几何
三角形、圆、解析几何与证明题。
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vito has an 8 - inch by 10 - inch piece of cardstock. he cuts it in the…
52 square inches
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what is the surface area of the rectangular prism? 184 in.² 174 in.² 43…
$348$ in²
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encuentra la longitud de $overline{cl}$ $overline{cl}=$ $overline{ah}=$
$\overline{CL}=7$ $\overline{AH}=7$
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pentagon abcde is rotated 90° counterclockwise about the origin to form…
4
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what is the midpoint of the segment shown below? (-8, -7) (-7, -8) a. (…
C. $(-\frac{15}{2},-\frac{15}{2})$
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what is the surface area of a cube with an edge length of 8 inches? 288…
C. $384$ in.$^{2}$
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question 19 of 22. the perimeter of a square box is 112 inches; if the …
14
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the focus, (0, - 2), and directrix, x = 6, of a parabola are graphed be…
$x=-\frac{1}{12}(y + 2)^2+3$
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10. are the line segments congruent? (-1,5) (6,3) (2,3) (-1,1)
No
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which methods could you use to calculate the y - coordinate of the midp…
B. Divide 15 by 2., D. Count by hand.
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△abc and △abc are shown below. which statement best describes the trans…
a transformation that moves all points a specified distance along a line parallel to a specified line
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determine whether the lines are parallel, perpendicular, or neither. 10…
10. Perpendicular 11. Parallel 12. Perpendicular 13. \(p\) and \(q\) 14. \(q\) and \(r\) 15. \(p\) and \(r\) 16. \(p\) 17. \(p\) 18. The top and bottom of the cricket - cage 19. T…
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find the measure of the missing angles
\(x = 59\), \(y = 121\)
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question 14 of 22 which of the following is the equation of the circle …
C. \(x^{2}+(y - 5)^{2}=25\)
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fill in the blank with || or ⊥ to make the statement true. 6. line p? l…
6. ⊥ 7. || 8. || 9. ⊥ 10. ⊥ 11. || 12. Neither 13. p and q (answers may vary) 14. q and s (answers may vary) 15. p and r (answers may vary) 16. p 17. p 18. Top and bottom of the c…
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9. solve for $overline{de}$
$11$
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david wants to paint a rectangular region of a wall with one layer of p…
| Region | Width | Length | Area | | ---- | ---- | ---- | ---- | | Region #1 | 3 ft | 6 ft | 18 ft² | | Region #2 | 4 ft | 4 ft | 16 ft² | | Region #3 | 5 ft | 2 ft | 10 ft² | (b)…
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list the pairs of congruent angles. then write the extended proportion …
1. Pairs of congruent angles: $\angle X\cong\angle M$, $\angle Y\cong\angle N$, $\angle Z\cong\angle P$; Extended proportion: $\frac{XY}{MN}=\frac{YZ}{NP}=\frac{XZ}{MP}$ 2. Pairs …
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a right triangle has side lengths 7, 24, and 25 as shown below. use the…
$\tan B=\frac{24}{7}$, $\sin B=\frac{24}{25}$, $\cos B=\frac{7}{25}$
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find the area of this trapezoid. be sure to include the correct unit in…
$36$ yd²
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find the area of the rectangle in square feet. round your answer to the…
43.1
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list the pairs of congruent angles. then write the extended proportion …
1. Congruent angles: $\angle X\cong\angle M$, $\angle Y\cong\angle N$, $\angle Z\cong\angle P$; Extended proportion: $\frac{XY}{MN}=\frac{YZ}{NP}=\frac{XZ}{MP}$ 2. Congruent angle…
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find the area of this trapezoid. be sure to include the correct unit in…
$36$ yd$^2$
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similar polygons list the pairs of congruent angles. then write the ext…
1. Congruent angles: \(\angle X\cong\angle M\), \(\angle Y\cong\angle N\), \(\angle Z\cong\angle P\); Proportion: \(\frac{XY}{MN}=\frac{YZ}{NP}=\frac{XZ}{MP}\) 2. Congruent angles…
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27. if a rectangle with dimensions 3 cm by 7 cm is dilated by a scale f…
B. 6 cm by 14 cm
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the circle below has center o and diameter vu. ps intersects the circle…
(a) A chord could be $\overline{TV}$ (joins two points on the circle). (b) A secant line could be $\overleftrightarrow{RW}$ (intersects the circle at two points $T$ and $V$). (c) …
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26. which sequence of transformations maps a rectangle from (1,2), (1,4…
B. dilation by scale factor of -2
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25. a drawing that measures 7 inches by 10 inches needs to be enlarged …
C. 3
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24. which transformation does not alter the orientation of a figure? a.…
D. Translation
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23. if a figure is reflected over the line y = x, what happens to the c…
C. $(y,x)$
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22. what is the image of the point (4, -1) after a dilation with a scal…
A. $(12, -3)$
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21. a garden plot measures 3 feet by 4 feet and is scaled up by a facto…
B. 12 feet by 16 feet
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21. a garden plot measures 3 feet by 4 feet and is scaled up by a facto…
B. 12 feet by 16 feet
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20. what term describes the ability to move one shape on top of another…
A. Congruence
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19. a triangle with vertices at (3, -2), (5, -4), (7, -2) is rotated 18…
B. $(-3, 2)$
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what is the midpoint of the segment shown below? (-6, -9) (16, 5) a. (1…
C. $(5,-2)$
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18. what happens to a figure when it is reflected over the y - axis? a.…
d. It creates a mirror image
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a line segment may have more than one midpoint. a. true b. false
B. False
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17. which transformation results in a figure that is not congruent to t…
C. Dilation
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question 5 of 10 what is the midpoint of the segment shown below? (1, 2…
C. $(1,-\frac{3}{2})$
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congruent? yes no congruent? yes no congruent? yes no
No, Yes, No, No
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16. when a point (3,4) is rotated 90 degrees clockwise around the origi…
C. (4, -3)
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what is the midpoint of the line segment with endpoints (1, -6) and (-3…
C. $(-1,-1)$
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15. what is the result of rotating a point (5, 2) 270 degrees countercl…
B. $(2, - 5)$
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14. if a shape is translated 3 units up and 5 units to the right, what …
d. Translation
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question 3 of 10 what is the midpoint of the segment shown below? (-2,3…
D. $(4,3)$
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13. triangle a has coordinates (-6,2), (-7,4), and (-3,4). what are the…
B. $(4,-3),(4,-7),(2,-6)$
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choose the term that has the given definition. | term | definition | |-…
1. Congruent 2. Angle 3. Coplanar 4. Parallel
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12. what is the result of applying a dilation with a scale factor of 3 …
B. The new rectangle has side lengths of 6 units and 12 units.
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1. name three points. 2. give another name for line g. 3. name a pair o…
1. **Answer**: Three points for line \(g\) could be \(W\), \(Q\), \(R\) (assuming they lie on line \(g\) as per the figure). # Explanation: ## Step1: Identify points on line Obser…
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11. using the distance formula, what is the length of ab? a = (-9, 3) b…
b. 4.16
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3. quadrilateral krwb is shown on the coordinate grid. a. apply the seq…
The new coordinates of the vertices of the quadrilateral after the two - step transformation are \(K''(2,2)\), \(R''(8,0)\), \(W''(13,5)\), \(B''(4,4)\) and they should be plotted…
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find the volume of a cone with a height of 10 ft and a base radius of 3…
$94.2$ ft³
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10. what is the outcome of rotating a point (2, - 3) 90 degrees counter…
B. $(5,2)$
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9. if triangle a and b are congruent, what is the length of the missing…
a. 3.61
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8. reflecting a shape over the y - axis results in: a. a larger shape b…
C. A mirror image of the shape
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7. what is a key feature of a shape after it undergoes a rigid transfor…
A. It maintains congruence.
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18 multiple answer 4 points under which of the following conditions mus…
B. Both lines have different slopes but the same x - intercept. C. Both lines have the same y - intercept but different slopes. ### 19.
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6. what happens to a point when it is rotated 180 degrees around the or…
C. Both coordinates are negated
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5. what is the term for the new shape after a transformation? a. invers…
D. image
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4. translating a shape 5 units left and 3 units up changes the coordina…
B. $(-1,12)$
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3. rotating the point (2,5) by 90 degrees counterclockwise around the o…
B. $(-5,2)$
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rigid transformations: unit assessment 1. quadrilateral wydm was transf…
\((x,y)\to(x - 5,y - 8)\)
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when a scale factor is less than 1, what happens to the figure? a. it b…
B. It becomes smaller
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15. which transformation keeps the figures proportions but changes its …
C. Dilation
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2. quadrilateral abcd is a rectangle. trapezoid aefb is congruent to tr…
# Explicación paso a paso: ## Paso 1: Comprender las transformaciones rígidas Las transformaciones rígidas son aquellas que preservan la forma y el tamaño de una figura. Incluyen …
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14. what are the new vertices of a rectangle with original vertices at …
C. (4,0), (4,2), (7,2), (7,0)
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13. what sequence of transformations will map a triangle from (1,1), (3…
D. Rotation 180 degrees
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since ad = be and db = ec, the proportion $\frac{ad}{db}$ is the same a…
The second statement " $\triangle ADB$ is similar to $\triangle BEC$ because the corresponding angles are congruent. Therefore, $\frac{AD}{DB}=\frac{BE}{EC}$, so the ratio of the …
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the following figure is a rectangle made up of two smaller rectangles. …
The light rectangle (on the top): 15 The dark rectangle (on the bottom): $3x$ As a sum of two areas: $15 + 3x$ As a product of the length and width: $3(5 + x)$
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12. what happens to the coordinates of a point when it is reflected ove…
A. The y - coordinates change sign.
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11. what geometric property remains unchanged during a dilation? a. len…
D. Angles
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10. which transformation can produce a similar figure with different si…
C. Dilation
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The dark rectangle (on the top): 14 The light rectangle (on the bottom): 7x (b) As a sum of two areas: 14 + 7x As a product of the length and width: 7(x + 2)
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6. read the sentence from paragraph 2 of selection 2. \still other cont…
D. ringed
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11. a triangle whose all the angles are of measure less 12. a triangle …
1. Acute - angled triangle 2. (b) and (c) 3. ∠BAC = 60°, ∠ACB = 60° 4. 45° 5. 39° and 51° 6. x = 60°, y = 100°, z = 80° 7. ∠ABD = 25°, ∠A = 50° 8. (a) can, (b) cannot 9. (b) and (…
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8. a square with vertices (2,2), (2,6), (6,6), and (6,2) is dilated by …
C. (3,3)
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7. which of the following transformations would you use to make a figur…
C. Dilation by a scale factor of 0.5
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essay 4 points match each equation to the graph it represents. x = -3 x…
For a vertical line 3 units to the left of the \(y\) - axis: \(x=-3\) For a vertical line 3 units to the right of the \(y\) - axis: \(x = 3\) For a horizontal line 3 units below t…
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6. a parallelogram is reflected over the line y = x. what happens to th…
A. $(-2,4)$
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5. a garden plot measures 3 feet by 4 feet and is scaled up by a factor…
B. 12 feet by 16 feet
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which line segment is a chord of ⊙c in the diagram below?
B. $\overline{AB}$
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identifying types of lines in three - a and c which are l which are per…
$a$ and $d$ (assuming based on typical 3 - D line relationships in the figure; without more specific information about the lines' exact positions relative to the planes, this is a…
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what is the measure of ∠cae? 135° 55° a. 25° b. 55° c. 80° d. 40°
D. $40^{\circ}$
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4. if a figure is rotated 90 degrees clockwise, what happens to a point…
The problem seems to be incomplete as the initial coordinates of the point are not given. So, the answer cannot be determined from the provided information.
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true or false? if a parallelogram is inscribed in a circle, it must be …
A. True
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the __________ of a triangle is the center of the only circle that can …
B. circumcenter
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the radius of the circle shown below is 9 inches. what is the approxima…
A. 22.8 in
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3. when a figure is dilated by a scale factor of 2, what happens to its…
C. It doubles in size
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in the diagram below, (mwidehat{ps}=60^{circ}) and (mwidehat{qr}=74^{ci…
B. $67^{\circ}$
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2. which transformation flips a figure over a line? a. rotation b. dila…
C. Reflection
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question 19 of 25 if a circle is inscribed in a hexagon, which of the f…
C. The circle is tangent to each side of the hexagon. D. The circle is congruent to the hexagon. (False, so not selected) E. The hexagon is circumscribed about the circle.
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1. what is the result of dilating the point (4, 9) by a factor of 3? a.…
D. (12, 27)
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a tangent - tangent angle intercepts two arcs,that measure 124° and 236…
C. $56^{\circ}$
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question 17 of 25 in the diagram below, ⊙o is circumscribed about quadr…
\(x = 57\), so the answer is B. 57
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question 16 of 25 the ______ of a triangle is the center of the only ci…
B. incenter
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if ∠def measures 70°, what is the measure of 𝐷𝐺𝐹? a. 290° b. 140° c.…
A. 290°
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12. a triangle whose one angle is 13. the vertices of a triangle are th…
1. **Question 1**: - **Explanation**: - **Step1: Recall the definition of triangle - type by angles** - An acute - angled triangle has all angles less than \(90^{\circ}\). Given a…
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solve for the angle solve for x. be accurate to within one decimal. 5.7…
We assume this is a right - triangle problem and we use the tangent function. If we assume the side of length $1.5$ is the opposite side and the side of length $5.7$ is the adjace…
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solve for the side set up an equation, then solve for x. be accurate to…
$x\approx18.1$