幾何
三角形、円、座標幾何、証明問題。
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triangle abc is reflected over the line y = x to produce triangle abc. …
None of the given options are correct. The correct coordinates of $A'$ after reflecting point $A(2,1)$ over the line $y = x$ should be $(1,2)$.
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angle addition and subtraction score: 0/2 penalty: none question solve …
$170$
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state what additional information is required in order to know that the…
A. $\angle R\cong\angle Z$
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a movie theater has a 27 - foot - high screen located 7 feet above your…
When x = 5 feet, $\theta\approx0.479$ radians; when x = 10 feet, $\theta\approx0.676$ radians; when x = 15 feet, $\theta\approx0.707$ radians; when x = 20 feet, $\theta\approx0.70…
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you are shown ∠vwx below whose measure is 92°. draw your best estimate …
Draw a ray from $W$ such that the angle it makes with one of the sides of $\angle VWX$ is between $41^{\circ}$ and $51^{\circ}$.
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a movie theater has a 27 - foot - high screen located 7 feet above your…
$0.478$
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consider the lines and angles shown in the diagram. which statement is …
B. $m\angle1 = m\angle2$
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△abc is an equilateral triangle. what are the approximate coordinates o…
D. $(4,4.5)$
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the following points and lines exist in a plane. . $overleftrightarrow{…
C. $\overleftrightarrow{AB}\perp\overleftrightarrow{PQ}$
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drag the yellow dot until $overleftrightarrow{ac}$ and $overleftrightar…
The measurements of $\angle ABG$ and $\angle FEH$ should be equal.
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if lines m and n are parallel in the illustration below. which of the f…
C. $m\angle T = 95^{\circ}$
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in the diagram, ∠4 and ∠5 are what type of angles? a. corresponding ang…
B. alternate interior angles
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what type of quadrilateral has the vertices a(3, 6), b(3, 3), c(6, 3), …
A. square
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which term best completes this definition? are formed by two end points…
B. Segments
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perpendicular lines are two distinct coplanar lines that intersect to f…
D. right angle
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graph the compound inequality on the number line. x<4 or x≥7
The number line has an open - circle at 4 with shading to the left of 4 and a closed - circle at 7 with shading to the right of 7.
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given m||n, find the value of x.
$118$
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unit 5 triangle congruence > lesson 5 the asa congruence theorem back t…
\(\angle A\cong\angle D\)
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gonzales, julius lhs geo u3 fa #3 parallel lines & x 2x - 3 y x = y =
\(x = 3\) \(y = 177\)
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given m||n, find the value of x. answer attempt 2 out of 2 x = 10
\(x = 34\)
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in parallelogram abcd, diagonal $overline{ac}$ is drawn, and $angle bca…
\(\overline{AC}\cong\overline{AC}\) by the Reflexive Property of Congruence
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solve for x. 23x - 5 15x - 5
$x = 0$
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gonzales, julius lhs geo u3 fa #3 parallel lines & a solve for x. x + 1…
\(x=-4\)
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he location of dallas as an ordered pair (x, y).
$(x,y)=(2, - 4)$
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unit 5 triangle congruence > lesson 5 the asa congruence theorem back t…
Ray $AA'$ indicates a translation.
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solve for x. 22x + 3 23x - 3
$x = 6$
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solve for x. 11x + 12 5x + 8 x =
$x =-\frac{2}{3}$
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to prove △abc≅△abc, which of the following shows how the asa criterion …
Rotate $\triangle ABC$ - 90 degrees (clockwise) about vertex C, and then reflect $\triangle A'B'C'$ across $\overline{CA'}$
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7 curtis wants to build a model of a 180 - meter tall building. he will…
$77.1$ centimeters ### 8
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which angle number represents an angle adjacent to ∠jrm?
$\angle 3$
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determine if the triangles are similar. if so, state the postulate or t…
The triangles are not similar.
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(c) problem 17: (first taught in lesson 31) find x and y.
$x = 14$, $y = 35$
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determine if the two figures are congruent and explain your answer usin…
The two figures are congruent because we can map one figure onto the other using a sequence of rigid motions (a rotation and a translation).
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5. consider the statement and graph shown. the figure abcde is the imag…
270° clockwise rotation about the origin
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△acb ~ △qrs. complete each statement. a. ∠a ≅ ? b. ∠r ≅ ? c. $\frac{ab}…
a. $\angle Q$ b. $\angle B$ c. $AC$ d. $RQ$
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problem 16: (first taught in lesson 31) find x. after you enter your an…
$38$
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point r is the mid - point of (overline{qs}), and (overline{qr}) is 19 …
38
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8. the graph shows line l and line m intersect to form a 45° angle at e…
Rotate quadrilateral \(ABCD\) \(90^{\circ}\) about point \(E\)
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1 mrs. loan bought a pair of jeans that normally cost $40 for a sale pr…
a. 40% ### 2.
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determine if the triangles are similar. if so, state the postulate or t…
The triangles are similar by the AA Similarity Theorem. The similarity statement is $\triangle ABC\sim\triangle DEC$.
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select which shortcut can be used to prove this pair of triangles congr…
ASA (Angle - Side - Angle)
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9. a rectangle has vertices at (2, 5), (6, 5), (6, 3), and (2, 3). whic…
The given 90 - degree rotation about the point \((4,4)\) will not result in the figure mapping onto itself.
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if an angle is bisected to form two new 21.1° angles, what was the meas…
$42.2$
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an angle is bisected, forming two new angles. each new angle has a meas…
$156$
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11. wxyz is a trapezoid with vertices w(-1,2), x(3,2), y(5,-1), and z(-…
The line of symmetry is $x = 1$ because it connects the midpoints of $\overline{WX}$ and $\overline{ZY}$.
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(b) problem 13: (first taught in lesson 23) from this given statement, …
The definition of a linear - pair of angles and the fact that congruent angles in a linear pair are right angles justify the prove statement.
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look at this angle: does y lie in the interior or in the exterior of ∠v…
exterior
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problem 12: (first taught in lesson 26) from this given statement, sele…
The Alternate - Interior Angles Converse Theorem
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solve for m∠xvw. answer attempt 2 out of 2 m∠xvw =
$40$
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(a) problem 11: (first taught in lesson 38) from this given statement, …
Corresponding parts of congruent triangles are congruent (CPCTC)
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13. a regular hexagon undergoes a counterclockwise rotation around its …
$60$
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find the measures of the angles of a triangle with angles measuring 110…
The third - angle measure is 25 degrees. It is an obtuse - angled triangle.
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look at this angle: name this angle in three different ways:
$\angle X$ and $\angle VXW$ and $\angle WXV$
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problem 10: find the measures of the angles of a triangle with angles m…
The third - angle measure is 25 degrees. It is an obtuse - angled triangle.
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16. in △abc, (overline{bd}) is the perpendicular bisector of (overline{…
I. $\overline{BD}$ is a median; III. $\triangle ABC$ is isosceles.
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problem 9: find the measures of the angles of a triangle whose angles h…
The angle - measures are \(x = 25^{\circ}\), \(3x=75^{\circ}\), \(3x + 5=80^{\circ}\), and it is an acute - angled triangle.
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problem 8: (first taught in lesson 30) complete this sentence by select…
A. always
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triangle congruence image long description are the triangles congruent?…
No, the triangles are not necessarily congruent
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problem 7: (first taught in lesson 17) complete this sentence by select…
B. sometimes
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question solve for m∠ljk. answer attempt 1 out of 2 m∠ljk = ° submit an…
\(32\)
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problem 6: complete this sentence with the best of the choices given. a…
E. equilateral
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19. based only on the information given, can you determine that the qua…
Yes, the quadrilateral must be a parallelogram because the diagonals $\overline{XZ}$ and $\overline{YW}$ bisect each other (since $\overline{XN}\cong\overline{NZ}$ and $\overline{…
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if you wanted to explain why △abd≅cbd by the sas congruence theorem, wh…
BD is the angle bisector of ∠ABC.
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let x represent one quantity. state what that quantity represents. expr…
width of the rectangle
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complete this sentence with the best of the choices given. according to…
AAS (Angle - Angle - Side)
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jacquelyn is creating two - design rectangles for her friends jewelry b…
A. The area of the first design is $2x^{2}+5x$. B. The area of the second design is $3x^{2}+12x$. C. The collective area of both designs is $5x^{2}+17x$.
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what does the sas congruence theorem say? (1 point) if two triangles ha…
If two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent.
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problem 3. (lesson 38) complete this sentence with the best of the choi…
If two triangles are congruent, then their vertices can be paired in a correspondence so that all pairs of **corresponding sides** are congruent and all pairs of **corresponding a…
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question solve for m∠vwy.
$30^{\circ}$
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complete this sentence with the best of the choices given. if two trian…
sides; angles
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question solve for m∠wuv. answer attempt 1 out of 2 m∠wuv = ° submit an…
\(22\)
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across 3. a pair of congruent angles on opposite sides of the transvers…
3. Alternate exterior angles 5. Supplementary 6. Transversal 8. Same - side interior angles 10. Corresponding angles 11. Vertical angles 12. Complementary 1. Same - side exterior …
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solve for m∠abd. answer attempt 1 out of 2 m∠abd = °
$60$
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problem 22 given: $overline{mt}congoverline{lt}$, $overline{ot}$ is a b…
We need to complete the proof. The correct reason for step 7 should be: "If a linear - pair of angles are congruent, then they are right angles."
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real numbers day 4 **show all work for credit** monday september 29 all…
Dan
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solve for m∠hik. answer attempt 2 out of 2 ∠hik =
$114$
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△abc ~ △def. find the values of x and y.
$x = 36$, $y = 24$
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question the length of one leg of a right triangle is 3 feet more than …
9, 12
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monday september 29 all year: al runs 8 miles per hour. bob runs 1 mile…
1. Al and Carl run at the fastest rate. 2. D. 3. None of the given options is correct for the similar - triangles proportion to find an unknown side length (the correct proportion…
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question a reflecting pool is shaped like a right triangle, with one le…
8 feet, 15 feet, 17 feet
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first up, lets review the assignments learning objectives get familiar …
6 inches, 8 inches
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given: $overline{mt}congoverline{lt}$, $overline{ot}$ is a bisector of …
1. **Step - 1: Prove \(\triangle MOT\cong\triangle LOT\)** - Since \(\overline{MT}\cong\overline{LT}\) (given), \(\angle MTO=\angle LTO\) (because \(\overline{OT}\) is the bisecto…
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given: $overline{mt}congoverline{lt}$, $overline{ot}$ is a bisector of …
2. $\angle MTO\cong\angle LTO$ 3. Reflexive property of congruence 4. Side - Angle - Side (SAS) congruence criterion
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sort the numbers into the venn diagram. 4 8 12 16 18 24 36 multiples of…
Multiples of 4 circle: 4, 8, 16 Intersection: 12, 24, 36 Multiples of 6 circle: 18
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problem 23 given: $overline{be}paralleloverline{cd}$, $overline{be}cong…
5. If two lines are cut by a transversal and the alternate - interior angles are congruent, then the lines are parallel.
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given: $overline{be}paralleloverline{cd}$, $overline{be}congoverline{cd…
2. $\angle AEB\cong\angle DEC$ (Corresponding - angles from $\overline{BE}\parallel\overline{CD}$) 3. Side - Angle - Side (SAS) Congruence Postulate (Since $\overline{BE}\cong\ove…
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sort the numbers into the venn diagram. 6 18 24 31 36 40 54 multiples o…
Multiples of 6 circle (excluding intersection): 6, 24 Intersection of Multiples of 6 and Multiples of 9: 18, 36, 54 Not placed in Venn - diagram: 31, 40
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if $pqcong qr$ with $pq = 3x - 8$, $qr = 2x$, and $rs=1.5x + 4$ then fi…
B. 48
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sort the numbers into the venn diagram. 4 7 10 14 18 19 20 multiples of…
In the "Multiples of 2" circle only: 4, 14, 18. In the intersection of "Multiples of 2" and "Multiples of 5": 10, 20. Outside both circles: 7, 19.
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solve for x 32° (5x + 3)° a 29 b 11 c 12 d 5.8
B. 11
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sort the numbers into the venn diagram. 10 12 16 18 19 24 28 multiples …
Multiples of 3 circle: 12, 18 Multiples of 8 circle: 16 Intersection: 24 Outside the circles: 10, 19, 28
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16. what is the area of the given figure?
None of the provided options are correct. If we assume the figure is a square or a rhombus and calculate its area using the appropriate formulas (either \(A = s^{2}\) or \(A=\frac…
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14. what is the perimeter of the given composite figure? (round your an…
26.5
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5. trapezoid t and its image t are shown. describe a sequence of transf…
Rotate trapezoid $T$ 180 degrees counter - clockwise (or clockwise, since 180 - degree rotation is the same in either direction) about point $D$.
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solve for x. round to the nearest tenth of a degree, if necessary.
$30^{\circ}$
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4. lines x and y are parallel. write an equation that represents the re…
Rotate isosceles trapezoid \(T\) \(90^{\circ}\) counter - clockwise about point \(D\).
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homework a.2.3 score: 16/17 answered: 16/17 question 17 find the area o…
$9\frac{1}{6}$
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are the triangles congruent? if so, write a congruence statement and re…
Yes, $\triangle ABC\cong\triangle MLN$ by the SSS Congruence Theorem
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what additional piece of information would you need to be able to state…
\(\overline{KL}\cong\overline{MN}\) (the option that says \(\overline{KL}\cong\overline{MN}\))
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solve for x. round to the nearest tenth, if necessary.
$205.6$