几何
三角形、圆、解析几何与证明题。
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question 10 of 10 what is the length of leg s of the triangle below? a.…
D. 3
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annas bedroom has an area of 72 square feet. the bedroom is 8 times as …
The area of the closet is 9 square ft. The length of the closet is 3 feet.
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vi given: ∠1 and ∠2 are supplementary prove: ∠3 and ∠4 are supplementar…
1. $\angle1$ and $\angle2$ are supplementary 2. $m\angle1 + m\angle2 = 180^{\circ}$ 3. $\angle1\cong\angle3,\angle2\cong\angle4$ 4. $m\angle1 = m\angle3,m\angle2 = m\angle4$ 5. $m…
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which is a true statement about an isosceles right triangle? a. the hyp…
B. The hypotenuse is $\sqrt{2}$ times as long as either leg.
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what is the length of side s of the square shown below? a. $sqrt{8}$ b.…
E. $4\sqrt{2}$
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given m||n, find the value of x.
34
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what are the measures of the angles in an isosceles right triangle? a. …
A. 45°, 45°, and 90°
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given m || n, find the value of x and y. answer attempt 1 out of 2 x = …
\(x = 53\), \(y = 53\)
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question 6 of 10 what is the length of leg s of the triangle below? a. …
D. 4
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given m||n, find the value of x. (6x + 10)° (7x + 9)°
\(x = 1\)
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circle the vague pronoun. then rewrite the sentence so that its meaning…
Vague pronoun: they Rewritten sentence: The family invited their neighbors to dinner but the neighbors didn't show up.
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quiz chapter 2 show all work and circle your answers. 1. solve the foll…
1. $t = 4$ 2. $x = 5$
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given m || n, find the value of x. x° 98°
\(x = 82^{\circ}\)
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a homeowner has an octagonal gazebo inside a circular area. each vertex…
$1.50(\pi x^{2}-2\sqrt{2}x^{2})$
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8. what ratios does the graph show? select all that apply.
The graph does not show the ratio 4:6.
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given m||n, find the value of x.
34
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8. what is the side length of a square with an area of 3 square units? …
- Side - length of square with area 3 square units: $\sqrt{3}$ units - Areas of perfect squares: | Side length | Area | |----|----| | 1 | 1 square unit | | 2 | 4 square units | | …
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given m||n, find the value of x. answer attempt 1 out of 2 x =
$34$
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what is the length of the hypotenuse of the triangle below? a. 9\\sqrt{…
D. 18
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solve for x in the triangle. round your answer to the nearest tenth.
$18.2$
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answer attempt 1 out of 2 given m||n, find the value of x. this is the …
$104$
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what is the length of the hypotenuse of the triangle below? a. 5√2 b. 1…
C. 10
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given m || n, find the value of x and y.
$x = 140$, $y = 140$
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question 3 of 10 what is the length of each leg of the triangle below? …
B. $13\sqrt{2}$
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solve the inequality and graph the solution. -8x + 4 ≥ 4(6 - x). choose…
The solution is \(x\leq - 5\). The correct graph is the one with a closed - circle at \(-5\) and the arrow pointing to the left.
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state whether the slope of the line is positive, negative, 0, or is und…
B. negative
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a 12 - foot ladder is leaning against a building. the ladder makes a 45…
C. $6\sqrt{2}$ feet
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a triangle with two congruent sides is always a 45-45-90 triangle. a. t…
B. False
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solve the inequality and graph the solution. -6x + 2 ≥ 4(6 - x) choose …
We cannot see the full labels of the graphs clearly, but the correct graph should have a closed - circle at $x=-11$ and an arrow pointing to the left. If we assume the graphs are …
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spaced practice 1. give the coordinates of △abc after a transformation …
a. \(A'(2,-1)\), \(B'(3,\frac{5}{3})\), \(C'(\frac{5}{3},2)\) b. \(A'(24,-12)\), \(B'(36,20)\), \(C'(20,24)\) c. \(A'(-6,3)\), \(B'(-9,-5)\), \(C'(-5,-6)\) d. \(A'(6,3)\), \(B'(9,…
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question 10 of 10 based only on the information given in the diagram, i…
B. False
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solve the inequality and graph the solution. 6x - 7x ≥ 4x + 3. choose t…
The solution is \(x\leq-\frac{3}{5}\). Looking at the graphs, if the graph has a closed circle at \(-\frac{3}{5}\) and an arrow pointing to the left, that is the correct graph. Wi…
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triangle xyz is the image after a dilation of △abc. 1. determine the sc…
# Explanation: ## Step1: Recall the formula for scale - factor The scale factor $k$ for a dilation from a point $(x_1,y_1)$ to $(x_2,y_2)$ with center of dilation $(a,b)$ is given…
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question 8 of 10 what is the value of x in the figure below? in this di…
D. $\frac{16}{3}$
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question 7 of 10 what is the length of cd? in this diagram, △abc ~ △edc.
A. 5
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4 circle the correct pronoun for the sentence. identify if it is subjec…
me, objective
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charles places a mirror on the ground 63 feet from the base of a tree. …
C. 42 feet
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iii. mapping similar figures using dilations topic practice each figure…
2. Scale factor: $\frac{1}{4}$, Rule: $(x,y)\to(\frac{1}{4}x,\frac{1}{4}y)$ 4. Scale factor: $4$, Rule: $(x,y)\to(4x,4y)$ 6. Scale factor: $\frac{7}{2}$, Rule: $(x,y)\to(\frac{7}{…
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△abc is the image of △abc under a rotation about the origin (0,0). dete…
90° clockwise
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in right triangle $delta jkl$, $mangle k = 44^{circ}$. in right triangl…
D. AA
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4. q(2, - 3), r(5, - 3), s(5, - 5), t(2, - 5) q(8, - 12), r(20, - 12), …
Translations, rotations, and reflections preserve congruence.
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find the measure of the missing angles. answer attempt 1 out of 2 x = y…
$x = 62$ $y = 28$
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question 3 of 10 based only on the information given in the diagram, it…
A. True
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a. each figure is dilated using the origin as the center of dilation to…
1. Scale factor: $\frac{1}{3}$, Rule: $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$ 2. Scale factor: $\frac{1}{4}$, Rule: $(x,y)\to(\frac{1}{4}x,\frac{1}{4}y)$ 3. Scale factor: $4$, Rule:…
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question 2 of 10 what is the value of m in the figure below? in this di…
D. $\sqrt{95}$
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find the measure of the missing angles. answer attempt 1 out of 2 d = e…
$d = 90^{\circ}$, $e = 134^{\circ}$, $f = 46^{\circ}$
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2. a(14, 2), b(18, 6), c(22,2) a(3.5, 0.5), b(4.5, 1.5), c(5.5, 0.5) 4.…
Translations, rotations, and reflections.
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 122^{\circ}$, $e = 74^{\circ}$, $f = 24^{\circ}$
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9. which transformation(s) do not preserve congruence?
Translations, rotations, and reflections preserve congruence.
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question 10 of 10 what is the distance from point n to lm→ in the figur…
B. 6.8
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 90^{\circ}$, $e = 19^{\circ}$, $f = 71^{\circ}$
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27. mathematical connections tao rides his bike in a straight line from…
\((5,5)\)
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question 9 of 10 what is the measure of ∠spq in the figure below? a. 14…
C. $56^{\circ}$
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if a point is equidistant from the endpoints of a segment, then it is: …
A. on the perpendicular bisector of the segment.
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question 7 of 10 based only on the given information, it is guaranteed …
A. True
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put these parallel parking steps in order. straighten the wheel and bac…
1. Align your vehicle with the vehicle you'll park behind 2. Check traffic and reverse into the spot at an angle 3. Straighten the wheel and back up straight 4. Stop when your veh…
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 29^{\circ}$, $e = 41^{\circ}$, $f = 112^{\circ}$
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26. analyze and persevere are the steepest parts of the two water slide…
The two water - slides are not parallel because their slopes are different. For Teo and Luke, the coordinates of the meeting point are $(9,2)$.
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what is the measure of ∠rcd in the figure below? a. 35° b. 55° c. 11° d…
A. $35^{\circ}$
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question 9 of 10 based only on the given information, it is guaranteed …
A. True
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2) circle the misspelled word and write it correctly in the space below…
The misspelled word is "excede", the correct spelling is exceed.
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is the following conditional true? if a triangle has at least two angle…
no
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based only on the given information, it is guaranteed that $overline{ab…
B. False
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iii. mapping similar figures using dilations topic practice a. each fig…
1. Scale factor: \(\frac{1}{3}\), Rule: \((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\) 2. Scale factor: \(\frac{1}{4}\), Rule: \((x,y)\to(\frac{1}{4}x,\frac{1}{4}y)\) 3. Scale factor: \(…
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7. in △abc, the points j, l, and w are mid - points. ab = 22 cm, bc = 1…
a. \(6.5\ cm\) b. \(7\ cm\) c. \(24.5\ cm\)
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is the following conditional true? if a quadrilateral has four right an…
no
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which group of four ratios describes the pattern blocks? 10. which of t…
None of the given options are correct as the correct ratios comparing hexagons and triangles are 5:2 and 2:5.
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what is the distance from point y to (overline{wx}) in the figure below…
C. 16
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find the measure of the missing angles.
$d = 67^{\circ}$, $e = 21^{\circ}$, $f = 92^{\circ}$
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which group of four ratios describes the pattern blocks? 10. which of t…
2:5, 5:2
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1. triangle xyz has been enlarged with p as the center of dilation to f…
2. The scale factor is 5. 3. $A'(-2,-1)$, $B'(-1,0)$, $C'(11,0)$, $D'(4,-7)$ 4. $J'(-8,1)$, $K'(-2,0)$, $L'(-14,0)$
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9. which of the following ratios compares the number of circles to the …
3:14
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8. which of the following ratios compares the number of squares to the …
6:3
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if a point is on the bisector of an angle, then it is: a. on one side o…
B. equidistant from the two sides of the angle.
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5. triangle def is the image that resulted from a dilation of △abc usin…
$\frac{1}{3}$
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find the measure of the missing angles.
\(h = 127^{\circ}\), \(g = 53^{\circ}\), \(m = 98^{\circ}\), \(k = 82^{\circ}\)
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find the distance between the points (-2, -1) and (-1, -6). write your …
$\sqrt{26}$
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find the distance between the points (0, 5) and (5, 10). write your ans…
$5\sqrt{2}$ units
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dilate △abc on the coordinate plane using the origin (0, 0) as the cent…
1. First, identify the coordinates of the vertices of \(\triangle ABC\): - Assume the coordinates of point \(A\) are \((x_A,y_A)\), point \(B\) are \((x_B,y_B)\), and point \(C\) …
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5. solve for x. 6. solve for x.
For problem 5: $x = 10$ For problem 6: $x = 8$
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find the measure of the missing angle.
\(36^{\circ}\)
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4. dilate △abc to form △def using the origin (0, 0) as the center of di…
The coordinates of the vertices of △DEF are \(D(4,4)\), \(E(4,20)\), \(F(12,4)\)
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find the measure of the missing angle. 100° a
\(80^{\circ}\)
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triangle mno is dilated by a scale factor of 2.5 to form △mno. perimete…
Perimeter of \(\triangle M'N'O'=56.25\) m Area of \(\triangle M'N'O'=61.25\) m²
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find the measure of the missing angle. answer attempt 2 out of 2 a = 112
\(a = 112^{\circ}\)
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1. dilate △abc on the coordinate plane using the origin (0, 0) as the c…
The vertices of the dilated $\triangle A'B'C'$ are $A'(4,2)$, $B'(8,8)$ and $C'(8,4)$
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1. de is a midsegment of △abc. find the value of x. 2. find pq. 3. find…
1. $x = 6$ 2. $PQ = 8$ 3. $WU = 18$ 4. $\overline{NP}\parallel\overline{RQ}$
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question name the plane that is highlighted in the diagram below. answe…
Plane UWR
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name the plane that is highlighted in the diagram below. answer attempt…
Plane UWR
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3. calculate the circumference and area of a circle with the given meas…
a. Circumference: 18.84 cm, Area: 28.26 cm² b. Circumference: 12.56 ft, Area: 12.56 ft²
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determine an algebraic expression for the perimeter of the following tr…
A. $2x + 6$
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name the plane that is highlighted in the diagram below. answer attempt…
Plane RSP
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find the x - and y - coordinates of the point d. the coordinates of d a…
$(0, - 4)$
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3. calculate the circumference and area of a circle. use 3.14 for π. a.…
Circumference: $18.84$ cm, Area: $28.26$ $cm^{2}$
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find the measure of the missing angle. 112° a answer attempt 1 out of 2…
$a = 112^{\circ}$
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find the measure of the missing angle.
\(147^{\circ}\)
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find the volume of the prism. round your answer to the nearest tenth, i…
$97.5$
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find the measure of the missing angle.
\(23^{\circ}\)
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find the measure of the missing angle. 123° a answer a =
\(a = 57^{\circ}\)
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which angle number represents an angle adjacent to ∠jrm?
∠2