Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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name _ date _ circle 5, and then make a number bond. 1. 2. 3. 4. make a…
1. Top - box: 9, Left - box of split: 5, Right - box: 4 2. Top - box: 6, Left - box of split: 5, Right - box: 1 3. Top - box: 10, Left - box of split: 5, Right - box: 5 4. Top - b…
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find the volume of this object. use 3 for $pi$. volume of a cylinder $v…
108
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find the volume of this object. use 3 for $pi$. volume of a cube v = $e…
$3100$
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14 graph the inequality -2x > 4
On a number - line, an open circle at $x=-2$ and shade to the left.
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1 matching 7 points put the steps in the appropriate order for the cons…
1. Draw a ray with endpoint B. 2. Place the compass at vertex W. 3. Draw an arc that intersects both sides of ∠W. 4. Without changing the compass width, place the compass at B. 5.…
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read the sentences below. underline all nouns, circle all verbs, and hi…
1. Nouns: Underlined - boy, field; Verbs: Circled - sprinted; Adjectives: Highlighted - tall, crowded. 2. Nouns: Underlined - Maria, cake, grandmother; Verbs: Circled - baked; Adj…
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find the volume of this object. use 3 for π. volume of the cylinder v ≈…
$736$ $cm^3$
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read the sentences below. underline all nouns, circle all verbs, and hi…
1. Nouns: boy, field; Verb: sprinted; Adjectives: tall, crowded 2. Nouns: Maria, cake, grandmother; Verb: baked; Adjective: delicious 3. Nouns: dog, car; Verb: barked; Adjectives:…
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graph the image of △pqr after a rotation 90° counterclockwise around th…
Plot the new points obtained by applying the $(x,y)\to(-y,x)$ rule to the vertices of $\triangle PQR$.
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explore special parallelograms by following these steps. 1. move vertex…
1. The diagonal lengths are equal. 2. The diagonals are perpendicular.
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2 david uses unit cubes to build the rectangular prism below. what is t…
32
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1 a unit cube is shown below. which of these can best be measured using…
A. volume
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the formula for the volume of a cylinder is v = πr²h. the cylinder to t…
$10$ m
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plot the point (-8, -5). click on the graph to plot a point. click a po…
The point (-8, - 5) is plotted 8 units to the left of the origin along the x - axis and 5 units down parallel to the y - axis.
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part b determine the minimum and maximum circumference, in millimeters,…
Minimum circumference: $688\pi$ mm, Maximum circumference: $694\pi$ mm
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state the coordinates of the point.
(-6,7)
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17 fill in the blank 2 points if $overline{np}$ bisects $angle mnq$, $m…
$x = 18$ $y = 29$
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translate the following into an inequality, graph it on the real number…
Inequality: $x < 8$ Graph: Use an open circle at 8 and draw an arrow to the left on the real - number line. Interval Notation: $(-\infty, 8)$
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16 fill in the blank 2 points find the values of x and y. (2y + 5)° (5x…
$x = 3$ $y = 43.5$
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if an artist uses angles of building edges to draw the buildings to loo…
B. line
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given: ad ≅ bc and ad ∥ bc prove: abcd is a parallelogram. statements 1…
Corresponding parts of congruent triangles are congruent.
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15 fill in the blank 2 points find the values of x and y. (18y + 5)° (1…
$x=\frac{71}{9}$ $y=\frac{707}{81}$
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what is the measure of angle l in parallelogram lmno? 20° 30° 40° 50° (…
$40^{\circ}$
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14 fill in the blank 1 point find the value of x if $overrightarrow{qs}…
$4$
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what is the perimeter of parallelogram lmno? 18 cm 22 cm 40 cm 80 cm
80 cm
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in parallelogram lmno, what are the values of x and y? x = 11, y = 14 x…
\(x = 55,y = 14\)
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in parallelogram pqsr, what is pq? 2 cm 5 cm 6 cm 9 cm
$9$ cm
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13 fill in the blank 1 point if $overline{bd}perpoverline{ac}$, $mangle…
$19$
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what is the measure of angle o in parallelogram lmno? 35° 75° 105° 155
$105^{\circ}$
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in parallelogram lonm, what is om? (2x + 3) cm (3x - 4) cm 7 cm 17 cm 2…
34 cm
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12 fill in the blank 1 point find the value of x. (11x - 15)° (5x - 13)…
13
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question 9 of 10 assume that the lines (overleftrightarrow{de}) and (ov…
B. \(\overleftrightarrow{DE}\) and \(\overleftrightarrow{XY}\) are perpendicular. C. \(\angle XAE\) and \(\angle DAY\) are vertical angles. D. \(\angle XAE\) and \(\angle EAY\) fo…
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the perimeter of parallelogram pqsr is 74 cm. what is qs? 4 cm 6 cm 8 c…
B. 6 cm
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which best explains if quadrilateral wxyz can be a parallelogram? wxyz …
WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.
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11 fill in the blank 1 point find the value of x. (6x + 7)° (8x - 17)° …
$12$
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what does the slope of a line on a graph represent? * 1 point c) the st…
1. B. The steepness or rate of change of the line 2. C. The slope is large
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solve for x and graph the solution on the number line below. -7 ≥ -3x +…
Inequality Notation: \(5\leq x < 9\) Number Line: Plot a closed - circle at \(x = 5\), an open - circle at \(x = 9\), and draw a line segment connecting them.
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in parallelogram lmno, what is the measure of angle n? 50° 70° 110° 130°
C. \(110^{\circ}\)
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the values will be graphed on the given coordinate plane. which is the …
B. x - axis scale: 1 unit = 1 week y - axis scale: 1 unit = 150 minutes origin: (0 weeks, 0 minutes)
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10 fill in the blank 2 points if m∠b is two more than three times the m…
$m\angle B = 68$ $m\angle C = 22$
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to prove quadrilateral wxyz is a parallelogram, travis begins by provin…
$\angle ZWY\cong\angle XYW$ by the alternate interior $\angle$s theorem, $\overline{WY}\cong\overline{WY}$ by the reflexive property, $\overline{WZ}\cong\overline{XY}$ by the give…
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4. which construction could be used to construct an isosceles triangle …
4. D. Construct the perpendicular bisector of segment $AB$. Mark any point $C$ on the perpendicular bisector except where it intersects $AB$. Draw segments $AC$ and $BC$. 5. B. Al…
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quadrilateral rstu has one pair of opposite parallel sides and one pair…
It cannot be determined from the information given.
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9 fill in the blank 2 points if m∠p is three less than twice the measur…
$m\angle P = 119$ $m\angle Q = 61$
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based on the measures shown, could the figure be a parallelogram? yes, …
D. No, the value of \(x\) that makes one pair of sides congruent does not make the other pair of sides congruent.
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question 5 of 10 what is the measure of ∠fsm? (5x + 32)° (7x + 8)° a. 9…
Since \( \angle FSM\) and \( (5x + 32)^{\circ}\) are vertical - angles, they are equal. Also, \( (5x + 32)^{\circ}\) and \( (7x + 8)^{\circ}\) are supplementary (linear - pair), s…
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8 fill in the blank 2 points ∠k and ∠l are complementary angles. if m∠k…
\(m\angle K = 24\) \(m\angle L = 66\)
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7 fill in the blank 1 point ∠1 and ∠2 are vertical angles. if (mangle1=…
$86$
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given: quadrilateral mnol with mn ≅ lo and ml ≅ no. prove: mnol is a pa…
$\triangle MLO\cong\triangle NOM$; $\angle NOM$; alternate interior angles; $MNOL$ is a parallelogram.
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if the measure of an angle is 38°, find the measure of its complement.
$52$
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in quadrilateral lmno, (overline{lo}paralleloverline{mn}). what additio…
$\overline{ML}\parallel\overline{NO}$, $\overline{LO}\cong\overline{MN}$
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given: rw ≅ wt, uw ≅ ws prove: rstu is a parallelogram. identify the st…
3. vertical angles are congruent 4. SAS (Side - Angle - Side) 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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5 fill in the blank 1 point if the measure of an angle is 38°, find the…
52
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5. if m∠wxz=(5x + 3)°, m∠zxy=(8x - 4)°, and ∠wxy is a right angle, find…
$x = 7$ $m\angle WXZ=38^{\circ}$ $m\angle ZXY=52^{\circ}$
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consider quadrilateral lmno. if quadrilateral lmno is a parallelogram, …
$105$
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in quadrilateral abcd, ad || bc. what must the length of segment ad be …
31 units
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4 fill in the blank 1 point if the measure of an angle is 13°, find the…
$167$
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2. in a rectangle, the length is five times the width. write and simpli…
$12w$
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in quadrilateral wxyz, wc = 2x + 5 and cy = 3x + 2. what must x equal f…
$3$
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find the missing measures. 107° x = type your answer... y = type your a…
$x = 73$ $y = 73$ $z = 107$
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2 fill in the blank 1 point find the missing measure. 51° x° x = type y…
$x = 51$
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question 8 of 10 which of the following are one - dimensional and have …
E. Ray, F. Line
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question 7 of 10 collinear points are two or more points that lie on th…
D. line
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read everything carefully and follow all instructions. show your work i…
25
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directions. for each of the following items, circle the letter of the c…
31. C. sanctioned 32. C. cite 33. E. vivacious 34. B. subservient...bumptious 35. B. satiate 36. B. consonant...gibe 37. A. repartee 38. A. gibes...cited 39. D. consonant...rudime…
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look at the diagram. which equation can be used to solve for x? 2x + 33…
The equation is \(2x + 49=83\) and \(x = 17\)
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question 6 of 10 which of the following is two - dimensional and infini…
C. A plane
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5. use the diagram to answer questions a - c (each is a separate proble…
a. i. $74^{\circ}$, corresponding angles are equal ii. $74^{\circ}$, alternate - exterior angles are equal b. i. $155^{\circ}$, vertical angles are equal ii. $25^{\circ}$, same - …
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question 5 of 10 how many dimensions does a point have? a. one b. three…
C. Zero
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consider quadrilateral wxyz. based on the information given, is the qua…
The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.
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find the missing - angle measurement in each set of complementary angle…
1. \(37^{\circ}\) 2. \(41^{\circ}\) 3. \(57^{\circ}\) 4. \(68^{\circ}\) 5. \(64^{\circ}\) 6. \(38^{\circ}\) 7. \(54^{\circ}\) 8. \(73^{\circ}\) 9. \(70^{\circ}\) 10. \(32^{\circ}\…
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question 4 of 10 two lines are guaranteed to be coplanar if they: a. ne…
D. lie in the same plane
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which of the following is three - dimensional and infinitely large? a. …
A. Geometric space
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4 john builds a rectangular prism that has a volume of 12 cubic units. …
C. Option C, D. Option D
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1. write and simplify an expression that can be used to find the perime…
$28x + 12$
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question 2 of 10 which of the following are one - dimensional figures? …
B. Ray, C. Line, F. Segment
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question 1 of 10 four points are always coplanar if: check all that app…
A. they are collinear. D. they lie in the same plane.
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solve for x, then choose the correct graph. 5x - 10 > 15 (a) (b)
A. The graph with an open - circle at 5 and an arrow pointing to the right.
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1 fill in the blank 2 points three angles are shown: ∠wel, ∠ler, and ∠w…
$30$
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solve for x, then choose the correct graph. $\frac{x - 2}{-3}<10$ (a) <…
B. A number - line with an open - circle at - 28 and the arrow pointing to the right.
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question 10 of 10 which angles are right? check all that apply. a. ∠gfe…
B. $\angle KLJ$, C. $\angle MLK$
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3 the rectangular prism below is made of unit cubes. part a complete th…
Part A: There are 2 layers and 18 unit cubes in each layer. Part B: The volume of the prism is 36 cubic units.
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question 9 of 10 if point c is between points a and b, then ac + cb = _…
C. $AB$
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which of the following graphs corresponds to the following set? {x | x …
The fourth graph (the one with a closed - circle at 1 and an arrow pointing to the left).
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solve for x, then choose the correct graph. -9x + 10 > -8 (a) graph wit…
B. A number - line with an open - circle at 2 and an arrow pointing to the left.
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question 8 of 10 if a point c is inside ∠avb, then m∠avc + ____ = m∠avb…
C. \(m\angle CVB\)
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multiple choice 1 point rewrite the following statement as a conditiona…
A. If three points are noncollinear, then they determine a plane.
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question 7 of 10 what type of angle is angle r?
C. obtuse
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6 multiple answer 1 point 1 2 adjacent vertical complementary supplemen…
B. vertical D. supplementary
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5 multiple answer 1 point 1 2 adjacent vertical complementary supplemen…
vertical, complementary
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question 6 of 10 a straight path that goes on forever in both direction…
C. line
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4 multiple answer 1 point 1 2 adjacent vertical complementary supplemen…
adjacent
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question 5 of 10 name the types of angles shown. check all that apply. …
A. supplementary angles B. right angle
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3 multiple answer 1 point 1 2 adjacent vertical complementary supplemen…
adjacent, supplementary, linear pair
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question 4 of 10 which of the following appear in the diagram below? ch…
A. \(\angle ZXY\), B. \(\overrightarrow{XY}\), C. \(\overrightarrow{XZ}\)
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question 3 of 10 what divides a line segment into two congruent segment…
B. midpoint
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1. name the angle pair relationship between 123° and m∠x. explain your …
1. The angle - pair relationship between 123° and ∠x is vertical angles. Reason: They are opposite each other formed by two intersecting lines and are congruent. 2. m∠x = 123°, m∠…
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2 multiple answer 1 point 1 2 adjacent vertical complementary supplemen…
adjacent, complementary
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question 2 of 10 which of the following describe an angle with a vertex…
A. $\angle XYZ$, B. $\angle ZYX$
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1. name the angle pair relationship between 123° and m∠x. explain your …
The angle - pair relationship between 123° and ∠x is vertical angles. ### 2.