Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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calculate the distance between the points l=(1, -1) and p=(6, -9) in th…
$9.43$
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calculate the distance between the points p = (-1, -4) and g = (-9, 2) …
$10$
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name the figure below in two different ways. symbol: and
$\overleftrightarrow{WI}$ and $\overleftrightarrow{WO}$
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in the figure below, g is between e and h, and f is the midpoint of $ov…
$15$
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find the location of q, the midpoint of (overline{pr}). location of q :
5
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find the coordinates of p that represent the weighted average for the g…
$P=(-\frac{7}{3},\frac{2}{3})$
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multiple choice 1 point by the fall of 1918, paul is the only one of hi…
A. Dramatic Irony
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8 what is the measure of angle 3 + angle 4 + angle 5? * (25 points) 0 9…
180
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7 angle 1 and what other angle are complementary angles? * (25 points)
1. A. 2
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6 angle 1 and angle 2 are a linear pair. * (25 points) true false
True
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5 angle 5 and what other angle are supplementary angles? * (25 points)
6
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△rst is the image of △rst under a dilation through point c. rs = 5 and …
E. 1.6
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look at the image below. what is the area of the triangle? 63 units²
63 units²
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classify each scale factor as a contraction or an expansion. drag and d…
Contraction: \(\frac{1}{3},0.8\) Expansion: \(\frac{3}{2},4, - 3\)
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3. a. is △xyw ~ △xwz? explain why or why not. b. is △wyz ~ △xwz? explai…
Yes, because \(\angle XYW=\angle XWZ = 90^{\circ}\) and \(\angle X\) is common. ### 3b.
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lesson 7 | session 3 3 a. is △xyw ~ △xwz? explain why or why not. b. is…
Yes, \(\triangle XYW\sim\triangle XWZ\) because \(\angle XYW=\angle XWZ = 90^{\circ}\) and \(\angle X\) is common. ### 3b.
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3 a. is △xyw ~ △xwz? explain why or why not. b. is △wyz ~ △xwz? explain…
Yes, \(\triangle XYW\sim\triangle XWZ\) by the AA - similarity criterion. ### 3b.
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look at the image below. what is the area of the triangle? units²
63
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20. circle each value that is a perfect cube. 27 1,000 90 1 300 72 525 …
27, 1000, 1, 216
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20. circle each value that is a perfect cube.
1000, 1, 216
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directions: estimate each square root to the nearest tenth. 17. √108 18…
17. $10.4$ 18. $-19.3$ 19. $7.8$ 20. Circle $1$ and $216$
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20. circle each value that is a perfect cube. 27 1,000 90 1 300 72 525 …
27, 1000, 1
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similar triangles study the example showing how to use angle measures t…
1. $\triangle ABC$ is not similar to any of the triangles in the example because its angle measures ($50^{\circ},60^{\circ},70^{\circ}$) do not match the angle measures of $\trian…
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4. tell whether each statement about the diagram is true or false. a. ∠…
4. a. True b. False c. False d. False e. True 5. \(x = 8\) 6. a. \(m\angle QTR = 96^{\circ}\) b. \(m\angle PTR = 70^{\circ}\)
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look at the image below. find the area of the parallelogram. square uni…
140
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c. count the pictures and write sentences with there is or there are. 1…
C: 2. There are eight circles. 3. There are seven leaves. 5. There are nine apples. 6. There are two lines. 7. There are ten clocks. 8. There are eleven mugs. 9. There are fourtee…
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teresa wants to find the area of a wall in her attic. the wall is shape…
First way: One large rectangle and one small triangle. Second way: Two rectangles and one triangle.
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practice describing the exterior angles of a triangle study the example…
1. 108°, 126°, 126° 2. \(m\angle CAB = 35^{\circ}\) 3. No. If a triangle has an exterior angle of 90° at a vertex, the adjacent interior angle is 90°. Having two such exterior ang…
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the triangle below models a section of the supports you might see in a …
a. 180 degrees b. The sum of the interior angles of a triangle is always 180 degrees. We have found the three angles of the triangle to be 30 degrees, 60 degrees, and 90 degrees, …
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2 are the triangles similar? explain. downloaded by r. brown. this reso…
Yes, the triangles are similar because the ratios of their corresponding sides are equal.
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prepare for angle relationships in triangles ① think about what you kno…
Yes, the triangles are similar because the ratios of their corresponding sides are equal ($\frac{10}{8}=\frac{15}{12}=\frac{20}{16}=\frac{5}{4}$). For the first part (the graphic …
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3 the figure shows two lines cut by a transversal. what value of x show…
- Problem 3: \(x = 6\) - Problem 4: A. \(\angle2\cong\angle3\), D. \(\angle8\) and \(\angle9\) are supplementary angles, F. \(m\angle3 + m\angle6 = 180^{\circ}\) (assuming paralle…
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study the example showing how to use angle relationships to solve probl…
1. The angle - relationship between $\angle DCF$ and $\angle CFG$ is that they are same - side interior angles. $m\angle DCF = 33^{\circ}$ and $m\angle CFG=147^{\circ}$. 2. $x = 1…
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lesson 6 | session 2 4 in which figures is ∠1 = ∠2? select all that app…
A. Option A, D, E ### 5.
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3. describe a sequence of transformations you can use to show ∠jlk≅∠qnr…
First, translate $\angle QNR$ 4 units to the right and 2 units down so that point $N$ coincides with point $L$. Then, rotate the translated $\angle QNR$ counter - clockwise about …
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3 describe a sequence of transformations you can use to show ∠jlk≅∠qnr.
First, translate ∠QNR so that point N coincides with point L. Then, rotate the translated ∠QNR about point L so that one side of the rotated ∠QNR coincides with one side of ∠JLK.
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practice describing congruent angle relationships study the example sho…
a. \(\angle BCF\) b. \(148^{\circ}\) c. \(x = 35\)
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angles date: use the figure below to answer questions 1 - 4. 1. give an…
$x = 18$
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practice describing congruent angle relationships > study the example s…
1. a. $\angle BCF$ b. $148^{\circ}$ 2. $x = 10$
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1. use the diagram below to complete each part. ** this is a 2 - page d…
a. Vertex of ∠4: B b. Sides of ∠1: $\overrightarrow{BA}$, $\overrightarrow{BC}$ c. Another name for ∠5: ∠EBD d. (No specific classification given measures) e. (No angle bisector i…
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solve completely : from a circular piece of metal sheet with a diameter…
The dimensions of the rectangular piece are 6 cm and 8 cm.
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8) rotation 180° about the origin 9) reflection across the x - axis
8) B 9) C
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6) reflection across the x - axis a) g(2,3),f(4,1),h(5,2) b) h(1, - 4),…
D. $H(5, - 2),G(2,-3),F(4,-1)$
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find a simplified expression to represent the area of the triangle. the…
$4x^{2}+22x - 12$
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consider the function y = 2sin(x) for 0° ≤ x ≤ 360°. graph the function…
- X - intercepts: $(0,0),(180,0),(360,0)$ - Maximum point: $(90,2)$ - Minimum point: $(270, - 2)$
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a rectangular plot of land is designed so that its length is 2 meters m…
10.3, 12.3
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sheena wants to measure the volume of a ball that is 24 cm across. how …
$V=\frac{4}{3}\pi12^{3}$ (corresponding to the fourth - option in the multiple - choice list)
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the longer leg of a right triangle is 17 cm longer than the length of t…
$x^{2}+(x + 17)^{2}=625$
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9. 6.2 yd 15.7 yd 8.5 yd 10. hint: use pythagorean theorem to find diam…
Problem 9 volume: \(413.695\) cubic - yards Problem 10 diameter: \(16.8\) m Problem 11 height of triangular base: \(\sqrt{253}\approx15.9\) mm
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the length of a rectangle is 3 yd more than twice the width x. the area…
(2x + 3)x = 230
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the perimeter of the triangle shown is 216 feet. find the length of eac…
25, 50, 141
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use the diagram to find the angle measures of the triangle. recall that…
$x = 25^{\circ}$, $(x + 5)=30^{\circ}$, $5x=125^{\circ}$
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a piece of land is to be fenced and subdivided as shown so that each re…
$9x + 8$
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c = (5)sin(35°) c = (5)cos(35°) c = 5 / sin(35°) c = 5 / cos(35°)
$c=\frac{5}{\sin(35^{\circ})}$
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which equation can be used to solve for b? b = (8)sin(30°) b = (8)tan(3…
\(b=(8)\tan(30^{\circ})\)
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6.8 cm 7.5 cm 14.5 cm 17.7 cm
\(7.5\mathrm{cm}\)
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a right triangle has one side that measures 4 in. the angle opposite th…
4.1 in.
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the equation sin(40°) = b/20 can be used to determine the length of lin…
12.9 cm
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12. directions: use the area formulas to find each missing measure. 13.…
$8.7$ m ### 17.
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what is the length of ac? round to the nearest tenth. 10.5 m 12.3 m 18.…
\(10.5\)m
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what is the approximate value of x? round to the nearest tenth. 3.1 cm …
$3.9$ cm
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what is the length of $overline{ab}$? round to the nearest tenth. 9.7 m…
38.6 m
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a building in a downtown business area casts a shadow that measures 88 …
55
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diana works in a building that is 130 feet tall. she is outside, lookin…
C. 17.6 ft
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which equations could be used to solve for the unknown lengths of △abc?…
$(AC)\sin(45^{\circ})=BC$, $\sin(45^{\circ})=\frac{BC}{9}$
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kevin was asked to determine the length of side xz. his work is shown. …
He has the side lengths in the wrong place in the cosine ratio.
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use the diagram to complete the statements. the measure of angle l is .…
The trigonometric ratio that uses $\angle M$ and $LN$ to solve for $NM$ is $\tan M=\frac{LN}{NM}$. The length of $NM$, to the nearest tenth, is $57.7$. The measure of angle $L$ is…
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a 25 - foot long ladder is propped against a wall at an angle of 18° wi…
The second diagram from the top correctly represents the scenario as it shows a right - triangle with the hypotenuse (ladder) labeled 25 and the angle between the hypotenuse and t…
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the measure of angle a is 15°, and the length of side bc is 8. what are…
$AB\approx30.9$, $AC\approx29.9$
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which equation could be used to solve for the length of xy? ○ xy = (22)…
$XY=\frac{22}{\cos(41^{\circ})}$ (corresponding to the second option among the given choices in the image although the options are not labeled with letters in the problem statemen…
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1. skills review! use the grids to calculate the area of each shape bel…
a. Area of shape a: [Estimated value after counting squares]. Area of shape b: [Estimated value after counting squares]. b. Angle a: [Estimated measure to nearest 10°]. Angle b: 1…
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1. skills review! use the grids to calculate the area of each shape bel…
for a: (Please count the squares following the above steps and round to the nearest whole number)
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write the equation of the line in fully simplified slope - intercept fo…
$y=-6x + 4$
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find the distance between each pair of points. round your answer to the…
For the first pair of points: 5 For the second pair of points: 3.2
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question 22 find the length of the hypotenuse of the right triangle pic…
\(\sqrt{173}\)
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question 23 a 14 - inch laptop has a screen that is 9 inches tall. how …
$10.72$
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question 24 determine the altitude (height) of the plane in the image b…
770
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find the length of the hypotenuse of the right triangle pictured below.…
13
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find the midpoint of the line segment 12) (1, -10), (4, 2)
$(2.5,-4)$
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question find the volume of a right circular cone that has a height of …
$22.7$ cm³
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central angles. in circle a, ∠bae = ∠dae. what is the length of be? 34 …
27 units
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in circle n, kl ≅ ml. what is the measure of ∠jnk? (13x + 2)° (5x + 24)…
$74^{\circ}$
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angles ptq and str are vertical angles and congruent. which chords are …
QP and SR
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in circle a, ∠bae ≅ ∠dae. what is the value of x? 27 17 14 34
17
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angles ptq and str are vertical angles and congruent. which arcs are co…
$\overset{\frown}{PQ}$ and $\overset{\frown}{SR}$
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angles angles ptq and str are vertical angles and congruent. which arcs…
$\overparen{PQ}$ and $\overparen{SR}$
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angles ptq and str are vertical angles and congruent. which arcs are co…
$\widehat{PQ}$ and $\widehat{SR}$
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which arc is congruent to $overset{\frown}{eh}$? $overset{\frown}{gh}$ …
$\overset{\frown}{GE}$
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d is shown with the measures of the minor arcs. which angles are congru…
∠EDH and ∠FDG
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in circle d, ∠edh ≅ ∠edg. what is the measure of arc eh? 123°, 228°, 11…
114°
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∠ptq≅∠rts. what is the length of $overline{pq}$? 7 units 4 units 3 unit…
4 units
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in circle n, kl ≅ ml. what is the measure of jm? (13x + 2)° (5x + 24)° …
$154^{\circ}$
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miguel needs to fix a window screen that is 23 feet above the ground. t…
24 ft
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table width: table length: table surface area: questions 1. did you get…
1. Varies based on measurement process. 2. Reproducibility, consistency, wide - acceptance.
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46. woodworking oliver makes plaques like the one shown. find m∠1, m∠2,…
$m\angle1 = 67^{\circ}$, $m\angle2 = 113^{\circ}$, $m\angle3 = 113^{\circ}$
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the shorter sides of an acute triangle are x cm and 2x cm. the longest …
7
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question 32 of 33 if the sum of interior angle measures of a polygon is…
C. 6
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which of these angle pairs are congruent because they are corresponding…
C. 1 and 3
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question 30 of 33 if ∠a = 32°, what must be the measure of ∠d in order …
C. $32^{\circ}$
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if an isosceles triangle △abc is dilated by a scale factor of 3, which …
D. The sides of \(\triangle ABC\) are congruent to the sides of \(\triangle A'B'C'\)