幾何
三角形、圓、解析幾何與證明題。
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find the distance between the points (8, -8) and (3, 4). round decimals…
$13$
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find the distance between the points (4, -2) and (-2, -10). round decim…
10
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construct a parallel line through the given point: 29) 30) construct a …
The parallel lines for 29 and 30 and the perpendicular bisectors for 31 and 32 are constructed as described above.
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use the graph to answer the question. identify the x - and y - intercep…
x - intercepts: (-1,0) and (3,0) y - intercept: (0,-3)
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using the graph, determine the coordinates of the x - intercepts of the…
$(-8,0),(-6,0)$
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the measures of the angles of a triangle are three consecutive even int…
58, 60, 62
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question point q is on line segment pr. given qr = 2x + 4, pq = x, and …
$46$
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two angles are supplementary if their sum is 180°. the larger angle mea…
The smaller angle measures $58^{\circ}$. The larger angle measures $122^{\circ}$.
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1. calculate the perimeter. leave your answer in simplest form. 3a mcr3…
$14\sqrt{5}$
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the measures of the angles of a triangle are shown in the figure below.…
41
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what is the value of d? 61°
\(119\)
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what is the length of the hypotenuse? if necessary, round to the neares…
20
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which angles are corresponding angles? ∠jil and ∠fgj ∠kjg and ∠jil ∠jig…
∠JIL and ∠FGE
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plot the ordered pair (1 1/2, - 2). state in which quadrant or on which…
IV
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you start at (0, -2). you move left 2 units and down 2 units. where do …
$(-2,-4)$
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what is the length of the hypotenuse? if necessary, round to the neares…
55
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you start at (5, 5). you move down 9 units and up 1 unit. where do you …
$(5, - 3)$
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#3 tell whether the blue figure is a reflection of the red figure. the …
is not
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find the length of the arc s in the figure. (assume r = 2 and θ = 102°)…
$\frac{17\pi}{15}$
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4. rectangle cdef undergoes a dilation centered at the origin. the resu…
The rectangles are similar but not congruent. Dilation changes size while keeping shape, so angles are equal and side - lengths are proportional, which is the definition of simila…
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describe the relationship between the point c(-5, - 3) and the point a(…
reflection in the x - axis and in the y - axis
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which angles are supplementary angles? ∠lki and ∠jkn ∠lki and ∠lkn ∠lki…
∠LKI and ∠LKN
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use the distance formula to find the distance between each pair of poin…
1. Distance between A(2,3) and B(5,7) is 5. 2. Distance between V(-2,-6) and W(6,9) is 17. 3. Distance between J(-3,2) and K(6,5) is $3\sqrt{10}$. 4. Distance between R(-7,-3) and…
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solve the inequality. then graph the solution set and write it in inter…
A. The solution set is \([3,13]\) The correct graph is a number - line with a closed circle at 3 and a closed circle at 13, and the line segment between them is shaded. Among the …
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write the following as an algebraic expression. then simplify. the peri…
$3z - 13$
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which angles are vertical angles? ∠pqn and ∠rqs ∠pqs and ∠ron ∠mnl and …
$\angle ONQ$ and $\angle MNQ$
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which angles are alternate interior angles? ∠str and ∠utw ∠xwt and ∠stw…
∠XWT and ∠STW
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problem 3 polygon b is a scaled copy of polygon a. a 2.5 1.5 2.5 b 5 53…
a. The scale factor from Polygon $A$ to Polygon $B$ is $2$ because $\frac{5}{2.5}=2$. b. The missing side - lengths in Polygon $B$ are $3$ and $5$. c. The missing angle - measures…
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12. milena has a book of paper figures that can be cut out and folded a…
320 $cm^2$
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which angles are supplementary angles? ∠srt and ∠sro ∠qrt and ∠pom ∠nor…
∠SRT and ∠SRO
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which angles are alternate exterior angles? ∠qru and ∠vuw ∠tuw and ∠srp…
\(\angle TUW\) and \(\angle SRP\)
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12. milena has a book of paper figures that can be cut out and folded a…
A. \(320\) \(cm^2\) B. No. When we fold the net, the lengths and connections of the rectangles do not match the given three - dimensional figure. C. \(320\) \(cm^3\)
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which angles are corresponding angles? ∠lkh and ∠jkm ∠lkh and ∠ihf ∠lkm…
∠LKH and ∠IHF
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10. what is the surface area of the three - dimensional figure represen…
105 square inches
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what is the length of the hypotenuse? if necessary, round to the neares…
85
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directions: draw each type of angle below the name. 5. acute angle 6. r…
To draw an acute angle: Use a protractor to draw two rays with an angle measure between 0° and 90°. To draw a right angle: Use a protractor to draw two rays forming a 90° angle. T…
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9. what is the surface area of the rectangular prism formed by the patt…
D. $146$ $cm^2$
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what is the length of the hypotenuse? if necessary, round to the neares…
13
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8. marta has a cube that she wants to paint. she needs to find the surf…
$384$ $cm^{2}$
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1. (mangle fcd=x + 41), (mangle bcf=x + 78), and (mangle bcd = 95^{circ…
$x=-12$ ### 2.
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25/55 all the ________ in a rhombus are congruent. sides diagonals angl…
sides
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7. what is the area of the shape above? work: a. 6 square inches b. 28 …
D. 38 square inches
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24/55 put a check mark by all the properties that apply to rhombus rhom…
- Diagonals bisect each other - Diagonals are perpendicular to each other - Opposite sides are congruent
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you start at (0, 8). you move up 1 unit. where do you end?
(0, 9)
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question 16, 2.2.49 part 2 of 3 the graph of an equation is shown on th…
(a) A. The x - intercept(s) is/are - 3. B. The y - intercept(s) is/are 2. (b) The graph is symmetric with respect to none of these.
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you start at (0, 4). you move right 3 units. where do you end?
$(3,4)$
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the perimeter of the rectangle below is 118 units. find the length of s…
36
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the perimeter of the triangle below is 34 units. find the value of y.
$5$
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find the measure of n: 117° 3n° 39 117 25 63
21
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the perimeter of the rectangle below is 76 units. find the length of si…
21
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22/55 properties of a square include: opposite sides congruent & no rig…
four congruent sides & four right angles: diagonals bisect, are perpendicular, & are congruent
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which angles are consecutive interior angles? ∠ihe and ∠deh ∠ihj and ∠g…
\(\angle FEH\) and \(\angle IHE\)
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perpendicular lines have: equal length opposite & reciprocal slope noth…
B. opposite & reciprocal slope
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which angles are vertical angles? ∠lkm and ∠lkh ∠jkh and ∠lkm ∠ihf and …
∠JKH and ∠LKM
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a ______________ is a quadrilateral with two sets or parallel sides and…
C. rhombus
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if the point (x, y) is on the y - axis, which of the following must be …
$x = 0$
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su and vx are parallel lines. which angles are vertical angles? ∠utr an…
∠UTR and ∠STW
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if the point (x, y) is in quadrant ii, which of the following must be t…
x < 0 and y > 0
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if x > 0 and y < 0, where is the point (x, y) located? quadrant i quadr…
The point $(x,y)$ is located in Quadrant IV.
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if x < 0 and y = 0, where is the point (x, y) located? on the x - axis …
on the x - axis
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pr and su are parallel lines. which angles are supplementary angles? ∠s…
$\angle STV$ and $\angle STQ$
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use the graph to determine the length of segment ed. enter the coordina…
$d=\sqrt{(-11-(-3))^2+(-11 - (-1))^2}$; $d=\sqrt{(-8)^2+(-10)^2}$; The length of segment ED is approximately $12.8$ centimeters.
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: -2 (b) x - intercept: -1
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write an equation for the line in slope - intercept form. (use integers…
$y=-2x + 8$
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4. dimitri made a scale drawing of a mural he is going to paint. there …
48 square feet
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3. on a floor plan, bellas rectangular basement measures 3 centimeters …
60 square meters
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2. what is the actual area of the front wall of the house? scale: 1 cm …
$\frac{81\sqrt{3}}{4}\ m^{2}\approx35.07\ m^{2}$
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1. what is the actual area of the window? scale: 1 in. = 2 ft. 3 in. 4 …
48 square feet
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5. -/1 points find the degree measure of the angle with the given radia…
$-103.1^{\circ}$
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6. lines j and k are parallel. mark any four congruent angles.
Any four corresponding angles (or any four alternate - interior or alternate - exterior angles) formed by the transversal and the parallel lines \(j\) and \(k\) are congruent. For…
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now, find the actual area of the room. multiply length times width. try…
48 square feet
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practice problems 6 from unit 1, lesson 3 here is an octagon. (note: th…
a. Yes. The octagon is inscribed in a square of area 100 square inches. Since the octagon is inside the square, its area must be less than the area of the square. b. 82 square inc…
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4. the length of a car on a scale drawing is 3.25 inches. if the scale …
13 feet
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2. what is the actual height of the door? scale: 1 in. = 2.5 ft. 2.5 in.
6.25 ft
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4. the length of a car on a scale drawing is 3 inches. if the scale dra…
6.25 feet
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9 practice problems 6 from unit 1, lesson 3 here is an octagon. (note: …
a. Yes, Lin is correct. The octagon is inscribed in a 10 - inch by 10 - inch rectangle with an area of 100 square inches, so the area of the octagon is less than 100 square inches…
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problems 3 - 5: determine the measure of each angle in the diagram. exp…
3. $\angle ABC = 50^{\circ}$ 4. $\angle EBD = 50^{\circ}$ 5. $\angle ABE=130^{\circ}$
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1. what is the actual length of the painting? scale: 1 in. = 2 ft. 1.25…
$2.5$ ft
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consider point q which is the same distance from points a and b. ray qp…
Line segment $AC$ is congruent to line segment $BC$. The distance from point $P$ to point $A$ is the same as the distance from point $P$ to point $B$. The measure of $\angle ACQ$ …
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from unit 1, lesson 8 find the area of the shaded triangle. show your r…
18
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the perpendicular bisector theorem. consider pc which is the perpendicu…
True : $m\angle RPC = m\angle BPC$ False : $PC = PR$ True : $RC = CB$ True : If point $F$ lies on line $PC$, then $FR = FB$ True : If point $G$ lies on line $PC$, then $GB = GR$
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3 here is a right triangle. name a corresponding height for each base. …
a. Side \(e\) b. Side \(d\) c. Side \(g\)
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study the example and then answer each question. decide whether each st…
True : $m\angle RPC=m\angle BPC$ False : $PC = PR$ False : $RC = CB$
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the diagram below shows the function $r_{b,75}(sv)$. use the diagram to…
1. $75$ 2. $SV$ 3. $75^{\circ}$ 4. $75$
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3 here is a right triangle. name a corresponding height for each base. …
3. a. $e$ b. $d$ c. $g$ 4. 18
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the diagram below shows the function $r_{\\ell}(\\overline{sv})$. point…
1. $SV$ 2. $SM$ 3. $VG$
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recall that, in geometry, one type of rigid motion is a translation, or…
True, False, False, True, True
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find the value of x. x =
20
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find the values of x and y. (5y)° (2y + 12)° (5x)° x = y =
$x = 18$ $y = 24$
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find the values of x and y. (5x + 9)° (4y)° (5y - 1)° 116° x = y =
x = 11 y = 13
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planes q and r are parallel. explain how you know lines a and b are ske…
Lines a and b are skew because they are in parallel planes (Q and R), do not intersect, and are not parallel to each other.
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are the lines in the diagram perpendicular, parallel, skew, or none of …
\(m\) and \(n\): skew \(l\) and \(n\): parallel \(l\) and \(m\): skew
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planes m and n intersect at line d. line a forms a right angle with lin…
a and c, a and e, c and b
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use the diagram to complete the statements. segment ad must be congruen…
Segment AD must be congruent to segment CD. Segment BC must be congruent to segment AB.
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2 for each triangle, a base and its corresponding height are labeled. a…
a. Triangle A: 12, Triangle B: 16, Triangle C: 16 b. The area of a triangle is half the product of its base and the corresponding height.
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the slope measurement between two points is 36.255 m, and the slope ang…
$36.247$ m
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show all calculations for each problem. a 100 - ft \tape\ steel tape wa…
52.27 ft
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applying the perpendicular bisector theorem. what is the length of segm…
12
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which graph shows rotational symmetry?
The fourth graph (the graph of \(h(x)\)) shows rotational symmetry.
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question 12, 2.2.41, part 2 of 2. hw score: 21%, 10.5 of 50 points. poi…
(a) A. The intercept(s) of the graph are (0,3),(0, - 3) (b) A. The graph is symmetric with respect to the y - axis