几何
三角形、圆、解析几何与证明题。
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this parallelogram is a scaled copy. it was scaled by a factor of 2. su…
$\frac{1}{2}$
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now, find the scale factor. original triangle scaled copy base 12 4 hei…
$\frac{1}{3}$
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given m||n, find the value of x.
\(103\)
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finding the scale factor, fill in the base and height for the scaled co…
Base of scaled copy: 4 Height of scaled copy: 6
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32. for parallelogram lmno, if m∠l = 5x - 28 and m∠n = 3x - 10, find m∠…
# Explanation: ## Step1: Use property of parallelogram In a parallelogram, adjacent - angles are supplementary, so $\angle L+\angle N = 180^{\circ}$. $(5x - 28)+(3x - 10)=180$ ## …
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now, find the scale factor. side length in original rectangle correspon…
3
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exercises perform the dilation. 1. k = 1/3 (-12, 3) (6, 33) 2. k = 4 (-…
1. $(-4,1),(2,11)$ 2. $(-48,12),(8,-12)$ 3. $(-6,14),(\frac{4}{7},10)$ 4. $(-2,6),(4,6)$ 5. $(18,6),(-4,24)$ 6. $(-8,12),(12,20)$
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given m||n, find the value of x.
\(27\)
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15 determine and state the length of a line segment whose endpoints are…
$17$
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given m||n, find the value of x.
\(153\)
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examples perform the dilation. 1. k = 3 (-1, 13) → (_,_) (22, 13) → (_,…
1. $(-12,3)\to(-4,1)$; $(6,33)\to(2,11)$ 2. $(-12,3)\to(-48,12)$; $(2,-3)\to(8,-12)$ 3. $(-21,49)\to(-6,14)$; $(2,35)\to(\frac{4}{7},10)$ 4. $(-1,3)\to(-2,6)$; $(2,3)\to(4,6)$ 5. …
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4 mark for review figure a and figure b are both regular polygons. the …
A. Each side of figure B has a length of 6 inches.
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solve for the value of x.
$x = 45$
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31. lmno is a parallelogram. if nm = x + 15 and ol = 3x + 5, find the v…
$x = 5$
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4. on pipers map, the area of the field is 16 square inches. piper says…
Piper is not correct. Without knowing the scale of the map, we cannot make the conversion as Piper did. And if we consider the basic conversion of area units from square inches to…
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find the measure of the missing angles.
\(d = 44^{\circ}\), \(e = 114^{\circ}\), \(f = 44^{\circ}\)
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question translate the figure 7 units right and 2 units down. plot all …
# Explanation: ## Step1: Recall translation rule For a point $(x,y)$ translated 7 units right and 2 units down, the new - point is $(x + 7,y-2)$. ## Step2: Assume point coordinate…
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find the measure of the missing angle.
\(36^{\circ}\)
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plot the point (-2,6). click on the graph to plot a point. click a poin…
On the given graph, the point (-2,6) is located 2 units to the left of the y - axis and 6 units above the x - axis.
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triangle xyz is shown on the coordinate plane. if triangle xyz is trans…
From the coordinate - plane, assume the coordinates of \(Z\) are \((1,3)\). First, apply the translation \((x,y)\to(x + 1,y - 4)\): For \(Z(1,3)\), the new coordinates after trans…
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i 177b (4) (7) (5) (8) (6) (9)
(4) $x = 10$ (5) $x = 3$ (6) $x = 3$ (7) $x = 6$ (8) $x=\frac{4\sqrt{3}}{3}$ (9) $x = 9\sqrt{2}$
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pqrs is an isosceles trapezoid and m∠q = 127. find m∠p. 127 106 37 53
127
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27. given that ∠z = ∠x, m∠w = 5x - 4, and m∠y = 2x + 14, find the value…
6
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26. the slopes of jk and hn both equal 0. what can you conclude about t…
The segments are parallel.
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find x in the following right - angled triangles. ex. sol x:4 = 2:1 x =…
(1) $x = 4\sqrt{2}$ (2) $x = 4$ (3) $x=\frac{5}{2}$
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2. each of the two equal angles in an isosceles triangle is 24° less th…
The three angles are $52^{\circ},52^{\circ},76^{\circ}$. ### 3.
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find the measure of the missing angles.
\(h = 50^{\circ}\), \(g = 130^{\circ}\), \(m = 39^{\circ}\), \(k = 141^{\circ}\)
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find the measure of the missing angle.
\(21^{\circ}\)
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24. qrst is a rectangle. if rt = 4x - 16 and sq = x + 5, find the value…
7
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r90 (x, y) → ( , ) r180° (x, y) → ( , ) r270° (x, y) → ( , ) examples p…
1. $(-6,2)$; $(0, - 2)$ 2. $(-9,-15)$; $(-10,6)$ 3. $(-9,16)$; $(-19,-51)$ 4. $(13,54)$; $(-17,12)$ 5. $(9,73)$; $(1,-8)$ 6. $(-2,-13)$; $(0,10)$ 7. $(2,0)$; $(0,-10)$ 8. $(-10,2)…
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find the measure of the missing angles.
$b = 146^{\circ}$, $c = 34^{\circ}$
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solve for $x$ and graph the solution on the number line below. $10leq -…
The solution is $x\leq - 3$ or $x>1$. On the number - line, we have a closed circle at $x = - 3$ and shade to the left for $x\leq - 3$, and an open circle at $x = 1$ and shade to …
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qrst is a rectangle. if rt = 2x - 14 and sq = x + 8, find the value of …
22
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cdef is a kite and m∠fce = 34. find m∠1
\(m\angle 1=34\)
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10) find m∠ljk if m∠ijl = 23°, m∠ijk = 55x - 2, and m∠ljk = 47x - 1. a)…
A. \(140^{\circ}\)
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20. stvu is an isosceles trapezoid. if sv = 3x - 11 and tu = x + 13, fi…
12
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quadrilateral abcd is inscribed in a circle. move measures and reasons …
Third - row statement: \(\text{m}\widehat{BAD}+\text{m}\widehat{BCD}=360^{\circ}\) Fourth - row statement: \(2\times\text{m}\angle A + 2\times\text{m}\angle C=360^{\circ}\)
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pentagon abcde and pentagon abcde are shown on the coordinate plane bel…
A. Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y - axis
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d. synonyms or antonyms: read the words and decide if they are synonyms…
1. b. antonyms 2. b. antonyms 3. a. synonyms 4. b. antonyms 5. a. synonyms
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19. if dh = 3x - 3 and fh = x + 7, find the value of x for which defg m…
5
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solve and graph each solution set. -15≤f(x)<0, where f(x)= -2x - 5. gra…
The correct graph would have an open circle at $-\frac{5}{2}=-2.5$ and a closed circle at 5 with the line segment between them. Without seeing the exact details of the graphs labe…
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enlargement reduction what is the scale factor? * 1/3 1/2 2 3 4 if c = …
1. Enlargement 2. C. 2 3. B. (-4, 4)
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what type of dilation took place? * 1 point what is the scale factor? *…
What type of dilation took place? Enlargement What is the scale factor? 2
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domain and range what is the domain of the graph to the left?
$-6<x<2$
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domain and range adjust the domain and range so that the entire graph f…
Domain: $-3\lt x\leq3$; Adjusted domain: $-4\leq x\leq4$, Adjusted range: $-1\leq y\leq3$
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what is the area of the shaded rectangle? 3 1/3 in. 1 2/3 in. 3 2/9 in.…
$5\frac{5}{9}$ in.$^{2}$
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elements each question and circle the correct answer. 1. what is the cl…
1. A. the turning point of the story 2. B. rising action 3. C. character vs. character 4. A. characters, conflict 5. C. rising action, climax, falling action, conclusion
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15. the slopes of $overline{jk}$ and $overline{hn}$ both equal 0. what …
The segments are parallel.
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write the coordinates of the vertices after a rotation 270° countercloc…
The new coordinates are \(E'=(9,-6)\), \(F'=(9,-10)\), \(G'=(4,-10)\), \(H'=(4,-6)\)
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given: the coordinates of rectangle defg are d(0, b), e(a, b), f(a, 0),…
$\sqrt{a^{2}+b^{2}}$
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follow the guided instructions below to create the line of reflection t…
Slope of one of the dotted lines: $-1$ Slope of the line of reflection: $-1$
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the point v(6, - 6) is rotated 180° counterclockwise around the origin.…
$(-6,6)$
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using the diagram of a right triangle given below, the relation between…
\(x^{2}+y^{2}\)
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cairo wants to create a graph that represents the heights and bases of …
a. After copying the graph and matching rectangles A - D with points on the graph, identify the non - matched point by checking base - height combinations. b. For the unmatched po…
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12. quadrilateral efgh has coordinates e(a, a), f(3a, a), g(2a, 0), and…
$(2a,a)$
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road under the darkening pines; but ahead of them all, at the swift str…
C. He has been missing for longer than they thought.
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22. an isosceles triangle has one angle that measures 98°. find the mea…
The measures of the other two angles are 41° and 41°. The triangle is an obtuse triangle.
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10. if dh = 2x - 2 and fh = x + 6, find the value of x for which defg m…
8
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2 - 59. cairo wants to create a graph that represents the heights and b…
a. Copy the graph: (Instructions to copy the graph are not provided in detail here as it requires manual drawing. But one should redraw the given graph on graph - paper). Then mat…
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ray be bisects ∠abc. if m∠abe = (4x + 3)° and m∠cbe = (6x - 11)°, what …
Since ray BE bisects ∠ABC, then \(m\angle ABE=m\angle CBE\). So \(4x + 3=6x - 11\), \(2x=14\), \(x = 7\). Then \(m\angle ABE=4x+3=4\times7 + 3=31^{\circ}\). So the answer is \(31^…
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9. in the rhombus, m∠3 = 80. find m∠2. 50 40 160 80
50
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7. abcd is a parallelogram. if m∠d = 85, then what is m∠c? 105 85 170 95
$95$
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2. a substance produced by the body to fight disease 3. a substance tha…
1. d. perfect 2. b. adjustable 3. a. nourish 4. b. balloons 5. d. plaintiff
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cdef is a kite and m∠fce = 48. find m∠3
$44$
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9. find the perimeter of $\triangle mnp$.
130
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cdef is a kite and m∠fce = 48. find m∠3. 44 46 23 32
$44$
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solve for x and graph the solution on the number line below. -10 > x - …
The solution is $-10 < x < -8$. To graph it on a number - line, draw an open circle at $x=-10$ and at $x = - 8$, and shade the region between them.
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write the coordinates of the vertices after a rotation 180° clockwise a…
\(R'(-2,6)\), \(S'(-8,6)\), \(T'(-8,5)\), \(U'(-2,5)\)
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6. cdef is a kite and m∠fce = 48. find m∠3.
42
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beck used a compass and straightedge to accurately construct line segme…
A. m∠POS = 60°, m∠POQ = 120°
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quadrilateral abcd is inscribed in a circle. move measures and reasons …
| Statement | Reason | |--|--| | $m\overparen{BCD}=2\times m\angle A$; $m\overparen{BAD}=2\times m\angle C$ | Inscribed Angle Theorem | | $m\overparen{BAD}+m\overparen{BCD}=360^{\…
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5. in parallelogram defg, dh = x + 2, hf = 2y, gh = 3x - 3, and he = 5y…
\(x = 18,y = 10\)
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5. in parallelogram defg, dh = x + 2, hf = 2y, gh = 3x - 3, and he = 5y…
$x = 18,y = 10$
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essential question how can you find the perimeter and area of a polygon…
b. Perimeter: 20 c. Yes, by checking the product of slopes of adjacent sides (product is - 1 for all adjacent sides). d. A square is a quadrilateral with four equal - length sides…
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mr. glover wrote the problem, “find 16% of 50” on the whiteboard and as…
Maxine
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figure below is dilated by a factor of 2 centered at the origin. plot t…
To dilate a point $(x,y)$ by a factor of $k = 2$ centered at the origin $(0,0)$, we use the rule $(x,y)\to(kx,ky)$. Let's assume the coordinates of point $H$ are $(x_1,y_1)$, poin…
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3. which statements could you use to conclude that jklm is a parallelog…
$\overline{MN}=\overline{KN}$ and $\overline{JN}=\overline{LN}$
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select the correct answer. the sum of two complementary angles is 90°. …
C. $a + b = 90$, $2b - 15 = a$
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a. create a design for a garden shaped like a parallelogram. if the are…
A. Dimensions: base = 15 feet, height = 10 feet B. 8 six - foot panels and 2 one - foot panels. Justification: The perimeter of the rectangular (a type of parallelogram) garden wi…
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use the figure to answer the question. which statement gives enough add…
A. $\overline{RP}\parallel\overline{ST}$
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essential question how can you find the perimeter and area of a polygon…
20
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consider the diagram. the congruence theorem that can be used to prove …
ASA.
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9. find the perimeter of δmnp. 5x - 34 25
$91.2$
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which congruence theorem can be used to prove △wxz≅△yzx? w x z y aas as…
A. AAS
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read one event that ava added to the middle of her paragraph. then try …
1. "show me how you grow," he whispered 2. He decided to create a special garden. He watched the plants and learned. 3. Helen, filled with determination, started to paint a beauti…
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11. find the measure of each missing angle. m∠1 = ________ m∠2 = ______…
$m\angle1 = 55^{\circ}$ $m\angle2 = 55^{\circ}$ $m\angle3 = 35^{\circ}$ $m\angle4 = 35^{\circ}$ $m\angle5 = 55^{\circ}$
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select the correct answer. which equation represents the line that is p…
B. $x = - 6$
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10. find the measure of each missing angle. m∠1 = ____ m∠2 = ____ m∠3 =…
$m\angle1 = 56^{\circ}$ $m\angle2 = 88^{\circ}$ $m\angle3 = 36^{\circ}$ $m\angle4 = 88^{\circ}$ $m\angle5 = 56^{\circ}$
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plot the points (0,0), (3,2), and (6,4) on graph paper. then draw a lin…
$(9,6),(12,8),(15,10)$
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point e is on line segment $overline{df}$. given $de = 2x$, $ef = 2x - …
16
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point s is on line segment $overline{rt}$. given $rt = 3x$, $rs = 3x - …
6
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find the slope of the line graphed below.
$-\frac{4}{3}$
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4) a reflection over which line will not carry the square onto itself? …
x = - 1
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18 16 in. 16 in.
1. **Explanation**: - **Step 1: Find the area of the square** - The formula for the area of a square is \(A = s^2\), where \(s\) is the side - length of the square. Here, \(s = 16…
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find the slope of the line graphed below.
$\frac{3}{4}$
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3) a reflection over which line will carry the isosceles triangle onto …
B. y - axis
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find the slope of the line graphed below.
$\frac{2}{3}$
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2) how many lines of symmetry does the shape shown below have? * 1 point
C. 8
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what is the volume of this cone? round your answer to the nearest hundr…
$1596.18$
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find the slope of the line graphed below.
$\frac{7}{3}$