Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which equation can be used to find the measure of angle ljk? ○ sin(x) =…
C. cos(x) = 10/15
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given: △gpk is equilateral; l is the mid - point of (overline{gp}). pro…
1. $\triangle GPK$ is equilateral. - Given 2. $GP = PK=GK$ - Definition of an equilateral triangle 3. $L$ is the mid - point of $\overline{GP}$. - Given 4. $\overline{GL}\cong\ove…
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7. a quadrilateral with sides measuring 12, 4, 6, and 8 meters is dilat…
The side lengths of the dilated quadrilateral are 18 meters and 27 meters.
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the sides of a triangle are shown. determine if the triangle is an acut…
The triangle is acute.
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4. the graph of jklm is shown. graph the image of jklm after a translat…
General rule for coordinates of image: \((x,y)\to(x - 4,y - 4)\)
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given: ∠a≅∠e, (overline{ac}congoverline{ec}) prove: (\triangle cadcong\…
1. $\angle A\cong\angle E$, $\overline{AC}\cong\overline{EC}$ - Given 2. $\angle ACD\cong\angle ECB$ - Vertical angles are congruent 3. $\triangle CAD\cong\triangle CEB$ - Angle -…
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3. the graph of △rst is shown. graph the image of △rst after a translat…
The coordinates of the image are \(R'(-3,-3)\), \(S'(-3,-5)\), \(T'(1,-5)\)
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determine if each set of numbers shown forms a pythagorean triple. a) {…
a) Yes b) No
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2. the graph of efgh is shown. graph the image of efgh after a translat…
The coordinates of the image $E'F'G'H'$ are $E'(-4,4)$, $F'(-2,2)$, $G'(0,4)$, $H'(-2,6)$
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an acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one…
B. 24.2 cm
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the legs of a right triangle are 30 cm and 72 cm. find the length of th…
78 cm
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the following flowchart with missing statements and reasons proves that…
1. Measure of angle AED is 54° 2. Triangle Sum Theorem 3. Corresponding angles are congruent
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additional practice 1. the graph of △abc is shown. graph the image of △…
The coordinates of the image are \(A'(-1,4)\), \(B'(-2,1)\), \(C'(1,3)\)
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a ramp is built outside a hospital at a height of 8 feet and reaches 15…
17 feet
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given right triangle abc, what is the value of tan(a)?
C. 12/5
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what is the measure of angle s? 48° 56° 93° 101°
D. 101°
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find the length of lm.
28
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the equation $\tan^{-1}(\frac{8.9}{7.7}) = x$ can be used to find the m…
C. 49°
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question 14 (multiple choice worth 1 points) (02.01r, 02.02r mc) which …
Reflection across \(x = 4\), \(180^{\circ}\) rotation about the origin, and a translation of \((x - 8,y)\)
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question 13 (multiple choice worth 1 points) id: 6087 mc eric reflected…
125°
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question 12 triangle abc has been translated to create triangle abc. an…
ASA
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determine which set of numbers shown forms a right triangle. a {20, 48,…
D. All of the above
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triangle jkl and triangle ghi are shown in the figure. if m∠i = 47°, wh…
B. $47^{\circ}$
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decide whether the triangles are similar. if so, determine the appropri…
$\triangle ABC\sim\triangle EFD,x = r\cdot\frac{w}{z}$
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a triangle has sides with lengths of 9 cm, 12 cm, and 15 cm. is it a ri…
A. yes
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question 10 (multiple choice worth 1 points) (01.024 mc) decide whether…
\(\triangle ABC\sim\triangle FDE,x = r\cdot\frac{w}{z}\)
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what is the measure of ∠n to the nearest whole degree? 35° 45° 55° 65° …
C. 55°
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question 9 (multiple choice worth 1 points) (01 05r.mc) what is the con…
If the angles are supplementary, then the sum of the two angles is 180°
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a wire extends from the top of a 72 foot flag pole to a stake in the gr…
75 feet
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triangle abc is shown on the coordinate plane. if △abc is reflected ove…
(-9,-9), (-3,-6), and (0,-12)
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identify the scale factor determine whether the dilation from figure a …
1. Reduction, \(k = \frac{1}{2}\), \((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\) 2. Enlargement, \(k = 2\), \((x,y)\to(2x,2y)\) 3. Enlargement, \(k = 2\), \((x,y)\to(2x,2y)\) 4. Reducti…
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given △abc ~ △xyz, what is the value of cos(z)? options: - $\frac{5}{13…
C. 12/13
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question 7 (multiple choice worth 1 points) (01.07 mc) chelsea drew two…
When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.
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lj is painting the rectangular ceiling in his living room. if the lengt…
30 feet
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look at the figure shown below. dora is writing statements as shown bel…
$(3x + 24)\times51=3x\times85$
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look at the figure shown below. dora is writing statements as shown bel…
\((x + 24)\times51=3x\times85\)
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the hypotenuse of a 45° - 45° - 90° triangle measures 7√2 units. what i…
A. 7 units
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rectangle abcd is translated (x + 2, y - 3) and then rotated 180° about…
$A''(3,2), B''(3,0), C''(-1,0), D''(-1,2)$
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which is the best approximation for the measure of angle abc? 27.7° 31.…
E. 62.3°
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determine if the figure shown is a right triangle.
No, the figure is not a right - triangle.
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question 4 a triangle has vertices at a(-2, 2), b(1, 1) and c(3, 2). wh…
(x,y)→(-x,-y)
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the equation cos(35°) = \\frac{a}{25} can be used to find the length of…
B. 20.5 in.
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question 3 (multiple choice worth 1 points) (01 06r mc) ray il bisects …
59°
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dan uses a compass to draw an arc from q as shown. he wants to construc…
The figure where a compass is placed on R and an arc is drawn with the same radius as the arc drawn from Q (the first arc in the construction process) is the correct next - step f…
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which figure shows the next step to construct a congruent angle at r?
The third figure (as it shows using the compass to transfer the length from the arc at Q to the arc at R)
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17 dilate triangle ijk center of dilation: (0, 0) scale factor: $\frac{…
I': $(-4,-\frac{8}{3})$ J': $(4,\frac{4}{3})$ K': $(-4,-\frac{16}{3})$
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question 1 the figure below shows a quadrilateral abcd. sides ab and dc…
Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles.
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a parallelogram has side lengths of 4 and 6 and an angle of measure 55°…
B. 5
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a corner of a rectangle is cut, creating a trapezoid. what is the value…
D. 135°
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1. find the slope of line a: 2. find the slope of line b: 3. find the s…
1. -1 2. 0 3. 1 4. Undefined
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triangle ghj is graphed on a coordinate plane. the transformations list…
B. triangle B
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the hypotenuse of a 45° - 45° - 90° triangle measures 10√5 in. what is …
B. \(5\sqrt{10}\)
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kari is flying a kite. she releases 50 feet of string. what is the appr…
A. 14.2 feet
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16. dilate kite efgh center of dilation: (0, 0) scale factor: 2 e: ____…
E': (-4, -2) F': (0, 6) G': (4, -2) H': (0, -6)
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two students stand 1 yard apart and measure their respective angles of …
B. 3.2 yards
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a circle representing a pool is graphed with a center at the origin. gr…
\(y = 6-\frac{x}{4}\) (corresponding to the third option)
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7. this diagram is a straightedge and compass construction. a is the ce…
a. \(AB\) and the line segment joining the two intersection points of the circles in the first diagram b. \(AM\) and \(AN\) (radii of the circle centered at \(A\) in the first dia…
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what is the approximate value of b, rounded to the nearest tenth? use t…
B. 4.7 units
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a carpenter cuts the corners of a rectangle to make the trapezoid shown…
11
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question 15 (multiple choice worth 1 points) (01.07r mc) line ct and li…
Angle TAM and angle CAS are vertical angles that are congruent.
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a theater production group is making frames to support wall - like prop…
A. 16.7°
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4. this diagram is a straightedge and compass construction of a line pe…
A. $EC$ ### Question 5
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what is the inverse of the following conditional statement? \if the sum…
If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle
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what is the area of triangle abc? round to the nearest square unit. her…
C. 33 square units
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which of the following correctly justifies statement 4 of the two - col…
Transitive Property of Equality
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a sequence of transformations is performed on △abc, resulting in △abc. …
C. $R_x$ followed by $T_{-1,-2}$
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which of the following explains the relationship between angles a and d…
Vertical angles
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question 10 (multiple choice worth 1 points) (01 05r mc) which statemen…
If two angles are vertical angles, then they are congruent
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point a is a vertex of a polygon. point a is the image of a after the d…
5. \(3\) 6. \(\frac{2}{3}\) 7. \(5\) 8. \(2\) 9. \(\frac{1}{4}\) 10. \(\frac{3}{4}\)
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ian is bisecting line segment cd. first, ian places the compass on endp…
Keep the compass the same width, and place it on the other point D.
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question 8 (multiple choice worth 1 points) (01.05r mc) read the follow…
Both statements are true and they have the same meaning
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figure abcd is a parallelogram. what is the value of n? (2n + 32)° (4n …
17
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hey, king: get off our backs! d. phrases to know. learn these phrases f…
1. 1 - D, 2 - E, 3 - A, 4 - C, 5 - F, 6 - B 2. evident; equal; rights; life; liberty; happiness; powers; consent; people; abolish 3. life, liberty, pursuit of happiness
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alex wants to construct a line segment through r that makes the same an…
The figure where with the compass set to the distance between the intersection points of the arc and the sides of the angle at the given vertex (near O), an arc is drawn from the …
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which figure shows the next step to construct a congruent angle at r?
The figure that shows using a compass to measure the distance between the intersection points of the arc and the sides of the given angle and then marking that distance on the arc…
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question 5 (multiple choice worth 1 points) (01.02r 01.06r lc) lara con…
m∠POS = 30°, m∠POQ = 60°
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lesson 6 practice problems 1. which of the following constructions woul…
1. C 2. B, C, D 3. 1. Place the compass at point A. Draw a circle that intersects rays AB and AC at two distinct points. 2. Place the compass at one of the intersection points (e.…
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question 5 multiple choice worth 1 points lara constructed ∠poq and the…
A. \(\angle POS = 30^{\circ},\angle POQ = 60^{\circ}\)
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if possible, use the law of detachment to make a conclusion. if it is n…
C. The conclusion is the square has side length 5 cm.
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question 4 (multiple choice worth 1 points) (01 06r mc) ray be bisects …
31°
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question 3 in the figure, lines m and n are parallel. if m∠2 = 77°, wha…
$77^{\circ}$
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name: balance equations task each triangle = 3 each square = x 1. write…
a. $x = 5$ b. $y = 6$ c. If we assume the correct balance, the value related to the left - hand side (assuming variable $z$) is $z = 12$ d. Assuming a variable $w$ for the left - …
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figure abcd is a parallelogram. which sequence could be used to prove t…
First prove \(\triangle ABC\) is congruent to \(\triangle CDA\), and then state \(\overline{AD}\) and \(\overline{BC}\) are corresponding sides of the triangles.
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examine the paragraph proof. which theorem does it offer proof for? acc…
Alternate Interior Angles Theorem
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question 1 (multiple choice with 1 parts) (01.07 lc) find the measure o…
x = 8
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figure jklm is a parallelogram. the measures of line segments mt and tk…
C. 7
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consider the following conditional. if all four sides of a quadrilatera…
A. Figure A, D. Figure D
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usa la figura de la derecha para resolver los ejercicios 12 y 13. 12. ¿…
12. $\angle1$ 13. $\angle2$ 14 - 18: Without a protractor to measure the angles in the given figures, we cannot provide specific angle - measures and classifications. If we were t…
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question 5 5.1 using the diagram below, prove that $\frac{sin a}{a}=\fr…
The proof is completed as above, showing that \(\frac{\sin A}{a}=\frac{\sin B}{b}\).
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consider the following conditional. if all four sides of a quadrilatera…
B. Square, C. Rhombus, E. Rhombus
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given m||n, find the value of x.
\(66\)
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what will be the coordinates of point $r$, the image of point $r$ after…
D. $(-4, - 5)$
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question given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 66\)
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figure cdef is a parallelogram. which equations are correct? select thr…
A. n = 10, C. CF = 59, D. FE = 42
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the triangle uvw is a dilation of the triangle uvw. what is the scale f…
$\frac{1}{5}$
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16. find the measure of an angle that is complementary to ∠vwh 17. name…
16. 20° (assuming ∠VWH = 70°) 17. ∠WLY and ∠LYR 18. ∠VWU and ∠WUS, ∠QYR and ∠QYW 19. 95° (assuming ∠EGF = 85°) 20. ∠BCA and ∠ACD 21. ∠BCA and ∠EGF
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medir ángulos modelo g usa el siguiente diagrama para resolver los ejer…
1. $m\angle MLN = 40^{\circ}$ 2. $m\angle NLP=80^{\circ}$ 3. $m\angle NLQ = 140^{\circ}$ 4. $m\angle OLP=30^{\circ}$ 5. $m\angle MLQ = 180^{\circ}$ 6. Acute 7. Acute 8. Obtuse 9. …
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the graph will show the height of the red car as the time increases. pr…
80
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volume use the information below to answer the question. volume refers …
defines the space
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figure abcd is a parallelogram. what are the lengths of line segments a…
E. AB = 10; BC = 28