几何
三角形、圆、解析几何与证明题。
-
what type of angle is ∠dea? straight acute right obtuse
acute
-
what is the correct classification for \\( \\angle jml \\)? right acute…
obtuse
-
which classification best describes \\( \\angle 1 \\)? acute straight o…
acute
-
point q is the midpoint of \\( \\overline { g h } \\). \\( g q = 2 x + …
\(25\)
-
t is between points p and b. pt = 15 and tb = 10 what is pb? enter your…
\(25\)
-
what is the length of \\overline{bc}? enter your answer in the box. bc =
\(36\)
-
drag and drop the angle pairs to correctly match their description. ver…
- Vertical angles: \(\angle SUT\) and \(\angle RUQ\) - Complementary angles: \(\angle TUP\) and \(\angle PUN\) - Supplementary angles: \(\angle SUQ\) and \(\angle RUQ\) - Adjacent…
-
drag and drop the descriptions in the box that correctly classifies the…
\(\angle AOB\) and \(\angle BOC\): adjacent; \(\angle AOC\) and \(\angle COD\): adjacent, supplementary
-
what type of angle is ∠ceb? acute right obtuse straight
acute
-
what is the correct classification for \\( \\angle bec \\)? straight ac…
obtuse
-
using the image provided, which of the following describes the side len…
The correct option is C. \( SR < TS < RT \) (assuming the third option is labeled as C, but in the image, the third option is \( SR < TS < RT \))
-
10. which phrase describes the figure? concave nonagon concave octagon …
C. convex octagon
-
9. find the measure of y. 116° 129° 120° 130° 135° 125° 145° 129° 130° …
145° (corresponding to the first option: 145°)
-
list the side lengths of \\( \\triangle efg \\) in order from shortest …
\(EG < FG < EF\)
-
8. which phrase best describes this polygon? convex dodecagon concave h…
C. concave dodecagon (assuming the options are labeled A, B, C, D with C being "concave dodecagon")
-
list the side lengths of △hjk in order from shortest to longest.
$HK$, $HJ$, $JK$
-
7. what is the sum of the measures of the interior angles of polygon qr…
\( 360^{\circ} \) (the option corresponding to \( 360^{\circ} \))
-
6. find the measures of the angles in the figure. 50°, 50°, 100°, 100° …
B. \(60^\circ, 60^\circ, 120^\circ, 120^\circ\) (assuming the options are labeled A, B, C, D with B being the second option as per the order: first option is 50,50,100,100; second…
-
list the side lengths of △abc in order from shortest to longest.
AB, AC, BC (assuming angles are \(39^\circ\), \(67^\circ\), \(74^\circ\) due to angle sum being 180)
-
5. find the sum of the measures of the exterior angles of a 52 - gon. 3…
\(360^\circ\) (corresponding to the first option: \(360^\circ\))
-
4. find the measure of z. regular octagon 108° 144° 120° 135°
\( 135^{\circ} \) (corresponding to the option with \( 135^{\circ} \))
-
3. find the measure of y. 120° 85° 53° 122° 138° 102° 85°
102° (corresponding to the option with 102°)
-
2. find the measure of y. 93° 100° 110° 103°
\(103^\circ\) (corresponding to the option with 103°)
-
1. find the sum of the measures of the interior angles of a hexagon. 36…
\( 720^{\circ} \) (the option with \( 720^{\circ} \))
-
list the side lengths of \\( \\triangle wmx \\) in order from shortest …
\( VX \), \( WX \), \( WV \) (orden de más corto a más largo)
-
read the following excerpt from the most dangerous game by richard conn…
c. Courage in Adversity d. The determination to survive against the odds
-
triangle abc has coordinates a (-1, 1), b (1, 1), and c (0, -1). triang…
D. \((-3,3)\)
-
4 type the correct answer in each box. use numerals instead of words. i…
\(m\angle D = 67\), \(m\angle E=23\), \(m\angle F = 90\)
-
using the image provided, find ( mangle cba ).
\(47^\circ\)
-
12. (3 points) in the diagram below, ( mangle n = 38^{circ}, mangle m =…
Triangles LMN and OPQ are similar by AA (Angle-Angle) similarity criterion (all corresponding angles are equal).
-
graph the image of parallelogram pqrs after a reflection over the line …
Plot the points \(P'(10,-9)\), \(Q'(10,-7)\), \(R'(8,-2)\), \(S'(8,-4)\) and connect them.
-
solve for x 120° (x - 30)° a 120 b 90 c 150 d 180
\(x = 90\), so the answer is B.
-
match the expressions on the left which represent distance between two …
\(\sqrt{(-1 + 1)^2+(-7 + 3)^2}\) matches \((-1,-3),(-1,-7)\); \(\sqrt{(2 - 5)^2+(0 - 4)^2}\) matches \((5,4),(2,0)\); \(\sqrt{(0 - 4)^2+(-8 + 2)^2}\) matches \((4,-2),(0,-8)\); \(…
-
which statement proves that the triangles with the given vertices are c…
D. The triangles are congruent because \(\triangle ABC\) can be mapped onto \(\triangle A'B'C'\) by a rotation \((x,y)\to(-y,x)\) followed by a reflection \((x,y)\to(x, - y)\)
-
6. given: lp bisects mo, lo || mp prove: △lno ≅ △mnp 1. given 2. given …
\( \triangle LNO\cong\triangle MNP \) by the ASA (Angle - Side - Angle) congruence criterion.
-
6. given: (overline{lp}) bisects (overline{mo}), (overline{lo}parallelo…
\(\triangle LNO\cong\triangle MNP\) by the ASA (Angle - Side - Angle) congruence criterion.
-
16. triangle jkl and triangle pqr are shown above. if ∠j is congruent t…
A. \(\angle L\cong\angle R\) and \(JL = PR\)
-
it is important to be able to understand an-d compare measurements with…
\( 4.5\space km \) ### Part (b)
-
part 10 - assembling objects question 15 of 15 a b c d click the button…
D
-
part 10 - assembling objects question 14 of 15 a b c d click the button…
B
-
part 10 - assembling objects question 13 of 15 a b c d click the button…
D
-
5.1.2. rigid transformations and congruence 1. what transformation(s) c…
# Explanation: ## Step1: Analyze Coordinates First, let's list the coordinates: \( A(3,5) \), \( D(1,1) \), \( E(5,3) \); \( C(7,1) \), \( B(9,5) \), \( E(5,3) \). Notice that \( …
-
part 10 - assembling objects question 12 of 15 click the button or type…
D
-
carpentry mr lewis is building a rustic dining table. instead of having…
\( 41^\circ \)
-
part 10 - assembling objects question 11 of 15 click the button or type…
A
-
part 10 - assembling objects question 10 of 15 a b c d if b is your ans…
B. The shape in option B can be formed by assembling the given left - hand shapes.
-
part 10 - assembling objects question 9 of 15 click the button or type …
C
-
part 10 - assembling objects question 8 of 15 click the button or type …
A
-
part 10 - assembling objects question 7 of 15 click the button or type …
D
-
part 10 - assembling objects question 6 of 15 click the button or type …
C
-
click the button or type the letter next to your answer.
B
-
find the value of t that makes quadrilateral pqrs a parallelogram.
$-42$
-
part 10 - assembling objects question 1 of 15 a b c d click the button …
C
-
find the value of s that makes quadrilateral bcde a parallelogram.
\(s = 1\)
-
triangle xyz is transformed to create triangle xyz. the side lengths of…
A. Yes, the pre - image and image have the same side length measures.
-
find the value of b that makes quadrilateral tuvw a parallelogram.
\(b = 24\)
-
a transformation is shown in the diagram. which transformation is shown…
Quadrilateral DEFG is rotated to form quadrilateral D'E'F'G'.
-
which transformations are nonrigid transformations? select two options.…
A. dilation, D. stretch
-
which transformation maps quadrilateral efgh to quadrilateral qrsp? dil…
C. rotation (Wait, correction: After re-evaluating, the correct transformation is **reflection**? Wait, no—wait, the figures: EFGH and QRSP. Let’s check orientation. If we rotate …
-
if fg = 3c - 56 and fi = c, find the value of c that makes quadrilatera…
\(56\)
-
a transformation of rectangle abcd results in rectangle abcd. which tra…
dilation
-
43) (39) find the value of v that makes quadrilateral qrst a parallelog…
\(18\)
-
consider the transformation. which statement about the transformation i…
It is not isometric because the side lengths did not remain the same. (The option corresponding to this statement, assuming the options are labeled as: the third option, e.g., if …
-
triangle srq undergoes a rigid transformation that results in triangle …
B. ∠R corresponds to ∠U, C. $\overline{UV}$ corresponds to $\overline{RS}$
-
triangle abc is transformed to create triangle mnl. which statement is …
The transformation is rigid because corresponding side lengths and angles are congruent.
-
a transformation of asfv results in a utv. which transformation maps th…
reflection
-
the center of circle c is at (6,2), with a radius of 5. in order to pro…
5
-
consider the two rectangles shown. what transformation maps rectangle q…
rotation (Wait, correction: After re - evaluating, the correct transformation is rotation? No, wait, the key is the orientation. Wait, actually, the correct answer should be rotat…
-
complete the proofs for the following. 23) given: prove: \\( \\overline…
### Problem 23: #### Step-by-Step Proof: We are given \( \overline{AB} \parallel \overline{DC} \) and \( \angle B \cong \angle D \), and we need to prove \( \triangle ADC \cong \t…
-
exploring the inscribed angle theorem use the explore tool to draw cent…
315
-
find the value of p that makes quadrilateral hijk a parallelogram.
\(p = 39\)
-
49) 29.2 if ab = 7t and ad = t + 6, find the value of t that makes quad…
\(t = 1\)
-
in the figure below, ( jk = 19 ) and ( jl = 35 ). find ( kl ).
\( 16 \)
-
if be = 3y and de = y + 22, find the value of y that makes quadrilatera…
\( y = 11 \)
-
in the figure below, ( st = 15 ) and ( tv = 8 ). find ( sv ).
\( 23 \)
-
5) use the pythagorean theorem to solve for the unknown side lengths a)…
s: a) \( x = 10 \) b) \( y = 5 \)
-
7) $x = 180 - 115 = 65$ $165 + 65 = 105$ $1430 = 18$ $x = 65$ $65 - 65 …
\(x = 65^\circ\), \(y = 50^\circ\), \(z = 65^\circ\) (Note: The original marking for \(z\) as wrong was incorrect; \(z\) should be \(65^\circ\) as shown in the steps.)
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x =
9
-
this is a 30 - 60 - 90 triangle. what is the measure of x?
$9\sqrt{3}$
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
$4\sqrt{3}$
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
2
-
consider the reduction of the rectangle. write a proportion and then so…
The two ratios that can be used in the proportion are \(\frac{3}{6}\) and \(\frac{x}{18}\). The value of the missing measure \(x\) is \(9\).
-
this is a 30 - 60 - 90 triangle. what is the measure of x? 4\\sqrt{3} x…
8
-
this is a 30 - 60 - 90 triangle. what is the measure of x? 18 x x =?√
$9\sqrt{3}$
-
analyzing a description of a transformation all side lengths of \\( \\t…
No, at least one segment length is not preserved, making this a nonrigid transformation.
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
2
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
1
-
a transformation is shown in the diagram. ∠a ≅ ∠a and ∠c ≅ ∠c which tra…
A. $\triangle ABC$ was dilated to form $\triangle A'B'C'$. The transformation is not isometric.
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
9
-
this is a 30 - 60 - 90 triangle. what is the measure of x? x = ?
40
-
use the proportion of the triangle enlargement to find the missing meas…
\(x = 24\)
-
analyzing a transformation which type of transformation is shown? the t…
s: - The type of transformation is a \(\boldsymbol{\text{rotation}}\) (and it is a \(\boldsymbol{\text{rigid}}\) transformation). - The angle measures of rectangle \( QRST \) are …
-
c. inscribed angles that intercept the same arc of a circle > enter the…
are equal (or congruent)
-
analyzing a transformation the mapping of defg to defg is shown. which …
The correct statements are: - $\overline{EF}$ corresponds to $\overline{E'F'}$ - $\angle EDG\cong\angle E'D'G'$ - $\angle DEF\cong\angle D'E'F'$ - The transformation is a rigid tr…
-
which type of transformation maps trapezoid pqrs onto trapezoid pqrs? r…
dilation
-
consider the enlargement of the triangle. which proportional statements…
\(\frac{x}{16}=\frac{9}{6}\), \(\frac{6}{16}=\frac{9}{x}\), \(\frac{16}{x}=\frac{6}{9}\)
-
consider the rotation of figure wxyz shown. complete the statements abo…
Point \( W \) corresponds to point \( Y' \). Angle \( \angle ZWX \) corresponds to angle \( \angle Z'Y'X' \).
-
founders park is planning to add a slide. the scaled model gives the re…
\(\frac{49}{6}\approx8.17\)
-
which transformation shows a reflection of (\triangle def)?
The transformation with the purple \( \triangle DEF \) and the light purple \( \triangle D'E'F' \) (the middle option) shows a reflection of \( \triangle DEF \).
-
founders park is planning to add a slide. the scaled model gives the re…
\(\frac{49}{6}\approx8.17\)