幾何
三角形、円、座標幾何、証明問題。
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question 2 identify the transformation in the following figure. reflect…
B. Reflection over the x - axis
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question 1 the preimage and image of trapezoid abcd is shown in the coo…
Reflection across the x - axis
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question 5 consider the figure below. which pair of angles are congruen…
\(\angle3\) and \(\angle4\)
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question 4 consider the figure below. let ∠8 = 2x + 7 and ∠7 = 7x - 7. …
$133^{\circ}$
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question 3 consider the figure below. which angle is supplementary to ∠…
∠1
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11) 12) 13) radius = 5.2 ft c = 2π(5.2)=32.7 30.7 14) radius = 11.1 ft …
11) $C = 26.376$ yd 12) $C = 38.936$ mi 13) $C\approx32.7$ ft 14) $C = 69.708$ ft 15) $C\approx59.7$ in 16) $C = 58.404$ in
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question 2 fill in the blank with the correct answer. ∠5 is ______ to ∠…
Congruent
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question 1 consider the figure below. if ∠1 is twice the size of ∠2, wh…
B. $60^{\circ}$
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directions answer the question below to check your understanding and mo…
∠D and ∠F
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solve each formula or equation for the designated letter. 27. $i = prt$…
27. $r=\frac{I}{Pt}$ 28. $w = \frac{V}{lh}$ 29. $b=\frac{2A}{h}$ 30. $h=\frac{3V}{B}$ 31. $L=\frac{P - 2W}{2}$ 32. $W=\frac{P - 2L}{2}$
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in the figure below, which set of angles are not congruent? select the …
$\angle g$ and $\angle c$
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45. given that $mangle a = 48^{circ}$, what are the measures of a compl…
The measure of the complement of ∠A is 42° and the measure of the supplement of ∠A is 132°.
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5) radius = 2.6 in 6) radius = 34.1 in 7) radius = 13.2 km 8) radius = …
For radius $2.6$ in, circumference is approximately $16.3$ in. For radius $34.1$ in, circumference is approximately $214.3$ in. For radius $13.2$ km, circumference is approximatel…
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25. la figure ci - dessous est composée dun rectangle et dun triangle i…
$\frac{2x^{2}+5x - 4}{2}\text{ cm}^2$
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find the perimeter and area of the figure. the perimeter of the figure …
The perimeter is 36 yards. The area is 60 square yards.
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graph the following function on the axes provided. f(x)=\begin{cases}-2…
Graph a line $y=-2x + 4$ for $x < - 1$ with an open - circle at $(-1,6)$ and a line $y=-5x + 19$ for $x>3$ with an open - circle at $(3,4)$.
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consider the figure below. what is the main difference between linear p…
C. Linear pairs must be adjacent.
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consider the figure below. which pair of angles is supplementary? 5 and…
5 and 3
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question 3 consider the figure below. which pair of angles are vertical…
4 and 3
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consider the figure below. which pair of angles form a linear pair? 2 a…
Question 1: D. 5 and 6 Question 2: D. Always
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check for understanding: linear pairs and vertical angles not graded di…
True
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find the perimeter and area of the figure. the perimeter of the figure …
The perimeter of the figure is 12 meters. The area of the figure is 6 square meters.
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circumference and area of circ find the area of each. use your calculat…
$113.04$ in²
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suppose $moverparen{kli}=132^{circ}$ and $mangle lkj = 49^{circ}$. find…
$114$
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the radius of the wheel of a unicycle is 14 inches. what is the distanc…
$879.2$ inches
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determining endpoints in exercises 41 - 44, you are given an endpoint a…
$(-7,-7)$
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is there a proportional relationship between a circles area and its rad…
No, there is no proportional relationship between a circle's area and its radius because the ratio of the area of a circle to its radius ($\frac{\pi r^{2}}{r}=\pi r$) is not a con…
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angle 3 equals 5x - 2. angle 5 equals 2x + 7. what is the value of x? 2…
There is an error in the answer choices as \(x = 3\) and the angle measures (when substituting \(x = 3\) into \(5x-2\) and \(2x + 7\)) are \(13\) degrees each, not any of the give…
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angle 3 equals 5x - 2. angle 5 equals 2x + 7. what is the value of x? 2…
$x = 3$
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find the perimeter and area of the figure. the perimeter of the figure …
The perimeter is 20 centimeters and the area is 25 square centimeters.
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what is the value of x if the measure of angle 8 equals 2x and angle 2 …
62.5 degrees
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a plot of land is in the shape of a triangle. if one side is x meters, …
$12x - 8$
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which pair of angles represents alternate exterior angles? 2 and 8 1 an…
A. 2 and 8
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which pair of angles represents alternate exterior angles? question 9 2…
A. 2 and 8 B. 1 and 7
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which pair of angles represents alternate interior angles? question 8 w…
3 and 6
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question 6 which pair of angles represents corresponding angles? 7 and …
7 and 3
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which of the following statements is always true? 4 and 5 are supplemen…
3 and 5 are supplementary
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which of the following statements is false? 6 is congruent to 7 1 is co…
$\text{2 is congruent to 7}$
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the perimeter of a geometric figure is the sum of the lengths of its si…
a. B. \(x + x+x + 2x+2x=28\) b. \(x = 4\) c. The shorter sides have a length of \(4\) cm. The longer sides have a length of \(8\) cm.
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question 3 true or false: in the figure below, angle 4 and angle 1 are …
False
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question 2 which pairs of angles do not form a linear pair? 1 and 2 2 a…
2 and 4
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this diagnostic assesses your knowledge of this topic. happy answering!…
Vertical angles are congruent to one another and linear pairs are supplementary angles.
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the perimeter of a geometric figure is the sum of the lengths of its si…
a. B. \(x + x+x + 2x+2x=28\) b. \(x = 4\) c. 4
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question 4 let angles a and b be complementary and next to each other. …
B. Straight
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question 3 consider the figure below. which angles are complementary to…
C. A and B
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question 2 consider the figure below. which angle or angles are supplem…
C. b and d
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directions to complete this assignment you will be answering a series o…
Angle A and C are congruent because they are vertical angles.
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check for understanding: constructing angles not graded directions answ…
Sometimes true
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find the perimeter and area of the figure. the perimeter of the figure …
Perimeter: 26 feet Area: 30 square feet
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the perimeter of a geometric figure is the sum of the lengths of its si…
a. D. $x + x+x + 3x+3x=36$ b. $x = 4$ c. Three sides are 4 cm each and two sides are 12 cm each.
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check for understanding: special angle relationships not graded directi…
\(64^{\circ}\)
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using the distance formula find the distance between the two points. ro…
$7.00$
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¿cómo hacerlo? 4. ¿cuál es la distancia entre la punta de la caña de pe…
13 pies
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1. find the value of x in the diagrams below. (3x - 1)° 71° 2. (2x)° (4…
1. \(x = 24\) 2. \(x = 3\) 3. \(m\angle A = 52^{\circ}\), \(m\angle B = 52^{\circ}\) 4. \(m\angle P=143^{\circ}\), \(m\angle Q = 37^{\circ}\)
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problem 5 (from unit 1, lesson 6) the point (-2,-3) is rotated 90 degre…
C. $(3,-2)$
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problem 6 (from unit 1, lesson 7) describe a rigid transformation that …
Translate Polygon A 4 units to the left and 5 units up.
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in the triangular prism shown below, which planes are parallel? select …
FGH and CDE, DEG and CEF
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problem 4 pg. 60 a) reflect trapezoid a over the x - axis. label the im…
a) Follow the reflection rules to plot trapezoid B (reflection of A over x - axis) and trapezoid C (reflection of B over y - axis). b) Trapezoids A and C are congruent because ref…
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in the rectangular prism shown below, which planes intersect? rsv and t…
RUV and TUX
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draw line(s) to show how you decomposed the figure. what is the volume …
The volume of the first figure is 140 cubic feet and the volume of the second figure is 350 cubic inches.
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in the cube shown below, which planes intersect? kno and lmp klo and kn…
KLO and KNO
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in the triangular prism shown below, which lines are intersecting? ab a…
$\overrightarrow{AB}$ and $\overrightarrow{AD}$
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date: 1. give all relationships between ∠1 and ∠2. 2. 3. ∠1 and ∠2 are …
1. ∠1 and ∠2 are vertical angles, so ∠1 = ∠2. 2. ∠1 and ∠2 are complementary (∠1+∠2 = 90°). 3. m∠2 = 64° 4. m∠Q = 17° 5. a) m∠AEC = 28° b) m∠CEB = 152° c) m∠FEC = 152°
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in the rectangular prism shown below, which lines are skew? jn and kn i…
$\overrightarrow{IJ}$ and $\overrightarrow{KN}$
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in the triangular pyramid shown below, which lines are intersecting? op…
$\overrightarrow{FG}$ and $\overrightarrow{FH}$
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draw line(s) to show how you decomposed the figure. what is the volume …
For the first figure: $32$ $cm^3$. For the second figure: $280$ $m^3$.
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in the rectangular prism shown below, which planes are parallel? select…
FIJ and HIL, JKL and FGH, FIJ and GHK
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in the triangular prism shown below, which planes intersect? select all…
RSU and RST, RSU and STV, STV and UVW, RTU and RST
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in the triangular prism shown below, which lines are skew? work it out
$\overrightarrow{RU}$ and $\overrightarrow{ST}$, $\overrightarrow{RU}$ and $\overrightarrow{TW}$
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in the cube shown below, which planes are parallel? dgh and hdj dgh and…
FGJ and DEH
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problem 2 draw two rectangles that have the same area, but are not cong…
Draw a rectangle with length 4 units and width 3 units and a rectangle with length 6 units and width 2 units.
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using the distance formula find the distance between the two points. ro…
$10.20$
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in the triangular pyramid shown below, which lines are skew? lo and no …
$\overrightarrow{LO}$ and $\overrightarrow{MN}$
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in the square pyramid shown below, which lines are skew? select all tha…
$\overrightarrow{MP}$ and $\overrightarrow{NO}$, $\overrightarrow{PQ}$ and $\overrightarrow{MO}$, $\overrightarrow{MP}$ and $\overrightarrow{NQ}$, $\overrightarrow{MO}$ and $\over…
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problem 3 for each pair of shapes, decide whether or not it appears tha…
The two shapes are congruent because they have the same shape and size and can be made to coincide with one another.
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in the triangular prism shown below, which lines are parallel? select a…
$\overrightarrow{RS}$ and $\overrightarrow{OP}$, $\overrightarrow{PQ}$ and $\overrightarrow{ST}$, $\overrightarrow{OR}$ and $\overrightarrow{QT}$
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jamarion bruce q1 - accelerated mathematics gr 8 | quiz 2 15. which sta…
B. Corresponding parts must match in length and angle measure.
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unit 1 lesson 11 practice problems pg. 59 problem 1 if two rectangles h…
## Problem 1 No. Counter - example: rectangle with sides 1, 5 and rectangle with sides 2, 4 have same perimeter but are not congruent. ## Problem 2 Draw a rectangle with length 2 …
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14. if triangle a has coordinates (4,0), (5,2), and (3,2) and triangle …
b. Rotation and Reflection
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13. when a figure is rotated 90 degrees counterclockwise around the ori…
d. The coordinates are swapped, and the new x - coordinate is negated
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which of the following is closest to the slope of the line? choose the …
C. 1
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jamarion bruce q1 - accelerated mathematics gr 8 | quiz 2 12. what is t…
3.8
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11. a triangle has vertices (0, 2), (4, 3), and (2, 5). what are the co…
a. $(5, - 2)$
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q1 - accelerated mathematics gr 8 | quiz 2 10. which of the following d…
d. Swap the coordinates and negate the new x - coordinate
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q1 - accelerated mathematics gr 8 | quiz 2 9. when rotating a shape aro…
D. Translate the figure back to its original position
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8. what is the transformation rule for a 90 - degree counterclockwise r…
a. Swap the coordinates and negate the new y - coordinate
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2) find bc
$12.1$ in
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7. what is the result of rotating the point (6, - 3) 180 degrees around…
a. $(-6,3)$
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6. which transformation does not result in congruent figures? a. rotati…
d. Dilation
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5. what happens to a point when it is rotated 180 degrees around the or…
A. Both coordinates are negated
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4. congruent figures must have which of the following characteristics? …
c. Identical sizes and shapes
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3. what is the result of rotating a point (3,4) 90 degrees clockwise ar…
B. $(4, - 3)$
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2. how does translating a figure affect its congruence? a. it changes t…
b. It does not affect congruence.
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1. which formula is used to calculate the distance between two points o…
c. Distance formula
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reflecting a figure over the y - axis changes the sign of its coordinat…
1. x 2. size 3. angle measures 4. congruence
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using the distance formula find the distance between the two points. ro…
$10.82$
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the transformation that involves turning a figure around a fixed point …
1. Rotation 2. Size 3. Dilation 4. Sides 5. $x$ and $y$ coordinates
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select all the correct answers. a farmer wants to build two fenced - of…
(5, 3000), (20, 2200), (10, 1100)
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size congruence distance congruent figures are shapes that have the sam…
1. shape 2. translation 3. distance 4. reflection
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which point on the graph represents a possible number of stingrays, y, …
The point(s) whose \(y\) - coordinate lies within the shaded region of the graph.