Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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if line m || line n and ∠2 measures 47°, what is the measure of ∠5? 133…
D. 47°
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(a) an angle measures 101°. what is the measure of its sup (b) an angle…
measure of the supplement: $79$ measure of the complement: $56$
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find the value of x. 60° a. 60° b. 48° c. 120° d. 67°
A. \(60^{\circ}\)
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which of the angles in the figure are supplementary to angle 4? o ∠1,∠4…
B. $\angle3$ and $\angle1$
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find the value of x. 68° a. 138° b. 78° c. 68° d. 56°
d. 56°
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3. if $mangle1=(4x - 3)^{circ}$ and $mangle2=(3x + 8)^{circ}$, find the…
\(x = 25\)
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if angle four is equal to 4x - 6, and angle 6 is equal to 2x-12, solve …
C. -3
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which of the angles in the figure are supplementary to ∠5? m n ∠6 only …
∠6 and ∠7 only
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a graphic designer wants to translate rectangle defg using (t_{-1,2}(x,…
The image of rectangle DEFG has vertices $D'(-2,5),E'(3,5),F'(3,3),G'(-2,3)$.
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use the figure to complete each part. (a) name the vertex of ∠dba. (b) …
(a) B (b) ∠2, ∠DBC (c) Ray BA, Ray BC
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what is the value of p? p = 10°
$10$
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triangle qrs has vertices q(8, -6), r(10, 5), and s(-3, 3). what are th…
$Q'=(0.4,-1.7)$ $R'=(2.4,9.3)$ $S'=(-10.6,7.3)$
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question 5 is ∠def the same as ∠fed? yes not enough information depends…
A. Yes
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name the indicated angle o ∠hij o ∠hmg o ∠mhj o ∠jmh
D. $\angle JMH$
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look at this diagram: if df and gi are parallel lines and m∠deh = 136°,…
$136$
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name the indicated angle
B. $\angle KMI$
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1. if two angles add up to 180° they are ______________ angles. 2. if t…
1. Supplementary 2. Complementary 3. \(45^{\circ}\) 4. \(8^{\circ}\) 5. \(67^{\circ}\) 6. \(7^{\circ}\) 7. \(105^{\circ}\) 8. \(88^{\circ}\) 9. \(\angle AEB\) and \(\angle BEC\), …
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which rule describes the translation? (x,y)→(x - 8,y - 3) (x,y)→(x - 3,…
$(x,y)\to(x + 8,y - 3)$
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name the indicated angle. question 3 name the indicated angle
The first - indicated angle: ∠GMJ The second - indicated angle: ∠IMK
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assume each figure shown has the same orientation. which figure is the …
Square 4
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if (mangle pqs = mangle rqs = 70^{circ}, ps = w + 6,) and (rs = 11w - 9…
$16$
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name the indicated angle.
B. \(\angle HML\)
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a triangle is drawn on the coordinate plane. it is translated 4 units r…
(x, y)→(x + 4,y−3) (the third option)
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a rectangle is 12 inches long and 2 inches wide. find its area. a 22 sq…
C. 24 square inches
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the equation for the area of a circle, a, is a = πr² where r is the rad…
$r = \sqrt{\frac{A}{\pi}}$
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what is the y - intercept of the line? a 2 b 3 c - 7 d - 4
A. 2
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drag and drop an answer choice into each empty box below, or use keyboa…
First box: B Second box: any length
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what is m∠ghi? m∠ghi = °
\(120\)
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choose the option that best describes what is formed by the constructio…
the perpendicular bisector of $\overline{AB}$
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solve and graph the following inequality: -6 - 8x ≥ 7
$x\leq-\frac{13}{8}$ To graph: On a number - line, draw a closed circle at $x =-\frac{13}{8}=-1.625$ (since the inequality is $\leq$) and shade the line to the left of $x =-\frac{…
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2. draw two lines perpendicular to each other. label at least one angle…
Draw two lines intersecting at a 90 - degree angle and label the right - angle as 90°.
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in the figure, (mangle1=(6x)^{circ}) and (mangle2=(x + 13)^{circ}). (a)…
(a) Equation: $6x+(x + 13)=90$ (b) $m\angle1 = 66^{\circ}$ $m\angle2 = 24^{\circ}$
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question 1-13 if (mangle1=(4x + 2)) and (mangle3=(5x - 15)), what is th…
17
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question 1-13 if (mangle1=(4x + 2)) and (mangle3=(5x - 15)), what is th…
17
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in the figure below, (mangle1=(x + 96)^{circ}) and (mangle2 = 3x^{circ}…
$m\angle1 = 117^{\circ}$ $m\angle2 = 63^{\circ}$
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find the value of x. 50° a. 108° b. 50° c. 64° d. 80°
d. 80°
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the image of a figure is shown. what are the coordinates of x in the pr…
$(3.2,0.6)$
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the image of a figure is shown. what are the coordinates of x in the pr…
$(4.2,0.6)$
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value: 2 find the value of x. 10 x a. 5 b. 8 c. 10 d. 20
C. 10
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given the figure below, find the (6x + 51)° z° (7x + 90)° x= z=
$x = 3$ $z = 69$
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if a polygon has four right angles, then it is either a square or a rec…
If a polygon does not have 4 right angles, then the polygon is neither a square or a rectangle.
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11. s(-4, 6) and t(-7, -3): find rt. 12. b is the mid - point of ac and…
$3\sqrt{10}$ 12.
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if a polygon has four right angles, then it is either a square or a rec…
If a polygon is either a square or a rectangle, then the polygon has 4 right angles.
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frank wants to put up a fence around his square garden. the garden meas…
D. 16 feet
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what type of angle is shown? a right angle b obtuse angle c acute angle
B. obtuse angle
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put the angles in order from least to greatest for the triangle below. …
1. Middle = a. \(\angle L\) 2. Least = c. \(\angle M\) 3. Greatest = b. \(\angle K\)
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question 1-8 suppose $overline{xy}$ has one endpoint at $x(0,0)$. what …
(15, 36)
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which line segments are intersecting?
B. The line - segments in Option B are intersecting.
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question 1-7 suppose $overline{xy}$ has one endpoint at $x(0,0)$. if $(…
$(6,8)$
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if ∠efh ≅ ∠gfh, eh = 2u - 6, and gh = 3u - 36, what is gh?
$54$
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which figure is missing in the pattern? a b c d
C.
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question 1-6 what are the coordinates of the point $\frac{1}{4}$ of the…
(-2, 0)
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value: 10 order the sides of each triangle from shortest to longest. a.…
1. Shortest = a. \(\overline{XV}\) 2. Middle = b. \(\overline{WX}\) 3. Longest = c. \(\overline{VW}\)
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question 1-6 what are the coordinates of the point $\frac{1}{4}$ of the…
$(-2,0)$
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which figure has four sides that are the same length?
B.
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which statement is true about the shape below? a no sides are the same …
A. No sides are the same length.
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lines ab and bc intersect at point b. ray bd bisects angle abc. what is…
18
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value: 5 two sides of a triangle have the measures 12 and 10. find the …
A. \(2 < x < 22\)
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value: 5 put the angles in the triangle below in order from least to gr…
d. \(\angle S,\angle R,\angle T\)
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what is m∠hij? m∠hij = °
$45$
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determine if three given side lengths can form a triangle. find the ran…
A. True
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drag and drop an answer choice into each empty box below, or use keyboa…
length AB D
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value: 5 the sides in order from shortest to longest for the triangle b…
True
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drag and drop an answer choice into each empty box below, or use keyboa…
length AB, D
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what part of the rhetorical triangle does pathos align with? the audien…
the audience
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question 1 - 2 drag and drop an answer choice into each empty box below…
any length, D
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question 1-2 drag and drop an answer choice into each empty box below, …
any length, D
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if dm = 26 and point g lies on the perpendicular bisector of $overline{…
10
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1 find the measure of the remote exterior angle of the triangle. 50°
$140^{\circ}$
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question 1-12 a pentagon has exactly 5 sides. prove the following condi…
The original conditional "If a polygon does not have exactly 5 sides, then it is not a pentagon" is true because its contrapositive "If a polygon is a pentagon, then the polygon h…
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question 1 - 12 a pentagon has exactly 5 sides. prove the following con…
Contrapositive: If a polygon is a pentagon, then the polygon has 5 sides. Since a pentagon has 5 sides, the contrapositive is true. Since the contrapositive is true, the original …
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find the measures of all the angles. 1. 2. 3. 4. 5.
Para el problema 4: Los ángulos son 62°, 71° y 47°. Para el problema 3: Los ángulos son 30°, 60° y 90°.
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given: ∠1 and ∠2 are supplementary and ∠3 and ∠2 are supplementary. pro…
| Statements | Reasons | |--|--| | $m\angle1 + m\angle2 = 180$ | Given | | $m\angle3 + m\angle2 = 180$ | Given | | $m\angle1 + m\angle2 = m\angle3 + m\angle2$ | Substitution | | $…
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which rule describes the translation? t_-3, _-2(x, y) t_-3, 2(x, y) t_3…
C. $T_{3,-2}(x,y)$
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according to the figure, which statement is correct? a $overleftrightar…
A. $\overleftrightarrow{AF}$ and $\overleftrightarrow{BE}$ appear to be parallel.
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if a polygon has four right angles, then it is either a rectangle or a …
The third polygon in the image.
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if $overline{hi}congoverline{hk}$ and $mangle hji = 54^{circ}$, what is…
$108$
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the coordinates of the vertices of △jkl are j(1,1),k(4,3), and l(3,1). …
C. $J'(2,-4),K'(5,-2),L'(4,-4)$
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question 1 - 10 if a polygon has four right angles, then it is either a…
If a polygon does not have 4 right angles, then the polygon is neither a square or a rectangle.
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a rectangular fish tank has a base that is 3 inches by 7 inches. how mu…
B. 105 cubic inches
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x = ___ y = ___ 1. solve the equation & show your work solving it. 6. 7…
\(x = 53\)
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if a polygon has four right angles, then it is either a square or a rec…
If a polygon is either a square or a rectangle, then the polygon has 4 right angles.
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a classroom board is 36 inches wide and 22 inches tall. darrien is putt…
A. 116 inches
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both circles have the same center. what is the area of the shaded regio…
3521.73
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a rectangle is 13 feet long and 4 feet wide. find its area. a 48 square…
C. 52 square feet
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what is the y - coordinate of point d after a translation of (x, y) → (…
1
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12. given $overline{pr}$ with $p(-6, -6)$ and $r(-2, 10)$, if $q$ lies …
12. \(Q(-\frac{7}{2},4)\) 13. \(P(-3,6)\) 14. \(B(-\frac{8}{3},8)\) 15. \((3,4)\) relative to the post - office 16. \((-26,9)\) relative to the port
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3. reflect right triangle abc across line bc. classify triangle aca acc…
Triangle $ACA'$ is an isosceles triangle. This is because a reflection is a rigid motion that preserves side - lengths, and after reflecting right - triangle $ABC$ across line $BC…
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which graph shows the point p(6, 2)?
B.
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find the vertex, the axis of symmetry, and the y -intercept of the grap…
vertex: $(-3,2)$ axis of symmetry: $x=-3$ y - intercept: $-1$
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what is the area of the shaded region? write your answer as a whole num…
1464
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find the vertex, the axis of symmetry, and the y -intercept of the grap…
3
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4. solving with algebra: so
72
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what is the area of the shaded region? 58 km 38 km square kilometers
$1920$
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8. given directed line - segment jl below, find the coordinates of k su…
9. \((5,5)\) 10. \((-3,-8)\) 11. \((2,4)\)
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what is the area of the shaded region? 58 km 29 km 29 km square kilomet…
2523 km²
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what is the area of the shaded region? 97 in 97 in 57 in 57 in square i…
6160
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4. find the perimeter of the trapezoid found below. 4x² + 3x - 9 6x - 5…
\(10x^{2}+22x - 20\)
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what is the area of the shaded region? write your answer as a whole num…
1322.76
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geometry - kochanowska - f - 4m - 4r - 4t - 4w - 4 - kochanowska, joant…
does