Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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ku - knowledge & understanding--- (circle true or false) (10 marks --- …
1. True 2. False 3. False 4. True 5. False 6. True 7. True 8. True 9. True 10. True
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math 145: mathematics for computing i in - class activity 5: uncertaint…
$4950$ m
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math 2 unit 3 classwork soh cah toa directions - a.) find the value of …
s for Problem Set #1 (partial): First triangle: $\theta\approx36.9^{\circ}$ Second triangle: $x\approx15.6$ Third triangle: $\theta\approx36.9^{\circ}$ Fourth triangle: $x\approx5…
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2) k + 10 ≥ 5
$k\geq - 5$ and on the number - line, we have a closed circle at - 5 and shade to the right.
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a manufacturer makes solid rubber balls. it takes 111.3 cubic inches of…
4.14
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a candle manufacturer sells cylindrical candles in sets of three. each …
A. 27 $\pi$ cubic inches
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the volume of clay used to build a cylindrical pillar with a height of …
$36\pi$
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if the circle in the diagram revolves about the vertical dashed line, w…
D. a solid ring
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the graph shows triangles abc and jkl. are abc and jkl similar? yes, be…
Yes, because a dilation centered at the origin with a scale factor of $\frac{1}{2}$ followed by a translation two units to the right and one unit down maps $ABC$ onto $JKL$.
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10. which parts must be congruent to prove that δmud ≅ δcat by the asa …
10. D. $\angle M\cong\angle C$ 11. C. SAS
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matching: use the figure below to classify each pair of angles using th…
1. D. linear pairs 2. C. vertical angles 3. C. vertical angles 4. E. none of these angle pairs 5. A. corresponding angles
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matching: use the figure below to classify each pair of angles using th…
1. D. linear pairs 2. C. vertical angles 3. C. vertical angles 4. E. none of these angle pairs 5. A. corresponding angles
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th 2 unit 2 test congruence - version 1 name: inigo gonzalez matching: …
1. C. vertical angles 2. C. vertical angles 3. D. linear pairs 4. E. none of these angle pairs 5. A. corresponding angles
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math 2 unit 2 test congruence - version 1 name: thiago gor matching: us…
1. D 2. C 3. E 4. E 5. E
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find the scale factor of each pair of similar triangles. 6) scale facto…
Scale factor of $P$ to $Q$: $3$ Scale factor of $Q$ to $P$: $\frac{1}{3}$ Scale factor of $K$ to $L$: $\frac{9}{16}$ Scale factor of $L$ to $K$: $\frac{16}{9}$ Scale factor of $U$…
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what is the slope of this line?
$\frac{4}{5}$
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6. solve the right - angle triangle, rmh, if: r = 18.2m; h = 54.6m; h =…
$m\approx51.48m$, $R\approx19.47^{\circ}$, $M\approx70.53^{\circ}$
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the diagram shows $overleftrightarrow{ab}$, $overrightarrow{cd}$, and $…
67
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consider the triangles. explain why the two triangles are not similar. …
The sides of $\triangle PQR$ and $\triangle STU$ are not proportional.
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what fraction of the shape is orange? use a slash ( / ) to separate the…
1/3
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the two triangles are similar. describe a sequence of transformations t…
$\triangle{FGH}$ can be mapped onto $\triangle{JKL}$ by rotating it $180^{\circ}$ and dilating it by a scale factor of approximately 1.5.
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use a word from the list above to complete each sentence. 5. the symbol…
7. parallel 12. C. right 13. G. parallel
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in the figure, lines ad and ce intersect at point f. name a pair of ver…
∠CFD and ∠AFE
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name: hoshi 3.1 to 3.3 quiz \\(\\frac{a}{\\sin a}=\\frac{b}{\\sin b}=\\…
1. $\theta\approx61.0^{\circ}$ 2. $b\approx37.9$ cm 3a. $A = 75^{\circ}$, $b\approx12.6$ cm, $c\approx22.8$ cm 3b. $Y = 70.8^{\circ}$, $Z\approx49.2^{\circ}$, $y\approx13.1$ mm
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the radius of a circle is 2 feet. what is the circles area? round your …
$12.57$ square feet
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in the figure, lines ad and ce intersect at point f. determine the meas…
$42$
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10. what kind of transformation is this? a) reflection b) translation c…
a) (-1, 4)
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in the figure, lines ad and ce intersect at point f. determine the meas…
$48$
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7. having the same size and shape: a) congruent b) similar c) preimage …
7. a) Congruent 8. a) Translation 9. a) Reflection
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6. if two lines are parallel to the same line, they are parallel to eac…
12. C. right 13. G. parallel
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in the figure, lines ad and ce intersect at point f. determine the meas…
$138$
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calculate the slope of the line in the following graph: o 2 o 1 o -1 o …
1
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part ii: basic constructions 4. short answer describe the steps to cons…
1. Open compass more than half - length of segment, draw arcs from both ends. 2. Connect intersection points of arcs with straightedge.
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chu plotted 3 points on a grid. the 3 points were all on the same strai…
D. \((7,3)\)
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2. short answer if ∠abc = 44° and ∠cbd = 80°, what is the measure of ∠a…
$124^{\circ}$
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in the figure, a || e, m || n, and m∠3 = 112°. what is the m∠1? enter y…
$112$
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foundations of geometry test part i: measuring segments and angles 1. m…
d) $4\sqrt{2}$
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in the figure, j || k and m∠1 = 63°. what is the m∠4? enter your answer…
$63$
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in the figure, a || b and m∠3 = 34°. what is the m∠7? enter your answer…
$34$
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in the figure, x || y and a is a transversal that crosses the parallel …
∠1 and ∠5
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what is the name of the relationship between ∠1 and ∠4? o alternate ext…
alternate exterior angles
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use this diagram for the following: find each measure: cg __ dg __ ab _…
\(CG = 9\), \(DG = 6\), \(AB = 9\), \(CB = 7\), \(DE = 2\), \(GH = 3\), \(EH = 7\), \(AH = 14\), \(AC = 2\), \(CH = 12\), \(FB = 1\), \(CD = 3\)
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which choice is the best paraphrase of the following excerpt from help …
D. The people in the subway cheered as the young man in the green jacket shook off the shock of saving the homeless man, who had fallen from the
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which choice is the best paraphrase of the following excerpt from \help…
D. The people in the subway cheered as the young man in the green jacket shook off the shock of saving the homeless man, who had fallen from the
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name: pedro solve each problem and graph the 1) |20x|-8≥72
The solution of the inequality \(|20x|-8\geq72\) is \(x\leq - 4\) or \(x\geq4\). On the number - line, we mark a closed circle at \(x=-4\) and shade to the left, and mark a closed…
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if ac = 35, find the value of each of the following x ab ac a b c x + 3…
$x = 10$ $AB=13$ $AC = 35$
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point b is the mid - point of segment $overline{ac}$. if $overline{ac}$…
5
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find (xy) if the coordinate of (x) is 3 and the coordinate of (y) is 4.
12
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find ef if the coordinate of e is -7 and the coordinate of f is -10.
3
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given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 1\)
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geometry assessment name: name redacted date: 10/7/20 4 points per ques…
11
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two triangles are congruent and the corresponding if and only if the co…
1. sides; angles 2. reflexive 3. vertical
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3. is there enough information to determine if the two triangles are co…
Yes, the two triangles are congruent by the SAS (Side - Angle - Side) congruence criterion.
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2. the two triangles are congruent. find the perimeter of triangle gfe.
9.8
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in the figure below, lines m and n are parallel, m∠2 = 62° and m∠3 = 73…
(a) \(m\angle5 = 45^{\circ}\), because the sum of the interior angles of a triangle is 180°, and by substituting the given values of ∠2 and ∠3 into the angle - sum formula \(m\ang…
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the regular polygon below is to be rotated about its center. what is th…
$90^{\circ}$
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the regular polygon below is to be rotated about its center. which angl…
$180^{\circ},108^{\circ},288^{\circ}$
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use the graph to answer the question. alice reflected the trapezoid in …
C. $x = 1$
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part 2 - missing side lengths & angles measures 1. the two triangles ar…
In \(\triangle RPK\): \(\angle K = 35^{\circ}\), \(RP = 11\), \(RK=\sqrt{202}\) In \(\triangle FHA\): \(\angle A = 55^{\circ}\), \(HA = 9\), \(FA=\sqrt{202}\)
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sarah transformed △ efg to make △ efg. • are △ efg and △ efg congruent?…
C. Yes, they are congruent. $\triangle EFG$ was translated to form $\triangle EF'G'$
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lesson 5 | session 2 develop performing sequences of transformations in…
The coordinates of $\triangle A''B''C''$ are obtained by first reflecting the coordinates of $\triangle ABC$ across the $x -$axis and then dilating the resulting coordinates by a …
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how many real solutions correspond to x - intercepts based on the graph…
1
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question which angle of rotation would carry a regular octagon onto its…
\(90^{\circ}\)
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question which angle of rotation would carry a square onto itself? answ…
180°
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consider the figures shown. which image could result from taking figure…
B. Figure 3
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question which angle of rotation would carry a regular octagon onto its…
A. $225^{\circ}$
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which angle of rotation would carry a regular dodecagon onto itself? an…
\(90^{\circ}\)对应的选项（假设选项按顺序分别为A、B、C、D、E，这里是B选项）
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a triangle has vertices at c(-4,1), s(-3,3) and r(-1,1). what series of…
A. Reflejar sobre el eje y, luego reflexionar sobre el eje x, luego trasladar 3 unidades hacia abajo
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if the regular pentagon is rotated clockwise around its center, point p…
B. 72°
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a student says that she knows that a parallelogram has two altitudes bu…
C. Extend the shorter side and construct the perpendicular line segment from a vertex not on the side, to the line containing the side.
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graph the solution to the following inequality: 38 - k < 5 - 2k
The solution of the inequality is $k < - 33$. On a number - line, it is represented by an open circle at - 33 and an arrow pointing to the left.
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6 graph the solution to the following inequality: -3(x - 3) ≥ -3 + 3x
The solution set is all real numbers $x$ such that $x\leq2$. On a number - line, you would draw a closed circle at 2 (because the inequality is $\geq$) and shade to the left of 2.
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
a. See the above - step 1 for proof. b. B. Construct two congruent line segments that perpendicularly bisect each other. The endpoints of these line segments will be the vertices …
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
$90$
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trapezoid e is a scaled copy of trapezoid d. what scale factor takes tr…
$1.2$
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
Interior angles on the same side of a transversal
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
SAS is not the correct congruence criterion here. The correct congruence criterion is SSS. Because we know that $AE = EC$, $BE = ED$ (diagonals bisect each other) and $AC = BD$ im…
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6. write the property that justifies each step. solve 4x - 10 = 5x + 17…
The properties are: Subtraction Property of Equality, Addition Property of Equality, Division Property of Equality ### 7.
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a. prove that a quadrilateral whose diagonals are congruent and bisect …
a. The correct option is: ABCD is a parallelogram and its opposite sides are congruent and parallel. b. See the construction steps above. c. See the construction steps above.
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what minimum information is sufficient to determine congruency for each…
a) C. The lengths of one side of each square must be equal b) C. The lengths of the sides of two perpendicular sides of the rectangles must be equal
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what minimum information is sufficient to determine congruency for each…
C. The lengths of one side of each square must be equal
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what type of figure is formed by joining the midpoints of a rectangle (…
D. The figure is a rhombus. By SAS \(\triangle ECF\cong\triangle EAH\cong\triangle FBG\cong\triangle GDH\)
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questions a - e 5 points a) what type of curve does this graph represen…
A) Production - possibility curve B) Efficient resource allocation and full - capacity production of tea and coffee C) Inefficient resource use (unemployment or under - utilizatio…
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find the slope of the line graphed below.
$-\frac{7}{4}$
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39. is this an isometric or orthographic drawing? a. isometric b. ortho…
It depends on the actual drawing. If it shows a 3 - D object with equal - angle projection, it's isometric (A. Isometric). If it's 2 - D views from different directions, it's orth…
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in the rectangle abcd shown, x and y are mid - points of the sides. and…
A. Kite
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find the slope of the line graphed below.
$-2$
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in the rectangle abcd shown, x and y are mid - points of the given side…
A. \(\triangle CYP\cong\triangle BYQ\) by SAS
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part a: the archeologist turns the fragment over, reflecting it over th…
For Part A: $(4,4),(2,4),(4,2),(2,2)$ For Part B: $(-4,-4),(-2,-4),(-4,-2),(-2,-2)$
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in the rectangle abcd shown, x and y are mid - points of the given side…
a) Quadrilateral \(PYQX\) is a parallelogram. Proof: We proved \(\triangle DXP\cong\triangle AXQ\) and \(\triangle CYP\cong\triangle BYQ\) which gives \(PX = QX\) and \(PY = QY\).…
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in the rectangle abcd shown, x and y are mid - points of the given side…
B. \(\triangle PDX\cong\triangle QAX\) by SAS
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what do the \tick\ marks on a triangle mean? (see yellow highlighted po…
Sides are Congruent
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what type of triangle is this? equilateral isosceles scalene obtuse rig…
B. Isosceles
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part b: the archeologist then rotates the fragment 180° about the origi…
(b) If a vertex has original coordinates $(x,y)$, new coordinates after 180 - degree rotation about the origin are $(-x,-y)$. (c) If a vertex has original coordinates $(x,y)$, new…
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what is the value of x? type your answer in the box below. (6x)° (9x - …
9
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what is the value of x? type your answer in the box below. type numeric…
50
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which are other possible names for ∠3? choose all answers that are corr…
∠E, ∠FER, ∠FEP
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an archaeologist is examining an image of a bone - fragment on her comp…
The new coordinates of the vertices are obtained by changing the sign of the x - coordinates of the original vertices while keeping the y - coordinates the same. For example, if a…
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vertical angles are always... complementary supplementary adjacent cong…
1. D. Congruent 2. C. 120 degrees, 60 degrees
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what is the value of x? 2(x + 10)° (3x - 30)° type your answer in the b…
50