Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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below are statements that can be used to prove that the triangles are s…
$\boldsymbol{\angle X \cong \angle C}$ $\boldsymbol{\triangle ABC \sim \triangle ZYX}$ by the SAS similarity theorem.
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what kind of transformation is illustrated in this figure? rotation dil…
D. translation
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circle the correct answer. which topic sentence belongs in body paragra…
The correct answer is: Saki’s imagery suggests the imagination of a child is more useful than adult authority.
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multiple similarity transformations are performed on a triangle. which …
angle measure
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the proof that $\\triangle mng \\cong \\triangle kjg$ is shown. given: …
C. AAS
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which transformations could be performed to show that △abc is similar t…
a 180° rotation about the origin, then a dilation by a scale factor of \( \frac{1}{3} \) (the fourth option)
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quadrilateral abcd is translated down and left to form quadrilateral ol…
10 units (corresponding to the option "10 units")
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which piece of additional information can be used to prove △cea ~ △cdb?…
\(\boldsymbol{\angle BDC}\) and \(\boldsymbol{\angle AED}\) are right angles
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find the missing side. 23 30° y y = ?
\(y=\frac{23\sqrt{3}}{2}\) (or approximately \(19.92\))
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how can a translation and a reflection be used to map δhjk to δlmn? ○ t…
B. Translate \(K\) to \(N\) and reflect across the line containing \(\overline{JK}\)
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point k is on line segment \\(\\overline{jl}\\). given \\(jk = 12\\) an…
\( JL = 15 \)
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find the missing side. 23 30° x x = ?
11.5
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two rigid transformations are used to map δabc to δ qrs. the first is a…
B. a rotation about point B
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read the proof. given: (overline{ab} parallel overline{de}) prove: (\tr…
AA similarity theorem
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then reflection
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find the missing side. 19 36° y (right angle symbol) y = ?
\(y\approx15.37\) (or more precise value depending on calculator precision, e.g., using calculator for \(\cos(36^\circ)\) gives \(y\approx19\times\cos(36^\circ)\approx15.37\))
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which composition of transformations will create a pair of similar, not…
D. a rotation, then a dilation
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two sides and the non-included right angle of one right triangle are co…
A. AAS
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find the missing side. 13 33° y y = ?
\(y \approx 20\) (or more precisely, approximately 19.9 or 20.0, depending on rounding)
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find the missing side. 41° 15 x = ?
\(x\approx13.04\) (or more precise value depending on calculator precision)
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question point k is on line segment (overline{jl}). given (kl = 7) and …
\( JL = 16 \)
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find the missing side. z 21 31° z = ?
\( z\approx40.8 \) (rounded to one decimal place, or more precise as needed)
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did you hear about . . . 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ??? solve …
\( x > 4\frac{1}{3} \) (matches "THE") ### Problem 2: \( 10 - 3x \geq 5x + 26 \)
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find the missing side. 19 36° x x = ?
\( x\approx11.17 \) (or more precise value depending on calculator precision, e.g., using more decimal places for \( \sin(36^\circ) \))
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find the missing side. z 28° 15 $cos(28^circ) = \\frac{15}{z}$ $z = ?$
\(z\approx17.0\) (If we want a more precise value, using a calculator with more decimal places for \(\cos(28^{\circ})\), for example, \(\cos(28^{\circ})\approx0.8829475929\), then…
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directions: select the relationship between the angle and the given mea…
\( m\angle d = 60^\circ \), \( m\angle e = 120^\circ \), \( m\angle h = 60^\circ \), \( m\angle c = 120^\circ \)
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find the missing side. enter sin, cos, or tan. 28° 15 z ?(28°) = \\frac…
\(\cos\); \(15\) (The first box is \(\cos\), the second box is \(15\))
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find the trig ratio. 29 20 θ 21 tan(θ) = ?
\(\frac{20}{21}\)
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find the trig ratio. 29 20 θ 21 sin(θ) = ?
$\frac{20}{29}$
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which diagram could be used to prove △abc ~ △dec using similarity trans…
The first diagram (with \(A\), \(D\) on a vertical segment, \(C\) on \(BE\), and right angles at \(C\)) is the correct choice.
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15. what does the slope of a line represent? a. the angle between the l…
c. The rate of change between the dependent and independent variables
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find the trig ratio. 29 20 θ 21 sin(θ) = ?
$\frac{20}{29}$
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find the trig ratio. tan θ = ?
$\frac{8}{15}$
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which diagram can be used to prove △abc ~ △dec using similarity transfo…
The first diagram (with vertices \(A, B, C\) and \(D, E, C\) intersecting at \(C\), showing vertical angles and congruent marked angles).
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find the trig ratio. right triangle with hypotenuse 17, adjacent side t…
$\frac{15}{17}$
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b a 30° c a c b=10 ∠b=30° b=10 a=? c=? ∠a=?
\(\angle A = 60^{\circ}\), \(a = 10\sqrt{3}\), \(c = 20\)
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find the trig ratio. 17 8 θ 15 sin θ = ?
$\frac{8}{17}$
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select the statement that is the inverse of the following statement: if…
If a polygon isn't equiangular, then all its interior angles don't have the same measure.
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point f is on line segment \\(\\overline{eg}\\). given \\(ef = 6\\) and…
The length of \( \overline{EG} \) is \( 14 \).
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find the trig ratio. first, find the hypotenuse. diagram of right trian…
17
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two similar triangles are shown. δrst was ________, then dilated, to cr…
B. reflected
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rectangle abcd was dilated to create rectangle abcd. what is ab? ○ 6 un…
6 units
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select the statement that is the answer of the following statement: if …
The statement that is the answer (logical equivalent) is: "If a polygon’s exterior angles don’t have the same measure, then it isn’t regular" (the first option among the given cho…
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question select the statement that is the inverse of the following stat…
If Alexandra doesn't eat peanuts, then she won't break out in hives.
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which must be true in order for the relationship δzyx ~ δwvu to be corr…
\(\boldsymbol{\angle Z \cong \angle W \text{ and } \angle X \cong \angle U}\) (the last option: \(\boldsymbol{\angle Z \cong \angle W \text{ and } \angle X \cong \angle U}\))
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1 in this diagram, lines m and n are parallel. diagram of lines m, n, a…
A. They are corresponding angles, and they are congruent. ### Problem 2
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what is the measure of ∠jhn? ○ 25° ○ 45° ○ 50° ○ 95° (diagram: intersec…
First, we know that the sum of angles on a straight line is \(180^\circ\). So, \((3x + 20)^\circ+(x + 25)^\circ+(x + 20)^\circ = 180^\circ\). Combining like terms: \(3x+x+x+20 + 2…
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identifying types of angles: check all relationships between ∠1 and ∠2.…
(Problem 1): Vertical (check the box for Vertical) ### Problem 2:
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triangle abc has the angle measures shown. m∠a=(2x)° m∠b=(3x)° m∠c=(4x)…
B. \(m\angle B = 60^\circ\)
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which figures are shown in the diagram? select three options. □ line cd…
- point D - ray CD - segment CD
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jennifer is given the two triangles... can she prove the triangles are …
1. First Question: D. No, the congruent sides are not in corresponding locations relative to the given angles. 2. Second Question: B. $\angle1\cong\angle6$ 3. Third Question (assu…
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look at the diagram and evaluate. which of the statements below is true…
VY > WX
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a regular polygon has possible angles of rotational symmetry of 20°, 40…
18 (corresponding to the option with 18, e.g., if the options are A.10, B.12, C.18, D...., then the answer is C. 18)
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1 in the graph below, △e’f’g’ is the image produced by applying a trans…
C. \((x',y')=(x, - y)\) ### Second Sub - Question (Triangle Congruence by SSS)
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we know that angle 1 is congruent to angle 3 and that line a is paralle…
B. \(\boldsymbol{\angle1 \cong \angle2}\)
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line st and point v are shown on the graph. line vw is to be drawn on t…
3
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given: ab = 12 ac = 6 prove: c is the midpoint of (overline{ab}). diagr…
transitive (of equality)
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1 in the diagram below, the solid figure is the image of the dashed fig…
A. \(f(x,y)\to f'(x - 3,y - 3)\) ### Second Problem (Right Diagram)
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figure rhom is a rhombus. $overline{ro}$ and $overline{hm}$ are the dia…
It must be a right angle.
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consider the diagram. what is qs? 2 units. 5 units 17 units. 33 units. …
17 units.
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how long is yw? o a. 8 cm o b. 6 cm o c. 4 cm o d. 2 cm reset dakoda l …
C. 4 cm
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8 in rectangle fghi, diagonals intersect at e. ( ie = 3x + 4 ), ( eg = …
D. 38 units ### Problem 9 (Parallelogram Angles)
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look at the diagram and evaluate. which of the statements below is true…
\( \boldsymbol{HK > IK} \) (the first option)
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look at the diagram and evaluate. which of the statements below is fals…
\( IJ > JK \) (the first option)
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distance formula: part 1 1 more question to go which of the following w…
Two of these are incorrect.
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6 this shows a diagram and a proof. u r f s given: parallelogram ursf w…
A. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. ### Question 7:
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thursday: proportions (\frac{3}{4} = \frac{x}{8}) challenge: (\triangle…
$X = 6$
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which undefined term is used to define an angle? line plane point ray
D. ray
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take the lifevalues quiz instructions: circle the letter of the stateme…
(Subjective, example answers: 1. a. My family members are on board with my decision, and the vehicle will serve all our needs as a family. 2. c. A home in a nice neighborhood that…
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which pair of undefined terms is used to define a ray? line and plane p…
D. point and line
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9. which of the following graphs does not represent a function? a. a cu…
b. A circle.
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which is the definition of a line segment? a figure formed by two rays …
D. a part of a line that has two endpoints (assuming the last option is labeled D; if the original labels were different, adjust the label but keep the text: e.g., if the last opt…
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name: ______ angle relationship pra directions: 1) identify the relatio…
The angle relationship is Complementary. The equation is \((x + 15)+50=90\) and \(x = 25\).
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which figure represents an undefined term?
The fourth figure (the one with arrows on both ends, passing through points \( X \) and \( Y \))
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which line is parallel to line r? line p line q line s line t
line s
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look at the diagram and evaluate. which of the statements below is true…
WX > UV (the option "WX > UV")
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which is the endpoint of a ray? ○ point r ○ point s ○ point t ○ point u
point S
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which point is the center of the circle? ○ point w ○ point x ○ point y …
point X
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which is defined using the undefined terms point and line? ○ angle ○ ci…
D. ray
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which is a property of an angle? ○ has two sides that each extend forev…
has two rays that share a common endpoint
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which defines a circle? two rays with a common endpoint a piece of a li…
D. all coplanar points equidistant from a given point
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which graph shows a dilation? three coordinate - plane graphs (with x -…
The first graph (with the two rectangles centered at the origin, same proportions, different sizes) shows a dilation.
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triangle mnp is dilated according to the rule ( d_{o, 1.5} (x,y) \to (1…
M'(-6, 9) and N'(3, 9)
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which composition of similarity transformations maps polygon abcd to po…
a dilation with a scale factor less than 1 and then a translation
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2 these five frames show a shape’s different positions:
To determine the pattern of the shape's movement (translation and rotation), we analyze each frame: ### Step 1: Analyze Translation (Frames 1→2) Frame 1 to Frame 2: The shape **tr…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(\frac{1}{5}\)
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use the coordinate grid below to answer the question. which four points…
The four points that are the vertices of a square are \( A(-4, 4) \), \( B(2, 4) \), \( G(2, -2) \), and \( F(-4, -2) \) (or other valid square like \( B(2, 4) \), \( C(5, 4) \), …
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find the following in degrees without using a calculator. cos⁻¹(cos 43°…
\(43\)
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fill in the blank 1 point choose your answer... all squares are rectang…
All squares are rectangles
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4 fill in the blank 1 point describe the venn diagram using a condition…
If a figure is a square, then it is a rectangle.
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matching mathematical terms and definitions match the definitions to th…
1. "all coplanar points equidistant from a given point" → circle 2. "two rays with a common endpoint" → angle 3. "piece of a line with two endpoints" → line segment 4. "piece of a…
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2. which graph fails the vertical line test? a. a v - shaped graph ($y …
d. A circle
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the center of the circle is point (dropdown options: x, y, o, w)
O
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(a) write two other names for $\\angle qmp$. and (b) name the vertex of…
$\angle PMQ$ and $\angle 2$ ### Part (b)
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the two rays that create ∠yox are ray ox and ray; ray ox and ray oz is …
OY
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the angle created by ray ox and ray oz is angle the two rays that creat…
D. XOZ (assuming the options are labeled A to D with D being XOZ, if not, the correct option is the one with "XOZ" as the angle name)
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parallelogram mnpq was dilated to create parallelogram mnpq. which stat…
The three true statements are: - The length of side MN is 2 units. - The length of side M'N' is 5 units. - Sides MQ and M'Q' both have the same slope, 1.
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what is the area of the triangle? image of a purple triangle with a hei…
20
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what are the rigid transformations that will map △abc to △def? translat…
D. Translate vertex A to vertex D, and then rotate $\triangle ABC$ around point A to align the sides and angles.
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which pair of triangles can be proven congruent by the hl theorem?
The pair of right - angled triangles (the third option in the list of triangle pairs) where the hypotenuse and one leg are congruent (as indicated by the congruence markings) can …