Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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read the passage from \by the waters of babylon.\ but it was not dark. …
- "But it was not dark. Everywhere there were lights." - "I thought to myself 'This is a strong magic' and trembled." - "That was a sight indeed—yes, that was a sight: I could not…
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for each triangle, check all that apply
- **Triangle A**: Isosceles, Equilateral - **Triangle B**: Scalene - **Triangle C**: Isosceles, Equilateral - **Triangle D**: Isosceles
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the roof of the house has 2 rectangles measuring 27ft x 52ft each. esti…
\(1600\)
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three identical rectangles have a combined area of 8.1m². each rectangl…
\(1.5m\)
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a room has 3 identical windows which measure 3.2 feet by 2.8 feet. what…
\(26.88\)
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kuta software - infinite geometry isosceles and equilateral triangles n…
1. \(x = 7\) 2. (Assuming basic isosceles triangle, if sides adjacent to \(x\) and \(6\) - like markings imply \(x = 6\)) 3. \(x = 6\) 4. \(x = 4\) 5. \(x = 100^{\circ}\) 6. \(x =…
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we need to buy mulch to cover an area 81/2 ft x 3ft x 6in. how many cub…
\(12.75\) cubic feet.
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14. what defines a tessellation? a. a design found only in nature b. a …
C. A pattern that covers a surface completely without gaps or overlaps
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12. tessellations can be found in which of the following? a. only in eu…
C. Both in nature and human - made structures
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8. what happens if a tessellation pattern is altered by cutting a piece…
d. The pattern gains a unique touch but can still tessellate.
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algebra 2: re do quiz #3 unit 2.3 : solving and applying quadratic equa…
B. \(x - 6\)
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find the perimeter of the figure below. notice that one side length is …
\(60\) cm
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find the perimeter of the figure below. notice that one side length is …
\(58\) yd
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b. find the length when the width is 4 meters and the perimeter is 36 m…
\(14\)
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4. a scale drawing of a garden is made with a scale of 1:200. if a draw…
\(400\) cm, so the answer is d.
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rectangles the formula ( p = 2ell+2w ) represents the perimeter of a re…
$$\ell=\frac{P - 2w}{2}$$
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4. triangle abc was transformed to create triangle edk. describe the tr…
\((x,y)\to(x - 4,y + 8)\)
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graph the compound inequality on the number line. x>5 and x≤7
On the number line, place an open circle at \(5\), a closed circle at \(7\), and draw a line segment connecting these two points.
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3. which of the following can tessellate by itself? a. circle b. semi -…
C. Equilateral triangle
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1. △jkm ≅ △lkm 2. △abc ≅ △cda use sss to explain why the triangles in e…
1. \(\triangle JKM\cong\triangle LKM\) because \(JM = LM\), \(KM = KM\), \(JK = LK\) (by SSS). 2. \(\triangle ABC\cong\triangle CDA\) because \(AB = CD\), \(BC = DA\), \(AC = CA\)…
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12 0/4 points name a plane parallel to plane cij. edj gab afl abh
GAB
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find the circumference of the circle. round your answer to the nearest …
\(31\)
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43 fill in the blank 4 points given \\( \\angle 12 \\cong \\angle 15 \\…
Parallel Lines: \(j\parallel k\) Converse: alternate exterior angles
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find the circumference of the circle. round your answer to the nearest …
19
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find the circumference of the circle. round your answer to the nearest …
19
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given ( mangle 3 + mangle 7 = 180^circ ), determine which lines, if any…
Lines \( l \) and \( m \) are parallel. The converse that justifies this is the converse of the consecutive (same - side) interior angles theorem.
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match the circumference (rounded to the nearest meter) on the left to i…
- \(36\) meters: Not used. - \(151\) meters: Matches the circle with radius \(24\) m. - \(72\) meters: Matches the circle with radius \(11.5\) m. - \(75\) meters: Not used. - \(38…
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2. what is the scale factor if a model of a car is 20 inches long and t…
A. \(1:10\)
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what is the image of the point (3, -8) after a rotation of 90° counterc…
\((8,3)\)
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1. which of the following structures is known to incorporate the golden…
C. The Parthenon
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43 fill in the blank 4 points given \\( \\angle 12 \\cong \\angle 15 \\…
Parallel Lines: $l\parallel m$; Converse: converse of the alternate interior angles theorem.
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3. consider the pre - image & image below. what sequence of transformat…
Rotate \(90^{\circ}\) clockwise then translate to the right.
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the diagram shows a triangle. what is the value of s? s = □°
\(s = 6\)
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5 type the correct answer in the box. use numerals instead of words. if…
\(136\)
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the diagram shows a triangle. what is the value of p? p =
\(p = 8\)
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what is the formula for calculating the sum of interior angles of an n …
C. \((n - 2)\times180^{\circ}\)
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how much of the circle is shaded? write your answer as a fraction in si…
\(\frac{4}{15}\)
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use sss to explain why the triangles in each pair are congruent. 1. $\t…
1. no conclusion 2. no conclusion 3. no conclusion 4. \(\triangle PQH\cong\triangle DEF\) by HL
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what mathematical principle do tessellations primarily involve? a. alge…
d. Geometry
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given: \\( \\overline { d f } \\) and \\( \\overline { d e } \\) are mi…
D. Statement: \(DE = AF\) Reason: Corresponding sides of congruent triangles are congruent.
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select the correct answer. what is the sum of the measures of the inter…
C. \(180^{\circ}\)
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given: \\( \\triangle abc \\) is an isosceles triangle where \\( ab = b…
A. definition of angle bisector
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in the coordinate plane, the point ( x(-4,-2) ) is translated to the po…
\(Y'(-3,3)\) and \(Z'(2,-1)\)
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how many degrees must the angles of the shapes at a vertex in a tessell…
C. \(360^{\circ}\)
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type the correct answer in the box. use numerals instead of words. if n…
\(4\)
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which shape naturally tessellates? a. nonagon b. square c. pentagon d. …
B. Square
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in the coordinate plane, the point ( a(1,-4) ) is translated to the poi…
\(B'(8,-1)\), \(C'(3,-3)\)
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what defines a tessellation? a. a pattern that covers a surface complet…
A. A pattern that covers a surface completely without gaps or overlaps
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which of the following can tessellate by itself? a. equilateral triangl…
A. Equilateral triangle
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△abc ≅ △def determine the following measures. enter deg after any value…
\(AC = 10.7\) m \(m\angle F=88\) deg
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what is the image of $(7,-2)$ after a reflection over the line $y=-x$?
\((2,-7)\)
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what is the image of $(-1,-6)$ after a reflection over the $y$-axis?
\((1,-6)\)
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to make a tessellation more interesting, one could modify a square by a…
1. cutting 2. congruence 3. Escher 4. tiling
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a tessellation is essentially a pattern made of shapes that cover a sur…
1. gaps 2. M.C. Escher 3. square 4. \(360\)
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in exercises 3 - 6, classify the triangle by its sides and by measuring…
- For triangle \(XYZ\): - By sides: Isosceles triangle. - By angles: Right - angled triangle. - For triangle \(LMN\): - By sides: Equilateral triangle. - By angles: Acute - angled…
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what is the image point of $(0, - 9)$ after a translation right 5 units…
\((5,-10)\)
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escribir las coordenadas de los vértices después de una rotación 270° e…
\(E'(-4,0)\) \(F'(-4,-10)\) \(G'(0,-10)\) \(H'(0,0)\)
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compute the area of the triangle using the coordinates: (10,5), (10,0),…
15
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determine the coordinated of the rectangle, then compute the area (1 po…
\(60\ units^{2}\)
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question what is the image of $(1,-3)$ after a dilation by a scale fact…
\((3,-9)\)
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which figure best demonstrates the setup for the box method of finding …
The second figure (the one with the triangle enclosed in a rectangle) is the correct setup for the box method.
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find the coordinates of the rectangle and use them to compute the area.…
\(21\ units^{2}\)
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use the coordinates to compute the exact area of the rectangle(1 point)…
\(60\ units^{2}\)
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find the coordinates of the rectangle and use them to compute the area …
24 units²
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coordinate geometry coordinate proofs use the given coordinates to comp…
20.9 units
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in $\triangle abc$, if $overline{ac}congoverline{cb}$, $mangle a=(3x + …
\(x = 19\) \(m\angle A=75^{\circ}\) \(m\angle B = 75^{\circ}\) \(m\angle C=30^{\circ}\)
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alex marks two points on the coordinate plane. one point is a(4, 1) and…
\(d=\sqrt{(-1 - 4)^2+(5 - 1)^2}\) (the fourth option)
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classify this triangle by its sides. scalene isosceles but not equilate…
scalene
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in the diagram, transversal t cuts parallel lines a and b. which equati…
B. \(m\angle3 = m\angle6\)
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type the correct answer in the box. use numerals instead of words. if n…
7
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29° (11x - 65)°
\(x = 13\)
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classify this triangle by its sides. equilateral isosceles but not equi…
isosceles but not equilateral
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classify this triangle by its sides. equilateral isosceles but not equi…
isosceles but not equilateral
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in the diagram, the measure of angle 8 is 124°, and the measure of angl…
\(56^{\circ}\)
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classify this triangle by its sides. equilateral scalene isosceles but …
scalene
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asa/aas determine if the two triangles are congruent. if they are, stat…
1) Not congruent. 2) Congruent by AAS. 3) Congruent by AAS. 4) Not congruent. 5) Congruent by AAS. 6) Congruent by ASA.
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in the diagram, which two angles must be supplementary with angle 6? ∠5…
\(\angle5\) and \(\angle7\)
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a triangle has angle measurements of 14°, 102°, and 64°. what kind of t…
obtuse
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7x + 19 60° 60° 11x - 89
\(x = 27\)
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a triangle has angle measurements of 88°, 59°, and 33°. what kind of tr…
scalene
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in the diagram, how many angles are alternate exterior angles with angl…
one
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given: see the diagram. prove: dc = db 1. \\( \\overleftrightarrow { d …
D. Perpendicular Bisector Theorem
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select the correct answer. transversal t cuts parallel lines r and s as…
A. Alternate Interior Angles Theorem
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in the diagram, how many angles are alternate exterior angles with angl…
one
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triangle abc is reflected across the line y = x. the result is △abc, as…
(a) \(A(-3,8)\to A'(8, - 3)\), \(B(2,5)\to B'(5,2)\), \(C(-4,-1)\to C'(-1,-4)\) (b) \((x,y)\to(y,x)\)
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in the diagram, the measure of angle 3 is 89°, and the measure of angle…
\(91^{\circ}\)
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triangle xyz is reflected across the y - axis. the result is △xyz, as s…
(a) \(X(-7,-3)\to X'(7,-3)\), \(Y(-8,6)\to Y'(8,6)\), \(Z(-2,5)\to Z'(2,5)\) (b) \((x,y)\to(-x,y)\)
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in the diagram, what is the measure of angle 1 to the nearest degree? 8…
\(98^{\circ}\)
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(5x - 7)° (8x - 55)°
\(x = 16\)
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triangle abc is reflected across the x - axis. the result is △abc, as s…
a) \(A(-3,2)\to A'(-3,-2)\), \(B(7,10)\to B'(7,-10)\), \(C(7,4)\to C'(7,-4)\) b) \((x,y)\to(x, - y)\)
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triangle def is reflected across the line ( y = x ). the result is ( \t…
(a) \(D(-2,-4)\to D'(-4, - 2)\), \(E(8,2)\to E'(2,8)\), \(F(4,-9)\to F'(-9,4)\) (b) \((x,y)\to(y,x)\)
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what symbol represents the golden ratio? a. $phi$ b. $sigma$ c. $pi$ d.…
A. $\phi$
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what is the approximate value of $phi$ (the golden ratio)? a. 1.618 b. …
A. 1.618
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104° (9x - 25)°
\(x = 7\)
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in the diagram, which pair of angles are alternate interior angles? 2 a…
\(\angle5\) and \(\angle3\)
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which of the following structures is known to incorporate the golden ra…
C. The Parthenon
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4x + 23 10x - 1 78° 78°
\(x = 4\)
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m∠p = m∠q = m∠r =
\(m\angle P = 60^{\circ}\) \(m\angle Q = 60^{\circ}\) \(m\angle R = 60^{\circ}\)
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triangle def is reflected across the line ( y = x ). the result is ( \t…
## (a) \(D(-2,-4)\to D'(-4, - 2)\) \(E(8,2)\to E'(2,8)\) \(F(4,-9)\to F'(-9,4)\) ## (b) \((x,y)\to(y,x)\) (the option \((x,y)\to(y,x)\) in the multiple - choice list)
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mark the and 12
\(\angle1\) and \(\angle3\)