幾何
三角形、円、座標幾何、証明問題。
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grade 5 / mission 1 / lesson 7 exit ticket use the table to round the n…
a. 8.55 b. 10
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find the length of the segment indicated. round to the nearest tenth if…
D. 16
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bonus: the given lines form 3 sides of a rectangle. state a line that w…
A line with the equation of the form \(x + 3y = c\) (where \(c eq4\)) would complete the rectangle.
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type the correct answer in the box. the figure shows five polygons: abc…
$KLMNO$
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4. solve and graph: 52 < 4 + 6a ≤ 64 5. solve and graph: 5 - 10a ≤ 45 o…
The solution of the inequality $5a - 10\leq - 45$ and $-1 - a\geq - 4$ is $a\leq - 7$. On the number - line, mark a closed circle at - 7 and shade to the left.
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part b alex knows that his cone has a volume, v, of 150 cubic inches an…
A. Alex made an error from Step 1 to Step 2.
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the formula $a = pi r(r + l)$ can be used to find the surface area, $a$…
C. $L = \frac{A}{\pi r}-r$
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find the perimeter of the quadrilateral. round to the nearest tenth if …
None of the provided options (a. 71, b. 80.3, c. 40.5, d. 59.6) are correct. The perimeter is 29.8.
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find the perimeter of the triangle. round to the nearest tenth if neces…
B. 23.2
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determine the contrapositive statement for the following conditional st…
If two triangles are not similar, then they are not congruent
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s is the midpoint to rt. what style of proof is this? definition of mid…
Flowchart proof
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in this activity you will: apply properties of tangents. determine if a…
b. Not tangent
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12. f is in the interior of ∠apb and m∠apb=(5x + 11)°, m∠apf=(6x - 6)° …
a. (Diagram description): Draw a point $P$ with three rays $PA$, $PF$, and $PB$ such that $\angle APB=(5x + 11)^{\circ}$, $\angle APF=(6x - 6)^{\circ}$, and $\angle FPB=(9x - 23)^…
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value: 2 determine if line ab is tangent to the circle. 12 20 14 a. tan…
b. Not tangent
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step 2 evaluate the given expressions when x = 27. m∠qpr=(4x + 13)°=(4•…
\(m\angle QPR = 121^{\circ}\), \(m\angle RPS=36^{\circ}\)
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value: 2 determine if line ab is tangent to the circle. 12 20 14 a. tan…
b. Not tangent
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kuta software - infinite geometry parallel lines and transversals ident…
1. Corresponding 2. Alternate exterior 3. Corresponding 4. Alternate exterior 5. Alternate interior 6. Consecutive interior 7. Corresponding 8. Alternate exterior
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using the equations from problem 1 and 2, determine if the lines are pa…
parallel
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to prove the triangles are congruent, which of the following rigid moti…
C. translation along the vector, mapping point J to point P, then rotation -90° (clockwise) about point J
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value: 1 true or false? a radius meets a tangent line at a 90° angle. t…
True
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3. solve and graph: -5a - 4 > 36 or 3 - 7a ≤ 24
The solution of the compound inequality is \(a < - 8\) or \(a\geq - 3\). On the number - line, we have an open circle at \(a=-8\) with shading to the left and a closed circle at \…
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which of these conditions might be true if polygons abcd and klmn are s…
A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.
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solve and graph the following inequality: 10 + 8x ≥ 2 + 3x
Inequality: \(x\geq - 1.6\) To graph: On a number - line, draw a closed circle at \(x = - 1.6\) (because the inequality is \(\geq\)) and shade to the right of \(x=-1.6\).
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use the image to answer the question. to prove the triangles are congru…
translation along the vector so that point B maps to point Q
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part #4: write the equation of the line graphed below in slope - interc…
Write the equation of the line: $y=\frac{1}{2}x - 1$ What is the x - intercept? $2$ What is the y - intercept? $-1$
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△wx and △nop are similar. if mv = 44° and mp = 66°, what is mw? a. 22° …
B. \(33^{\circ}\)
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congruency of triangles quick check what term precisely describes trian…
congruent
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example finding angle measures given that $m\\angle qps = 157^{\\circ}$…
$m\angle QPR = 121^{\circ}$, $m\angle RPS = 36^{\circ}$
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find the length of the segment indicated. round to the nearest tenth if…
d. 5.7
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given △trs≅△vxw, which of the following corresponding pairs is correct?…
$\overline{ST} \cong \overline{WV}$
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statements: tu || xw, ∠utv ≅ ∠xwv, ∠tvu ≅ ∠wvx, △tvu ~ △wvx, ? , 14/xw …
Cross - product of corresponding sides of similar triangles.
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two angles are when they have the same measure. if ∠a and ∠b are congru…
The blank should be filled with "congruent".
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what is the total number of lines of symmetry for this figure? a. 0 b. …
D. 4
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select all the correct figures. which numbers have line symmetry?
8, 3
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select the correct answer from each drop - down menu. △abc has side len…
The perimeter of $\triangle XYZ$ is 135 units, and the area of $\triangle XYZ$ is 600 square units.
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congruency of triangles practice complete this assessment to review wha…
Conclusion #3 is correct.
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example measuring and classifying angles find the measure of each angle…
a. Measure of ∠JHL: 40°, Classification: Acute angle b. Measure of ∠GHJ: 140°, Classification: Obtuse angle c. Measure of ∠MHL: 60°, Classification: Acute angle
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find x. 3x° 120° a. 40 b. 20 c. -10 d. 90
B. 20
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quadrilateral 1 and quadrilateral 2 are polygons that can be mapped ont…
The transformation that maps quadrilateral 1 onto quadrilateral 2 is a 180° rotation about the origin, followed by a translation, and then a dilation with a scale factor of \(\fra…
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what is the coordinate of the midpoint of $overline{pq}$? write your an…
$-2.5$
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angle measures greater than 0° and less than 90° angle measures 90° ang…
Acute, Right, Obtuse, Straight
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point p(-6, -4) is the image of point p(-2, 3) under a translation. wha…
$(1,-8)$
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point (7, - 4) is the image of point p(-2, 3) under a translation. what…
$(14,-8)$
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what is the coordinate of the midpoint of (overline{de})? write your an…
$2$
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congruency of triangles practice complete this assessment to review wha…
Conclusion #2 is correct.
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what is the coordinate of the midpoint of lm? write your answer as an i…
$97$
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what is the coordinate of the midpoint of $overline{lm}$? write your an…
97
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6b. the figure on the left is reflected using the line (ell) to form th…
Label the side of length 2.2, the side of length 3.2, the angle of 63°, the angle of 108°, and the angle of 143° on the right - hand figure to match the corresponding parts of the…
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name three angles shown in the diagram. solution
∠UXV, ∠VXW, ∠UXW
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value: 3 find x. a. 136 b. 18 c. 64 d. 19
C. 64
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10. what is the length, to the nearest tenth, of the line segment joini…
d. 158.1
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what is the coordinate of the midpoint of $overline{rs}$? write your an…
$52.5$
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find the indicated angle measure. a. 52° b. 64° c. 256° d. 38°
A. \(52^{\circ}\)
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for a rotation x° about point p, which of the following is not true? a.…
D. For any polygon, the rotation can be expressed as a single reflection no matter what the value of \(x\) is.
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what is the coordinate of the midpoint of $overline{bc}$? write your an…
61
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given the regular polygon, select all of the rotations and reflections …
A. a rotation of 72° around the center point d C. a reflection across line b, through one vertex, the center d E. a reflection across line c, and the midpoint of the opposite side
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find the indicated angle measure. 40° a. 100° b. 140° c. 80° d. 20°
A. $100^{\circ}$
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solve and graph the following inequality: 3 + 8x ≥ -7
Inequality: $x\geq-\frac{5}{4}$ Graph: A closed circle at $x = - 1.25$ on the number - line and an arrow pointing to the right.
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value: 3 find the indicated angle measure. o a. 51° o b. 78° o c. 204° …
b. $78^{\circ}$
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if a figure is translated 3 units left and 3 units up, which translatio…
A. 3 units right and 3 units down
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what type of symmetry does a rectangle have? a. reflectional but not ro…
C. Both reflectional and rotational symmetry
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find the indicated angle measure. 66° o a. 33° o b. 132° o c. 114° o d.…
C. $114^{\circ}$
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select the correct answer. julia has 2 identical rooms in her house. if…
C. 192 square feet
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from life on the mississippi i still keep in mind a certain wonderful s…
3. His way of seeing the river shifts from mysterious wonder to objective analysis as he becomes a steamboating expert.
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what is the coordinate of the midpoint of $overline{de}$? write your an…
65
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9. determine whether line st and line lm are parallel, perpendicular, o…
9. C. Neither 10. a. 158.1
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a quadrilateral with vertices g(-8,2), e(-5,3), o(3,0), and m(6,0) is r…
(0, -6)
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find the volume of the following figure using the appropriate formula. …
$\frac{27}{64}$ in³
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an ____ is a set of points consisting of two different rays that have t…
An angle is a set of points consisting of two different rays that have the same endpoint, called the vertex. The rays are the sides of the angle. The region that contains all the …
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find the volume of the following figure using the appropriate formula. …
$\frac{88}{21}$ in³ (or approximately $4.19$ in³)
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which explanation for the congruency of the trapezoids is correct? stat…
Statement #4: The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).
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given point a is not on line m, suppose a is reflected across line m. w…
B. Line \(m\) is the perpendicular bisector of \(\overline{AA'}\)
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solve using the appropriate formula. hint: parallelogram: a = b · h fin…
The area of the parallelogram is 32 $cm^{2}$ and the area of the circle is 50.24 $cm^{2}$.
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7. solve for y. a. y = 25 b. y = 5 c. y = 140 d. y = 40
A. \(y = 25\)
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point p(2, 3) is the image of point p(2, 3) under a translation. select…
$(11,-6)$
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select the correct answer. given: fg || kl how could you show fh/lj = i…
Use AA to show triangle FIH is similar to triangle LIJ.
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which transformation or sequence of transformations maps △abc to △abc? …
C. a reflection across \(y = 0\), then a translation 5 units left
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value: 2 find the measure of the angle given. a. 30° b. 120° c. 50° d. …
d. 80°
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pq is reflected across the line x = -1. select all that apply a pq ≅ pq…
A. $\overline{PQ}\cong\overline{P'Q'}$ B. $Q'$ is plotted at $(-4,4)$ E. $P'$ and $P$ are in the same quadrant
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which angle is congruent to ∠ncm? a. ∠nlm b. ∠lmc c. ∠lnc d. ∠mnc
A. ∠NLM
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instructions: answer all questions in full and show your work. return t…
Q1. 90 Q2. 2.34 cm
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point t is at (-2, 5). what are the coordinates of point t after a refl…
(2, - 5)
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the point p (4,2) is rotate to become p(-2,4). describe the rotation by…
90° rotation
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value: 2 find the measure of the given angle. o a. 45° o b. 90° o c. 18…
B. $90^{\circ}$
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consider the statement: if two angles are congruent, then they have the…
If two angles are not congruent, then they don't have the same measure
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the coordinate point q (0,-8) is reflected over the y - axis. identify …
D. (0,-8)
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suppose △rst is translated and then reflected to form △rst. select all …
A. length $R'S' = 4.3$ cm B. $\angle R\cong\angle R'$ C. $m\angle T = 71^{\circ}$ D. $\overline{ST}\cong\overline{S'T'}$
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△fun is reflected over x = -1. what are the coordinates for n after a r…
(1, 0)
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the equation 2(l + w)=100 represents a rectangle with a perimeter of 10…
First box: $L + w = 50$ Second box: $L = 50 - w$
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find the measure of the given angle. 156° 124° a. 23° b. 55° c. 29° d. …
d. $40^{\circ}$
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solve and graph the following inequality: -6x > -6
Inequality: $x < 1$ Graph: On a number - line, draw an open circle at 1 (because 1 is not included in the solution set) and shade the line to the left of 1.
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the background of a rectangular logo is shown in the diagram. what is t…
150 \(cm^{2}\)
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complete the sentence below. a rhombus is ______ a quadrilateral. alway…
A. always
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point n is the midpoint of $overline{gb}$. $gn = 7r - 3$, $bn = 5r + 9$…
78
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a point is translated on the coordinate plane from (5, -3) to (5,7). jo…
D. 10
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a=(-7, 2) b=(-2, 2) c=(-7, -3) d=(-2, -3) jarvis wants to translate rec…
C. (-11, 0)
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graph the compound inequality. x ≥ -5 and x < -4 plot the endpoints. se…
On the number line, mark a closed circle at $-5$ and an open circle at $-4$ and shade the region between them.
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name the vertex and sides of each angle. then classify the angle in fou…
1. Name: ∠BCD or ∠DCB, Classification: Acute 2. Name: ∠1HG or ∠GH1, Classification: Obtuse
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6. given l || m and a || b, determine which pairs of angles are congrue…
B. ∠14 and ∠9
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which of the following is an example of a biconditional statement? if a…
A polygon is a regular polygon if and only if all of its sides are congruent and all of its angles are congruent