幾何
三角形、圓、解析幾何與證明題。
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for each set of three measures, determine if they can be angle measures…
(a) Cannot be angle measures of a triangle (b) Can be angle measures of a triangle (c) Cannot be angle measures of a triangle (d) Cannot be angle measures of a triangle
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write the coordinates of the vertices after a translation 8 units left …
The new coordinates are $P'(-8,-4)$, $Q'(-1,-4)$, $R'(-7,-7)$
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construct a venn diagram illustrating the sets below. $u = {1, 2, 3, 4,…
The Venn - diagram should have three overlapping circles labeled W, Y, and Z inside a rectangle labeled U. The number 1 should be in the region where all three circles overlap. Th…
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find the distance between the two points rounding to the nearest tenth …
$10$
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the area of a square frame is 55 square inches. find the length of one …
# Explicación: ## Paso 1: Recordar la fórmula del área de un cuadrado La fórmula del área $A$ de un cuadrado es $A = s^{2}$, donde $s$ es la longitud del lado. Dado que $A = 55$ p…
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write a rule to describe each transformation.
5. $(x,y)\to(x,y - 4)$ 6. $(x,y)\to(-x,y)$
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parallel lines cut by a transversal coloring activity! 1 find the value…
1. **For problem 1 (assuming the angles are corresponding or alternate - interior/exterior angles):** - **Explanation**: - Given two angles \((14x - 13)^{\circ}\) and \((8x + 5)^{…
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write the vector in component form.
$\langle3,6 angle$
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what is the length of $overline{gh}$?
1
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if the relative clause in bold is nonrestrictive, set it off with a com…
Sandeep steered his rowboat quietly past the fishing boats and went unnoticed by everyone, except for the man whose fishing line became hopelessly tangled around Sandeep's oar.
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find the measure of angles 1 - 7 given that lines m and n are parallel …
$m\angle1 = 58^{\circ}$ $m\angle2 = 122^{\circ}$ $m\angle3 = 122^{\circ}$ $m\angle4 = 58^{\circ}$ $m\angle5 = 58^{\circ}$ $m\angle6 = 58^{\circ}$ $m\angle7 = 122^{\circ}$
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what error did tyler make? m∠1 = 72 by same - side exterior angles theo…
Tyler misapplied the same - side exterior angles theorem. The same - side exterior angles are supplementary, not equal. The measure of \(\angle1\) is 108.
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what single transformation was applied to triangle a to get triangle b?…
Translation
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what single transformation was applied to quadrilateral a to get quadri…
B. Rotation
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explain how to plot a point in the rectangular coordinate system. give …
For example, to plot the point \((3,-2)\), first move 3 units to the right along the x - axis (because the x - coordinate 3 is positive), then move 2 units down parallel to the y …
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consider the figure shown. classify each of the following statements as…
always true
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determine which translations would map figure w onto figure x. press \t…
A translation 3 units left and 4 units down.
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a hexagonal pyramid is cut by a plane as shown in the diagram. what is …
C. a hexagon
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jake volunteers to help out his younger brothers basketball team in his…
C. 3,775.23 $\pi$ cubic inches
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the midpoint of $overline{jk}$ is $m(-2.5, 0.05)$. one endpoint is $k(1…
$(-18.6,-12.1)$
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point d(7, 1) is the image of d(7, 6) under a translation. determine th…
5; down
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identify the slope and y - intercept of the line below. slope = y - int…
slope = -4 y - intercept = 8
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determine the quadrant in which the terminal side of θ lies. (a) cosθ <…
(a) Second quadrant (b) Fourth quadrant
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complete the two - column proof. given: x||y prove: ∠3≅∠5 statements: 1…
1) Given 2) Same - Side Interior Angle Postulate 3) Same - Side Interior Angle Postulate 4) Subtraction Property of Equality 5) Definition of congruence; \(\angle3\cong\angle5\)
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lines m and n are parallel. find the measures of angles x, y, and z in …
\(m\angle x = 60^{\circ}\) \(m\angle y = 60^{\circ}\) \(m\angle z = 120^{\circ}\)
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find the values of x and y. x = (do not include the degree symbol in yo…
1. **Explanation**: - Since the problem involves finding the values of \(x\) and \(y\) from a geometric - figure (presumably parallel lines and transversals), we assume that the a…
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | |--|--| | $m\angle1 = 44^{\circ}$ | Vertical angles are congruent | | $m\angle2 = 136^{\circ}$ | Linear - pair angles are supplementary | | $m\angle3 =…
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5. write the standard form of the equation of the circle with the given…
$(x - 5)^2+(y + 3)^2=16$
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read the excerpt from chapter 6 of lizzie bright and the buckminster bo…
Turner's act of whispering when he tells his father, "It matters to me"
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answer the questions about the solids below. which figure shows a spher…
Which figure shows a rectangular prism? - Figure C Which figure shows a rectangular pyramid? - None Which figure shows a sphere? - None
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consider the angles formed by the garden gate. what can be concluded fr…
a. D. It can be concluded that \(\angle1\cong\angle2\) since all right angles are congruent. b. C. It can be concluded that \(\angle3\cong\angle4\) since vertical angles are congr…
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the graph shows percentages of sales made by various divisions of a com…
To find the percentage for a division, divide the measure of the angle formed by its segment by 360 and multiply the result by 100.
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write a two - column proof for the following. given: m∠2 = 30 m∠1 = 2m∠…
The two - column proof is completed as follows: | Statements | Reasons | |--|--| | 1) m∠2 = 30 | 1) Given | | 2) m∠1 = 2m∠2 | 2) Given | | 3) m∠1 = 2(30) | 3) Substitution | | 4) …
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the midpoint of $overline{ab}$ is $m(1,5)$. if the coordinates of $a$ a…
$(-5,4)$
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find the surface area and volume of the solid. round each measure to th…
Volume: approximately $329.9$ cubic - feet Surface area: approximately $292.0$ square - feet
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look at the floor plan. abdul sees the image of a clock in the mirror o…
c. Option C b. On the other side of the line of reflection, symmetrically opposite to its image. c. His image is located on the other side of the line of reflection, at an equal d…
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quadrilateral abcd is the image of quadrilateral abcd under a translati…
A translation by 3 units to the right and 6 units down.
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write the biconditional as a conditional and its converse. then determi…
The conditional: If an angle is acute, then it has a measure less than 90°. The converse: If an angle measures less than 90°, then it is acute. The biconditional is true.
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graph the horizontal or vertical line. y = 3 use the graphing tool to g…
A horizontal line passing through the point $(0,3)$ on the $y$-axis where for all $x\in R$, $y = 3$.
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trapezoid lmnp was constructed using trapezoid lmnp. for the transforma…
LL'=PP', LL'=MM', Trapezoid LMNP is congruent to trapezoid L'M'N'P', All line segments that connect a point on the pre - image to its corresponding point on the image are parallel.
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scale: 1 inch : 4 feet. what is the actual area of the living room? blu…
240 ft²
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determine which translations would map figure w onto figure x. press \t…
A translation 3 units to the right and 4 units up.
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line v has a slope of $\frac{-9}{5}$. line w is parallel to line v. wha…
$\frac{-9}{5}$
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4. how can you verify the converse of the pythagorean theorem using geo…
C. By calculating numerical values
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directions: solve each compound or double - inequality and then match t…
1. Match with the graph that has open - circles at 2 and 5 and a line segment between them. 2. Match with the graph that has closed - circles at - 3 and 2 and a line segment betwe…
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the midpoint of $overline{ab}$ is $m(1,2)$. if the coordinates of $a$ a…
$(4,-3)$
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find the x- and y-intercepts of the line. enter each answer as an order…
x - intercept: (3,0) y - intercept: (0,1.5)
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look at this graph: what is the y - intercept?
3
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which pairs of figures below are congruent? congruent? yes no yes no co…
First pair: Yes Second pair: No Third pair: Yes Fourth pair: No
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draw a line representing the “rise” and a line representing the “run” o…
The slope of the line is \(1\).
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a frame shop charges according to both the amount of framing needed to …
a. 144 in b. A. Both the frame and the glass have to do with area.
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substitute the given values into the given formula and solve for the un…
$13.0$
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in the figure, $overrightarrow{ca}$ and $overrightarrow{ce}$ are opposi…
$56$
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in the figure, $overrightarrow{ca}$ and $overrightarrow{ce}$ are opposi…
A. $\angle DFC$ and $\angle CFG$, D. $\angle HFD$ and $\angle CFD$, E. $\angle GFH$ and $\angle GFC$, F. $\angle HFG$ and $\angle DFH$
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look at this graph: what is the equation of the axis of symmetry?
$y = 0$
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look at this graph: what are the coordinates of the vertex?
(0, - 5)
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write the converse, inverse, and contrapositive of the true conditional…
Converse: If you have two acute angles, then the angles are complementary. False, counter - example: two acute angles \(30^{\circ}\) and \(40^{\circ}\). Inverse: If two angles are…
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3. the diagram shows three lines with some marked angle measures. find …
For the first set of question - marks: 35°, 145°, 35°, 145°; for the second set of question - marks: 27°, 153°, 27°, 153° ### 4.
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the midpoint of $overline{ab}$ is $m(-2,4)$. if the coordinates of $a$ …
$(-3,3)$
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9. use the diagram below to answer the following questions. a) name a t…
a) A transversal: The slanted line (any non - parallel line can be chosen as a transversal) b) Corresponding angles: $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ an…
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exploring rotations explore the properties of rotation by following the…
$90$
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draw a line representing the “rise” and a line representing the “run” o…
The slope of the line is $-\frac{1}{2}$
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which of the numbered stones shown cannot be mapped to another with a r…
4
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find the perimeter. include the unit.
49 m
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two angles are complementary. the measure of the larger angle is 6° les…
The measure of the smaller angle is 24 degrees and the measure of the larger angle is 66 degrees.
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6. figure 2 is a scale drawing of figure 1. the area of figure 1 is 20 …
5 square units
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question find the midpoint of the segment with the following endpoints.…
$(7,\frac{13}{2})$
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what is the missing length in the scaled copy? units original scaled co…
15
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what is the missing length in the scaled copy? units original scaled co…
80
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question the midpoint of $overline{ab}$ is $m(-1, -5)$. if the coordina…
$(-4,-6)$
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the scale factor is the number you multiply each length in the original…
10
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original scaled copy 5 ? 3 6 4 8 what number can you multiply each orig…
2
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the midpoint of $overline{ab}$ is $m(3,2)$. if the coordinates of $a$ a…
$(-2,-3)$
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find the missing side length, in units, in the scaled copy. original sc…
30
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what is true about the angles in the original figure and the scaled cop…
The angle measures in the original figure and the scaled copy are the same.
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how do you see it? consider the lines that contain the segments in the …
a. $\overleftrightarrow{KL}$, $\overleftrightarrow{MP}$, $\overleftrightarrow{RS}$ b. $\overleftrightarrow{NK}$, $\overleftrightarrow{NM}$, $\overleftrightarrow{QP}$, $\overleftri…
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4. three rods will be used to make a right - angled triangle. the yello…
45 cm
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which figure has the same shape as figure a? figure b figure c figure d…
figure E
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5. figure 2 is a scale drawing of figure 1. the area of figure 1 is 20 …
180 square units
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can you prove these shapes are congruent?
yes
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find the exact area and perimeter of each of the shaded regions below. …
**Problem 2**: Area \(=49\pi - 98\) \(m^{2}\) Perimeter \(=14\pi\) m **Problem 3**: Area \(=40\) \(ft^{2}\) Perimeter \(=62\) ft **Problem 4**: Area \(=39\pi\) \(cm^{2}\) Perimete…
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4. three rods will be used to make a right - angled triangle. the yello…
# Explanation: ## Step1: Identify the longest rod The green rod is the longest and is 53 cm long. ## Step2: Set up the relationship between yellow and purple rods Let the length o…
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are these shapes similar? yes no work it out not feeling ready yet? the…
no
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look at this sentence: the speed at which a caterpillar turns into a bu…
3. to change form, shape, or color
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question in △ijk, jk = 19, ki = 16, and ij = 5. which statement about t…
\(m\angle I > m\angle J > m\angle K\) (the option corresponding to this in the multiple - choice list)
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isaac says that the shaded part of the figure represents $\frac{1}{2}$ …
No, because the shaded and unshaded parts do not have equal areas.
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in δuvw, vw = 6, wu = 16, and uv = 13. which statement about the angles…
\(m\angle V>m\angle W > m\angle U\)
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4. figure 2 is a scale drawing of figure 1. figure 1 has an area of 8 s…
5
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1 determine the measure of all the angles. a
The angles are \(36^{\circ}\) and \(144^{\circ}\), and the angles with the same measures as their corresponding and vertical angles are also \(36^{\circ}\) and \(144^{\circ}\) res…
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which graphs are linear? mark all graphs that are linear.
The first and fourth graphs are linear.
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4. in which sentence is tangent used correctly? a. a single tangent of …
4. B. A single tangent of a circle touches the circle at one point then does not pass through the circle. 5. B. Gallery visitors were fascinated by the unusual arrangement of line…
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in the figure below, m∠1 = 102°. find m∠2, m∠3, and m∠4. m∠2 = m∠3 = m∠…
$m\angle2 = 78^{\circ}$, $m\angle3 = 102^{\circ}$, $m\angle4 = 78^{\circ}$
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1. in which sentence is impeach used correctly? a. the city council may…
1. A. The city council may impeach the mayor for accepting bribes. 2. A. The professor was live streaming a video from the university's website. 3. A. Her entrepreneurship led her…
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explore the properties of rotation by following these steps. √ 7. the e…
The lengths of $PA$ and $PA'$ are equal. After measuring with a ruler, if $PA = x$ units, then $PA'=x$ units. (You need to perform the actual measurement to get the specific numer…
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write a conjecture that describes the pattern in each sequence. then us…
1. 24 2. 22222 3. \(\frac{1}{16}\) 4. \(\frac{7}{2}\) 5. 7:30 A.M. 6. 79% 7. Shaded part in top - right quadrant 8. Figure with 2 small rectangles 9. The product of two odd number…
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in the figure below, m∠2 = 137°. find m∠1, m∠3, and m∠4.
$m\angle1 = 43^{\circ}$ $m\angle3 = 43^{\circ}$ $m\angle4 = 137^{\circ}$
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look at this sentence: improve the condition of your horses coat by bru…
2. the hair or fur that covers an animal's body
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b 34° 126° x°
20
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a farmer is filling their circular water tank, which has a diameter of …
The volume of the circular water tank is $48\pi$ cubic - meters. Multiply the volume of the tank by $264$ to find the volume in gallons. Then, multiply the volume in gallons by $\…
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in the figure below, m∠3 = 33°. find m∠1, m∠2, and m∠4.
$m\angle1 = 33^{\circ}$, $m\angle2 = 147^{\circ}$, $m\angle4 = 147^{\circ}$