}$, $m\angle2 = 34^{\circ}$
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items 2 - 3. points p, q, and s are collinear.
$x = 4$
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10.2 what’s the same? draw each rigid transformation in a different col…
1. (Draw the translated Figure S along v in a chosen color) 2. (Draw the reflected Figure S across line y in a different color) 3. (Draw the reflected Figure S across line m in a …
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(a) use the names of the sets to label the regions of the venn - diagra…
(a) Innermost circle: Whole numbers; Middle circle: Integers; Outermost circle: Rational numbers (b) 1. False 2. True 3. False 4. False
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read the passage. when gary was seven years old, he learned to sew. he …
| | Gary | Mary | |--|--|--| | Hobbies/Interests | Sewing, fashion design | Photography (initially suggested as a hobby for Gary) | | Initial Attitude | Passionate about fashion -…
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in the figure below, the measure of ∠4 = 90°, the measure of ∠5 = 56°, …
$m\angle1 = 56^{\circ}$, $m\angle2=34^{\circ}$, $m\angle3 = 90^{\circ}$
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items 2 - 3. points p, q, and s are collinear. 2. what is m∠pqr? 3. if …
$m\angle PQR = 132^{\circ}$ Para el problema 3:
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use the following drawing for the following questions. be sure to use t…
# Explicación: ## Paso 1: Puntos colineales Los puntos colineales son aquellos que se encuentran en la misma línea recta. Observando el dibujo, los puntos A, B y C están en la mis…
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rewrite the sentence in passive voice without changing the meaning. the…
was motivated
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31. solve the equation below. 2 - 4a = 18 32. solve the equation below.…
\(a = - 4\) ### 32. Solve the equation \(12-\frac{1}{9}n = 17\)
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starting from city a, a car drives 250 miles east to city b, then 300 m…
$150\sqrt{13}\approx540.83$ miles
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write the segment addition statement: find: ab = __________ units a b c…
# Explicación: ## Paso 1: Aplicar el postulado de adición de segmentos Según el postulado de adición de segmentos, $AC = AB+BC$. Entonces, $(9x + 7)+(-3x + 20)=39$. ## Paso 2: Sim…
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six equilateral triangles are connected to create a regular hexagon. th…
A. \(6(4a^{2}-3)\)
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find the midpoint of the line segment joining the points (-2, -3) and (…
$(-5,5.5)$
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find the midpoint of the line segment joining the points (7,1) and (-5,…
$(1,0)$
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question 1 (1 point) a rectangle has a length that is 3 more than twice…
D. $2(w)+2(2w + 3)=96$
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the rectangle on the right is a scaled copy of the rectangle on the lef…
\(\frac{1}{3}\)
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triangle def is similar to triangle lmn. which proportion can be used t…
C. $\frac{12}{6}=\frac{6.5}{DF}$
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use the graph of △ fgh to answer the question. if △ fgh is rotated 180°…
# Explicación: ## Paso 1: Identificar coordenadas de F Las coordenadas de F en el triángulo original son (1, 3). ## Paso 2: Aplicar regla de rotación de 180° La regla para rotar u…
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use the formula and the diagram to answer the question. the volume of a…
# Explicación: ## Paso 1: Calcular el área de la base La base es un rectángulo con longitudes 8 m y 2 m. El área de un rectángulo se calcula como $B = l\times w$, donde $l = 8$ m …
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find the midpoint of the line segment joining points a and b. a(6, - 5)…
$(4,-1)$
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10. in the diagram at the right, the dimensions of the large rectangle …
D. $7x^{2}+13x - 7$
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use the map shown below to find the distance between cities a and b to …
7.2
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find the distance d(a,b) between points a and b. a(6, - 3); b(6,3) d(a,…
$6$
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this diagram was constructed with straightedge and compass tools. a is …
The other intersection point of the two circles is labeled as $E$ on the diagram.
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calculating angle measures. what is the value of y? y =. find the follo…
$y = 10$ $m\angle{JKM}=106$ $m\angle{MKL}=74$
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the formula for the volume, v, of a pyramid is v = \\frac{1}{3}bh, wher…
# Explicación: ## Paso 1: Calcular el área de la base La base es un rectángulo, entonces $B = l\times w$, donde $l = 9$ m y $w = 8$ m. Así, $B=9\times8 = 72$ m². ## Paso 2: Calcul…
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find the midpoint of the line segment with the endpoints a and b. a(2,8…
$(3,9)$
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what is the midpoint of $overline{ab}$?
\((-4,-0.5)\)
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9. write the segment addition statement: bc = __________ units a 17 b 4…
25
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solve and graph the compound inequality. 2x + 1 ≤ 7 and -2x + 1 ≤ 9
The correct graph is the one with a closed circle at \(x=-4\), a closed circle at \(x = 3\), and the line segment between them. Without seeing the specific options clearly labeled…
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a. what kind of angle do central street and spring street make? b. vale…
$90^{\circ}$
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2. clare used a compass to make a circle with radius the same length as…
Neither of the given options is true.
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the circumference of a circle is $c = pi d$. what is the approximate ci…
C. 47.1 ft
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here are two scale drawings of the hagia sophia in istanbul, turkey. wh…
5
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the midpoint of $overline{st}$ is $m=(3,5)$. one endpoint is $s=(5,8)$.…
$(1,2)$
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the midpoint of $overline{ab}$ is $m=(3,0)$. one endpoint is $a=(7, - 6…
$B=(-1,6)$
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b. valerie is driving down spring street heading east. she takes a left…
Right - angle
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here are two scale drawings of the hagia sophia in istanbul, turkey. wh…
5
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8. ______ a tick mark indicates line segments are of equal length and c…
8. T 9. T 10. T 11. T
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5. roads central street runs north - south and spring street runs east …
Right angle
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write a two - column proof. given: m∠gfi = 143°. prove: m∠efi = 36°. st…
# Explanation: ## Step1: Identify angle - addition relationship By the Angle Addition Postulate, if we have two adjacent angles $\angle GFE$ and $\angle EFI$ that together form $\…
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3. stars melinda wants to know the angle of elevation of a star above t…
The angle of elevation is 70°. It is an acute angle.
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find the measures of the labeled angles. (x + 99)° 4x° (x + 99)° = 133°…
$(x + 90)^{\circ}=120^{\circ}$ $4x^{\circ}=120^{\circ}$
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4. cake nick has a slice of cake. he wants to cut it in half, bisecting…
$23^{\circ}$
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find the measures of the labeled angles. (x + 99)° 4x° (x + 99)° = □° (…
$132$
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find the midpoint m of the line segment joining the points c = (4, - 4)…
$(1,0)$
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in the diagram, △fgh ~ △pqr. what is the approximate length of $overlin…
B. 4.45 cm
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2. squares a square has four right - angle corners. give an example of …
Rectangle
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which pair of angles is complementary?
The pair of angles 56° and 34° is complementary.
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△fgh is similar to △pqr. what is the length of (overline{pr})? a. 3 cm …
# Explicación: ## Paso 1: Encontrar la razón de semejanza Dado que $\triangle FGH$ es similar a $\triangle PQR$, la razón de semejanza se obtiene dividiendo los lados correspondie…
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in the figure below, b is between a and c, and c is between b and d. if…
$13$
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what is the length of ad? a: 3 units b: 4 units c: 5 units d: 6 units e…
A. 3 unidades
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2. squares a square has four right - angle corners. give an example of …
Rectangle ### 3.
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in the figure below, g is between e and h, and f is the midpoint of $ov…
10
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show what you know 1.09 aaliyah is making a scale drawing of a rectangu…
a. 1 centimeter to 5 meters b. 10 cm long and 5 cm wide
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a reflection of △qrs across line n results in △tvu. what is the measure…
D. $66^{\circ}$
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in the figure below, b is between a and c, and c is between b and d. if…
4
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the perimeter of a scalene triangle is 14.5 cm. the longest side is twi…
Since the longest side \(2a = 6.2\) cm, then \(a=3.1\) cm. The perimeter of the triangle is \(14.5\) cm. Let the third - side be \(b\). The perimeter of a triangle is the sum of t…
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the point k is the mid - point of jl. find the location of l.
17
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the perimeter of a scalene triangle is 145 cm. the longest side is twic…
The correct answer is \(62 + b = 145\)
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the point b is the midpoint of $overline{ac}$. find the location of a.
$-15$
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geometry hon - garcia (lms) 2 - tteacher_s_parallel lines_p8 (lms grade…
B. $m\angle1 + m\angle3 = 180$ because they form a straight angle C. $\angle3\cong\angle6$ because they are alternate interior angles D. $\angle1$ and $\angle6$ are supplementary …
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triangle abc is similar to triangle def. which proportion can be used t…
B. $\frac{1.5}{DE}=\frac{1.1}{3.3}$
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show what you know aaliyah is making a scale drawing of a rectangular s…
a. New scale: 1 centimeter to 5 meters b. Length of scale - drawing: 10 cm, Width of scale - drawing: 5 cm For the Hagia Sophia problem, assuming simple visual proportion and the …
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kat is painting the edge of a triangular stage prop with reflective ora…
40 feet
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find the indicated segment length. show work. 7. x = jm = units mk = un…
$x = 8$ $JM = 59$ units $MK = 59$ units
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passage vi the artful stitch of paj ntaub she depicts flowers with laye…
41. C. mazes that she creates— 42. G. centuries - old 43. B. Kept, because it places the subject of the essay in a modern context. 44. G. after the word made.
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find the measures of angle whose measure is 62° and alternate interior …
m∠1 = 62° m∠2 = 118° m∠3 = 118° m∠4 = 62°
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given triangle ghi with sides gh = 4 cm, hi = 6 cm, and gi = 8 cm, what…
1. b. JKL must have sides JK = 4 cm, KL = 6 cm, and JL = 8 cm. 2. c. Their corresponding sides and angles are equal. 3. b. AB = 3, BC = 5, AC = 6
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lines m and n are parallel. find the measures of angles x, y, and z in …
$m\angle x = 36^{\circ}$ $m\angle y = 36^{\circ}$ $m\angle z = 144^{\circ}$
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which of the following side lengths could not form a triangle congruent…
1. d. 3 cm, 4 cm, 6 cm 2. c. Both their side lengths and corresponding angles are equal. 3. b. All three pairs of corresponding sides must be equal.
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if triangle mno and triangle pqr are congruent by sss criterion, and mn…
1. b. 4 2. a. 6 cm, 7 cm, 10 cm 3. b. They are equal
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lines m and n are parallel. find the measures of angles x, y, and z in …
$m\angle x = 77^{\circ}$ $m\angle y = 77^{\circ}$ $m\angle z = 103^{\circ}$
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a. find the area of the garden a = 72 ft² b. zucchini plants require 9 …
You can plant 288 heads of lettuce and 8 zucchini plants.
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the proof that △efg ≅ △jhg is shown. given: g is the midpoint of hf, ef…
$\angle GFE\cong\angle GHJ$
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linear equations and inequalities graphing a linear inequality on the n…
On the number line, place a closed - circle at 0 and draw a line extending to the right.
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you are growing zucchini plants in your garden. in the figure, the enti…
a. \(72\) b. \(8\)
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which of these triangle pairs can be mapped to each other using both a …
The pair of triangles where the triangles are congruent and can be re - positioned to match each other through a translation followed by a rotation about \(C\) (the specific pair …
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if vx = wz = 40 cm and m∠zvx = m∠xwz = 22°, can δvzx and δwxz be proven…
A. Yes, along with the given information, $\overline{ZX}\cong\overline{ZX}$ by the reflexive property.
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asa congruence requires that the two angles and the included side of on…
1. equal (congruent) 2. two triangles 3. congruent 4. geometry 5. SAS
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a. use the diagram. find the areas of square efgh and square ejkl. area…
Area of EFGH = 4 square units Area of EJKL = 16 square units b. The area is quadrupled because when the side length becomes 2s, the area becomes $(2s)^2=4s^2$
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find the perimeter of rectangle bcef. round your answer to the nearest …
$16.97$
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find the area of the polygon with the given vertices. w(0, 0), x(0, 3),…
9
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two rigid transformations are used to map δhjk to δlmn. the first is a …
a rotation about point H
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how can a translation and a rotation be used to map △hjk to △lmn? trans…
Translate K to N and rotate about K until $\overline{HK}$ lies on the line containing $\overline{LN}$.
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find the area of the polygon with the given vertices. e(3, 1), f(3, -2)…
$7.5$
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1) draw the circle given by $x^{2}+y^{2}=4$ in the interactive graph.
The circle is centered at the origin $(0,0)$ with a radius of 2, passing through the points $(2,0),(-2,0),(0,2),(0, - 2)$.
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the criterion that states two triangles are congruent if two angles and…
1. ASA 2. included side 3. 70 4. side 5. congruent 6. True 7. given
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in the diagram, $overline{kl}congoverline{nr}$ and $overline{jl}congove…
$\angle L\cong\angle R$
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11. higher order thinking using what you know about angle pairs formed …
$\angle1+\angle3 = 180^{\circ}$ and $\angle2+\angle4 = 180^{\circ}$ because they are pairs of same - side interior angles formed by parallel lines and transversals in the trapezoi…
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9. in right △abc with right angle at c, the legs are 9 and 12. find the…
# Explicación: ## Paso1: Aplicar el teorema de Pitágoras El teorema de Pitágoras establece que en un triángulo rectángulo $a^{2}+b^{2}=c^{2}$, donde $a$ y $b$ son los catetos y $c…