幾何
三角形、圓、解析幾何與證明題。
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a square pyramid has a base with side lengths each measuring 40 inches.…
D. 3,920 square inches
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the angle by which $overline{ab}$ turns clockwise about point $b$ to co…
$63.9$; $116.1$
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solve the inequality and graph the solution. (\frac{k}{3}-19 > - 18). p…
$k > 3$; Graph: Open - circle at 3, shade to the right on the number - line.
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9. how do you write the converse of a conditional statement? a) negate …
9. b) Reverse the hypothesis and conclusion 10. b) Converse 11. d) inverse 12. b) contrapositive 13. c) Inverse 14. a) Contrapositive
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recall that perimeter measures the distance around a plane figure, and …
Perimeter of rectangle $(2L + 2W)=12$ Area of rectangle $(LW)=7.31$
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a volleyball of radius 13 inches fits exactly in a cylinder with the sa…
4,599 in.$^{3}$
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the area of the circular base of a cylinder is 36π square units. the he…
B. $24\pi$ square units
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select the correct answer. if each point in the diagram can act as an e…
D. six
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a cylinder has a radius of 2.8 inches and a height of 2.4 inches. which…
The second cylinder (radius 1.4 in and height 1.2 in) is similar.
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find the area of the rectangle shown 8\\frac{3}{4} ft 5\\frac{1}{2} ft …
\(48\frac{1}{8}\) square feet
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17. which point on a number line is of the distance between - 12 and 8?…
**Question 17**: -3 **Question 18a**: (Sketch not provided in text - should show angle DMF with ray MG bisecting it, labeled with given angle measures) **Question 18b**: 12 **Ques…
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a sports company wants to package a ball with a 1.5 - inch radius in se…
The cylinder because it has approximately 11.6 in³ less wasted space than the prism.
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18. ∠dmf is bisected by (overline{mg}) where (mangle dmg=(4x)^{circ}) a…
1. First, since $\overrightarrow{MF}$ bisects $\angle DMG$, we know that $m\angle DMF=m\angle FMG$. So, $4x = 2x + 24$. 2. Solve the equation $4x=2x + 24$ for $x$: - Subtract $2x$…
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the large sphere has a diameter of 12 feet. what is the volume of the s…
A. $252\pi\ ft^{3}$
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the circular base of a cone has a radius of 5 centimeters. the height o…
$283$ $cm^{2}$
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topic 1: points, lines & planes use the diagram to the right to answer …
1. $J$, $L$ 2. Line $JL$ 3. $K$ 4. $N$
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a package is in the shape of a triangular prism. the bases are right tr…
468 square centimeters
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an 8 inch by 6 inch rectangle is the base of the rectangular prism belo…
140 square inches
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16. triangle xyz is an equilateral triangle. if the measure of its angl…
$60^{\circ}$
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which expression represents the volume, in cubic units, of the composit…
$\pi(5^{2})(13)+\frac{1}{3}\pi(5^{2})(12)$
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two triangular prisms are similar. the perimeter of each face of one pr…
The surface area of the larger prism is 4 times the surface area of the smaller prism.
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unit 1 test study guide (geometry basics) name: heziah sallom date: 9/2…
1. H, I 2. Line HI 3. Point J 4. Point N 9. 29 10. 51 11. 97 12. 38 16. 5 18. (-4,-1)
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side length. what is the lateral area of the prism? 12x square inches 1…
36x square inches
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what is the volume of the composite figure? express the answer in terms…
C. $312\pi$ mm³
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question 10 of 10 which set of values could be the side lengths of a 30…
C. $\{4,4\sqrt{3},8\}$
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the diagram shows a dilation with scale factor 2. point p is the center…
Parallel
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select the correct answer. according to the ruler postulate, what does …
A. real numbers
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question 1 of 10 what is the length of the altitude of the equilateral …
F. 6
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question 8 of 10 a certain triangle has a 30° angle and a 60° angle. wh…
C. The longest side is twice as long as the shortest side.
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13. $overline{hd}$ is the perpendicular bisector of $overline{ky}$. poi…
a. $y = 5$ b. $DK = 52$
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which triangle is congruent to △abc?
B.
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question 7 of 10 the diagonal of a tv is 26 inches long. assuming that …
A. 13 inches by $13\sqrt{3}$ inches
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in the figure below, abc and def are similar triangles with the given s…
c. 11
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question 6 of 10 which of the following could be the ratio of the lengt…
C. $2\sqrt{3}:4$, F. $\sqrt{3}:2$
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abcd. what is the measure of ∠c? a. 120° b. 115° c. 105° d. 100° e. 80°
A. $120^{\circ}$
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find the midpoint of $overline{ab}$ if $a$ is at $(-3,8)$ and $b$ is at…
(-5, 1)
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question 5 of 10 which of the following are true statements about a 30 …
C. The hypotenuse is twice as long as the shorter leg., E. The longer leg is $\sqrt{3}$ times as long as the shorter leg.
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examining lines in three dimensions. planes m and n intersect at line d…
b and e, e and c, a and c
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question 4 of 10 in the 30 - 60 - 90 triangle below, side s has a lengt…
B. $\sqrt{3};2$
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question 3 of 10 which of the following could be the ratio between the …
D. $\sqrt{3}:3$, E. $1:\sqrt{3}$, F. $3:3\sqrt{3}$
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10. line segments mk and ks are shown. what is the scale factor can be …
10. Scale - factor is 2. 13. y = 5
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in the diagram below, △wxy is an equilateral triangle and xz ⊥ wy. whic…
B. $WX = 2\cdot WZ$
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8. if s is the mid - point of rt, rs = 5x + 17, and st = 8x - 31, find …
Since S is the mid - point of RT, then RS = ST. Set 5x + 17=8x - 31. Solve for x: 3x = 48, so x = 16. RS = 5x+17 = 5×16 + 17=97.
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items 1 - 3 refer to the graph shown. 1. what is the midpoint of ab? 2.…
1. Sin coordenadas de \(A\) y \(B\), no se puede calcular. Fórmula: \(M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\) 2. Sin coordenadas de \(A\) y \(B\), no se puede calcular. Fórmu…
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do now the m∠6 = 82° find the measure of all the other numbered angles
$m\angle1 = 98^{\circ}$, $m\angle2 = 82^{\circ}$, $m\angle3 = 98^{\circ}$, $m\angle4 = 82^{\circ}$, $m\angle5 = 98^{\circ}$, $m\angle7 = 98^{\circ}$, $m\angle8 = 82^{\circ}$
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try it! 1. which angle pairs include the named angle? a. ∠4 enter your …
The angle pairs that include $\angle4$ are: $\angle4$ and $\angle2$ (vertical angles), $\angle4$ and $\angle1$ (adjacent angles), $\angle4$ and $\angle3$ (adjacent angles), $\angl…
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question 10 of 10 a right triangle with two congruent legs is always a …
A. True
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question 9 of 10 a 12 - foot ladder is leaning against a building. the …
B. $6\sqrt{2}$ feet
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what is the length of the hypotenuse of the triangle below? a. 1 b. 6√2…
C. 6
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question 7 of 10 what is the length of side s of the square shown below…
F. $\sqrt{2}$
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identify the pairs of angles of each angle type made by the snowmobile …
Corresponding Angles: Without the actual figure, we can't list specific pairs, but they would be angles like ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 if we label the angles form…
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7. plot points a (-2, 3) and b (10, 6) on the coordinate plane. locate …
Let \(A(-2,3)\) and \(B(10,6)\). The coordinates of point \(C\) which is \(\frac{1}{3}\) of the way from \(A\) to \(B\) are \((2,4)\)
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question 6 of 10 what is the length of the hypotenuse of the triangle b…
B. 10
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a certain triangle has two 45° angles. what type of triangle is it? a. …
A. Right isosceles
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midpoint and distance items 1 - 3 refer to the graph shown. 1. what is …
1. (-2.5, -0.5) 2. 7.62 3. (-1.75, 1.25)
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question 4 of 10 which is a true statement about a 45 - 45 - 90 triangl…
D. The hypotenuse is $\sqrt{2}$ times as long as either leg.
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what is the length of leg s of the triangle below? a. 4.2 b. 1 c. 2 d. …
E. 8
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what is the length of each leg of the triangle below? a. $sqrt{32}$ b. …
C. $16\sqrt{2}$
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question 1 of 10 what is the length of leg s of the triangle below? a. …
B. 6
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question 10 of 10 what is the value of x in the figure below? in this d…
D. $\frac{25}{4}$
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question 9 of 10 based only on the information given in the diagram, it…
A. True
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question 8 of 10 in right triangle △efg, m∠e = 25°. in right triangle △…
C. AA
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question 6 of 10 based only on the information given in the diagram, it…
A. True
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question 5 of 10 what is the value of x in the figure below? in this di…
E. $\sqrt{30}$
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question 4 of 10 what is the value of h in the figure below? in this di…
C. 12
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9.) ∠efg=(3x + 2)° and ∠gfh=(11x - 38)°. if ∠efg and ∠gfh are complemen…
# Explicación: ## Paso 1: Definir la relación de ángulos complementarios Dos ángulos complementarios suman 90°. Entonces, $\angle EFG+\angle GFH = 90^{\circ}$. Sustituimos los val…
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8.) ∠wxy=(6x - 3)° and ∠yxz=(x + 22)°. if ∠wxy and ∠yxz form a linear p…
\(\angle WXY = 135^{\circ}\), \(\angle YXZ = 45^{\circ}\)
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if a point b, is drawn on a line segment ac, then ac is the sum of ab a…
4. Transitive 5. m∠JKL = 81° 7. Transitive 8. Angle - Addition Postulate
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triangle tuv was dilated to create triangle tuv using point a as the ce…
$\frac{2}{3}$
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the perimeter of δabc is 13 cm. it was dilated to create δabc. what is …
39 cm
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line segment xy is dilated to create line segment xy using point t as t…
15 units
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in questions 1 - 3, determine if each of the following represents a def…
1. Theorem 2. Definition 3. Postulate 4. Transitive 5. $\angle JKL\cong\angle JKL$ 7. $81^{\circ}=m\angle XYZ$ 8. $m\angle JKL = m\angle DNF$, Substitution Property
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dilation $d_{v,\frac{2}{5}}$ was performed on a rectangle. how does the…
The image is a reduction because $0 < n < 1$. The side lengths of the image are two - fifths the size of the corresponding side lengths of the pre - image. The base of the image i…
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7.) if ∠jml = 118°, find ∠kml. * 1 point
# Explicación paso a paso: ## Paso 1: Establecer la ecuación Sabemos que $\angle{JML}=\angle{KML}+\angle{KMJ}$. Entonces, $118=(11x - 8)+7x$. ## Paso 2: Simplificar la ecuación Co…
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applying the perpendicular bisector theorem. what is the length of segm…
12
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line segment ab is dilated to create line segment ab using point q as t…
1.25
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question 3 of 10 what is the length of $overline{cd}$? in this diagram,…
B. 5
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complete the table with the reason that makes the given statement true.…
EF = 4. Therefore, EF ≅ AB. m∠CAB = 90°. Therefore, ∠CAB ≅ ∠FED. No, the triangles are not congruent. While two pairs of corresponding parts are congruent, we don't have enough in…
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triangle abc was dilated using the rule d_{o,4}. triangle abc is the re…
3 units
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solve the inequality and graph the solution. -5k - 8 < 2. plot the endp…
The solution of the inequality is k > - 2. On the number - line, there is an open circle at - 2 and an arrow pointing to the right.
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the scale factor of the dilation of segment hg is $\frac{1}{6}$. if pg …
3 units
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7. write the conclusion for the statement. if m∠qrs + m∠lmn = 223° and …
EF = 4. Therefore, $\overline{EF}\cong\overline{AB}$. $m\angle CAB = 96^{\circ}$. Therefore, $\angle CAB\cong\angle FED$. No, the triangles are not congruent. While $\angle CAB\co…
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17. two statements are given. use these statements to form a biconditio…
Two angles are complementary if and only if their measures add up to 90 degrees.
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rectangle wxyz was dilated using the rule d_z,\\frac{12}{5}. what is wx…
12 units
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solve the inequality and graph the solution. 5 + 5v > - 5. plot the end…
The solution of the inequality is $v > - 2$. On the number - line, there is an open circle at - 2 and a ray extending to the right.
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choosing the right word u1 \i hate group projects!\ wailed bri, o one e…
collaborates
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7. write the conclusion for the statement and name the property. if m∠q…
7. $m\angle QRS + m\angle LMN=m\angle GHI$; Transitive property of equality 8. Given 9. Definition of congruent angles 10. $EF = 4$. Therefore, $EF\cong4$. $m\angle CAB = 96^{\cir…
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mrs. brooks geometry unit 1 vocabulary for each term below, add a defin…
| TERM | PICTURE | |--|--| | Point | $\bullet$ | | Line | $\overrightarrow{AB}$ (where A and B are points on the line and the arrow - heads indicate infinite extension) | | Plane …
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solve the inequality and graph the solution. 7 + 4m > -5 plot the endpo…
The solution of the inequality is $m>-3$. On the number - line, we place an open circle at $-3$ and draw a ray to the right.
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ansel looked at the dish before him: salmon with dried herbs and splotc…
He changes from being skeptical of the dish to being impressed by the meal.
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question 1 of 10 ryan places a mirror on the ground 42 feet from the ba…
C. 36 feet
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what is the area of a circular region whose diameter is 6 centimeters? …
D. $9\pi$ square cm
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question 10 of 10 based only on the given information, it is guaranteed…
A. True
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question 9 of 10 what is the distance from point y to (overleftrightarr…
A. $15\sqrt{2}$
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a. a nonagon has 27 diagonals. b. a 15 - gon has 90 diagonals. c. a 13 …
65
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question 8 of 10 what is the distance from point n to lm in the figure …
D. 6.8
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a. a nonagon has 27 diagonals. b. a 15 - gon has diagonals.
90
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what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 s…
C. 6 square m
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question 7 of 10 based only on the given information, it is guaranteed …
A. True
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given: c is a point on the perpendicular bisector, l, of ab. prove: ac …
AC = BC because reflections preserve length. The first blank can be filled with "CD" (the segment drawn from C to the mid - point of AB), the second blank with "reflection", the t…