几何
三角形、圆、解析几何与证明题。
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< a and < b are vertical angles with m < a = x and m < b = 4x - 30. wha…
10
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question point o is on line segment $overline{np}$. given $np = 4x + 10…
$30$
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point r is on line segment $overline{qs}$. given $qr = 3x - 8, qs = 3x$…
$8$
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graph the line x = - 2.
Draw a vertical line passing through the point $x = - 2$ on the $x$ - axis. All points on this line have an $x$ - coordinate of $-2$ and can have any $y$ - coordinate.
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question point s is on line segment $overline{rt}$. given $rt = 5x - 4$…
$4$
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draw acute ∠pqr. then construct its bisector. draw acute ∠pqr. choose t…
C.
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a sector of a circle is a section shaped like a piece of pie, bounded b…
B. The segments joining the radius and arc must be identical, C. The central angles must have the same measure, F. The segments joining endpoints of each arc are congruent, H. The…
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if m∠poq = 24 and m∠por = 59, what is m∠qor? m∠qor = (simplify your ans…
35
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the game of triominoes has equilateral - triangular playing pieces with…
The figure is a rhombus because it has four equal sides.
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problem 21: (first taught in lesson 2) select the venn diagram that rep…
The Venn - diagram with a large circle labeled "True bodybuilders", a smaller circle completely inside the "True bodybuilders" circle labeled "People who have a plan for improving…
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answer the following a. construct quadrilaterals having exactly one, tw…
a. For exactly one right - angle: Draw a non - rectangular quadrilateral with one $90^{\circ}$ angle. For exactly two right - angles: Draw a trapezoid with two adjacent right - an…
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question given m||n, find the value of x. answer attempt 1 out of 2 x =
\(x = 159\)
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answer the following a. construct quadrilaterals having exactly one, tw…
a. A right - angled trapezoid can have exactly one right angle. A trapezoid with two adjacent right angles has two right angles. A rectangle has four right angles. b. No. Because …
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classify each of the following as true or false. a. no trapezoid is a s…
a. True b. True
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given m||n, find the value of x. answer attempt 1 out of 2 x =
$x = 57$
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24. select the correct proof from the options listed. given: m∠1 = m∠2 …
A. Statements: 1. $m\angle1 = m\angle2$; 2. $m\angle1 = m\angle3$; 3. $m\angle2 = m\angle4$; 4. $m\angle3 = m\angle2$; 5. $m\angle3 = m\angle4$. Reasons: 1. Given; 2. Vertical ang…
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in each of the following, fill in the word needed to make the resulting…
a. square b. parallelogram
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3. m∠1 + m∠2 = m∠____ 3. angle addition postul 4. m∠___ + m∠___ = m∠___…
3. The angle formed by $\angle1$ and $\angle2$ (e.g., if they are adjacent and we name the combined angle, we can say $m\angle1 + m\angle2=m\angle(\text{the angle formed by }\angl…
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what combination of transformations is shown below? reflection, then tr…
rotation, then translation
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what combination of transformations is shown below? reflection, then tr…
reflection, then translation
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question solve for the value of n.
$n = 19$
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given: mo ⊥ no, ∠1 and ∠2 are adjacent angles. prove: m∠1 + m∠2 = 90°. …
C. Statements: 1. $MO\perp NO$ (Given); 2. $\angle1$ and $\angle2$ are adjacent angles (Given); 3. $\angle MON$ is a right angle (Perpendicular lines intersect to form right angle…
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what combination of transformations is shown below? translation, then r…
rotation, then translation
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19. (l19) given: ad ⊥ cb prove: ∠dob is a right angle a. if the exterio…
A. complementary.
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question solve for the value of r. answer attempt 1 out of 2 r =
$r = 27$
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look at this shape: which image shows a rotation? a b c
B.
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a. if the exterior sides of a pair of adjacent angles are perpendicular…
20. A. Transitive Property 21. B. 70 22. B. 50
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look at this shape: which image shows a translation?
C.
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name _ date _ per _ two column proofs wk directions. fill in the proof …
| Statements | Reasons | |--|--| | 1. \(m\angle1 = m\angle3\) | 1. Given | | 2. \(m\angle1 + m\angle2=m\angle3 + m\angle2\) | 2. Addition Property of Equality | | 3. \(m\angle1 + …
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solve for x, then find the angle measurement type of angle pair these a…
Type of angle pair: supplementary Equation: \((x + 139)+132=180\) \(x=-91\) Angle Measurement: \(48^{\circ}\)
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solve for the value of r. (8r - 6)° (7r + 3)° answer attempt 1 out of 2…
$r = 9$
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look at this shape: which image shows a rotation? a b c
B.
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look at this shape: which image shows a reflection?
C.
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15. (19) find m∠sru in the diagram. a. 54 b. 45 c. 24 d. 48 e. none of …
15. D. 48 16. C. 132 17. A. Pairs of vertical angles are congruent. 18. C. If the exterior sides of a pair of adjacent angles are perpendicular, then the angles are complementary.
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solve for the value of z. answer attempt 1 out of 2 z =
\(z = 7\)
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describe the congruence transformations for pqrs → wxyz.
Reflect over the y - axis and then translate 6 units up.
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look at this shape: which image shows a reflection? a b c
B.
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11. (l20) all ______ angles are congruent. a. acute b. complementary c.…
E. right
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(c) problem 18: (first taught in lesson 42) find x. 128° after you ente…
$52$
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look at this shape: which image shows a translation? a b c
B.
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problem 17: (first taught in lesson 42) find x. after you enter your an…
$72$
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find the measure of the missing angles. answer attempt 1 out of 2 x = y…
$x = 61$ $y = 29$
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problem 16: select which shortcut can be used to prove this pair of tri…
A. Side - Side - Side
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select which shortcut can be used to prove this pair of triangles congr…
A. Side - Angle - Side
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problem 14: (first taught in lesson 23) from this given statement, sele…
There is no correct option among the given ones as the statement "If two adjacent angles are congruent, then they are right - angles" is false. Just because two adjacent angles ar…
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problem 14: (lesson 23) from this given statement, select the definitio…
There is not enough information given to prove that ∠SRK and ∠YRK are right - angles. Just because ∠SRK≅∠YRK does not mean they are right angles. There is no relevant definition, …
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find the measure of the missing angles. answer attempt 2 out of 2 d = 4…
\(d = 46^{\circ},e = 20^{\circ},f = 114^{\circ}\)
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12. (12) use the inch ruler below to measure the distance (in inches) b…
12. A. approximately $1\frac{1}{4}$ inches 13. B. complement: 19, supplement: 109 14. B. complement: $45 - x$, supplement: $135 - x$
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problem 14: from this given statement, select the definition, property,…
There is not enough information given to justify the prove statement. Just because $\angle SRK\cong\angle YRK$ does not mean they are right - angles. None of the options (assuming…
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5. (1) if $overline{xy}$ bisects $angle wxz$, $mangle wxy = 4x - 1$, an…
5. A. 62 6. C. 58 7. C. are never 8. D. vertical 9. C. distance 10. D. perpendicular; midpoint
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problem 13: from this given statement, select the definition, property,…
Corresponding - parts of congruent triangles are congruent (CPCTC).
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problem 12: (lesson 34) from this given statement, select the definitio…
The Angle - Side - Angle (ASA) Postulate.
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first quarter seton test 3 (test includes material up to lesson 21. tak…
1. D. 90 2. B. No 3. B. invalid 4. A. valid
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triangle a\b\c\ is formed by a reflection over x = 1 and dilation by a …
\(\triangle ABC\sim\triangle A''B''C''\)
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(b) problem 11: (first taught in lesson 30) find the measures of the an…
$50^{\circ},65^{\circ},65^{\circ}$
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(a) problem 10: find the measures of the angles of a triangle whose ang…
The angles are 15°, 75°, 90°. It is a right - triangle.
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given the following intersecting lines, how can angles 1 and 6 be class…
Adjacent Angles
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δabc was dilated from the origin by a scale factor to create δabc. whic…
Side AC is proportional to side A'C'.
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problem 9: (first taught in lesson 38) given that △ebc≅△cfe, answer thi…
$\triangle FEC$
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select the three statements that guarantee $overleftrightarrow{st}$ is …
$\overline{US}\cong\overline{UT}$, $\overline{SV}\cong\overline{TV}$, $\overline{SW}\cong\overline{UW}$
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problem 9: given that △ebc≅△cfe, answer this question. △ecf≅____ after …
$\triangle FEC$
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problem 8: given that △ebc≅△cfe, answer this question. bc≅___ after you…
$\overline{FE}$
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problem 7: given that △ebc≅△cfe, answer this question. ∠ceb≅____ after …
$\angle FCE$
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lesson 2 - 3: do now if ∠1≅∠2, which lines are parallel? □ because ∠1 a…
Lines $m$ and $p$ are parallel because $\angle1$ and $\angle2$ are corresponding angles.
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given triangles abc and def, which statement explains a way to determin…
Verify corresponding pairs of angles are congruent by dilation.
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problem 6: complete this sentence with the best of the choices given. i…
A. complementary
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given mp = mq and pr = qr, select the two true statements that are used…
1. \(\triangle PMR\cong\triangle QMR\) by the side - side - side criterion 2. \(\angle PMR\cong\angle QMR\) because corresponding parts of congruent triangles are congruent
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problem 5: complete this sentence with the best of the choices given. a…
A. altitude
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select the statement that guarantee $overline{ef}$ is congruent to $ove…
$EF = GH$
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problem 4: lesson 41) complete this sentence with the best of the choic…
B. median
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complete this sentence with the best of the choices given. if a triangl…
E. equiangular
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δpqr is dilated from the origin at a scale factor of $\frac{1}{2}$ to c…
D. similar; proportional; congruent
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in the figure below, lines m and n are cut by transversal t. which of t…
$\angle2\cong\angle3$ because vertical angles are congruent
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below is a proof that corresponding angles are congruent: prove ∠1≅∠2. …
Vertical Angle Theorem
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in the figure below, lines m and n are cut by transversal t. which of t…
\(\angle1\cong\angle2\) because corresponding angles are congruent
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according to the vertical angle theorem, vertical angles are congruent.…
$m\angle AOB + m\angle BOC = 180^{\circ}$ and $m\angle COD + m\angle BOC = 180^{\circ}$
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below is a proof of the alternate interior angle theorem: prove ∠1≅∠3. …
$\angle1\cong\angle2$
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for x, then find the angle measurements type of angle pair these angles…
Type of angle pair: congruent Equation: \(23x - 5=21x + 5\) \(x = 5\) Angle Measurements: 110 and 110
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problem 24 given: $overline{df}congoverline{af}$, $angle1congangle2$, $…
1. **Statements**: $\overline{DF}\cong\overline{AF},\overline{DC}\cong\overline{AB}$; **Reasons**: Given 2. **Statements**: $\angle A\cong\angle D$; **Reasons**: Given 3. **Statem…
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match each word problem statement with its correct algebraic translatio…
1. $x+(x + 2)\geq100$ 2. $2((w + 8)+w)>100$ 3. $y = 2x+8,x + y=100$ 4. $100+x>145$
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9. if ∠klm = 106, ∠rlm = ______ 12. ∠ikh = ______ 15. kj = ______
For $\angle RLM$, the answer is $74^{\circ}$. For $\angle IKH$, the answer is $90^{\circ}$.
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given: $overline{df}congoverline{af}$, $angle1congangle2$, $overline{dc…
1. First, prove $\triangle DFC\cong\triangle AFB$: - In $\triangle DFC$ and $\triangle AFB$, we have $\overline{DF}\cong\overline{AF}$ (given), $\angle 1\cong\angle 2$ (given), an…
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step statement reason 1 $overline{ab}$ and $overline{cd}$ intersect at …
\(m\angle AOC + m\angle AOD = m\angle AOD + m\angle BOD\)
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describe the congruence transformations for pqrs → wxyz. complete the s…
\(\angle P\cong\angle W\) \(\overline{PQ}\cong\overline{WX}\) \(\angle Q\cong\angle X\) \(\overline{QR}\cong\overline{XY}\) \(\angle R\cong\angle Y\) \(\overline{RS}\cong\overline…
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are figures b and b similar? explain your reasoning
Yes, figures B and B are similar because they are the same figure, so corresponding angles are equal and the ratios of corresponding side - lengths are equal.
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given m∠3 + m∠8 = 180°. which lines are parallel, if any must be parall…
c || d by the converse of the same - side interior angles theorem
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what is the measure of ∠ink? (4x + 6)° (7x - 21)° 138° 42° x = 9 171°
$42^{\circ}$
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1. the given point is reflected across the line indicated. find the coo…
1. **Explanation**: - **Step1: Règle de réflexion par rapport à \(y = - 1\)** Soit le point \(R(x,y)\). La distance entre le point \(R\) et la ligne \(y=-1\) est \(d=y - (-1)=y + …
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when two parallel lines are cut by a transversal, which of the statemen…
1. The statement "Same - side interior angles are congruent" is not true. 2. \(x = 20\)
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given: △peg, (overline{ep}congoverline{eg}), altitudes (overline{pk}) a…
1. **Step - 1: Identify right - angled triangles** In \(\triangle PEG\), since \(\overline{PK}\) and \(\overline{GH}\) are altitudes, \(\angle PKE=\angle GHE = 90^{\circ}\) 2. **S…
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given line m is parallel to line n. what theorem or postulate justifies…
Vertical angles theorem
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given that ∠2≅∠6. which theorem proves that d||e? converse of the alter…
Converse of the alternate interior angle theorem
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given line x is parallel to line y and m∠2 = 23°. what is m∠7? question…
$m\angle7 = 23^{\circ}$ $x = 5$
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given: △peg, $overline{ep}congoverline{eg}$, altitudes $overline{pk}$ a…
1. Given 2. Definition of altitude (An altitude of a triangle is a perpendicular segment from a vertex to the opposite - side, so the angles formed are right - angles) 3. All righ…
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if the m∠2 is 60°, what is the m∠6? question 6 solve for x.
\(60^{\circ}\)
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the perimeter of the original square is eight inches more than the leng…
$\frac{16}{3}$
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grafica una recta perpendicular a la recta dada. determina la pendiente…
# Explicación: ## Paso 1: Encontrar la pendiente de la recta dada Tomamos dos puntos en la recta dada, por ejemplo, (- 8,5) y (2,0). La fórmula de la pendiente $m$ entre dos punto…
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if the measure of m∠2 is equal to 45°, what is the measure of m∠3? ques…
The measure of $\angle3$ is $45^{\circ}$ and the measure of $\angle7$ is $40^{\circ}$.
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if m∠1 is 120°, what is the measure of m∠3? question 2 if m∠8 is 30°, w…
$60^{\circ}$
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question 1 - 13 miranda uses 80 feet of fencing to build a rectangular …
$x = 40\pm2\sqrt{170}$