几何
三角形、圆、解析几何与证明题。
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ze is the angle bisector of ∠yex and the perpendicular bisector of (ove…
\(\text{Point }A\text{ is the center of the circle that passes through points }E,F\text{ and }G\text{ and the center of the circle that passes through points }X,Y\text{ and }Z\)
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understanding and patterns enhances our appreciation of beauty and deep…
1. symmetry 2. line 3. rotational 4. rotation
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suppose we wish to construct, using compass and straightedge, angle dae…
A. Place the compass point at B.
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which line segment is drawn in the figure? ○ (overline{yz}) ○ (overline…
$\overline{WZ}$
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identify the statements that when combined give the steps to construct …
A, C, E
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in triangle dfe, kj = 50 units. what is the length of segment ek? 25 un…
100 units
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identify the statements that when combined give the steps to construct …
A, C, E
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x > - 4\) For the number line: Place an open circle at \(-4\) (since the inequality is \(>\) and not \(\geq\)) and draw an arrow to the right.
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cross hatching refers to: a) a technique used to indicate value shifts …
E. A and B
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jace is making a water play table from a triangular table top. he sketc…
He should bisect each of the angles at the vertices of the triangular table top.
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could \\( \\triangle a b c \\) be congruent to \\( \\triangle a d c \\)…
Yes, but only if \(\overline{BC}\cong\overline{DC}\)
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which statement can be concluded using the true statements? if a quadri…
"Si un cuadrilátero tiene 4 lados iguales y 4 ángulos iguales, entonces cada uno de sus ángulos mide 90 grados" (primera opción).
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a regular decagon has 10 sides how many reflectional symmetries does a …
10
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point z is the circumcenter of \\( \\triangle tuv \\). what is \\( m\\a…
\( 32.8^{\circ} \)
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use the ruler to measure the length of \\( \\overline { r s } \\) to th…
18
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rectangle abcd is the image of rectangle abcd after it has been transla…
\((-1,-2)\), \((-1,1)\)
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11. math on the spot suppose the cost in dollars of producing x model k…
Marla made an error in combining the \(x^{2}\) terms. The correct answer is \(x^{3}+2x^{2}-10x + 9\)
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9. ( p(-9,-4), q(-7,-1), r(-2,5), s(-6,-1) ) ( overline{p q} ) and ( ov…
parallel, \(\frac{3}{2}\), \(\frac{3}{2}\)
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given: \\( \\angle ghd \\) and \\( \\angle edh \\) are right; \\( \\ove…
\(\triangle GHD\cong\triangle EDH\) por \(SAS\)
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11. math on the spot suppose the cost in dollars of producing x model k…
The polynomial expression for profit is \(P(x)=-0.00005x^{2}+28x - 500000\) and when \(x = 300000\), the profit is \(3400000\) dollars.
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each trapezoid in the figure below is congruent to trapezoid abdc what …
# Explanation: ## Step1: Identificar los lados congruentes Debido a que los trapecios son congruentes, \(AC = 3\,\text{cm}\), \(CE=4\,\text{cm}\), \(EF = 6\,\text{cm}\), \(FG = 3\…
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triangle abc is congruent to triangle xyz. in \\( \\triangle abc \\), \…
36 cm
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two rigid transformations are used to map \\( \\triangle abc \\) to \\(…
a rotation about point A
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what is the missing reason in the proof? 1. \\( \\angle egf \\cong \\an…
ASA
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given: \\( \\overline{rs} \\) bisects \\( \\angle mrq \\); \\( \\angle …
\( \triangle RMS\cong\triangle RQS \) by AAS.
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the triangles are congruent by the sss congruence theorem. which rigid …
translation, then reflection
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the proof that \\( \\triangle mng \\cong \\triangle kjg \\) is shown. g…
AAS
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two triangles are considered congruent if they have: a. one equal angle…
C. Three equal sides
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two rigid transformations are used to map △abc to △qrs the first is a t…
a rotation about point C
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the proof that ( \triangle qpt cong \triangle qrt ) is shown given: ( o…
definición de perpendicular bisector
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is there a series of rigid transformations that could map (\triangle qr…
Yes, \( \triangle QRS \) can be translated so that \( Q \) is mapped to \( A \) and then reflected across the line containing \( \overline{QS} \).
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the principle that figures with the same shape but different sizes are …
B. Similar
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quadrilateral abcd is translated down and left to form quadrilateral ol…
6 units
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in \\( \\triangle xyz, m\\angle x = 90^{\\circ} \\) and \\( m\\angle y …
No congruency statement can be made because the side lengths are unknown.
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which criterion for triangle congruence involves two sides and the incl…
A. SAS
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triangle def is congruent to △ghj by the sss theorem. which rigid trans…
reflection
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22 a rhombus is graphed on the set of axes below. which transformation …
(2) a rotation of \(180^{\circ}\) about point \((1,0)\)
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criteria for determining triangle similarity include: a. sss (side-side…
a. SSS (Side - Side - Side), b. AA (Angle - Angle), d. SAS (Side - Angle - Side)
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could \\( \\triangle jkl \\) be congruent to \\( \\triangle xyz \\)? ex…
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.
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two sides and the non - included right angle of one right triangle are …
A. AAS
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which principle ensures two shapes have the exact same size and shape? …
d. Congruence
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which congruence theorem can be used to prove \\( \\triangle wxs \\cong…
ASA
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three quadnlaterals exist such that g h j k ≅ a s d f and g h j k ≅ v b…
\(\overline{KJ}\)
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how can a translation and a reflection be used to map \\( \\triangle h …
Translate \( K \) to \( N \) and reflect across the line containing \( \overline{JK} \)
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is \\( \\triangle mnl \\cong \\triangle qnl \\)? why or why not? yes, t…
Yes, they are congruent by either ASA or AAS.
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what additional information is needed to prove that the triangles are c…
\(\angle LOA\cong\angle LMA\)
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in the diagram, ( angle j cong angle m ) and ( overline{jl} cong overli…
\(\overline{JK}\cong\overline{MN}\)
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undefined geometric terms consider the figure shown. name a line contai…
For the first question: D. All Correct For the second question: C. \(B\)
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which statements can be used to describe an angle? a consisting of two …
C. Has a common endpoint called a vertex; D. Two rays diverging from a common point.
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geometric definitions iv consider the figure shown. which line is skewe…
1. C. \(CG\) 2. C. plane \(ADHE\)
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which shapes distance around the outer edge is 2πr? a circle b triangle…
A. circle
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defined by a finite length with an infinite number of points between tw…
B. line segment
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what are all points between two given points, including the two points?…
B. line segment
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if two distinct lines intersect, which is not necessarily true? a the l…
B. The lines are perpendicular.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\leq - 3\) For the number - line: Place a closed circle at \(-3\) (because the inequality is \(\leq\)) and shade to the left of \(-3\) (since \(x\) is less…
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think about the process write an equation in terms of x that will make …
\(59\)
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think about the process write an equation in terms of x that will make …
A. \(180-(2x - 23)=95\)
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solve the inequality and graph the solution. 2 ≤ c/4 plot the endpoints…
The solution of the inequality is \(c\geq8\). On the number - line, we have a closed circle at \(8\) and a ray extending to the right.
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lines r and s are parallel. find the value of x, then find the measure …
\(m\angle2 = 53^{\circ}\)
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d s are parallel. find the value of x, then find the measure of \\( \\a…
\(m\angle1 = 53^{\circ}\)
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two triangles with the same angles are by the aa (angle - angle) criter…
similar
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statements, conditionals, and biconditionals · practice examples 1 and …
- **7.** Hypothesis: There is no struggle. Conclusion: There is no progress. - **8.** Hypothesis: Two angles are adjacent. Conclusion: They have a common side. - **9.** Hypothesis…
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if two triangles are congruent by the sss (side - side - side) postulat…
\(4\) cm
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lines r and s are parallel. find the value of x, then find the measure …
\(x=-1.8\), \(m\angle1 = 82.6^{\circ}\), \(m\angle2=97.4^{\circ}\)
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lines r and s are parallel. find the value of x, then find the measure …
\(-\frac{9}{5}\)
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two geometric figures are said to be if they have the exact same size a…
1. congruent 2. size 3. included 4. congruent
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: \(x\geq - 8\) For the number - line: Place a closed circle at \(-8\) (because the inequality is \(\geq\)) and shade to the right of \(-8\) on the number - lin…
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solve the inequality and graph the solution. z - 1 > 3 plot the endpoin…
The solution of the inequality \( z-1>3 \) is \( z>4 \). On the number line, we have an open circle at \( 4 \) and a ray extending to the right.
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7) which of the following fractions will make the number sentence true?…
B. \(7\), D. \(3 + 6\), E. \(90\)
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in the following figure, \\( \\overline { e b } \\) and and \\( \\overl…
\(x = 28\)
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7) which of the following fractions will make the number sentence true?…
B. \(7\), D. \(3 + 6\), E. \(90\)
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solve the inequality and graph the solution. \\( \\frac { p } { 2 } > 2…
The solution of the inequality is \(p>4\). On the number - line, there is an open circle at \(4\) and a ray extending to the right.
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27. find the area of a square with a diagonal of 8 cm. 12 cm² 32 cm² 16…
\(32\ cm^{2}\)
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using what you learned using vocabulary finish the paragraph use the wo…
- First paragraph: Hinduism, castes, Outcastes, reborn, Buddhism - Sentence - completion: - 1. Indus River - 2. Numbers - 3. (Assuming a more general answer based on common knowle…
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20. find the area of the parallelogram. 14 square units 24 square units…
24 square units
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find the circumference. 12 ft c = ? ft c = πd = 2πr use π = 3.14
\(37.68\)
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20. find the area of the parallelogram. 14 square units 24 square units…
24 square units
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find the circumference. c = ? m c = \\( \\pi d = 2 \\pi r \\) use \\( \…
\(25.12\)
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which line intersects two or more lines at distinct points? a. segment …
d. Transversal
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when parallel lines are cut by a transversal, what are alternate interi…
D. Equal
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given \\( \\triangle abc \\), what is \\( m\\angle b \\)? \\( m\\angle …
\(50\)
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19. the areas of two similar rectangles are 338 cm² and 72 cm². what is…
\(169:36\)
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given δabc, what is m∠c? 65° 55° m∠c = ?°
\(60\)
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given \\( \\triangle a b c \\), what is \\( m \\angle c \\)? \\( m \\an…
\(40\)
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the measures of consecutive interior angles when a transversal cuts thr…
D. Supplementary
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alternate exterior angles formed when a transversal cuts through parall…
B. Equal
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parallel lines are defined as: a. lines that are perpendicular to each …
B. Lines that never meet, regardless of how far they are extended
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18. to the nearest tenth, what is the area of the shaded segment when a…
\(10.3\mathrm{ft}^{2}\)
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the sum of the measures of consecutive interior angles when a transvers…
C. \(180^{\circ}\)
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statements reasons \\( \\angle b \\cong \\angle d \\) \\( \\overline { …
1. Vertical Angles Theorem 2. AAS (Angle - Angle - Side) 3. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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a painting measures 50 units by 40 units. what is its total area? a. 2,…
B. 2,000 square units
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two angles that sum to 90° are called: a. supplementary angles b. oppos…
C. Complementary angles
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complete the proof. given : \\( \\frac { \\angle b \\cong \\angle d } {…
$\overline{AB}\cong\overline{ED}$ is proved as shown above.
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to the nearest tenth, what is the area of the shaded region when 11. 21…
# Explanation: ## Step1: Calculate the area of the sector The formula for the area of a sector is \(A_{sector}=\frac{\theta}{360}\times\pi r^{2}\), where \(\theta = 60^{\circ}\) a…
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16. find the area of a regular hexagon whose apothem is 1.7 cm and side…
\(10.2\) \(cm^{2}\)
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15. a circle is inscribed in an equilateral triangle. a point in the fi…
about \(60\%\)
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reflect the given triangle over the y - axis. \\( \\left \\begin{array}…
The completed matrix is \(\begin{bmatrix}-3&-6&-3\\-3&3&3\end{bmatrix}\)
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rotate the given triangle ( 270 ^ { circ } ) counterclockwise about the…
\(-2\)
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4 19 cm 20 cm 15 cm
\(340\space cm^{2}\)
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lines that run in the same direction, never intersecting, are called li…
1. parallel 2. transversal 3. corresponding 4. alternate interior 5. complementary