Study Lines Angles And Triangles in SAT Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.
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SAT Math Flashcards: Lines Angles And Triangles
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QUESTION
State the relationship between vertical angles.
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ANSWER
They are equal. Vertical angles are formed when two lines intersect and are always congruent.
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Flashcard 1: State the relationship between vertical angles.
Answer: They are equal. Vertical angles are formed when two lines intersect and are always congruent.
Flashcard 2: Find the third angle of a triangle if two angles are 45° and 55°.
Answer: 80 degrees. Triangle angles sum to 180°: 180°−45°−55°=80°.
Flashcard 3: Identify the type of triangle with angles measuring 30°, 60°, and 90°.
Answer: Special right triangle. Has angle measures in the ratio 1:2:3 or 30°:60°:90°.
Flashcard 4: Identify the type of angles that sum up to 180 degrees.
Answer: Supplementary angles. Two angles whose measures add up to 180°.
Flashcard 5: What is the measure of an angle in an equilateral triangle?
Answer: 60 degrees. Each angle in an equilateral triangle measures 180°÷3=60°.
Flashcard 6: State the formula for the area of a triangle.
Answer: 21×base×height. Multiply base by height, then divide by 2.
Flashcard 7: Identify the type of triangle with a 90° angle.
Answer: Right triangle. Contains exactly one 90° angle.
Flashcard 8: Which angle is opposite the hypotenuse in a right triangle?
Answer: The right angle (90 degrees). The largest angle is always opposite the longest side (hypotenuse).
Flashcard 9: Find the length of the hypotenuse with legs 3 and 4.
Answer: 5 units. Using Pythagorean theorem: 32+42=25=5.
Flashcard 10: Which theorem states the sum of angles in a triangle is constant?
Answer: Triangle Sum Theorem. States that interior angles of any triangle sum to 180°.
Flashcard 11: Identify the relationship between corresponding angles in parallel lines.
Answer: They are equal. When parallel lines are cut by a transversal, corresponding angles are congruent.
Flashcard 12: Identify the type of triangle with angles measuring 45°, 45°, and 90°.
Answer: Isosceles right triangle. Has two 45° angles and one 90° angle with two equal legs.
Flashcard 13: Find the missing angle if two angles of a triangle are 70° and 50°.
Answer: 60 degrees. Triangle angles sum to 180°: 180°−70°−50°=60°.
Flashcard 14: What is the term for a straight path extending infinitely in both directions?
Answer: Line. Has no endpoints and extends infinitely in both directions.
Flashcard 15: Identify the formula for the area of a triangle.
Answer: Area = 21×base×height. Multiply base by height, then divide by 2 for triangle area.
Flashcard 16: What is the definition of a right triangle?
Answer: A triangle with one 90-degree angle. The right angle distinguishes it from acute and obtuse triangles.
Flashcard 17: Find the value of x if two angles of a triangle are 50° and 60°.
Answer: x=70 degrees. Triangle angles sum to 180°: 50°+60°+x=180°.
Flashcard 18: Identify the property of vertically opposite angles.
Answer: They are equal. Angles formed by intersecting lines across from each other are congruent.
Flashcard 19: Which type of triangle has all equal sides?
Answer: Equilateral triangle. All three sides congruent means all angles are 60° each.
Flashcard 20: What is the definition of an isosceles triangle?
Answer: A triangle with two equal sides. Two equal sides create two equal base angles in the triangle.
Flashcard 21: What is the sum of the interior angles of a triangle?
Answer: 180 degrees. This is a fundamental property of all triangles in Euclidean geometry.
Flashcard 22: What property do the base angles of an isosceles triangle have?
Answer: Base angles are equal. The two angles opposite the equal sides are congruent.
Flashcard 23: What is the relationship between consecutive interior angles on parallel lines?
Answer: They are supplementary. Consecutive interior angles on the same side of a transversal sum to 180°.
Flashcard 24: What is the formula for the Pythagorean theorem?
Answer: a2+b2=c2. Relates the sides of a right triangle: legs squared equal hypotenuse squared.
Flashcard 25: What property do the base angles of an isosceles triangle have?
Answer: Base angles are equal. The two angles opposite the equal sides are congruent.
Flashcard 26: What is the sum of the interior angles of a triangle?
Answer: 180 degrees. This is a fundamental property of all triangles in Euclidean geometry.
Flashcard 27: What is the Pythagorean Theorem?
Answer: a2+b2=c2. Relates the sides of a right triangle: legs squared equal hypotenuse squared.
Flashcard 28: Which type of triangle has all equal sides?
Answer: Equilateral triangle. All three sides congruent means all angles are 60° each.
Flashcard 29: What is the sum of angles in any triangle?
Answer: 180 degrees. This is a fundamental property of triangles in Euclidean geometry.
Flashcard 30: Find the missing angle in a triangle with angles 40° and 80°.
Answer: 60 degrees. Triangle angles sum to 180°: 40°+80°+x=180°.