Podcast
Questions and Answers
Which geometric construction is most useful for creating an angle bisector?
Which geometric construction is most useful for creating an angle bisector?
- Constructing a median of a triangle.
- Constructing perpendicular lines.
- Constructing parallel lines.
- Constructing congruent angles. (correct)
If two angles are supplementary and one angle measures $x$ degrees, what expression represents the measure of the other angle?
If two angles are supplementary and one angle measures $x$ degrees, what expression represents the measure of the other angle?
- $x + 90$
- $90 - x$
- $180 - x$ (correct)
- $x - 180$
Which of the following conditions is sufficient to prove that two lines are parallel?
Which of the following conditions is sufficient to prove that two lines are parallel?
- Vertical angles are congruent.
- Corresponding angles are congruent. (correct)
- Alternate interior angles are supplementary.
- Adjacent angles are congruent.
In the diagram, lines $m$ and $n$ are intersected by transversal $t$. If $\angle 1$ and $\angle 2$ are same-side interior angles, what relationship between $\angle 1$ and $\angle 2$ would prove that lines $m$ and $n$ are parallel?
In the diagram, lines $m$ and $n$ are intersected by transversal $t$. If $\angle 1$ and $\angle 2$ are same-side interior angles, what relationship between $\angle 1$ and $\angle 2$ would prove that lines $m$ and $n$ are parallel?
Two lines intersect to form four angles. If one of the angles is a right angle, what can be concluded about the other three angles?
Two lines intersect to form four angles. If one of the angles is a right angle, what can be concluded about the other three angles?
If $\angle ABC$ and $\angle CBD$ form a linear pair and $m\angle ABC = 3x + 10$ and $m\angle CBD = x + 30$, find the value of $x$.
If $\angle ABC$ and $\angle CBD$ form a linear pair and $m\angle ABC = 3x + 10$ and $m\angle CBD = x + 30$, find the value of $x$.
Which statement is true regarding vertical angles?
Which statement is true regarding vertical angles?
Line $p$ is parallel to line $q$. Line $t$ is a transversal that intersects both lines. If one of the interior angles on the same side of the transversal measures 60 degrees, what is the measure of the other interior angle on the same side of the transversal?
Line $p$ is parallel to line $q$. Line $t$ is a transversal that intersects both lines. If one of the interior angles on the same side of the transversal measures 60 degrees, what is the measure of the other interior angle on the same side of the transversal?
In triangle $ABC$, $m\angle A = 50$ degrees and $m\angle B = 70$ degrees. What is the measure of the exterior angle at vertex $C$?
In triangle $ABC$, $m\angle A = 50$ degrees and $m\angle B = 70$ degrees. What is the measure of the exterior angle at vertex $C$?
If $\angle P$ and $\angle Q$ are complementary, and $m\angle P = 2x + 3$ and $m\angle Q = 3x + 7$, what is the value of $x$?
If $\angle P$ and $\angle Q$ are complementary, and $m\angle P = 2x + 3$ and $m\angle Q = 3x + 7$, what is the value of $x$?
Which of the following angle pairs are congruent when two parallel lines are cut by a transversal?
Which of the following angle pairs are congruent when two parallel lines are cut by a transversal?
If $m\angle A = (5x - 10)$ and $m\angle B = (3x + 20)$, and $\angle A$ and $\angle B$ are vertical angles, what is the measure of $\angle A$?
If $m\angle A = (5x - 10)$ and $m\angle B = (3x + 20)$, and $\angle A$ and $\angle B$ are vertical angles, what is the measure of $\angle A$?
Consider two lines cut by a transversal. If the consecutive interior angles are not supplementary, what can you conclude?
Consider two lines cut by a transversal. If the consecutive interior angles are not supplementary, what can you conclude?
Which of the following pairs of angles are both supplementary and congruent?
Which of the following pairs of angles are both supplementary and congruent?
If two parallel lines are cut by a transversal, and one of the angles formed is 105 degrees, what is the measure of its corresponding angle?
If two parallel lines are cut by a transversal, and one of the angles formed is 105 degrees, what is the measure of its corresponding angle?
$\angle 1$ and $\angle 2$ are a linear pair. $\angle 1$ is 5 times the size of $\angle 2$. What is the measure of $\angle 1$?
$\angle 1$ and $\angle 2$ are a linear pair. $\angle 1$ is 5 times the size of $\angle 2$. What is the measure of $\angle 1$?
Which statement about angle relationships is always true?
Which statement about angle relationships is always true?
If $\angle A$ is complementary to $\angle B$ and $\angle B$ is supplementary to $\angle C$, which statement must be true?
If $\angle A$ is complementary to $\angle B$ and $\angle B$ is supplementary to $\angle C$, which statement must be true?
Two angles form a linear pair. One angle is twice the measure of the other. What is the measure of the smaller angle?
Two angles form a linear pair. One angle is twice the measure of the other. What is the measure of the smaller angle?
Given $\angle 1$ and $\angle 2$ are consecutive interior angles formed by two parallel lines cut by a transversal, and $m \angle 1 = (4x + 20)$ and $m \angle 2 = (3x + 15)$, find the value of $x$.
Given $\angle 1$ and $\angle 2$ are consecutive interior angles formed by two parallel lines cut by a transversal, and $m \angle 1 = (4x + 20)$ and $m \angle 2 = (3x + 15)$, find the value of $x$.
Flashcards
Supplementary Angles
Supplementary Angles
Two angles are supplementary if the sum of their measures is 180 degrees.
Supplementary Angles Pair 1
Supplementary Angles Pair 1
∠FGA and ∠AGC are supplementary angles because they form a straight line.
Supplementary Angles Pair 2
Supplementary Angles Pair 2
∠EGA and ∠AGB are supplementary angles because they form a straight line.
Supplementary Angles Pair 3
Supplementary Angles Pair 3
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Supplementary Angles Pair 4
Supplementary Angles Pair 4
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Study Notes
Algorithmic Trading Defined
- Computer programs are used to execute trade orders.
- An algorithm dictates how trades are placed based on timing, price, quantity, or mathematical models.
- Also known as "Algo Trading" or "Black-Box Trading"
Benefits of Algorithmic Trading
- Transaction costs are reduced.
- Trade orders are executed at optimal prices.
- The chance of manual errors in trading decreases.
- The speed and accuracy of trade execution increases.
- Backtesting is leveraged.
- Emotional and psychological biases in trading are reduced.
- Ultimately leads to increased profit potential.
Trend Following Strategies
- Utilize historical data
- Used for moving averages
- Used for Price breakouts
- Used for Channel breakouts
Arbitrage Opportunities
- Capitalize on pricing inefficiencies of securities across different markets or formats.
- Profiting by purchasing a stock on one exchange while simultaneously selling it on another at a higher price.
Index Fund Rebalancing
- Adjust fund holdings to mirror the weighting of an underlying index.
- Algorithms are used to automatically rebalance fund holdings to match the index.
Mathematical Model Based Strategies
- Regression models are leveraged.
- Time Series analysis is used.
- Machine learning techniques are applied.
Execution Algorithms
- Volume Weighted Average Price (VWAP) is used.
- Time Weighted Average Price (TWAP) is used.
- Implementation Shortfall (IS) is used.
Common Tools & Platforms
- Python
- Matlab
- R
- Trading Technologies
- Bloomberg
- Refinitiv
Potential Issues of Algorithmic Trading
- Technical Glitches can occur.
- Model decay may happen over time.
- Over-optimization of strategies can be detrimental.
- Data mining bias can skew results.
- Market regime changes can affect performance.
- Regulatory risks exist.
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