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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

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Using the information from the dilation in the previous question, what is the relationship between ¯A4C4 and ¯PR?
  1. A4C4=PR
  2. A4C4PR=1
  3. PRA4C4=PQA4B4
  4. PRA4C4=PQQR
Continuing Education Blends

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     pr     etzel
Continuing Education Blends

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     pr     ice
Continuing Education Blends

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     pr     incess
Continuing Education Blends

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     pr     ize
Continuing Education Blends

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     pr     ison
Continuing Education Blends

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     pr     esent
Continuing Education Blends

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     pr     une
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

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Which of the following conclusions can be reached, using the information above and the triangle theorem which states that if a line is parallel to one side of a triangle, and intersects the other two sides, then the line divides these two sides proportionally. Reminder: points B4 and Q are coincident.
  1. A4B4QP=A4C4PR
  2. B4C4QR=A4C4PR
  3. A4PA4B4=C4RB4C4
  4. QA4QC4=A4C4PR
Continuing Education Medical Practices
Which one of these is NOT a step in the 5 step EKG interpretation method?
  1. P wave configuration
  2. ST interval
  3. PR interval
  4. Rhythm
Grade 9 Literal Equations
Solve for C. P=R-CN
  1. C=PRN
  2. C=PR-N
  3. C=PN-R
  4. C=R-PN
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

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Given the previous result, it can be concluded that ¯A4C4 || ¯PR. Which of the following is the reason why?
  1. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.
  2. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel
  3. If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel
  4. If two lines are cut by a transversal and the sum of the measures of consecutive interior angles is 180°, then the lines are parallel
Continuing Education Technology
What is Econsultancy known for
  1. Providing best practice advice to the digital marketing industry
  2. Providing consultancy to the Online PR industry
  3. Providing laughs at awards ceremonies
Grade 8 Represent and Determine Probability
A standard deck of playing cards has 52 cards. There are four suits (clubs, diamonds, hearts, and spades), each of which has thirteen numbered cards (2, ..., 9, 10, Jack, Queen, King, Ace).

In the game of blackjack, each card is worth an amount of points. Each numbered card is worth its number (e.g., a 5 is worth 5 points); the Jack, Queen, and King are each worth 10 points; and the Ace is either worth your choice of either 1 point or 11 points. The object of the game is to have more points in your set of cards than your opponent without going over 21. Any set of cards that sum greater than 21 automatically loses.

Here's how the game is played. You and your opponent are each dealt two cards. Usually the first card for each player is dealt face down, and the second card for each player is dealt face up. After the initial cards are dealt, the first player has the option of asking for another card or not taking any cards. The first player can keep asking for more cards until either he or she goes over 21, in which case the player loses, or stops at some number less than or equal to 21. When the first player stops at some number less than or equal to 21, the second player then can take more cards until matching or exceeding the first player's number without going over 21, in which case the second player wins, or until going over 21, in which case the first player wins.

We're going to simplify the game a little and assume that all cards are dealt face up, so that all cards are visible. This is an easier game than the face-down one, but it makes for less complicated probability calculations!

Problems:

In all these questions, assume your opponent is dealt cards and plays first.

1) What is the chance that the first card will be a heart and a Jack?

2) What is the chance that the first card will be a heart or a Jack?

3) Given that the first card is a heart, what is the chance that it will be a Jack?

4) Given that the first card is a Jack, what is the chance that it will be a heart?

5) Your opponent is dealt a King and a 10, and you are dealt a Queen and a 8. Being smart, your opponent does not take any more cards and stays at 20. What is the chance that you will win if you are allowed to take as many cards as you need? Explain your reasoning.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

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Using the translation from the previous question, translate ΔABC by Tx units horizontally and Ty units vertically, resulting in ΔA2B2C2. The transformed point B2 is coincident with point Q. If we want point A2 to lie on line segment ¯PQ, and it does not already, which of the following transformations would ensure that it does?
  1. A reflection over the line ↔PR.
  2. A reflection about the y-axis.
  3. A rotation by some angle θ about the point Q.
  4. A rotation by some angle θ about the origin.
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

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Since only rigid transformations have been applied, ΔABC≅ΔA4B4C4. Given this, and all given information, which of the following is/are correct? There may be more than one correct answer.
  1. ∠B4A4C4≅∠A≅∠P
  2. ∠B4≅∠B≅∠Q
  3. ∠A4C4B4≅∠C≅∠R
  4. ¯AC≅¯A4C4≅¯PR
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