Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the surface area and the volume of the following cone. (1) surface…
(1) $(36 + 6\sqrt{61})\pi$ (2) $60\pi$
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omar is fertilizing his garden. the garden is in the shape of a rectang…
9
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find tan a a. 4.5556 c. 4.4444 b. 0.225 d. 1.025 please select the best…
B. 0.225
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find tan a for the triangle below. a 10 24 26 a. 0.4167 b. 0.385 c. 2.4…
C. 2.4
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find the angle with a tangent ratio of 0.6009. a. 51° b. 39° c. 31° d. …
C. $31^{\circ}$
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consider the following triangle. determine the measure of the angle rep…
C. $39.8^{\circ}$
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find the angle of elevation to the top of a 150 - ft flagpole from a po…
A. $71.6^{\circ}$
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the steepness, or grade, of a highway or railroad is expressed as a per…
A. $10.2^{\circ}$
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6. in the diagram below, lines m and n are parallel and are crossed by …
6(a) Alternate interior angles 6(b) $x = 17$ 6(c) $m\angle1 = 63$ 7(a) Corresponding angles 7(b) Alternate interior angles 7(c) Corresponding angles 7(d) Same - side interior angl…
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kat is painting the edge of a triangular stage prop with reflective ora…
40 feet
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in the figure below, △nop is drawn. the line qr is drawn such that qr||…
$85^{\circ}$
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1. if lines $overline{ab}$ and $overline{cd}$ are parallel to each othe…
1. (2) $\overline{AB}\parallel\overline{CD}$ 2. (3) 0 3. (1) $\overline{EF}$ and $\overline{HG}$ 4. (4) $\angle3$ and $\angle6$ 5. (1) 1
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choosing the right word. circle the boldface word that more satisfactor…
1. avowed 2. bountiful 3. incognito 4. minimize 5. maimed 6. legendary 7. detriment 8. enterprising 9. invalidated 10. wanton 11. veering 12. frugal 13. congested 14. venerate 15.…
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we will work far more with parallel lines and all these different angle…
Draw a line through point $P$ that is parallel to line $m$ using a straight - edge and set - square as described above.
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when two lines are intersected by a third line, known as a transversal,…
$m\angle2 = 55^{\circ}$, $m\angle3 = 125^{\circ}$, $m\angle4 = 55^{\circ}$, $m\angle5 = 125^{\circ}$, $m\angle6 = 55^{\circ}$, $m\angle7 = 125^{\circ}$, $m\angle8 = 55^{\circ}$
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when two lines are intersected by a third line, known as a transversal,…
\(m\angle2 = 55^{\circ}\), \(m\angle3 = 125^{\circ}\), \(m\angle4 = 125^{\circ}\), \(m\angle5 = 125^{\circ}\), \(m\angle6 = 55^{\circ}\), \(m\angle7 = 125^{\circ}\), \(m\angle8 = …
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when two lines are intersected by a third line, known as a transversal,…
\(m\angle2 = 55^{\circ}\), \(m\angle3 = 125^{\circ}\), \(m\angle4 = 55^{\circ}\), \(m\angle5 = 125^{\circ}\), \(m\angle6 = 55^{\circ}\), \(m\angle7 = 125^{\circ}\), \(m\angle8 = 5…
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for each pair of figures below, choose how they are related. translatio…
1. None of these 2. Reflection 3. Rotation 4. Reflection
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the area of a rectangle is (x³ - 5x² + 3x - 15), and the width of the r…
D. $x - 5$
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which angle is supplementary to ∠4?
∠3
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which angle is vertical to ∠3? ∠2 ∠6 ∠1 ∠5
∠6
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fill in the missing reasons for the proof of the theorem that all right…
1. Given 2. Definition of right angles 3. Substitution Property of Equality 4. Definition of congruent angles
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type the correct answer in the box. spell all words correctly. point is…
E
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select the correct answer from each drop - down menu. in the figure, a …
First blank: Alternate Exterior Angles Theorem Second blank: Linear Pair Postulate
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what is the slope of this line? simplify your answer and write it as a …
$2$
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which figure has the same shape as figure a? figure b figure c figure d…
figure D
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reflect (4, 6) across the x - axis. then reflect the result across the …
$(-4,-6)$
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figure u is the result of a transformation on figure t. which transform…
A rotation 90° clockwise about the origin
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which angle is adjacent to ∠5?
∠6
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which angles are vertical to ∠6? select all that apply.
∠5, ∠8
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the figure below has a point marked with a large dot. first, rotate the…
$(1, - 4)$
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solve the linear inequality for y. graph your answer in the number line…
The solution in inequality notation is $y < 0$. On the number - line, there is an open circle at 0 and the line extends to the left.
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which angle is adjacent to ∠2?
∠3
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1.c in each case, use the new theorems to arrange the lettered measures…
$\beta$, $\alpha$, $\gamma$
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a side of the triangle below has been extended to form an exterior angl…
\(108^{\circ}\)
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find the area of the figure. (sides meet at right angles.)
115
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question determine a series of transformations that would map figure j …
A translation 5 units to the right followed by a translation 11 units up.
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select the correct answer from each drop - down menu. find the approxim…
The approximate length of side \(UV\) is \(5\) units. The approximate length of side \(VW\) is \(6\) units. The approximate length of side \(WU\) is \(7.81\) units. The approximat…
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solve for x and graph the solution on the number line below. 3 < x - 5 …
> Inequality Notation: $x > 8$ Number Line: On the number - line, draw an open circle at 8 (because 8 is not included in the solution set) and shade the line to the right of 8.
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which transformation would take figure a to figure b? answer a clockwis…
A reflection over the y - axis
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the triangles are congruent by the sss congruence theorem. which rigid …
translation, then rotation
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3. the length of a rectangle is $\frac{w + 3}{w^{2}+w - 12}$ and the wi…
$\frac{x + 3}{(x - 3)^{2}}$
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point c lies on $overline{ab}$ such that $ac:bc$ is $1:2$. graph c.
# Explicación: ## Paso 1: Identificar coordenadas de A y B Supongamos que \(A=(x_1,y_1)=(- 6,2)\) y \(B=(x_2,y_2)=(5,8)\). ## Paso 2: Usar fórmula de punto de división Como \(AC:B…
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when two lines are intersected by a third line, known as a transversal,…
(a) All acute angles are congruent. (b) All obtuse angles are congruent. (c) \(\angle1\) and \(\angle5\), \(\angle2\) and \(\angle6\), \(\angle3\) and \(\angle7\), \(\angle4\) and…
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parmi les figures suivantes, lesquelles sont des polygones non convexes?
D. The arrow - shaped figure, E. The L - shaped figure
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find the slope of the line graphed below.
-2
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what is the measure of ∠xbc? 1. m∠xbc = m∠bac + m∠bca 2. 3p - 6 = p + 4…
135
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comment appelle-t-on un triangle dont les angles mesurent 30°, 30° et 1…
Triangle isocèle obtusangle
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1. judy wants to give a magic cone to eddie. help her choose the most s…
A.
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find the slope of the line graphed below.
$-2$
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parmi les figures suivantes, lesquelles possèdent 2 paires de côtés par…
C. Carré, D. Rectangle, E. Losange, F. Parallélogramme
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associe chaque pyramide à sa description. je suis une pyramide dont la …
1. Match the pyramid with a trapezoid - looking base to "Je suis une pyramide dont la base est un trapèze." 2. Match the pyramid with a five - sided base to "Je suis une pyramide …
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graph the interval represented in inequality notation on the number lin…
On the number line, place a closed - circle at $-3$ and shade the line to the left of $-3$ towards negative infinity.
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which statements regarding the diagram are true? check all that apply. …
- \(\angle EFG\) is an interior angle of \(\triangle EFG\). - \(\angle FEZ\) is an exterior angle of \(\triangle EFG\). - \(\angle YGE\) is an exterior angle of \(\triangle EFG\).…
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déterminez le nombre de faces, de sommets et darêtes qui constituent ce…
Nombre de faces ($F$): 9 Nombre de sommets ($S$): 9 Nombre d'arêtes ($A$): 16 $F + S - A$: 2
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find the surface area and volume of the following cylinder. (1) surface…
(1) $80$ (2) $96$
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question 40 of 40 if △abc~△def and the scale factor from △abc to △def i…
B. 2, 2, 5
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question 39 of 40 a student inscribes a triangle within a semicircle. w…
A. 90°
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question 38 of 40 what is the name of a polygon that has four congruent…
D. Rhombus
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question 37 of 40 in the rectangle below, ac = 36 units. what is de? a.…
D. 18
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question 36 of 40 if two triangles have three pairs of congruent angles…
A. True
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question 35 of 40 if the sum of interior angle measures of a polygon is…
C. 7
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question 34 of 40 given circle x with radius 10 units and chord ab with…
A. 8 units
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question 33 of 40 use the given information to determine which of the f…
C. We cannot prove any relationship based on these data.
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question 32 of 40 the figure shows a person estimating the height of a …
A. $\frac{h}{12}=\frac{6}{5}$
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answer attempt 2 out of 2 which side in the figure on the right corresp…
1. **Corresponding side**: Segment $JH$ 2. **Scale - factor**: Let's assume we find the lengths of corresponding sides. For example, if we consider a horizontal or vertical side. …
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question 31 of 40 in △def, sin d = 24/26. what is cos e? a. 24/26 b. 10…
A. $\frac{24}{26}$
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question 30 of 40 which of these angle pairs are congruent because they…
A. 1 and 3
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question 29 of 40 the ratio \\(\\frac{adjacent}{hypotenuse}\\) describe…
C. Cosine
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question 28 of 40 a building casts a 50 - foot shadow. alex is 5 feet t…
B. 42 ft
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number of sectors that are formed will be equal to $\frac{360^{circ}}{n…
D. $2\pi r\div\frac{360}{n}$
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reflect (8, - 4) across the x - axis. then reflect the result across th…
$(8,-4)$
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question 26 of 40 if the bases of an isosceles trapezoid have lengths o…
C. 18.5 units
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question 25 of 40 suppose a triangle has two sides of length 32 and 35,…
B. $c^{2}=32^{2}+35^{2}-2(32)(35)\cos120^{\circ}$
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question 24 of 40 each exterior angle of a regular polygon measures 45°…
A. 8
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try again your answer is incorrect. reflect (-9, 5) across the y - axis…
$(9,-5)$
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question 23 of 40 find the value of x that makes abcd a parallelogram. …
C. 25
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question 22 of 40 if ∠a = 28°, what must the measure of ∠d be in order …
A. $28^{\circ}$
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solving for interior angle measures. what is the m∠acb? (4x)°. (7x - 20…
50°
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reflect (-9, 5) across the y - axis. then reflect the result across the…
$(9,-5)$
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highlight the direct objects. the noisy seagulls lazily circled the bea…
the beach, breadcrumbs
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highlight the adjective. the noisy seagulls lazily circled the beach, s…
noisy
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highlight the adverb that tells how or where. noun/pronoun verb article…
lazily
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highlight the conjunction. the noisy seagulls lazily circled the beach,…
so
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the image (green) is the result of a transformation on the pre - image …
A translation 2 units right and 1 unit down
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highlight the simple subjects. noun/pronoun verb article adjective prep…
seagulls, Paula
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the image (green) is the result of a transformation on the pre - image …
A rotation 90° counter - clockwise about the origin
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the image (green) is the result of a transformation on the pre - image …
A translation 3 units right and 4 units down
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draw all lines of symmetry for the following figure.
Draw 2 diagonal lines (one from top - left to bottom - right and the other from top - right to bottom - left) and 2 perpendicular lines (one vertical and one horizontal) passing t…
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the image (green) is the result of a transformation on the pre - image …
A. A reflection over the y - axis
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the image (green) is the result of a transformation on the pre - image …
D. A rotation 90° clockwise about the origin
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the image (green) is the result of a transformation on the pre - image …
D. A reflection over the y - axis
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the image (green) is the result of a transformation on the pre - image …
B. A translation 8 units to the right and 6 units down
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the image (green) is the result of a transformation on the pre - image …
A rotation 180° clockwise about the origin
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the image (green) is the result of a transformation on the pre - image …
A reflection over the x - axis
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(a) an angle measures 37°. what is the measure of its complement? (b) a…
measure of the complement: $53^{\circ}$ measure of the supplement: $119^{\circ}$
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(a) an angle measures 59°. what is the measure of its complement? (b) a…
measure of the complement: $31^{\circ}$ measure of the supplement: $48^{\circ}$
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analyzing angle pair relationships of parallel lines cut by a transvers…
angle 2 and angle 5
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analyzing angle pair relationships of parallel lines cut by a transvers…
congruent to
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analyzing angle pair relationships of parallel lines cut by a transvers…
angle 4 and angle 8