几何
三角形、圆、解析几何与证明题。
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which shape has 4 lines of symmetry?
The square (the blue square - first shape in the top - left corner) has 4 lines of symmetry.
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8. if bd = bc, bd = 5x - 26, bc = 2x + 1, and ac = 43, find ab.
24
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find the length of each segment. #1: * 1 point mp your answer this is a…
13
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4) what is the definition of a circle? 5) use straightedge and compass …
4. A circle is the set of all points in a plane that are at a given distance (radius) from a given point (center). 5. Follow the steps above to construct the perpendicular bisecto…
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a triangle has side lengths of (4f + 2) centimeters, (7f + 7) centimete…
$g + 11f+11$ (corresponding to the last option)
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find the value of each variable. 2(5x - 5)° (5y + 5)° (3x - 5)° 20y° x …
$x=\frac{5}{7}$, $y = 7$
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triangle lmn and triangle pst are similar right triangles. which propor…
$\frac{LM}{MN}=\frac{PS}{ST}$
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triangle abc and triangle ade are similar right triangles. which propor…
$\frac{-4-(-2)}{-6 - (-1)}=\frac{-4 - 2}{-9-(-6)}$
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college prep which statements can you conclude from the diagram? select…
$\angle VZT\cong\angle XZY$, $\angle VZX\cong\angle TZY$
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prove the triangles below are similar by using slope. slope= type your …
The slopes of the non - hypotenuse sides of both triangles are $\frac{6}{5}$, so the triangles are similar.
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in 5 - 10, use the graph or the given coordinates of a dilation to dete…
For the left - hand side figure: Scale Factor: \(\frac{1}{2}\) Algebraic Representation: \((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\) For the right - hand side figure: Scale Factor: \(…
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fill in the blank 1 point determine the slope of the line. slope = type…
2
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24. identify the transformation(s) where the image has the opposite ori…
glide reflection or reflection
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23. a composition of reflections across two intersecting lines is a tra…
B. rotation
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22 the figure is reflected across line m and then reflected across line…
translation
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find the slope of the line using similar triangles. a. find rise over r…
A. $\frac{-3}{2}$ B. $\frac{-6}{4}$ C. $\frac{-3}{2}$ D. $\frac{-3}{2}$
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4. scale factor: $\frac{1}{2}$ algebraic representation: ($\frac{1}{2}x…
\(A':(-\frac{7}{2},0)\), \(C':(-1,-3)\)
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completing statements in exercises 10-14, use the property to complete …
\(BC=EF\)
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21. what type(s) of symmetry does this figure have? this figure is not …
rotational
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21. what type(s) of symmetry does this figure have? this figure is not …
It has line symmetry.
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the equation of a circle can be changed from general form to standard f…
C. completing the squares
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20. a taxicab starts at (1, - 2) on the grid. it goes 3 blocks east and…
$(-2,2)$
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choose the equation of a circle with radius 8 and center (3, - 5). choo…
C. $(x - 3)^2+(y + 5)^2=64$
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dilate each of the figures in 1 - 4 by the given scale factor. image as…
\(A'=(-4.5,-1.5)\), \(B'=(-1.5,6)\), \(C'=(4.5,-1.5)\)
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find the area of each trapezoid. 1. 2. 3. 4. 5. 6. 7. the area of a tra…
1. **For the general formula of the area of a trapezoid**: - The formula for the area of a trapezoid is \(A=\frac{(b_1 + b_2)h}{2}\), where \(b_1\) and \(b_2\) are the lengths of …
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state whether the following statement is true or false. the center of t…
False
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find the x - intercept and the y - intercept of the line below. click o…
(a) x - intercept: -5 (b) y - intercept: 2
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state whether the following statement is true or false. the radius of t…
True
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complete the sentence. for a circle, the ____ is the distance from the …
radius
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7.1.04 1. rectangles p, q, r, and s are scaled copies of one another. f…
Rectangle P to rectangle R: greater than 1 Rectangle Q to rectangle S: less than 1 Rectangle Q to rectangle R: greater than 1 Rectangle S to rectangle P: equal to 1 Rectangle R to…
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find the slope of the line using similar triangles. a. find rise over r…
A. $-\frac{3}{2}$ B. $-\frac{3}{2}$ C. $-\frac{3}{2}$ D. $-\frac{3}{2}$
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13. nora and so - hee each solve the equation 2(6 - 4x)=-2x - 2 in diff…
a. So - hee's solution shows a correct method for solving the equation. b. In Nora's solution, the step $2(6)-4x=-2x - 2$ is the first step that shows an error. c. The error is th…
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the mid - point of the line segment from p1 to p2 is (-5,4). if p1 = (-…
$(-4,-1)$
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in exercises 33 - 36, draw the polygons described. if there is more tha…
- For 33: Draw a rectangle with sides 8 cm and 4 cm. - For 34: Use SAS to draw $\triangle ABC$ with $AB = 2$ in, $\angle BAC=75^{\circ}$, $AC = 1$ in. - For 35: Infinitely many no…
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triangle abc has vertices with coordinates a(2, 5), b(4, 2), and c(2, 2…
The coordinates of \(\triangle A'B'C'\) are \(A'(2,8)\), \(B'(6,2)\), and \(C'(2,2)\)
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find the midpoint of the line segment joining the points p1 and p2. p1 …
$(\frac{3}{2},2)$
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find the midpoint of the line segment joining the points p1 and p2. p1=…
$(3,0)$
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find the distance d(p1,p2) between the points p1 and p2. p1=(a,r) p2=(0…
$\sqrt{a^2 + r^2}$
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find the distance d(p1,p2) between the points p1 and p2. p1=(a,1) p2=(0…
$\sqrt{a^{2}+1}$
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find the distance d(p1, p2) between the points p1 and p2. p1=(1, - 1); …
$\sqrt{34}$
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find the distance d(p1, p2) between the points p1 and p2. p1 = (-3, 2);…
$\sqrt{85}$
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find the measure of the arc. 110° a. 110° b. 55° c. 70° d. 250°
d. 250°
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graph the piece - wise function given below. f(x)=\begin{cases}x^{2}-5&…
Graph the parabola \(y=x^{2}-5\) for \(-1\leq x<3\) (closed - circle at \((-1,-4)\) and open - circle at \((3,4)\)) and the absolute - value function \(y = |x - 5|+1\) for \(x\geq…
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3 dilate triangle abc with a scale factor of 3 with center of dilation …
The new triangle has vertices $A'(-1,1)$, $B'(2,-5)$, $C'(8,-2)$
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value: 1 find the measure of the arc. 110° ? a. 110° b. 55° c. 70° d. 2…
D. 250°
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46. determine the area and perimeter of the shape in the figure. measur…
Area: $79.27$ square centimeters, Perimeter: $39.71$ centimeters
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find the value of x.
36
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find the value of x.
$x = 36$
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question 5 (3 points) choose all the rules that represent a dilation of…
a. $(4.5x,4.5y)$ d. $(\frac{6}{5}x,\frac{6}{5}y)$ e. $(-2x,-2y)$ f. $(4x,2y)$ g. $(2x,2y)$
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find the coordinate of point c on $overline{ab}$ such that the ratio of…
C. $(-1,-2)$
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directions - dilate △abc by a scale factor of 4, centered at the origin…
The vertices of the dilated triangle $\triangle A'B'C'$ are $A'(4,4)$, $B'(8,4)$, $C'(8,8)$.
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use the calculator to find the area and perimeter of the lawn. make sur…
(a) Area: 299 ft², Perimeter: 72 ft (b) Area (c) Perimeter
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question graph the piece - wise function given below. f(x)=\begin{cases…
Graph \(y = |x|\) with an open - circle at \((2,2)\) for \(x<2\) and graph \(y=-4\) with an open - circle at \((5,-4)\) for \(x > 5\).
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1. what are the coordinates of the vertices of the triangle under the t…
A. $(3,1),(3,4),(6,1)$
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the figure below shows a rectangular field. (a) use the calculator to f…
(a) Area: 2106 yd², Perimeter: 210 yd (b) Perimeter (c) Area
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the coordinate of point x on $overline{pq}$ such that px to xq is 5:1 is
$5$
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1. what are the coordinates of the vertices of the triangle under the t…
No correct option among the given ones.
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(1) find two points on the line. to move from point to point: (2) use t…
The slope $m = - 2$ and the slope is negative.
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three pins are inserted into a cork mat at points c, e and d. the three…
$13.7$
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directions: circle the correct conjugation for ser for each sentence. t…
1. es; She is a driver. 2. somos; We (feminine) are teachers. 3. son; They (masculine) are boys. 4. es; You (formal) are a woman. 5. eres; You (informal) are a girl. 6. es; He is …
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which is not a point in plane p? o a) a o b) b o c) e o d) g
D. G
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(a) use the calculator to find the perimeter and area of the window. ma…
(a) Perimeter: 152 in Area: 819 in² (b) Area (c) Perimeter
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find the area of the polygon. 41 square units 44 square units 52 square…
A. 41 square units
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completing statements in exercises 10-14, use the property to complete …
\(m\angle B=m\angle A\)
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what is the length of the missing leg? if necessary, round to the neare…
$2.3$
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find the measure of angle a. 5)
$54^{\circ}$
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find the coordinates of the other endpoint of the segment, given its mi…
$(27,-24)$
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what is this? line line segment ray
line
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which angles are vertical to each other?
∠2 and ∠4
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find the distance between the points (6, 4) and (2, 3). write your answ…
$\sqrt{17}$
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which angles are congruent to each other? ∠1 and ∠2 ∠6 and ∠2 ∠6 and ∠3…
$\angle6$ and $\angle2$
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1) rotation 90° clockwise about the origin
Use the rule $(x,y)\to(y, - x)$ for each vertex of $\triangle{JKI}$ to find the new vertices of the rotated triangle and then plot them.
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find the surface area of this triangular prism. be sure to include the …
$2292$ $cm^{2}$
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estimate the measure of this angle within 10°.
$40^{\circ}$
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estimate the measure of this angle within 15°.
$90^{\circ}$
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find the value of c. pythagorean theorem: a² + b² = c² 7 m 3 m c = √?
$\sqrt{58}$
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which angle is vertical to ∠2?
∠4
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graph the compound inequality on the number line. x≥2 or x≤ - 2
On the number - line, mark a closed - circle at x = 2 and shade to the right of it, and mark a closed - circle at x=-2 and shade to the left of it.
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is this angle acute, right, obtuse, or straight? acute right obtuse str…
acute
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find the y - intercept and the x - intercept of the line below. click o…
(a) None (b) -1
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the following figure is a rectangle made up of two smaller rectangles. …
(a) The light rectangle (on the left): 15 The dark rectangle (on the right): $5x$ (b) As a sum of two areas: $15 + 5x$ As a product of the length and width: $5(3 + x)$
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in the figure below, m∠4 = 38°. find m∠1, m∠2, and m∠3.
$m\angle1 = 38^{\circ}$ $m\angle2 = 142^{\circ}$ $m\angle3 = 142^{\circ}$
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solve for $x$. round to the nearest tenth, if necessary.
$62.6$
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write the coordinates of the vertices after a reflection over the line …
The coordinates of the vertices after reflection over the line \(y = 2\) are \(T'(-6,3)\), \(U'(-4,2)\), \(V'(-6,0)\), \(W'(-8,2)\)
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write the coordinates of the vertices after a reflection over the line …
C'$(0,-2)$, D'$(0,-6)$, E'$(-10,-2)$
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write the coordinates of the vertices after a reflection over the line …
The coordinates of the vertices after reflection over the line \(x=-1\) are \(E'(-2,-2)\), \(B'(-3,-3)\), \(C'(-10,-2)\) (assuming original vertices were \(E(0, - 2)\), \(B(1,-3)\…
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graph the solution to the inequality on the number line. |u + 3| ≤ 5
Graph a closed - circle at \(-8\), a closed - circle at 2, and shade the region between \(-8\) and 2 on the number line.
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figure q is the result of a transformation on figure p. which transform…
A reflection over the $y$-axis
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determine the range of the following graph: answer attempt 2 out of 2
\(-2<y\leq2\)
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soni inscribed a hexagon in a circle. at exactly how many points do the…
D. 6
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finding area by counting square units mastery check find the area of th…
A. 42 square units
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graph the compound inequality on the number line. x > - 6 and x ≤ 6
On the number line, place an open - circle at $x=-6$, a closed - circle at $x = 6$, and shade the region between them.
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use the number line to find the coordinate of the midpoint of $overline…
$2$
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solve the inequality and graph the solution. 1 ≥ (m - 1)/7 plot the end…
The solution of the inequality is $m\leq8$. On the number - line, we plot a closed circle at $m = 8$ and draw a ray to the left.
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solve the right triangle. b = □°□ (round to the nearest integer as need…
B = 33°26' a = 802 m b = 530 m
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find the distance between the points (10, 0) and (2, 6). write your ans…
10
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a parking lot has a length of 32 meters and a width of 24 meters. arian…
Length: 4 inches Width: 3 inches
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5 find the volume of the rectangular prism:
40
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using the graph, determine the coordinates of the x - intercepts of the…
(-6,0), (-4,0)
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using the graph, determine the coordinates of the y - intercept of the …
(0, 3)