Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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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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real numbers day 4 **show all work for credit** monday september 29 all…
Dan
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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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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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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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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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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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△efg ~ △xyz. complete each statement. a. ∠f ≅? b. ∠z ≅? c. $\frac{fg}{y…
a. $\angle Y$ b. $\angle G$ c. $EG$ d. $YZ$
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bella wants to use rigid transformations to show that △ghi≅△lkj to illu…
Translate $\triangle GHI$ along a vector that takes point $G$ to point $L$.
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which sentence uses an apostrophe correctly in a plural possessive noun…
C. The basketball players' lockers will be cleaned out on Friday. E. The United States' national anthem is "The Star - Spangled Banner."
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question 16 find the area of the triangle pictured above. enter your an…
$\frac{81}{2}$
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what does the sss congruence theorem say? (1 point) if two triangles ha…
If two triangles have three pairs of congruent sides, then the triangles are congruent.
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square roots and the pythagorean theorer vectored instruction find the …
50
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the measures of two angles in a triangle are 32° and 116°. which type o…
Isosceles
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square roots and the pythagorean theore vectored instruction find the l…
12
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ts 0 submitting an external tool available until oct 2 at 2:25pm
$49.46$
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which shows the side lengths in order from longest to shortest? a b 45°…
c, a, b
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using a = 20, b = 15 and c = 25, is triangle abc a right triangle?
Yes
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a triangle has angles that measure 65° and 75°. which is the measure of…
40°
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transversals (angle - pair relationships) write the angle relationship …
(1) Alternate exterior angles (2) Alternate interior angles (3) Alternate interior angles (4) Alternate exterior angles (5) Same - side interior angles (6) Same - side exterior an…
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6. find x and m∠y. (6x - 23)° (4x + 9)° x = m∠y =
\(x = 16\) \(m\angle Y = 34^{\circ}\)
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using a = 5, b = 12 and c = 13, is triangle abc a right angle triangle?…
Yes
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a rancher has 100 meters of fencing to enclose part of a field in the s…
$625$; $625$; $25$; $25$
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2. find the missing dimension, given the surface area of the 3 - d obje…
$3$ ft
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4. are the following two figures similar or congruent? similar congruent
similar
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3. are the following two figures similar or congruent? congruent similar
congruent
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2. is it true or false that the green quadrilateral below is a dilation…
false
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14 what method can be used to prove the triangles below are congruent? …
We need more information about the markings on the triangles to determine the correct congruence method. If two sides and the included angle are congruent, the answer is A. SAS; i…
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1. the vertices of a triangle are as follows: (6,-3), (1,5), and (8,-4)…
C. $(18,-9),(3,15),(24,-12)$
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△abc ~ △def. find each missing measurement. a 6 72° 12 c 9 b d 12 76° e…
a. $DE = 24$ b. $EF = 18$ c. $m\angle D = 72^{\circ}$ d. $m\angle E = 32^{\circ}$
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move equations and properties into the table to prove that opposite sid…
| Statement | Reason | |--|--| | \(RSTU\) is a parallelogram. | Given | | \(\angle URT\cong\angle STR\), \(\angle UTR\cong\angle SRT\) | Alternate interior angles are congruent | …
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transversals angle pair relationships write the angle relationship for …
(1) Alternate Exterior Angles (2) Same - Side Interior Angles (3) Alternate Interior Angles (4) Alternate Exterior Angles (5) Same - Side Interior Angles (6) Same - Side Exterior …
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for problems #6 - 7, solve for x using right - triangle trigonometry. w…
6. $x\approx21.64$ 7. $x\approx4.29$
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lesson 4: drilling for understanding 1. for the following diagrams, giv…
a. $SA = 2(lw+lh + wh)$ (dimensions: length $l$, width $w$, height $h$) b. $SA=6s^{2}$ (dimension: side length $s$) c. $SA = 2\pi r^{2}+2\pi rh$ (dimensions: radius $r$, height $h…
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in the diagram above, points d, e, and f are the mid - points of segmen…
| Segment | Coordinate Points | Slope | Equation of Line | |---|---|---|---| | $AB$ | $A(1,1),B(4,7)$ | $2$ | $y = 2x-1$ | | $BC$ | $B(4,7),C(9,0)$ | $-\frac{7}{5}$ | $y=-\frac{7}…
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3. find the measure of each missing angle. 3 points 63° 2 38° 3 1 m∠1 =…
$m\angle1 = 52^{\circ}$ $m\angle2 = 79^{\circ}$ $m\angle3 = 101^{\circ}$ $x = 15$ $m\angle A = 48^{\circ}$
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which segment is the hypotenuse?
Segment JG
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which sequence of transformations maps triangle abc onto triangle a*b*c…
A 180 - degree rotation about the origin.
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name: interior angles find the value of each indicated angle. 1) 2) 3) …
1. $x = 65^{\circ}$ 2. $x = 66^{\circ}$ 3. $x = 74^{\circ}$ 4. $x = 60^{\circ}$ 5. $x = 55^{\circ}$ 6. $x = 71^{\circ}$ 7. $x = 149^{\circ}$ 8. $x = 40^{\circ}$
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select all the sequences of transformations that always maintain congru…
A. a reflection and then a translation B. a translation and then a rotation F. a rotation and then a reflection
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which sequence of transformations maps triangle abc onto triangle a*b*c…
A reflection across the x - axis followed by a translation 2 units down.
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circle a is centered at (1,2) and contains the point (5,5). select all …
$(-3,-1)$, $(-2,-2)$, $(4,6)$
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which segment is adjacent to ∠j? answer
Segments EJ and JR
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which sequence of transformations maps triangle abc onto triangle a\b\c…
Reflection over the y - axis followed by a rotation 90 about point C
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current skill $ find the measure of ∠tmb.
$126^{\circ}$
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4. find x and m∠a. (9x + 17)° a (3x - 4)° b (6x - 31)° c x = ____ m∠a =…
\(x = 11\) \(m\angle A=116\)
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what type of angle is this? straight acute right obtuse
B. Acute
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2. find the measure of each missing angle. 4 points 68° 2 49° 1 3 93° m…
$m\angle1 = 63^{\circ}$ $m\angle2 = 49^{\circ}$ $m\angle3 = 87^{\circ}$ $m\angle4 = 44^{\circ}$
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a company rents water tanks shaped like cylinders. each tank has a diam…
$226.08$
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name: major grade: transformations (reflection) graph the image of the …
Follow the step - by - step reflection rules as described above to graph the images of the given figures for each transformation.
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geometry unit 4 retake name markeviaw 1. which of the following is the …
C. Acute
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find the measure of ∠ctg.
$2x + 65$
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a company sells water - tanks shaped like cylinders. each tank has a di…
$56.52$
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find the measure of ∠ptd.
\(110^{\circ}\)
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find the measure of ∠mrt.
$48^{\circ}$
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the diameter, d, of a sphere is 8 cm. calculate the spheres volume, v. …
$267.9$ $cm^{3}$
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the diameter, d, of a sphere is 11.2 cm. calculate the spheres volume, …
$735.2$
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2 bryce wants to replace the net on his basketball hoop. the hoop is 9 …
Problem 2: \(3\sqrt{10}\approx9.49\) Problem 3: \(\sqrt{70}\approx8.37\) Problem 4: \(12\) Problem 5: \(OU = 30\), \(\sin S=\frac{15}{17}\), \(\sin U=\frac{8}{17}\), \(\cos S=\fra…
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find the measure of ∠bhc.
$33^{\circ}$
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find the measure of angle 4. 2x + 127 7x + 167
$101\frac{2}{3}$ degrees
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solve the compound inequality. 4x + 3 < - 17 or 3x - 4 ≥ 11 graph the s…
The solution of the compound - inequality is $x < - 5$ or $x\geq5$. On the number - line, there is an open circle at $x=-5$ and an arrow pointing to the left for $x < - 5$, and a …
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find the measure of ∠cmh what is the value of x?
$x = 66$
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this rectangular prism is made of unit cubes. what is the volume of the…
36
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math 2 unit 3 quiz - version 1 right triangle trigonometry 1. solve for…
$b\approx95.81$
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find the measure of ∠tgc. 2m + 99 7m + 149
$79$