几何
三角形、圆、解析几何与证明题。
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review quiz 2 math-053-cr-004: secondary mathematics 2, part 1 (credit …
definition of a midpoint
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22. calculate the area of the following square if a = 10. 196 square un…
C. 100 square units
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21. calculate the area for the parallelogram if a = 3.4, b = 14.8, and …
41.14 square units
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1. for this question, complete part of the proof of theorem 35 by selec…
Converse of alternate - interior angles theorem.
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given that the quadrilateral qrst is a parallelogram, $overline{qr}=6x …
28
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15. if qp = 15, mn = 20, and ls = 16, calculate the length of sr.
$\frac{16}{3}$
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11. write the following in decimal notation: 7.388×10^{10} 738800000000…
11. \(73880000000\) 12. \(18\) 13. False 14. \(-8i\)
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9. since birth, harold has had a savings account that has been growing …
For the first question: $\$408850.47$ For the second question: 81.2
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7. give the name for a regular polygon in which each exterior angle mea…
7. None of these answers are correct. 8. \(17\)
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3. calculate fg if if = 8, ih = 22, nm = 12, and ml = 30 fghi ~ mlpn fg…
20
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let (ab = 7), (bd = 4), and (ac = 11). calculate (dc). image not set to…
6.29
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in the isosceles △abc, m∠acb = 120° and (overline{ad}) is an altitude t…
$2\sqrt{3}$
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math 8 section 2.2 homework reflections graph the image of the figure u…
Graph the new figure by finding the reflection of each vertex of the original figure across the $y -$axis using the rule $(x,y)\to(-x,y)$ and then connecting the new vertices.
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21. which angle is the largest in △xyz if x = 32, y = 34, and z = 30? w…
Y
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calculating the volume of a rectangular prism find the volume of a box …
$250$
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a triangle △abc has vertices a(1,1), b(3,1), and c(2,4). after a transf…
b. Yes, the figures are similar; a dilation was performed.
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question 1 1 pts what are the coordinates of the midpoint of the line s…
D. (-1, 0.5)
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a triangle has vertices a(1,2), b(3,4), and c(2,6). after a transformat…
b. \((x + 3,y + 3)\)
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a rectangle r has vertices p(0,0), q(4,0), r(4,2), and s(0,2). it is tr…
b. Yes, the figures are similar; a translation was performed.
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a triangle with side lengths 5, 12, and 13 is dilated to create a simil…
a. 6
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rectangle r with side lengths 4 and 6 is dilated by a scale factor of 2…
C. 8 and 12
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a triangle with vertices a(1,2), b(2,4), and c(3,6) is dilated to creat…
c. 2
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a rectangle has vertices a(1,2), b(5,2), c(5,4), and d(1,4). it is tran…
c. \((x,y)\to(x - 1,y - 2)\)
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if two figures are similar, which of the following must be true? a. the…
d. Their corresponding angles are equal
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if a rectangle is translated 3 units up and 4 units right, what happens…
A. They are increased by 3 in the y - direction and 4 in the x - direction.
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prices - additional practice formula: (total variable costs) / (1 - .pr…
1. The price of the shoes is $\$77.32$. 2. The price per burrito is approximately $\$3.67$. 3. The price of the car is approximately $\$17835.29$.
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2.3 homework question 6, 2.3.25 hw score: 23.81%, 5 of 21 points points…
The graph that shows the upper - half of the circle $x^{2}+y^{2}=49$ in red and the lower - half of the circle $x^{2}+y^{2}=49$ in blue is the correct one. Without seeing the actu…
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sketch the graph of the first function. then, on the same coordinate pl…
The graph where the red curve is the upper - half of the circle and the blue curve is the lower - half of the circle centered at the origin with radius 7. Without seeing the actua…
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15. a rectangular park is 600 meters long and 400 meters wide. using a …
b. 30 meters
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14. two circles have diameters of 8 and 24, and their centers are 5 uni…
B. Dilation and translation
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13. if the scale factor of a dilation is ⅓, which of the following desc…
d. The image is a reduction of the preimage
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12. when the center of dilation is at the origin and the scale factor i…
d. The figure reduces to half its original size
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11. dilate point a(3, - 4) by a scale factor of k = 3 with the center o…
The coordinates of $A'$ are $(9, - 12)$ (Option b).
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10. the diameters of two circles are 12 and 36. what scale factor (k) i…
c. 3
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9. what does the center of dilation represent in a dilation? a. the lar…
d. The fixed point from which a figure is scaled
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8. an architect designs a skyscraper that is 100 meters wide. if the sc…
a. 5 meters
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7. a rectangular garden is 400 meters long and 300 meters wide. using a…
d. 40 meters
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6. a square with vertices at (1,1), (1,3), (3,3), and (3,1) is dilated …
d. $(2,2),(2,6),(6,6),(6,2)$
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5. a triangle △jkl with side lengths 4, 6, and 8 is dilated by k = 3. w…
b. 12, 18, 24
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4. a triangle has vertices x(1,1), y(5,1), z(3,4). after a dilation, it…
c. 3
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3. a city planner creates a scaled map of a residential area. the actua…
c. 10 meters
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are the triangles similar? explain why or why not. no, because point j …
Yes, because $\triangle{JKL}$ can be dilated by a scale factor of $\frac{1}{3}$ using the origin as the center of dilation and then the image can be rotated $90^{\circ}$ clockwise…
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7. graph the image of the triangle below using a scale factor of k = 4.…
For problems 7 - 10, we need the original coordinates of the vertices of the figures to find the coordinates of the dilated figures. For problems 11 - 12, we need the coordinates …
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4. rhombus wxyz with vertices w(2, -4), x(6, -2), y(10, -4), and z(6, -…
$W'(3,-6)$ $X'(9,-3)$ $Y'(15,-6)$ $Z'(9,-9)$ $D'(-1,3)$ $E'(2,2)$ $F'(2,1)$ $G'(-1,0)$
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3. rectangle pqrs with vertices p(5, 15), q(15, 15), r(15, 10), and s(5…
$P'(4,12)$ $Q'(12,12)$ $R'(12,8)$ $S'(4,8)$ $M'(-14,-8)$ $N'(-8,-6)$ $O'(-6,-12)$ $P'(-12,-14)$
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2. triangle lmn with vertices l(2, -8), m(12, 8), and n(14, -4): k = 1/…
$L'(1,-4)$ $M'(6,4)$ $N'(7,-2)$
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9. practice 2 use number sense explain why the numerical expression 3 l…
The expression "3 less than 16" is written as 16 - 3 because in the phrase "a less than b", we start with b and subtract a. ### 10.
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8. if m∠ecd is six less than five times m∠bce, and m∠bcd = 162°, find e…
$m\angle BCE = 28^{\circ}$ $m\angle ECD = 134^{\circ}$
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identify whether each pair is not similar, similar and has a scale fact…
Without specific coordinates of the vertices of $\triangle ABC$ and $\triangle DEF$ calculated, we cannot give a definite answer. But the general steps to determine are as above.
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6. if ∠def is a straight angle, m∠deg=(23x - 3)°, and m∠gef=(12x + 8)°.…
$x = 5$ $m\angle DEG=112^{\circ}$ $m\angle GEF=68^{\circ}$ $m\angle DEF = 180^{\circ}$
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question 11 (mandatory) (1 point) proportion & scale both relate to____…
D. Size
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5. if (mangle jkm = 43^{circ}), (mangle mkl=(8x - 20)^{circ}), and (man…
$x = 17$ $m\angle MKL=116^{\circ}$ $m\angle JKL=159^{\circ}$
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17.a solve the following problems. given: △abc, m∠a = 60°, m∠c = 45°, a…
\(P_{\triangle ABC}=\frac{27 + 9\sqrt{6}+9\sqrt{3}}{2}\), \(A_{\triangle ABC}=\frac{81(3+\sqrt{3})}{8}\)
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what is the least value for an integer, x, for which x, x + 5, and 2x -…
11
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in a certain triangle the length of two sides are 1.9 m and 0.7 m. what…
2
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it is possible that in a parallelogram with side lengths of 4 cm and 7 …
It is not possible.
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statements reasons 1. ∠1 and ∠3 are complementary a. 2. b. definition o…
$m\angle1 + m\angle3 = 90^{\circ}$
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in each case, use the new theorems to arrange the lettered measures fro…
$\beta$, $\alpha$, $\gamma$
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in the isosceles △abc, m∠acb = 120° and ad is an altitude to leg bc. wh…
$2\sqrt{3}$ cm
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in the isosceles △abc, m∠acb = 120° and (overline{ad}) is an altitude t…
$2\sqrt{3}$
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what is the area of an isosceles trapezoid if the lengths of its bases …
\(529\)
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what is the ratio of squares to hexagons?
2:1
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12.e solve the following problems. given: △mno, m∠m = 45°, m∠o = 30°, m…
$NO = 6\sqrt{2}$, $MO=3(\sqrt{3}+ 1)$
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12.c solve the following problems. given: △klm, lm = 12, m∠k = 60°, m∠m…
$18 + 2\sqrt{3}+4\sqrt{6}$
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in right $\triangle abc$ with $mangle c = 90^{circ}, mangle b = 75^{cir…
$18$
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7.b solve the following problems. given: △mop, p_{△mop}=12 + 4\\sqrt{3}…
$MP = 4$
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what is the ratio of hexagons to triangles? 7:□
7:1
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what is the ratio of circles to stars?
1
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what is the ratio of stars to circles?
2
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what is the ratio of triangles to rectangles?
$\frac{7}{1}$
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practice 3.1 scale factor and proportionality of similar figures 1) a m…
1. The actual height of the skyscraper is 300 meters. 2. The new side lengths of the triangle are $\frac{5}{2}$, 6, and $\frac{13}{2}$. 3. The scale factor from A to B is 2. 4. Th…
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7.b solve the following problems. given: △mop, p_{△mop}=12 + 4\\sqrt{3}…
$MP = 4$
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given a right triangle with legs a and b and hypotenuse c, find the len…
$4\sqrt{3}$
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what is the ratio of squares to hexagons?
1:2
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given a right triangle with legs a and b and hypotenuse c, find the len…
$4\sqrt{2}$
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2.b > what is the area of trapezoid abcd with bases $overline{ab}$ and …
$48\sqrt{3}$
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follow the guided instructions below to rotate the figure 180° counter …
# Explanation: ## Step1: Recall rotation rule For a 180 - degree counter - clockwise rotation about the origin, the rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$. ## Step2: Rotate…
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convert the polar coordinates (5, 6.1) to rectangular coordinates. (0.9…
C. (4.92, -0.91)
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what is the area of trapezoid abcd with bases $overline{ab}$ and $overl…
\(48\sqrt{3}\)
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review the four points shown on the polar coordinate system. which poin…
point C
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challenge activity 3.4.2: set operations with three sets. 664492.400298…
For the first problem (\(\overline{A}\)): The region is the part of the universal set outside of circle \(A\) (the non - overlapping part of \(B\) and the part of \(U\) outside bo…
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point s is located at (1, -5) on the coordinate plane. point s is refle…
$(-1,5)$
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point m is located at (-4, 4) on the coordinate plane. point m is refle…
$(4,-4)$
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point s is located at (1, 1) on the coordinate plane. point s is reflec…
$S'(-1,1)$
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problem 10: spiral review determine the exact length of the unlabeled s…
$\sqrt{65}$
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choose the poem that uses trochaic meter. and oft some distant tinkling…
The lines from William Shakespeare's "Macbeth": "Double, double toil and trouble; Fire burn and caldron bubble. Cool it with a baboon's blood, Then the charm is firm and good."
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question 2 consider the graph of the line. in order to draw this line, …
C. 1
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engaged citizenship requires electoral participation political awarenes…
Question 1: D. all of the above Question 2: D. all of the above
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find the length of the three missing sides in the rhombus below. answer…
\(x = 75\), \(y = 75\), \(z = 75\)
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the conjecture stating that vertical angles are congruent is called the
Vertical Angles Theorem
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the conjecture stating that alternate interior angles between two paral…
1. Alternate Interior Angles Conjecture 2. Corresponding Angles Conjecture 3. Consecutive Interior Angles Conjecture
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observe the series of transformations below. what is the series of tran…
Rotation of $90^{\circ}$ clockwise about the origin and a translation of 6 units down.
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angles that are on the same side of a transversal and between two paral…
1. Consecutive interior angles 2. Transversal 3. Perpendicular bisector
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question 3 justin and carolina are working on triangle jkls transformat…
Translation, then reflection ### Question 4
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question 1 △abc has vertices (-3, 4), (-7, 8), and (-5, 2). △abc is ref…
Question 1: A. $(-3,-4)$ Question 2: D. $(1,-3)$
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directions: for the following questions, choose the best answer or resp…
1. A. The wall will lead to a violent and inhumane result. 2. B. "There would be no way out, only a struggle getting bloodier and bloodier, a deeper and sharper hooking and tearin…
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two angles that are opposite each other when two lines intersect are ca…
1. Vertical angles 2. Alternate - interior angles 3. Corresponding angles
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which of the following series of transformations could govern the trans…
A rotation 90° clockwise followed by a translation down.
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find the measure of the missing angles. answer attempt 2 out of 5 x = y…
$x = 64$, $y = 90$
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according to the alternate interior angles conjecture, if parallel line…
A. 75°