Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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3. what transformation has been done on b to produce b? rotation at a f…
translation
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numeric 1 point corresponding angles solve for x.
\(40\)
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3 numeric 1 point determine the measure of ∠a. answer
\(85\)
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2. what is the angle of rotation for point g mapped to point h? 90° cou…
\(72^{\circ}\) clockwise
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2 multiple choice 1 point in the figure shown, ( ell_{1} parallel ell_{…
33
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1 if triangle abc was reflected across the y - axis, what would be the …
\((4,1)\) (corresponds to the second option)
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find the area of a circle with radius 7 ft. use the value 3.14 for π, a…
\(153.86\)
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1 multiple choice 1 point which theorem states that the measure of the …
C. Exterior Angle Theorem
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find the value of x. x = (simplify your answer.)
\(x = 5\)
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how many lines of symmetry does this rectangle have? number of lines of…
2
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how many lines of symmetry does this equilateral triangle have? number …
3
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how many lines of symmetry does this trapezoid have? number of lines of…
1
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choose all the lines of symmetry for the pentagon.
The lines of symmetry are the vertical line (top - bottom) and the two diagonal lines that connect a vertex to the mid - point of the opposite side.
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5. uv is a median of trapezoid qrst. find each measure.
The length of the median \(UV\) is \(13\).
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given $parallelogram luck$, use the figure and the theorems in items 1,…
\(x = 4.5\)
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given quad abcd is a rhombus and m∠abd = 32°. find the measure of each …
\(\angle1 = 32^{\circ}\), \(\angle2=90^{\circ}\), \(\angle3 = 58^{\circ}\), \(\angle4=32^{\circ}\)
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which angles are corresponding angles? ∠mnl and ∠rqn ∠pqn and ∠rqs ∠rqn…
$\angle MNL$ and $\angle RQN$
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a baseball has a volume of 113.04 cubic inches. what is the radius of t…
The radius of the baseball is \(3\) inches.
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which angles are adjacent angles? ∠por and ∠pom ∠srt and ∠pom ∠qrt and …
\(\angle POR\) and \(\angle POM\)
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complete this sentence. a triangle is equilateral if ______ sides are t…
A. all 3
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which kind of triangle is shown? equilateral triangle acute triangle ob…
right triangle
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a. name the segments and sides that are parallel in \\( \\triangle f h …
a. A. \( \overline{FK}\parallel\overline{GJ}\), D. \( \overline{HK}\parallel\overline{GL}\), F. \( \overline{FH}\parallel\overline{JL}\) b. A. \(JL=\frac{1}{2}FH\), C. \(GJ=\frac{…
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topic: quadrilaterals progress: the movement of the progress bar may be…
90
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a. name the midsegments and sides that are parallel in (\triangle fhk).…
B. \( \overline{HK}\parallel\overline{JL}\), D. \( \overline{HK}\parallel\overline{GL}\), E. \( \overline{FH}\parallel\overline{GJ}\)
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21. whats wrong with this picture of △trg? explain.
The angles \( \angle TLN = 72^{\circ}\) and \( \angle TRG = 74^{\circ}\) (also \( \angle TNL = 72^{\circ}\) and \( \angle TGR = 74^{\circ}\)) contradict the angle - side relations…
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what is the measurement of the angle shown below? 10° 180° 80° 100°
\(100^{\circ}\) (the fourth option)
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find three cards that match. right equilateral obtuse scalene
Red triangle: equilateral; Green triangle: obtuse, scalene
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section 4.3b homework page 223: 9 - 11, 19 - 21 name: date: period: 9. …
9. The angle measures are inconsistent. Using the exterior angle theorem gives a negative angle for \(a\), which is impossible. 10. \(135^{\circ}\) 11. \(72^{\circ}\)
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identify all points and line segments in the picture below. points: a, …
Points: \(A\), \(B\), \(C\), \(D\) Line segments: \(\overline{AB}\), \(\overline{BC}\), \(\overline{CD}\), \(\overline{AD}\), \(\overline{BD}\), \(\overline{AC}\)
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look at ∠uvy and ∠yvw in the image below. which of the following is the…
complementary
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find the measure of angle \\( \\angle a e f \\) in the figure below. en…
60
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section 4.3 homework 8. whats wrong with this picture? explain. review …
- For problem 8: The sum of the two shorter sides (\(21 + 25=46\)) is less than the longest side (\(48\)), so these side lengths cannot form a triangle. - For problem 16: \(\trian…
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4. the triangles in each pair are similar. find the unknown side length…
\(d = 12\mathrm{cm}\), \(e=10\mathrm{cm}\)
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the coordinate plane below shows a unit circle with central angle θ. wh…
\(\sin\theta\)
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the movement of the progress bar may be uneven because questions can be…
\(\angle COD\)
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in the following diagram and question, where will point ( c ) go? * the…
\( C'(3,-9) \)
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which of these shapes is a right isosceles triangle?
The red triangle.
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which names describe this triangle? choose yes or no for each name. acu…
- acute: No - right: No - obtuse: Yes - equilateral: No - isosceles: Yes - scalene: No
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which names describe the triangle? choose yes or no for each name. acut…
- acute: No - right: Yes - obtuse: No - equilateral: No - isosceles: Yes - scalene: No
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find $mangle n$ and $mangle p$. $mangle n =$ type your answer... $mangl…
\(m\angle N = 75^{\circ}\) \(m\angle P=30^{\circ}\)
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6 fill in the blank 0.5 points find ( m angle a b d ).
\(124^{\circ}\)
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wallpaper a wallpaper design consists of repeated translations of a sin…
\((4,3)\), \((3,5)\), \((6,3)\)
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choose all the scalene triangles.
The pink triangle on the top - left, the orange triangle on the bottom - left, and the orange triangle on the bottom - right.
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the measure of one of the acute angles in a right triangle is $56\\frac…
\(33.33\)
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the measure of one of the acute angles in a right triangle is $56\\frac…
\(33.33\)
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what is the surface area of the square pyramid shown below? a. 625 ft² …
D. \(2,225\) \(ft^2\)
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17. circle q is centered at the origin. is point (-5, 0) on the circle?…
No because the distance from the origin to point \((-5,0)\) is less than the radius of the circle.
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the vertices of quadrilateral pqrs are listed. p(3,7), q(6,-2), r(0,-4)…
B. Quadrilateral \(PQRS\) is a parallelogram.
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select the correct answer. the endpoints of \\( \\overline { w x } \\) …
E. \(3\sqrt{2}\)
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4 fill in the blank 0.75 points 3x + 2 4x - 7 2x + 5 list the side leng…
\(23\), \(29\), \(29\)
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select the correct step in the table. nikita began with the figure show…
Step 3
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△abc is reflected about the line y = -x to give △abc with vertices a(-1…
A. \(A(1, - 1),B(-1,-2),C(0,-1)\)
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type the correct answer in the box. use numerals instead of words. squa…
\(2\)
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16. what is the sum of the interior angles of a kite? 90° 270° 360° 180°
\(360^{\circ}\)
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the trading patterns that sent slaves to the new world, textiles to afr…
Triangle trading
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complete the proof in paragraph form. \\( \\angle 1 \\) is complementar…
\(m\angle2 = 50^{\circ}\)
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hat is the surface area of this triangular prism? show your work. what …
B. \(1,944\) \(in.^3\)
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14. is this figure defined by points e, f, g, and h a rectangle? justif…
Yes, \(EFGH\) is a rectangle. Based on the coordinates, opposite sides are both parallel and congruent.
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13 which of the following statements is false? all parallelograms are q…
All kites are rectangles.
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12. in the polygon pictured, what is the measure of angle ( k^{circ} )?…
\(110^{\circ}\)
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type the correct answer in the box. write your answer to one decimal pl…
\(2.7\)
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dilate point s by a scale factor of $\\frac{1}{2}$.
The dilated point of \( S \) with a scale factor of \(\frac{1}{2}\) centered at \( R \) is \((6,3)\)
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point r divides \\( \\overline { p q } \\) in the ratio 1:3. if the x -…
B. 3
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11. what is the measure of angle q°? 70° 180° 90° 110°
\(70^{\circ}\)
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proof: which reason completes the proof? a. corresponding sides of cong…
D. Corresponding sides of similar triangles are proportional.
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10. in parallelogram abcd, what is the measure of z°? 60 65 115 180
\(115\)
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in the image, point a marks the center of the circle. which two lengths…
A radius (e.g., \(AB\)) and a diameter (e.g., \(CF\))
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9. which of the following shapes is not a quadrilateral? rhombus kite t…
Pentagon
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round each measurement to the nearest ten. then estimate the area of th…
4,000 square inches
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which figure is a dilation of figure e? figure f figure g figure h
figure \(F\)
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8. what is the sum of the exterior angles, one at each vertex, of a pol…
\(360^{\circ}\) (corresponding to the option \(360^{\circ}\))
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12. if line j is parallel to line k. what is the value of x? x =
\(15\)
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figure lmno is dilated to form figure lmno where is the center of dilat…
\(\frac{1}{2}\)
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figure lmno is dilated to form figure lmno. where is the center of dila…
B. outside figure \(LMNO\)
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6. which of the following statements is true? a trapezoid is a special …
A square is a special type of rectangle.
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5. killem dead pest control needs to set out 5 roach motels per square …
140
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figure w is a dilation of figure v where is the center of dilation loca…
outside figure \(V\)
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shown below is a blueprint for a rectangular kennel at a pet hotel. wha…
74
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4. in the polygon pictured, which angles are supplementary? c° and d° a…
\(g^{\circ}\) and \(f^{\circ}\)
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3. what is the sum of the interior angles of a rectangle? 360° 90° 4° 1…
\(360^{\circ}\) (the first option)
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4. which detail from page 179 implies that the creature is the murderer…
D. "He had apparently been strangled; for there was no sign of any violence, except the black mark of fingers on his neck."
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2. what is the measure of \\( \\angle a o d \\)? \\( 180 ^ { \\circ } \…
\(90^{\circ}\)
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2. what is the measure of \\( \\angle a o b \\)?
\(100^{\circ}\)
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type the correct answer in each box.complete the statement, and find th…
The quadrilateral shown is a kite. \(x = 3\)
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1. in parallelogram abcd, what is the measure of y°? 60 65 180 115
\(65\)
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consider figures 1 and 2 on the coordinate plane. which sequence of tra…
\(7\) units left and \(3\) units up.
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consider figures 1 and 2 on the coordinate plane. which sequence of tra…
\(90^{\circ}\) clockwise; \((x,y)\to(x - 13,y+8)\)
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type the correct answer in the box. use numerals instead of words. if n…
The length of \(\overline{DE}\) is \(4.5\) units and \(m\angle CAB\) is \(45^{\circ}\).
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describe the transformation this transformation can be described by $(x…
\((x',y')=(x,y - 7)\)
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select the correct answer. which statement describes a reflection? a. a…
A. A reflection occurs when a point and its image are equidistant from a line on the opposite sides of the line and the line segment joining the two points is perpendicular to the…
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what is the surface area of the square pyramid shown below? a. 625 ft² …
If we follow the formula application in the hand - written work (assuming slant height \(l = 25\) ft, perimeter \(P=100\) ft, base area \(B = 625\) \(ft^{2}\)), there is a calcula…
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9. if ( overleftrightarrow{de} parallel overleftrightarrow{gf} ), what …
\(55\)
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parallelogram not necessarily a parallelogram parallelogram not necessa…
First figure: Parallelogram Second figure: Parallelogram Third figure: Parallelogram Fourth figure: Not necessarily a parallelogram
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dilate \\( \\triangle abc \\) by a scale factor of \\( \\frac { 1 } { 2…
C. at point \(C\)
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1. in parallelogram abcd, what is the measure of y°? 60 65 180 115
\(65\) (corresponding to the second option \(65\))
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4 calculate the width of a 80 tv if the tv has an aspect ratio of 21:9.…
73.5"
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8. identify the alternate interior, consecutive interior, and correspon…
\(q = B\), \(z = C\), \(s=A\)
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3 which of the following real - life situations is likely to involve a …
tiling a trapezoidal floor
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$\\overline{cr}$ and $\\overline{ds}$ are perpendiculars dropped from $…
E. \(m\angle RCD=m\angle ACD\times2\)
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select the correct answer a parallelogram rotates about its center. at …
C. \(180^{\circ}\)