Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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graph the solution to the inequality below on the number line.\\( y leq…
To graph \( x = 9 \) on the number line, place a dot (using the dot tool from the given options) at the position labeled 9 on the number line (between 8 and 10, moving from left t…
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geometry mock ia exam directions: show all of your work for each questi…
a. \(\angle BCA \cong \angle DCE\) ### Question 2
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answer figure klmno is not congruent to figure efghi because rigid moti…
1. Figure KLMNO is not congruent to Figure EFGHI because rigid motions cannot be used to map Figure KLMNO onto Figure EFGHI. 2. Figure KLMNO is similar to Figure EFGHI because rig…
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refer to the figure for exercises 1 and 2. which represents the name of…
The correct option (assuming the labels are like Ray KR or the corresponding notation) would be the one where the ray is denoted with K as the endpoint and R as the point it passe…
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refer to the figure for exercises 1 and 2. which represents the name of…
(Assuming the correct option is, for example, the one labeled "Ray RK left" or similar with \( K \) as endpoint and passing through \( R \); since the image is blurry, but based o…
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which angle forms a linear pair with ∠mps? angle rpn angle rpm angle mp…
Angle MPJ
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partially correct your answer is incorrect. one of the figures is incor…
- First Figure (V, W, Y, X): Quadrilateral, Parallelogram, Rectangle (all checked) - Second Figure (A, B, D, C): Quadrilateral, Parallelogram, Rectangle (all checked) - Third Figu…
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incorrect your answer is incorrect. two or more of the figures are inco…
- Figure 1: Quadrilateral (checked), Parallelogram (checked), Rectangle (checked) - Figure 2: Quadrilateral (checked) - Figure 3: Quadrilateral (checked) (In the original problem’…
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9. what is the length of segment eg? figure 1 shows a rectangle efgd wi…
14
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which triangle is the original triangle, and which triangle is the dila…
D. Original Triangle: ABC, Dilated Triangle: ADE
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10) δnqp ~ δcde 12) δrst ~ δref
s: For the first problem, $x = 42$. For the second problem (correcting the proportion based on likely corresponding sides), $x = 3$.
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can two triangles having angles 30°, 60°, and 90° be congruent? why or …
Two triangles with angles \(30^{\circ}\), \(60^{\circ}\), and \(90^{\circ}\) \(\boldsymbol{\text{can be congruent}}\) or may not be congruent. They are similar (due to equal angle…
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is the point of intersection of the two lines, which is \( (-6,-3) \)
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question find the length of side ( x ) to the nearest tenth. (right tri…
$4.6$
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question the triangle below is equilateral. find the length of side x t…
$2.6$
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which vertex is the center of dilation? options: a, c, d, e, b (with a …
A. A
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3. is \\(\\overline{cp}\\) a perpendicular bisector of \\(\\overline{ab…
No, $\overline{CP}$ is not a perpendicular bisector of $\overline{AB}$. Although $\overline{CP}$ is perpendicular to $\overline{AB}$, it does not bisect $\overline{AB}$ (point $P$…
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find the length of side x to the nearest tenth. (right triangle with an…
$2.3$
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the triangle below is equilateral. find the length of side $x$ to the n…
$x = 10.4$
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find the length of side $x$ to the nearest tenth. (right triangle with …
15.6
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1) dilate a using p as the center of dilation and a scale factor of 3. …
1. Point $A'$ is located 3 concentric circles away from center $P$, along the same radial line as point $A$. 2. Point $B'$ is located 4 concentric circles away from center $P$, al…
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find the length of side $x$ to the nearest tenth. (there is a right tri…
1.7
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express \\(\\cos w\\) as a fraction in simplest terms. triangle image w…
\( \boxed{\dfrac{\sqrt{42}}{18}} \)
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find the length of side $x$ to the nearest tenth. (there is a right tri…
$x \approx 12.7$
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express cos a as a fraction in simplest terms. right triangle abc with …
$\frac{24}{25}$
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find the perimeter of rhombus efgh. draw rhombus efgh with side ef labe…
108
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find the length of side $x$ to the nearest tenth. (there is a right tri…
$1.1$
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to the nearest hundredth, if necessary. 3) volume: (image of a cylinder…
\( \approx 2412.74 \, \text{mm}^3 \) ### Problem 6 (Cylinder with \( r = 6 \, \text{cm}, h = 8 \, \text{cm} \))
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the triangle below is isosceles. find the length of side $x$ to the nea…
15.6
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find the length of side $x$ to the nearest tenth. triangle image: right…
2.1
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in parallelogram pqrs, ( mangle qtr = 57^circ ), ( mangle pqs = 17^circ…
$40^\circ$
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part a indicate whether each point is located in quadrant i, quadrant i…
To solve this, we analyze each point based on the sign of its \(x\)- and \(y\)-coordinates: ### Point \(P(2, 5)\) - \(x = 2>0\), \(y = 5>0\) - Quadrant I (both \(x,y\) positive) #…
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igure. round answers to the nearest hundredth, if necessary. 2) 12 mm 6…
\( 113.10 \text{ mm}^3 \) (or \( 36\pi \text{ mm}^3 \)) ### Problem 5: Volume of Cone (6 in radius, 14 in height)
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find the length of side x to the nearest tenth. (there is a right trian…
$4.6$
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find the length of side x to the nearest tenth. triangle with right ang…
$1.9$
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find the length of side x to the nearest tenth. (image of a right isosc…
$2.3$
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find the length of side x to the nearest tenth. (right triangle with le…
$2.2$
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select the correct answer from each drop - down menu given: $\\angle ao…
1. First dropdown: $\boldsymbol{\angle AOB \cong \angle COD}$ 2. Second dropdown: $\boldsymbol{\angle EOF \cong \angle DOE}$ 3. Third dropdown: $\boldsymbol{\angle AOB cong \angle…
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find the length of side ( x ) to the nearest tenth. (there is a right -…
$x = 2.0$
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select the correct answer from each drop - down menu. how are rays and …
First dropdown (for angle definition): rays that extend from a common point Second dropdown (angle measure relation): not
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select the correct answer from each drop - down menu. how are rays and …
A ray is part of a line that has an endpoint and extends infinitely in one direction, and an angle is not related to the length of its sides. So, the measure of an angle depends o…
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select the correct answer from each drop - down menu. how are rays and …
A ray **has one endpoint and extends infinitely**, and an angle is two **rays with a common endpoint**. The measure of an angle **is not** related to the length of its sides. So, …
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select the correct answer from each drop - down menu given: ( cd = ef )…
**Statement:** $CE = DF$ **Reason:** transitive property of equality
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22. a 180° rotation of point (4, -1) around the origin gives: a. (-4,1)…
a. \((-4,1)\) ### Question 23
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which graph represents $x \ eq 4$? a. open circle at 4 with shading on …
a. Open circle at 4 with shading on both sides
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drag the tiles to the boxes to form correct pairs. match the mathematic…
- regarded as the father of geometry ↔ Euclid - Thales ↔ a Greek philosopher who contributed to five theorems of elementary geometry - Hippocrates ↔ a Greek geometer who has a the…
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can you show that this quadrilateral is a parallelogram? 81 74 yes no
no
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find the length of side x in simplest radical form with a rational deno…
\(x = 8\sqrt{2}\)
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find the value of w that makes quadrilateral defg a parallelogram. (the…
$w = \frac{121}{3}$ or approximately $40.33^\circ$
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can you show that this quadrilateral is a parallelogram? image of a qua…
yes
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can you show that this quadrilateral is a parallelogram? image of a qua…
no
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can you show that this quadrilateral is a parallelogram? image of a qua…
yes
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can you show that this quadrilateral is a parallelogram? 44° 142° yes no
no
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find the missing side of each triangle. round your answers to the neare…
3) $x \approx 6.4$ 4) $x = 40$ 5) $\cos A = 0.8000$ 6) $\tan X \approx 1.3333$ 7) $\tan C \approx 0.2917$ 8) $\sin A \approx 0.8824$
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the figure shows the terminal ray of angle $\\theta$, in standard posit…
A. $g(\omega) < g(\theta)$
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graph the reflected image or determine the points of the reflected imag…
To solve these reflection problems, we use the rules for reflecting points over different lines: ### 5) Reflection across \( y = x \) The rule for reflecting a point \((x, y)\) ac…
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dn - reflection of geometric figures identify the reflection line. 1) 2…
x - axis (or \( y = 0 \)) ### Problem 2:
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3 muna is making a scale drawing of a gecko. the gecko is $\frac{1}{2}$…
a. 10 inches b. The ratio of length to width for the actual gecko is 10, and the ratio of length to width for the drawing is also 10, so the answer is correct.
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semester 1: unit 4 exam review domain & range domain: (square leq x leq…
Domain: $\boldsymbol{0 \leq x \leq 14}$ Range: $\boldsymbol{0 \leq y \leq 80}$
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find gi. write your answer as an integer or as a decimal rounded to the…
\( 3.3 \)
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find st. right triangle rst with right angle at r, rt = 4.4, angle at s…
8.1
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find uv. u √5 70° w v write your answer as an integer or as a decimal r…
1.6
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find fg. write your answer as an integer or as a decimal rounded to the…
\( 3.7 \)
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2. name the missing coordinates. image of a rectangle on a coordinate p…
$Q(-3b,a)$, $S(3b,0)$, $T(-3b,0)$
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1. name the missing coordinates. a(-a, c) b(a, b) o x c(?, ?) d(?, ?) g…
$C(a, -b)$, $D(-a, -c)$
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
The reason for \( \overline{DF} \cong \overline{BE} \) is "If \( \overline{DC} \cong \overline{BC} \) and \( \overline{FC} \cong \overline{EC} \), then \( \overline{DC}-\overline{…
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
The reason for \( \triangle DEC \cong \triangle BFC \) is the Side - Angle - Side (SAS) Congruence Postulate.
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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which of the following describes the transformation from the preimage t…
A reflection over the y - axis
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given: abcd is a rhombus and \\(\\overline{fc} \\cong \\overline{ec}\\)…
The reason for \(\overline{DC}\cong\overline{BC}\) is "All sides of a rhombus are congruent" (or "Definition of a rhombus: sides are equal").
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which image shows the preimage reflected over the y - axis? options: im…
Image C
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis (the option with "A reflection over the x - axis")
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which of the following describes the transformation from the preimage t…
A reflection over the x - axis
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which of the following describes the transformation from the preimage t…
A. A reflection over the y - axis
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which image shows the preimage reflected over the x - axis? options: im…
Image B
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which of the following describes the transformation from the preimage t…
B. A reflection over the y - axis
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which of the following describes the transformation from the preimage t…
C. A translation left 10 units (Wait, no, the options are labeled as first: A reflection over x-axis, second: A translation left 10 units? Wait, the options are: 1. A reflection o…
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which of the following describes the transformation from the preimage t…
A. A reflection over the x - axis
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find the sine, cosine, and tangent of ∠t. right triangle tus with right…
\( \sin(T) = \boldsymbol{\frac{\sqrt{13}}{5}} \) \( \cos(T) = \boldsymbol{\frac{2\sqrt{3}}{5}} \) \( \tan(T) = \boldsymbol{\frac{\sqrt{39}}{6}} \)
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three shapes are shown. shape f (a trapezoid), shape g (a rhombus), sha…
B. Shapes F, G, and H
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find the sine, cosine, and tangent of ∠b. triangle with right angle at …
\(\sin(B)=\boldsymbol{\frac{\sqrt{627}}{38}}\) \(\cos(B)=\boldsymbol{\frac{\sqrt{817}}{38}}\) \(\tan(B)=\boldsymbol{\frac{\sqrt{1419}}{43}}\) (Alternatively, if we don't rationali…
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select the correct figure. which figure appears to be correctly marked …
The top-left figure
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select the correct answer from each dropdown menu. three shapes are sho…
The first dropdown: acute and one obtuse; The second dropdown: parallel
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which figure appears to have exactly one line of symmetry? figure p fig…
C. figure Q
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select the correct shapes. select all of the shapes that have at least …
The pink square, the square with the purple triangle (the square - triangle combination)
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which figure has no lines of symmetry? figure p figure q figure r figur…
C. figure S
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in the figure below, $m\\angle 1 = 5x^\\circ$ and $m\\angle 2 = (x - 12…
$m\angle1 = 85^\circ$ $m\angle2 = 5^\circ$
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find the cosine of ∠r. triangle rqs with right angle at q, rq = 2√6, qs…
$\frac{2\sqrt{546}}{91}$ (or simplified as $\frac{2\sqrt{6}}{\sqrt{91}}$ rationalized to $\frac{2\sqrt{546}}{91}$)
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in the figure below, $m\\angle 1 = (x - 9)\\degree$ and $m\\angle 2 = 6…
$m\angle 1 = 18^\circ$ $m\angle 2 = 162^\circ$
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find the tangent of $\\angle i$. triangle with right angle at k, side i…
\(\frac{4\sqrt{41}}{41}\)
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find the area of this parallelogram. be sure to include the correct uni…
84 square yards
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find the area of this parallelogram. be sure to include the correct uni…
$99$ square centimeters
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find the tangent of ∠x. triangle with right angle at w, yw = 4, yx = 10…
\(\frac{2\sqrt{21}}{21}\)
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solve the inequality and graph the solution. $c + 7 < 10$ to draw a ray…
The solution to the inequality \( c + 7<10 \) is \( c < 3 \). The graph of the solution has an open circle at 3 and an arrow pointing to the left on the number line.
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which image shows the preimage reflected over the y - axis? options: im…
Image C
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find the sine of ∠s. right triangle rqs with right angle at r, rq = 8, …
$\frac{4\sqrt{21}}{21}$
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for the following right triangle, find the side length x. right triangl…
10
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select the correct answer from each dropdown menu. three shapes are sho…
The first dropdown: obtuse The second dropdown: parallel (Note: Since the problem is about shapes' angles and sides, the subfield is Geometry (Mathematics). The solution involves …
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a rectangular region is removed from another rectangular region to crea…
69 $\text{ft}^2$