Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the value of z, rounded to the nearest tenth? use the law of si…
3.2 units
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practice 8.3: trapezoids and kites name: ____________ period: ____ pqrs…
2. $CD = 8$ 3. $m\angle BAD = 70^\circ$ 4. $m\angle CDA = 65^\circ$
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law of sines: $\frac{sin(a)}{a} = \frac{sin(b)}{b} = \frac{sin(c)}{c}$ …
9.2 units
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unit 6 review right triangles and trigonometry find the value of the va…
$x=12\sqrt{5}$, $y=12$, $z=6\sqrt{5}$
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in map making, dilations are used to ______ large geographical areas to…
reduce
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find the values of the variables. x= y= z= options: $3\\sqrt{6}$, $12$,…
$x=4$, $y=2\sqrt{13}$, $z=3\sqrt{13}$
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use the law of sines to find the value of w. what is the best approxima…
4.0 cm
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law of sines: $\frac{sin(a)}{a} = \frac{sin(b)}{b} = \frac{sin(c)}{c}$ …
5.8 units
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find the value of x. 1. $(5x - 2)^{circ}$ $(3x + 4)^{circ}$ $11x-2+9x+1…
1. $x=11$ 2. $x=16$ 3. $x=4$ 4. $x=11.5$ 5. $x=7$, $y=18$ 6. $x=15$, $y=6$ 7. $x=\frac{94}{7}$, $y=\frac{225}{28}$
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which is the best approximation of the value of x? use the law of sines…
2.1 units
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in a dilation, the angles of the figure remain ________.
congruent (or equal in measure)
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what is the length of line segment rs? use the law of sines to find the…
2.4 units
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surface area - cone find the surface area of each cone. round your answ…
1) $56.52$ square inches 2) $565.20$ square feet 3) $235.50$ square yards 4) $898.04$ square feet 5) $942.00$ square yards 6) $65.94$ square inches 7) $1306.24$ square yards 8) $5…
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7)a = 63.68 cm b = 81.56 cmc = 84 cm h = 60 cmarea: _______________peri…
### Triangle 7: Area: $2100 \, \text{cm}^2$ Perimeter: $219.24 \, \text{cm}$ Type: Scalene triangle ### Triangle 8: Area: $1082.5 \, \text{mm}^2$ Perimeter: $150 \, \text{mm}$ Typ…
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8. party hat a) cylinder b) sphere c) cone 9. soccer ball a) cone b) cy…
8. c) Cone 9. c) Sphere
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cones, cylinders and sphere | quiz 6. balloon a) cylinder b) sphere c) …
6. b) Sphere 7. c) Cylinder
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estimation without doing calculations, use side de and side de to estim…
Side D'E' looks about 3 times longer than side DE. The scale factor for this dilation is 3.
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quizizz worksheets name total questions: 0 class worksheet time: 0secs …
1. c) Sphere 2. d) Polyhedron 3. d) Cylinder 4. b) Right Cone 5. a) Oblique Cone (or c) Oblique Cone, as options are duplicated)
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polyhedron | quizizz 9. a polyhedron is a a) 2-dimensional shape b) 4-d…
9. c) 3-dimensional shape 10. b) None of the above
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6. what is the name of this polyhedron? a) hexagonal prism b) pentagona…
6. a) hexagonal prism 7. d) Rectangular prism/cuboid 8. c) Triangular Prism
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multiple-choice question one line goes through (5,2) and (7,5) another …
3/2
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3. what is this shape? a) cube b) pyramid c) rectangular prism d) cone …
3. c) rectangular prism 4. c) Polyhedra/ polyhedron 5. d) 5
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perimeter & area identify and calculate the area and perimeter for each…
1. Area: 1684.8 square inches; Perimeter: 202 inches; Type: Isosceles Triangle 2. Area: 1953 square yards; Perimeter: 206 yards; Type: Isosceles Triangle 3. Area: 1528.6 square in…
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quizizz worksheetpolyhedrontotal questions: 10worksheet time: 10minsins…
1. c) Triangular Prism 2. d) Rectangular pyramid
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determining the number of possible triangles how many distinct triangle…
1 triangle(s) 0 triangle(s)
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question 7 many simple three-dimensional figures are described using __…
Question 7: C. length, D. height, E. width Question 8: A. z, B. y, D. x Question 9: C. $(x, y, z)$ Question 10: A. True
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solving for all unknown measures in a triangle determine the measures o…
$m\angle R = 50^\circ$ $PR \approx 5.73$ $PQ \approx 8.53$
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answer the questions about the figures below. figure a figure b figure …
(a) Figure A, Figure B, Figure C (b) None of the figures (c) Figure B
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quiz 11.1.2: three dimensionsquestion 1how many dimensions does a plane…
1. C. Two 2. B. False 3. A. True 4. B. False 5. B. Segment, C. Line, F. Ray 6. (Choose two of) C. width, D. height, E. length (e.g., E. length and C. width)
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the measure of an angle is $42^\\circ$. what is the measure of its comp…
$48^\circ$
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the measure of an angle is $64^{\\circ}$. what is the measure of its su…
$116^\circ$
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4. the table shows the side length and area of several different square…
| side length (cm) | 5 | 7 | $\sqrt{63}$ | $7\sqrt{2}$ | $\sqrt{102}$ | $\sqrt{125}$ | |-------------------|---|---|-------------|-------------|--------------|--------------| | ar…
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for each of the following quadrilaterals, select all the properties tha…
| | All sides congruent | Only one pair of parallel sides | Two pairs of parallel sides | Four right angles | |--|--|--|--|--| | (a) Parallelogram | $\square$ | $\square$ | $\boxt…
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the measure of an angle is $16^\\circ$. what is the measure of its comp…
$74^\circ$
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3. a square has area $9\\ \\text{cm}^2$. how long are its sides? a. 3 c…
A. 3 cm
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the measure of an angle is $64^{\\circ}$. what is the measure of its su…
$116^\circ$
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question 24 the legs of a right triangle measure 10 inches and 4 inches…
Question 24: A. 20 sq. inches Question 25: C. 42 sq. units
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applying the law of sines to a real-world problem ships a and b are 1,4…
The distance from ship A to the submarine is about 1270.69 feet. The distance from ship B to the submarine is about 1084.20 feet.
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the measure of an angle is $42^\\circ$. what is the measure of its comp…
$48^\circ$
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ivan began to prove the law of sines using the diagram and equations be…
A. $\frac{a}{\sin(B)} = \frac{b}{\sin(A)}$
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question 20 which point lies on the line with point-slope equation $y -…
Question 20: B. (6, 2) Question 21: A. $y - 7 = -4(x + 2)$ Question 22: A. $\frac{1}{2}rx$ Question 23: B. 31.5 sq. units
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determining unknown measures what is the measure of angle e? $m\\angle …
$m\angle E = 55^\circ$ $EF \approx 12.53$
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question 15 what is the slope of the line that contains the points (-1,…
Question 15: C. 4 Question 16: C. undefined Question 17: D. -7 Question 18: D. -5 Question 19: A. (0, 75)
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practice applying the law of sines. which expression gives the exact va…
$\frac{21.3\sin(34^\circ)}{\sin(118^\circ)}$ (the first option)
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4. what is the primary purpose of calculating the volume of a pyramid? …
a. To estimate the amount of space the pyramid occupies
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the diagram shows the plans for the triangular park. what is the perime…
The perimeter is $\boldsymbol{3x^2 + 37x - 4}$ feet.
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3. in the formula for the volume of a pyramid, what number is the produ…
a. 3
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d. he can purchase a ticket for $15.65. 12. solve the inequality, then …
The solution to the inequality is $x > 17$. For the number line graph: Mark an open circle at 17, and shade/arrow all values to the right of 17.
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the perimeter of the triangle below is 47 units. find the value of z. $…
$z = 7$
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question 11 a regular octagon with sides of length 7 and an apothem of …
1. Question 11: B. 293.72 2. Question 12: C. 147 square units 3. Question 13: B. $y = \frac{1}{3}x$ 4. Question 14: A. $(-2,-1)$, D. $(2,1)$, F. $(4,2)$
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2. in the formula $v = \\frac{1}{3}\\pi r^{2}h$, what does $h$ represen…
d. Height
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the perimeter of the rectangle below is 64 units. find the length of si…
17
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question 8 what is the area of the rhombus shown below? $ac=17$ $bd=15$…
B. 127.5 square units --- ### Question 9
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the perimeter of the quadrilateral below is 93 units. find the value of…
$y = 10$
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the perimeter of the triangle below is 58 units. find the length of sid…
10
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true or false? every quadrilateral is a square. true false every parall…
1. Every quadrilateral is a square.: False 2. Every parallelogram is a rectangle.: False 3. Every rectangle is a parallelogram.: True 4. Every rhombus with four right angles is a …
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question 4 what is the distance between the two endpoints in the graph …
Question 4: C. 7.07 units Question 5: D. 42.06 units Question 6: C. 26 units Question 7: C. 36 square units
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question 7 what is the area of the triangle given below? a. 70 sq. unit…
Question 7: B. 35 sq. units Question 8: B. 11 sq. units Question 9: B. The number of square units contained in the interior Question 10: A. 8 inches
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question 4 what is the area of the triangle below? a. 50 sq. units b. 2…
Question 4: C. 68 sq. units Question 5: A. 49 sq. units Question 6: B. 104.5 sq. units
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answer the questions about the shapes below. here are some squares. doe…
Left section (Squares): - Does each square have four right angles? Yes - Does each square have four sides with the same length? Yes Right section (Rhombuses): - Does each rhombus …
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how many distinct triangles can be formed for which $m\\angle x = 51^\\…
one
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quiz 8.8.3: area of a triangle question 1 the area of the rectangle bel…
1. A. 80 2. C. 130 sq. units 3. B. 34
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question 8 is the following shape a square? how do you know? a. no, bec…
Question 8: C. There is not enough information to determine. Question 9: D. It will move but won't change shape or size. Question 10: D. Triangle
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c. $sqrt{(y_2 - y_1)^2 -(x_2 - x_1)^2}$ d. $sqrt{(x_2 + x_1)^2 -(y_2 + …
Question 6: D. No, the adjacent sides are not perpendicular. Question 7: A. No, there is no right angle.
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line symmetry — quiz — level d how many lines of symmetry does this equ…
3
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question 5 what is the distance formula? a. $sqrt{(x_2-x_1)^2+(y_2-y_1)…
Question 5: A. $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Question 6: D. No, the adjacent sides are not perpendicular. Question 7: D. Yes, two sides are perpendicular, and the side le…
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line symmetry — quiz — level d how many lines of symmetry does this equ…
3
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the perimeter of the triangle below is 50 units. find the length of sid…
21
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line symmetry — quiz — level d which figure has no lines of symmetry?
The orange candy cane-shaped figure
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line symmetry — quiz — level d which shape has 4 lines of symmetry?
The blue square (bottom-left shape)
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name: tyler smithdate:_________per:_________unit 2 testlogic and prooff…
False. Counterexample: $9$ (a perfect square, not divisible by 2) --- ### Question 2
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quiz 8.7.3: coordinate geometry with polygonsquestion 1give the coordin…
1. D. (2, 6) 2. A. Their slopes are equal. 3. B. Their slopes are negative reciprocals. 4. C. $\frac{y_2 - y_1}{x_2 - x_1}$
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using the law of sines for the ambiguous case $\triangle jkl$ has $j = …
Triangle JKL meets the **SSA** criteria, which means it is the ambiguous case. Cross multiply: $11\sin(18^\circ) = 7\sin(K)$ Round to the nearest degree: $m\angle K \approx 29^\ci…
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8. two lines that are perpendicular lines have ... a slope that is oppo…
8. A. Slope that is opposite reciprocals 9. C. $y = (1/3)x + 3$ 10. C. $y = (-3/5)x + 2$
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7. consider the following triangles. 7b give the reason for your choice…
B. AAS: A pair of corresponding angles and a non-included side are congruent.
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which triangle meets the criteria for the ambiguous case?
The second triangle (with sides 4, 6 and non-included angle $66^\circ$)
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1. if i am looking for a line parallel to $y = -3x - 2$ which one of th…
1. B. $y = -3x + 6$ 2. A. Perpendicular 3. A. $y = 2x - 5$
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7. consider the following triangles. 7a which of these triangles are co…
A. Triangle with 99°, 46°, included side 10, B. Triangle with 99°, 46°, included side 10
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6. consider the following three triangles: which two triangles are cong…
A and C
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question determine if the two triangles are necessarily congruent. if s…
First blank: **Yes** Flowchart fill-in (top to bottom, left to right): 1. Type of Statement: $\boldsymbol{\overline{DC} \cong \overline{FR}}$, Reason: GIVEN 2. Type of Statement: …
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5. consider the diagram below. 5a solve for x. x = 45 you got it! 5b de…
$72$
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vector $vec{b}$ has magnitude 1.00 and makes an angle of 70 degrees abo…
$\sqrt{(-2.83)^2 + (2.21)^2} \approx 3.60$
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5. consider the diagram below. 5a solve for x.
$x = 45$
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this historical context matters when discussing why some black american…
1. No, protest is not inherently unpatriotic. Protest often stems from a desire to hold the nation accountable to its founding ideals of justice and equality, which is an act of c…
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4. consider the diagram below. solve for k.
$k = 72$
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a forest ranger in the west observation tower spots a fire $41^{\\circ}…
A. 9.91 mi
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3. consider the diagram below. find the value of w.
$44^\circ$
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using the law of sinesdetermine the measures of all unknown angles and …
$m\angle K = 42^\circ$ $JK \approx 10.42$ $LK \approx 20.92$
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determine the range of the following graph:
$-2 \leq y \leq 4$ (or in interval notation: $[-2, 4]$)
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using the law of sines for the aas case complete the work to determine …
$a\approx5.81$
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what is the area of this figure? square millimeters submit work it out
89 square millimeters
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two right triangles, $\\triangle abd$ and $\\triangle acd$, were create…
The value to fill in the blank is $bc$ (or $b \cdot c$). The final proven identity is $\frac{\sin(B)}{b} = \frac{\sin(C)}{c}$
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what is the area of this figure? 7 m 4 m 2 m 3 m 9 m 3 m 2 m 6 m square…
55 square meters
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2. determine the transformations done on pentagon 1 to obtain pentagon …
A dilation of 2 followed by a reflection over the x-axis.
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determine where x would be if you translated x 3 units to the left and …
D. (-4, -5)
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two right triangles, $\\triangle abd$ and $\\triangle acd$, were create…
Transitive
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1. the point (x, y) is the top of a polygon. which point would it map t…
$(-x, y-6)$ (the third option)
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level 1 true or false: when a point is reflected across a line of symme…
true
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interior angle find the interior angle of each regular polygon. round y…
### Top Worksheet 1) Sum of interior angles = $1080^\circ$, Each interior angle = $135.0^\circ$ 2) Sum of interior angles = $360^\circ$, Each interior angle = $90.0^\circ$ 3) Sum …
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two right triangles, $\\triangle abd$ and $\\triangle acd$, were create…
The value to fill in the blank is $bc$ (or $b \cdot c$). The final proven identity is $\frac{\sin(B)}{b} = \frac{\sin(C)}{c}$