Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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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) 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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this diagram was constructed with straightedge and compass tools. a is …
C. \(CE = AD\)
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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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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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the circumference of a circle is $c = pi d$. what is the approximate ci…
C. 47.1 ft
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finding angles measures find the following angle measures. m∠ead = m∠ca…
$m\angle EAD = 61^{\circ}$ $m\angle CAB = 119^{\circ}$
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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 $overline{cd}$ is $m=(1, 3)$. one endpoint is $c=(-1, 7…
$(3,-1)$
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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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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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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…
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given that △pqr≅△xyz by asa, which of the following pairs of angles are…
d. \(\angle R\) and \(\angle Z\) d. It allows for a simple proof of congruence with only two angles and one side a. \(XY\) and \(AB\)
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here is a hexagon with all congruent angles and all congruent sides cal…
It is difficult to draw an exact copy of the regular hexagon using only a pen. The copy may have sides of unequal length and angles that are not congruent to the original hexagon'…
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10. communicate and justify write a two - column proof of the alternate…
The two - column proof: | Statements | Reasons | |--|--| | 1. $m\parallel n$ | Given | | 2. $\angle1\cong\angle3$ | Vertical angles are congruent | | 3. $\angle3\cong\angle2$ | Co…
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if two triangles are congruent by asa, what must be true about their co…
1. c. Their corresponding angles and sides are congruent 2. a. It ensures the angles form a unique triangle 3. b. To make sure the triangle is unique and congruent
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name all the angles that have v as a vertex. 13) 14) 15) 16) 17) 18) 19…
13) \(\angle HVJ\), \(\angle HV I\), \(\angle IVJ\) 14) \(\angle DV E\), \(\angle DV F\), \(\angle EV F\) 15) \(\angle RV S\), \(\angle RV T\), \(\angle SV T\) 16) \(\angle DV E\)…
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if two triangles are congruent by asa, what does this mean for the two …
1. c. They are congruent in both shape and size 2. a. \(\angle B\) is congruent to \(\angle E\) 3. d. ASA Congruence Postulate