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SAT Math: Practice Questions-Additional topics in math-Congruence and similarity

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SAT Math Practice Questions-All Topics

Question

Triangle ABC and Triangle DEF each have an angle measuring 29° and an angle measuring 54°, as shown above. Which of the following statements is sufficient to prove triangle ABC is congruent to triangle DEF ? 

  1. The length of \overline{EF} is 10.
  2. The measure of angle EDF is 97°.
  3. The length of \overline{BC} is equal to the length of \overline{EF}.
  4. The measure of angle BAC is equal to the measure of angle EDF.
Answer/Explanation

Ans: C

Question

In triangle \(ABC\) above, side \(\bar{AC}\) is extended to point \(D\). What is the value of \(y-x\)?

  1. 40
  2. 75
  3. 100
  4. 140
Answer/Explanation

Ans: C

Question

In triangle \(ABC\), angle \(A\) measures 48°, angle \(B\) measures 88°, and angle \(C\) measures 44°. Triangle \(ABC\) is similar to triangle \(LMN\), such that \(\frac{LM}{AB}=\frac{MN}{BC}=\frac{LN}{AC}=3\). What is the measure, in degrees, of angle \(L\) ? 

Answer/Explanation

Ans: 48

Question

In the figure above, line \(l\). is parallel to line \(m\). If \(x = 40\), what is the measure of ∠DEF ? 

  1. 140°
  2. 100°
  3. 80°
  4. 50°
Answer/Explanation

Ans: B

Question

In the figure above, \(\bar {BC}\) and \(\bar {AD}\) are parallel, \(\bar {AB}\) and \(\bar {EC}\) are parallel, \(CD=CE\), and the measure of ∠\(ABC\) is 115°. What is the measure of the  ∠\(BCD\)? 

  1. 85°
  2. 115°
  3. 125°
  4. 140°
Answer/Explanation

Ans: B

Question

In the figure above, \(BC\) = 5, and the length of line segment \(AD\) is half the length of line segment \(CD\). What is the length of line segment \(DE\) ? 

  1. \(\frac{2}{5}\)
  2. \(\frac{3}{5}\)
  3. \(\frac{5}{3}\)
  4. \(\frac{5}{2}\)
Answer/Explanation

Ans: C

More SAT Math Practice Questions.............
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