几何
三角形、圆、解析几何与证明题。
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all isosceles triangles are equilateral. a. true b. false
B. False
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what the length of 11 and 12? 11. a(6, 8), b(-1, 8) 12. c(5, -6), d(5, …
11. 7 12. 12
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reflect the figure over the line y = -1. plot all of the points of the …
To reflect a point $(x,y)$ over the line $y = - 1$, we use the following rule: The $x$-coordinate remains the same, and the new $y$-coordinate is given by $y'=-1-(y + 1)=-y - 2$. …
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classify the following triangle. check all that apply. a. equilateral b…
A. Equilateral B. Acute D. Isosceles
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classify the following triangle. check all that apply. a. scalene b. is…
A. Scalene E. Right
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9. convert: $\frac{11pi}{30}$ into degrees. $\frac{11pi}{30}cdot\frac{1…
1. The angle $\frac{11\pi}{30}$ in degrees is $66^{\circ}$. 2. To graph $y = 2^{x - 3}+1$: - The horizontal asymptote is $y = 1$. - The point $(3,2)$ lies on the graph. - As $x$ i…
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isosceles triangles can be acute or obtuse. a. true b. false
A. True
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consider the lines graphed in the coordinate plane. which lines are per…
Line \(p\) and line \(r\)
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all equilateral triangles are acute and isosceles. a. true b. false
A. True
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in the figure, lines a and b are intersected by line t. which of these …
$\angle1$ and $\angle3$ are supplementary
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which transformation would take figure a to figure b? answer a counterc…
A counterclockwise rotation of 90° about the origin
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classify the following triangle as acute, obtuse, or right. a. acute b.…
C. Right
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which of the following are valid names for the given triangle? check al…
A. $\triangle LMZ$, C. $\triangle MLZ$, E. $\triangle ZML$
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which statement describes two skew lines? they do not intersect and the…
They do not intersect and do not lie on the same plane.
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which transformation would take figure a to figure b? answer a reflecti…
A. A reflection over the line $y = x$
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question 8 of 10 classify the following triangle as acute, obtuse, or r…
C. Obtuse
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9. alfred wants to make a doll house that is a copy of his own house. t…
$\frac{16}{45}\text{ m}\approx0.36\text{ m}$
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question which transformation would take figure a to figure b? answer a…
A. A reflection over the x - axis
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which is the best definition of a triangle? a. a figure formed by three…
A. A figure formed by three segments connecting three noncollinear points
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use the information to answer the question. the area of a circle is 144…
C. 24 m
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what are the vertices of △pqr? a. p, q, and r b. $overline{pq}$, $overl…
A. \(P, Q, \text{and }R\)
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question which transformation would take figure a to figure b? answer a…
A clockwise rotation of 90° about the origin
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9. the elmore bank had just put in a new safe and vault. mr. adams was …
1. he, Jimmy 2. her, Annabel 3. their, Annabel's family 4. her, Agatha 5. it, the suitcase
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quadrilateral abcd is a kite with an area of 80 square inches. the leng…
C. 10 in.
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which transformation would take figure a to figure b? answer a clockwis…
A. A clockwise rotation of 180° about the origin
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question 5 of 10 ∠c is opposite______. a. ∠c b. (overline{bc}) c. (over…
C. \(\overline{AB}\)
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use the net to find the surface area of the cube. 12 m 12 m 12 m 12 m 1…
C. $864$ m²
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question 4 of 10 \\(\\overline{ab}\\) is included between a. \\(\\angle…
A. $\angle A$ and $\angle B$
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multiple choice question a cube, a pyramid, and a circle are examples o…
C. geometric
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in δhik, hj is a median. what is the length of (overline{hi})? a 12 b 3…
C. 13
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which of the following are valid names for the triangle below? check al…
D. \(\triangle DMR\), E. \(\triangle MRD\)
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what is the image of (0, -3) after a dilation by a scale factor of $\fr…
$(0, - 1)$
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2. given directed line - segment (overline{qs}), find the coordinates o…
For problem 2: After identifying \(Q\) and \(S\) coordinates and substituting into \(x_R=\frac{3x_2+5x_1}{8}\), \(y_R=\frac{3y_2+5y_1}{8}\), get the coordinates of \(R\). For prob…
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question what is the image of (-1, -1) after a dilation by a scale fact…
$(-5,-5)$
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
$63$
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11. these two angles are: supplementary complementary angle x = 12. the…
11. Angle \(x = 95^{\circ}\) 12. Angle \(x = 58^{\circ}\) 13. \(\angle3 = 90^{\circ}\) 14. \(\angle8 = 137^{\circ}\) 15. \(\angle4 = 34^{\circ}\)
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question what is the image of (0, -9) after a dilation by a scale facto…
$(0, - 3)$
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6. the slope of a hill is an average of 0.64. how many metres will it r…
6. 20.48 m 7. $\frac{143}{1200}\approx0.119$ 8. Slope of roof: 0.4; Slope of diagonal trusses: 0.4
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question \\(\\overline{pq}\\) is dilated by a scale factor of 4 to form…
48
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the segment below is the image of $overline{wx}$ after dilation by a sc…
27
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value: 8 match the type of center to the segments used to it. a. median…
1. a. Medians 2. c. Angle Bisectors 3. d. Altitudes 4. b. Perpendicular Bisectors
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a figure containing ∠cde is dilated by a scale factor of 5 to form a ne…
$119$
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for exercises 6 - 9, find the coordinates of each point described in re…
8. \((\frac{10}{3},\frac{8}{3})\) 9. \((\frac{10}{3},\frac{8}{3})\)
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solve for the value of e. (8e - 6)° (7e + 6)°
$e = 12$
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for example, a third - person plural pronoun must refer to a third - pe…
1. Circle "him", arrow to "Jimmy Valentine". 2. Circle "it", no clear - cut arrow (unclear antecedent); circle "He", arrow to "Jimmy". 3. Circle "you", arrow to "Valentine" (Jimmy…
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the figure on the right is a scaled copy of the figure on the left. ans…
1. The side that corresponds to segment $KL$ is $WX$. 2. Scale - factor: $\frac{1}{3}$
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if c lies between a and b on $overline{ab}$, then $ac + cb = ab$. choos…
C. $AB = 10.7$
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in the law of syllogism, suppose p → q and q → r are true, where p is “…
true
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solve for the value of a. (8a + 6)° 52°
$a = 4$
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select the correct equation and correct answer to solve for x using the…
a. $2(2x - 15)=2x - 8$ e. 11
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determine whether the hypothesis of each given conditional is true from…
No, No
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value: 2 true or false? in the triangle below, side $overline{lm}$ is p…
False
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which triangle is similar to △pqr? (triangles are not drawn to scale)
A. The triangle with side - lengths 13, 15, 11.
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what conclusion can you draw from the following statements? • if a figu…
C. If a figure is a square, then it is not a triangle.
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what equation would you set up to solve for x? o a. x + 20 = x + 28 o b…
B. $2(x + 20)=x + 28$
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if (mangle a) is less than 90, then (angle a) is an acute angle. the me…
A. ∠A is acute.
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the sides of a triangle measure 7.9 cm, 15.5 cm, and 14.8 cm. the angle…
D. 30°
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the figure on the right is a scaled copy of the figure on the left. ans…
1. Side corresponding to segment $VZ$: $FE$ 2. Scale - factor: 3
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solve for x. options: a. 10 b. 12 c. 3 d. 8
A. 10
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consider these statements. 1. line / is parallel to line m. 2. if two l…
D. Line $l$ does not intersect line $m$.
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find tv. a. 6 b. 24 c. 12 d. 48
B. 24
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a rectangular paper - board measuring 34 in long and 22 in wide has a s…
$124.54$ in
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directions: find the missing endpoint if s is the mid - point rt. 10. r…
$T(13,-6)$
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find the circumference of the figure if each unit on the graph measures…
$12.6$ cm
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the area of the parallelogram below is 280 m². what is its height? (not…
B. 14 m
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the figure on the right is a scaled copy of the figure on the left. ans…
1. The side in the figure on the right that corresponds to segment $GJ$ is $BD$. 2. The scale factor: - First, count the vertical and horizontal lengths of corresponding sides. Fo…
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value: 2 find uv. g u h v 16 a. 8 b. 16 c. 32 d. 4
A. 8
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the figure on the right is a scaled copy of the figure on the left. ans…
1. The side in the figure on the right that corresponds to segment $KM$ is $UV$. 2. The scale - factor: - Let's assume the length of $KM$ can be found using the distance formula o…
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find tr s e f 11 t r a. 5.5 b. 11 c. 22 d. 33
C. 22
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find the perimeter of the figure if each unit on the graph measures 1 c…
11.3 cm
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{3}{2}$
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if angle three is equal to 6x + 16 and angle seven is equal to 2x + 2, …
C. - 4
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question 9 which angle is not congruent to ∠4? o ∠2 o ∠6 o ∠8 o ∠7
D. $\angle7$
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in the figure, (mangle1=(2x)^{circ}) and (mangle2=(x + 78)^{circ}). (a)…
(a) $2x+(x + 78)=180$ (b) $m\angle1 = 68^{\circ}$ $m\angle2 = 112^{\circ}$
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in the figure, the angles are formed by a transversal and two parallel …
A. ∠1 ≅ ∠4 ≅ ∠5 ≅ ∠8; ∠2 ≅ ∠3 ≅ ∠6 ≅ ∠7
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which of the angles in the figure are supplementary to ∠5? o ∠6 only o …
∠6 and ∠7 only
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in the figure below, (mangle1=(x - 18)^{circ}) and (mangle2 = 8x^{circ}…
$m\angle1 = 4^{\circ}$ $m\angle2 = 176^{\circ}$
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in the figure, line e || line f. which statement is true? o ∠2≅∠7 o lin…
C. $m\angle3 = 70^{\circ}$
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you are given the coordinates of a triangle and coordinates for only on…
Find the translation vector from the given vertex - image pair and apply it to the other two vertices of the triangle.
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11. these two angles are: supplementary ____ complementary ____ angle x…
11. Supplementary; 95° 12. Complementary; 58° 13. 90 14. 137 15. 34
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the perimeter of the isosceles triangle below is 48. what equation woul…
C. $x + 22+x + 22+10 = 48$
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which of the angles in the figure are supplementary to angle 4? o ∠1,∠4…
B. $\angle3$ and $\angle1$
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which of the angles in the figure are supplementary to ∠3? ∠2 ∠1,∠4,∠5 …
B. $\angle1,\angle4,\angle5$ and $\angle8$
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which is the graph of the step function f(x)? f(x) = \\begin{cases}-1, …
The graph consists of a horizontal line \(y=-1\) for \(x < - 1\) (open - circle at \(x=-1\)), a horizontal line \(y = 0\) for \(-1\leq x\leq1\) (closed - circles at \(x=-1\) and \…
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question 3 if line m || line n and ∠2 measures 47°, what is the measure…
D. $47^{\circ}$
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given the figure below, find the value. (8x + 37)° (5x + 64)° z° x = z =
$x = 9$ $z = 71$
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the image of trapezoid abcd has coordinates a(-2, -5), b(-1, -2), c(2, …
Based on the calculated pre - image coordinates $A(-1,-2),B(0,1),C(3,1),D(4,-2)$, you would need to match these with the given diagrams to select the correct one. Since the diagra…
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the perimeter of the equilateral triangle below is 75. solve for the va…
B. 5
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if angle four is equal to 4x - 6, and angle 6 is equal to 2x - 12, solv…
A. - 3
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if line m || line n and ∠2 measures 35°, what is the measure of ∠5? 155…
C. $145^{\circ}$
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find the value of x. (mangle2=x + 85) a. -12 b. -6 c. 7 d. 11
A. -12
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randy draws triangle abc on the coordinate plane with vertices a(7, -4)…
$T_{-2,-5}(x,y)$
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15. line segment bd bisects ∠abc. what is the value of x? x =
$x = 6$
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in the figure below, (mangle4 = 77^{circ}). find (mangle1), (mangle2), …
$m\angle1 = 103^{\circ}$ $m\angle2 = 77^{\circ}$ $m\angle3 = 103^{\circ}$
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if line m || line n and ∠2 measures 35°, what is the measure of ∠5? o 5…
C. $145^{\circ}$
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which of the angles in the figure are supplementary to ∠3? o ∠2 o ∠2,∠7…
C. $\angle1,\angle4,\angle5$ and $\angle8$
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find the value of x. x + 3 12 a. -12 b. -9 c. 15 d. 9
D. 9
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in the figure, line e || line f. which statement is true? o line f ⊥ li…
B. $m\angle3 = 70^{\circ}$
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li transformed rectangle abcd. the image is shown. does lis transformat…
No, the image does not have the same orientation.
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in the figure below, (mangle jkm = 81^{circ}), (mangle nkm = 28^{circ})…
$25$