Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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look at this graph: what are the coordinates of the vertex?
(0, - 4)
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the pitch of a roof is defined as $\frac{rise}{rafter}$. (a) determine …
$\frac{1}{4}$
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which composition of transformations would map lmno to lmno? $r_{m,90^{…
$r_{w}\circ R_{M,180^{\circ}}$
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the pitch of a roof is defined as $\frac{rise}{rafter}$. (a) determine …
$\frac{1}{8}$
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determine the composition of transformations that would map figure abcd…
rotation
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composing transformations determine the composition of transformations …
1. translation 2. reflection
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figure j is the result of a transformation on figure i. which transform…
A rotation 90° clockwise about the origin
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determine the composition of transformations that would map figure abcd…
a translation down and right
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in the diagram (mangle1 = 42^{circ}) and (mangle4 = 99^{circ}). find (m…
$99^{\circ}$
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in the figure below, lines l and k are parallel. suppose that m∠4 = 46°…
$m\angle4 + m\angle2 + m\angle5 = 180^{\circ}$; $m\angle2 = 54^{\circ}$; $\angle4$ and $\angle1$ are vertical angles and corresponding angles; $m\angle1 = 46^{\circ}$; $\angle3$ a…
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look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarr…
$110$
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look at this diagram: if rt and uw are parallel lines and m∠wvs = 62°, …
$118$
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look at this diagram: if (overrightarrow{eg}) and (overrightarrow{hj}) …
$50$
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look at this diagram: if jl and mo are parallel lines and m∠onk = 138°,…
$42$
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given: $overline{jm}$ bisects $angle kjl$, $angle jmkcongangle jml$ pro…
**First proof**: 1. Given 2. Given 3. Definition of angle - bisector (If a ray bisects an angle, it divides the angle into two congruent angles) 4. Reflexive property of congruenc…
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given: x is the mid - point of (overline{wy}) and (overline{vz}) prove:…
1. Given 2. Definition of mid - point 3. Definition of mid - point 4. Vertical angles are congruent 5. Side - Angle - Side (SAS) congruence postulate 6. Corresponding parts of con…
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what geometric shape is modeled by a sheet of paper? a plane b line c p…
A. Plane
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given: s is the mid - point of qu, qr = st, rs = tu. prove: △qrs≅△stu. …
4. Definition of mid - point; 5. Side - Side - Side (SSS) congruence criterion
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what is the distance between a and b? a(-3, -4) b(4, 5) a $sqrt{82}$ b …
C. $\sqrt{130}$
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given: bd bisects ∠abc, ∠bad ≅ ∠bcd. prove: δabd ≅ δcbd. statements: 1.…
3. Definition of angle - bisector; 4. Reflexive property of congruence; 5. AAS (Angle - Angle - Side) congruence criterion
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what is the length of $overline{az}$? use the following information: a …
D. 144
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congruent triangle proofs mixed! complete each proof using the most app…
2. Definition of mid - point; 3. Definition of mid - point; 4. Vertical angles are congruent; 5. Side - Angle - Side (SAS) congruence postulate
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part a in the figure, \\(\\overrightarrow{bd}\\) bisects \\(\\angle abc…
Part A: $x = 20$ Part B: $m\angle ABC=70^{\circ}$
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solve for x if m is a midpoint. a 12 m 3x - 9 b
x = 7
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in the figure below, ∠bec and ∠ced are adjacent. if m∠bec = 56° and m∠b…
$67$
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find the coordinates of the other endpoint of a segment with an endpoin…
C. $(3,1)$
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use a vertical shift to graph the function. y = cos x + 10
The graph of $y=\cos x$ is shifted 10 units up. It has a mid - line at $y = 10$, an amplitude of 1, and a period of $2\pi$, oscillating between $y = 9$ and $y = 11$.
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construction lupita is building a gate following this diagram. if m∠lmn…
B. $94^{\circ}$
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the vertices of △abc are a(2, 8), b(16, 2), and c(6, 2). the perimeter …
Perimeter: $32.44$ Area: $30$
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5. if the scale factor of figure a to figure b is 7:2, find the perimet…
63
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solve for x. 32° (5x + 3)° a 12 b 11 c 5.8 d 29
B. 11
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use the given information to prove that (mangle rst = mangle vut). give…
$m\angle RST = m\angle VUT$
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which angle number represents ∠dhe?
5
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3. a 10 15 18 b 6 4 7.2
The two triangles are similar.
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if ac = 30 and bc = 11, find ab.
19
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if ab = 21 and bc = 37, find ac. a b c 21 37 ac = ?
58
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if ac = 23 and bc = 19, find ab.
4
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if ac = 32 and bc = 24, find ab.
8
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3. 10 18 a 15 6 4 b 7.2 if the scale factor of figure a to figure b is
$\frac{5}{3}$
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if ac = 27 and bc = 11, find ab.
$16$
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if ac = 63 and bc = 45, find ab. if b is between a and c, then ab + bc …
$18$
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name an angle (just the letters)
∠ABE (Other valid answers like ∠EBD, ∠DBC, ∠ABC, etc. are also acceptable)
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if ab = 28 and bc = 22, find ac a b c 28 22 ac = ? if b is between a an…
50
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name a line segment (just the letters)
AB
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11) find y if $overline{ad}congoverline{bc}$ and $overline{ab}=30$. a d…
11
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name a ray (just the letters)
$\overrightarrow{BA}$
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12) find ac if $overline{de}congoverline{bc}.$
$24$
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name an angle (just the letters)
∠ABE (Other valid answers like ∠EBD, ∠DBC, ∠ABD, ∠EBC are also acceptable)
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question 20 of 40 which statement is not always true for a parallelogra…
C. Consecutive angles are congruent.
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question 19 of 40 a triangle with sides of lengths 10, 18, and 21 is a …
B. False
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what is the circumference of a circle with a diameter of 5 feet? c = ? …
$15.7$
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question 17 of 40 if $overline{ad}congoverline{bd}$, which of the follo…
B. $\triangle ACD\cong\triangle BCD$, because of SAS.
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find the area. a = ?cm² area of a trapezoid $\frac{(b_1 + b_2)}{2}cdot …
$108$
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question 16 of 40 which of the following is the correct definition of a…
B. A shape formed by two intersecting rays
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find the value of x. x = ?° 83° 41°
$56$
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two right triangles are similar if the acute angles of one triangle are…
A. True
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question 14 of 40 determine the scale factor for △abc to △abc.
D. 2
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question 13 of 40 what angle is included by $overline{ab}$ and $overlin…
B. $\angle B$
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question 12 of 40 which of the following is the measure of an acute ang…
C. 82°
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find the midpoint, m, of $overline{st}$. m = ?
14
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10) find d if $overline{ab}congoverline{bc}$. 10 5d - 2 a b c
$d = 2.4$
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question 11 of 40 in triangle abc, m∠a = 35°, m∠b = 40°, and a = 9. whi…
B. $\frac{\sin35^{\circ}}{9}=\frac{\sin40^{\circ}}{b}$
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6. circle o is similar to circle x because all the linear dimensions ar…
D. $C = 2\pi r$ and $C'=2\pi r'$ by the definition of circumference.
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find the midpoint, m, of $overline{ef}$. e 6 m f 18 m = ?
12
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question 9 of 40 what is sin 16°? 74° 25 7 16° 90° 24 a. $\frac{7}{24}$…
D. $\frac{7}{25}$
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find the midpoint, m, of $overline{ef}$. e 10 m f 20 m = ?
15
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3. give the scale factor of figure a to figure b. 5. if the scale facto…
1. Scale factor of figure A to figure B (triangles): $\frac{25}{12}$ 2. Perimeter of figure A (trapezoids): $122.5$
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if a right triangle △def is dilated by a scale factor of 2, which of th…
B. The sides of $\triangle DEF$ are congruent to the sides of $\triangle D'E'F'$.
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find the midpoint, m, of $overline{ab}$. a 20 m b 54 m = ? midpoint is …
37
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question / of 40 the angle of elevation from the bottom of a scenic gon…
D. 1654 feet
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question 6 of 40 henry constructed circle a with a radius of 6 units. h…
C. $\frac{90}{360}(36\pi)$
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find the value of g. g = ?° (2g)° 80°
$40$
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question 5 of 40 which of the following is not a congruence theorem or …
D. AAA
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question 4 of 40 intersecting lines that form a right angle are defined…
C. perpendicular
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find the value of g. g = ?° (2g)° 80°
\(g = 50^{\circ}\)
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below is the justification for the formula for area of a circle. which …
product
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these angles are supplementary. what is the measure of ∠x? x = ?°
117°
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question 2 of 40 is △abc similar to △def? why or why not? a. yes, becau…
B. No, because not all the angles are congruent.
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these two angles are complementary. what is the measure of ∠x? ∠x = ?° …
\(19^{\circ}\)
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question 1 of 40 in the triangle below, what is the length of the side …
C. $3\sqrt{3}$
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tv and wy are parallel lines. which angles are adjacent angles? ∠vux an…
$\angle VUX$ and $\angle YXU$
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qs and tv are parallel lines. which angles are vertical angles? ∠qru an…
$\angle QRU$ and $\angle SRP$
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question 25 of 25 if a circle is inscribed in a square, which of the fo…
B. The circle is tangent to each side of the square., C. Each vertex of the square lies outside the circle., E. The square is circumscribed about the circle.
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if a circle is inscribed in a square, which of the following must be tr…
B. The circle is tangent to each side of the square., C. Each vertex of the square lies outside the circle., E. The square is circumscribed about the circle.
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question 24 of 25 which of the following best describes the circumferen…
C. The distance around the circle
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fh and ik are parallel lines. which angles are alternate interior angle…
$\angle IJG$ and $\angle HGE$
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question 23 of 25 what is the measure of ∠vxz? a. 34° b. 25° c. 59° d. …
A. $34^{\circ}$
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question 22 of 25 if two chords are the same distance from the center o…
B. congruent
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oq and rt are parallel lines. which angles are vertical angles? ∠rsp an…
\(\angle RSP\) and \(\angle TSU\)
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question 21 of 25 point d is the center of the given circle. what is th…
D. 96°
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question 20 of 25 true or false? an inscribed angle is formed by two ch…
A. True
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km and np are parallel lines. which angles are vertical angles? ∠mlo an…
$\angle MLO$ and $\angle NOL$
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question 19 of 25 oc is perpendicular to ab. what is the length of ab? …
C. 8.8 units
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question 18 of 25 the ____ of a triangle is the center of the only circ…
B. incenter
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bd and eg are parallel lines. which angles are adjacent angles? ∠gfh an…
$\angle GFH$ and $\angle GFC$
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the radius of the circle shown below is 8 centimeters. what is the appr…
A. 16.1 cm
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if the measure of a tangent - chord angle is 68°, then what is the meas…
C. $136^{\circ}$
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qs and tv are parallel lines. which angles are supplementary angles? ∠v…
∠VUR and ∠VUW
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pr and su are parallel lines. which angles are supplementary angles? ∠r…
\(\angle RQT\) and \(\angle PQT\)
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ln and oq are parallel lines. which angles are adjacent angles? ∠lmk an…
∠LMK and ∠NMK