Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the slope of this line? simplify your answer and write it as a …
$-3$
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find the distance d(a,b) between points a and b. a(7, - 5); b(7,1) d(a,…
$6$
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what is an angle that is adjacent to ∠2?
∠1
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4. in which of the following has figure 1 been enlarged to form figure …
D.
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which angles are supplementary to each other? ∠11 and ∠16 ∠10 and ∠6 ∠4…
∠16 and ∠15
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what is the slope of this line? simplify your answer and write it as a …
2
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1. one of the shapes in the coordinate grid was transformed into the ot…
C. translation
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which statement describes the order of rotational symmetry for an isosc…
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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which angles are supplementary to each other? ∠11 and ∠16 ∠10 and ∠6 ∠4…
∠10 and ∠15
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find the midpoint of the line segment joining the points (10,3) and (-2…
$(4,0)$
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other than itself, which angle is congruent to ∠fga?
∠BGC
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which angle is vertical to ∠cgd?
∠BGE
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which angle is complementary to ∠bfc?
∠CFD
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10. titus wants to fence a square area of his yard for his dogs. if he …
44 feet
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fill in the blank. the ______ formula for a segment on the coordinate p…
mid - point
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what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 s…
C. 6 square m
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what is the area of the triangle below?
6 square inches
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what is an angle that is adjacent to ∠2?
∠1 or ∠3
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graph △tuv with vertices t(0, 1), u(-7, -10), and v(-7, 1). what is the…
$38.5$
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which angles are supplementary to each other? ∠6 and ∠8 ∠8 and ∠4 ∠1 an…
∠3 and ∠2
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6) area = ________
$90$ square feet
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fill in the blank. the ______ formula for a segment on the coordinate p…
mid - point
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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 angles are supplementary to each other? ∠2 and ∠5 ∠12 and ∠10 ∠11…
∠12 and ∠11
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which angle is supplementary to ∠6?
∠5
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find the missing measurements for each circle. you can use 3.14 as an a…
Radius (cm): 5.10 Diameter (cm): 10.19
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9. michelle purchased a kids table with a square top. if the area of th…
20 inches
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find the midpoint of the line segment with the endpoints a and b. a(8,6…
$(5,8)$
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5) area = ________ 6 8.
$40$ in$^2$
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which angle is supplementary to ∠1?
∠3
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which angles are adjacent to each other? ∠13 and ∠14 ∠5 and ∠2 ∠14 and …
∠13 and ∠14
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what is the slope of this line? simplify your answer and write it as a …
$3$
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which angle is vertical to ∠cfd?
$\angle AFE$
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4) area = ____________ 5)
$25$ square yards
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what is an angle that is complementary to ∠dge?
∠EGC
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other than itself, which angle is congruent to ∠3?
∠6
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what is the slope of this line? simplify your answer and write it as a …
$-8$
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which angles are adjacent to each other? ∠6 and ∠7 ∠7 and ∠5 ∠8 and ∠1 …
$\angle6$ and $\angle7$
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7. area = answer:
$45.5$
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which angles are supplementary to each other? ∠5 and ∠3 ∠3 and ∠7 ∠1 an…
∠5 and ∠6
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which rigid transformation would map △abc to △edc? a rotation about poi…
a rotation about point C
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which angles are complementary to each other? ∠2 and ∠5 ∠3 and ∠4 ∠3 an…
∠2 and ∠5
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what is the area of a circular region whose diameter is 6 centimeters? …
D. $9\pi$ square cm
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which angles are adjacent to each other? ∠7 and ∠10 ∠3 and ∠8 ∠8 and ∠2…
$\angle5$ and $\angle8$
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which angles are vertical to each other? ∠8 and ∠3 ∠6 and ∠2 ∠1 and ∠3 …
∠1 and ∠3
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which angles are adjacent to each other? ∠8 and ∠2 ∠4 and ∠3 ∠2 and ∠4 …
∠4 and ∠3
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which statement is true about the given information? ∠ced measures 45°.…
∠AEC measures 90°.
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what is the slope of this line? (-5, -2) (0, 0) simplify your answer an…
$\frac{2}{5}$
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consider a sphere with a radius of 6.8 yd. using a calculator, approxim…
$581.19$ yd²
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determine the amount of steel needed for the can of tomato paste. use t…
$71.7$ in²
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8. answer: ________
$52.5$ square inches
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what is the slope of this line? (0, 24) (-6, -12) simplify your answer …
$6$
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nc.7.g.1 6. draw a scale copy of the following image using a scale fact…
# Explanation: ## Step1: Measure original side - lengths Count the grid - squares for each side of the original shape. ## Step2: Multiply side - lengths by scale factor Multiply e…
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given $vec{g}=langle3, - 5 angle$ and $vec{h}=langle - 4,6 angle$, find…
B. $\langle0,-2 angle$
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6. cultural and scientific achievements. one of the greatest achievemen…
1. Invention of hieroglyphs (a system of writing) 2. Creation of paper from papyrus plant 3. Invention of a 365 - day calendar
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given ∠cfd is a right - angle, find each angle. 14. (mangle bfc = 7x - …
$155$
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determine the amount of steel needed for the can of tomato paste. use t…
$25.4$ in²
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angle model possible measures | angle | acute | right | obtuse | straig…
4. obtuse 5. right 6. acute
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{4}$
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what is the perimeter of the rectangle? 19 cm 17 cm a 36 cm b 72 cm c 6…
B. 72 cm
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what is the area of the rectangle? 2 cm 3 cm a 6 cm² b 23 cm² c 17 cm² …
A. $6$ $cm^{2}$
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naming & measuring angles an angle is a figure made up of two rays, or …
1. $\angle Q$, $\angle PQR$, $\angle 1$ 2. $\angle J$, $\angle HJK$, $\angle KJH$ 3. $\angle ABD$, $\angle DBC$, $\angle ABC$
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nc.7.g.1 5. identify all images that are scaled copies. for the images …
A. Scaled - copy, scale factor \(\frac{1}{2}\) C. Scaled - copy, scale factor \(\frac{1}{3}\) D. Scaled - copy, scale factor \(\frac{3}{2}\)
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you need help on a geometry exercise. your friends paper is shown to th…
A. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as co…
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nc.7.g.1 4. noah enlarged a rectangular photograph by a scale factor of…
D. 36 times larger
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1. what is the scale factor used on shape a to create shape b? 4. noah …
D. 36 times larger
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nc.7.g.1 3. what is the scale factor used on shape a to create shape b?…
A. 2 ### 4.
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5 multiple choice 1 point select the best answer choice for how the gra…
Open Circles at 8 and 16, the line connects the two points
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is the following conditional true? if a polygon is a quadrilateral, the…
yes
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what is the slope of this line? simplify your answer and write it as a …
$0$
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graph △tuv with vertices t(6, 1), u(-3, -8), and v(6, -8). what is the …
$40.5$
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express the solution set of the inequality in interval notation and gra…
Interval notation: \((\frac{7}{6},\infty)\) Graph: Option D (open circle at \(\frac{7}{6}\) and arrow to the right)
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name the relationship. vertical, adjacent, or linear pair. 9. answer: _…
9. Vertical 10. Adjacent
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which of the following is correct? $m\\angle gxf = 40$ and $m\\angle fx…
$m\angle AXF = 90^{\circ}$, $m\angle CXB = 30^{\circ}$, $m\angle AXC = 70^{\circ}$, $m\angle BXF = 130^{\circ}$, $m\angle AXD = 110^{\circ}$, $m\angle BXD = 70^{\circ}$
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is the following conditional true? if two angles are complementary, the…
yes
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similarity and ratios hezhu gao similarity and ratios the following fig…
4
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graph △fgh with vertices f(-4, 5), g(-7, 5), and h(-7, 0). what is the …
$7.5$
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{5}$
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c^{2}=4(\\frac{1}{2}bh)_{triangle}+(lw)_{square} c^{2}=4(\\frac{1}{2}ab…
For part C: The trinomial \(a^{2}-2ab + b^{2}\) is obtained from \((a - b)(a - b)\) by using the FOIL method to multiply the two binomials. For part B: The expression represents t…
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graph $\triangle wxy$ with vertices $w(2,3),x(-2,-2)$, and $y(-2,3)$. w…
10
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which of the following is a counterexample for this conditional stateme…
M
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the measure of one angle is eight times the measure of its supplement. …
$160$
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the figure shows right - triangle abc, which has been copied four times…
The Pythagorean Theorem \(c^{2}=a^{2}+b^{2}\) is derived for right - triangle \(ABC\) by equating the area of the outer square \(ABFE\) to the sum of the areas of the four right -…
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m < pqh = ∠eqf ≅ ∠pqh m∠eqh = 4(2x + 1), m∠pqh = 9x + 29, m∠hqf = 2(5x …
$56$
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which of the following is a counterexample for this conditional stateme…
C. a hexagon
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graph △fgh with vertices f(10, 9), g(-3, 9), and h(10, -2). what is the…
$71.5$
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which angles are consecutive interior angles? ∠deh and ∠dec ∠ghe and ∠d…
∠GHE and ∠DEH
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which angles are corresponding angles? ∠feh and ∠fec ∠fec and ∠ihe ∠fec…
$\angle FEC$ and $\angle IHE$
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which angles are alternate exterior angles? ∠ijl and ∠ij g ∠ijl and ∠fg…
$\angle IJL$ and $\angle FGE$
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which angles are supplementary angles? ∠stq and ∠pqo ∠stq and ∠utv ∠stq…
∠STQ and ∠UTQ
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6 calculate the base, b, of a triangle that has an area of a = 24 squar…
$b = 8$ inches
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which angles are adjacent angles? ∠vuw and ∠sru ∠vuw and ∠vur ∠vuw and …
$\angle VUW$ and $\angle VUR$
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which angles are alternate exterior angles? ∠yxz and ∠tux ∠yxz and ∠tus…
$\angle YXZ$ and $\angle TUX$
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which angles are alternate exterior angles? ∠srp and ∠tuw ∠srp and ∠sru…
∠SRP and ∠TUW
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which angles are adjacent angles? ∠kjg and ∠kjl ∠ijg and ∠fgj ∠kjg and …
$\angle KJG$ and $\angle KJL$
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which angles are alternate exterior angles? ∠vur and ∠sru ∠tur and ∠vuw…
$\angle TUR$ and $\angle VUW$
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which angles are corresponding angles? ∠lmj and ∠lmo ∠nmj and ∠kjh ∠nmo…
$\angle NMJ$ and $\angle KJH$
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which angles are corresponding angles? ∠bca and ∠efc ∠bca and ∠gfc ∠bca…
$\angle BCA$ and $\angle EFC$
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which angles are supplementary angles? ∠nmk and ∠nmp ∠nmk and ∠lmp ∠nmk…
∠NMK and ∠NMP
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which angles are alternate interior angles? ∠ghk and ∠jkm ∠ghk and ∠lkh…
$\angle{GHK}$ and $\angle{LKH}$