Question: Which pair of triangles is congruent by the SAS postulate?



A ) Figure 1
B ) Figure 3
C ) Figure 4
D ) Figure 2

Steps to derive

1 If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
 [SAS postulate.]

2 Pair of triangles in the figure 3 represents side-angle-side property.



Hence the right answer is Option B

Click Here To Go Back


Explore Related Questions

  • Graph y = 2x2, y = 2x2 + 3, and y = 2x2 - 2 on the same coordinate plane...
  • Which one of the following is true based on the graph shown?..
  • Which one of the following is true for the graph shown?..
  • Katie says without drawing the graph of y = - 2x2 + 4, we can find out if its vertex is ab..
  • Find the image of the point marked on the graph...
  • Bus #R5711 runs every 35 minutes to Sam's college. If he arrives at the bus stop at a rand..
  • Bus #R5711 runs every 35 minutes to Sam's college. If he arrives at the bus stop at a rand..
  • At a carnival you can win prizes if you throw a dart into the circular regions marked 1, 2..
  • A dartboard as shown is used in a carnival game. Find the ratio of the probabilities of th..
  • A dartboard is shown in the figure. Find the probability of hitting the shaded region. Giv..
  • A coin is tossed on a square board. The diameter of the coin is 1 / 2 in. To win a pri..
  • In a game, a target is moving randomly on a vertical screen of length 8 m and height 9 m. ..
  • Find α...
  • Find the value of x if a = 60 and b = 50...
  • Find the measure of ∠x if a = 70 and b = 50...
  • Which of the following is a right triangle?..
  • Find the value of x from the figure...
  • Which of the following is an acute triangle?..
  • Find the measure of angle θ in the right triangle shown...
  • In which triangle, the congruent sides are called legs?..
  • Which triangle is symmetrical about the bisector of any of its angles?..
  • If one side of a triangle is greater than another, then the angle opposite to the greater..
  • Find the value of x...
  • Find 2(x + y) from the figure...
  • Find the value of 2y + 3z...
  • Which postulate can be used to prove the triangles congruent?..
  • If the vertex angle of an isosceles triangle is 120o find the measures of the base angles..
  • Which of the following pair of triangles are congruent under the angle side angle property..
  • Identify the hypotenuse in the given triangle...
  • What is the value of z + y?..
  • In which triangle two angles are congruent?..
  • State whether the statement is true or false.'Two obtuse angles exist in a triangle '..
  • The measures of angles of ΔABC are 2x, 4x and 6x. Find the value of x...
  • The ratio of the angle measures in a triangle is 1 : 2 : 3. The triangle is..
  • The measures of the angles of a triangle are shown below. In which case x is an integer? C..
  • Find the value of a + b + c...
  • Which of the following statements are correct?1. If BC‾ || DE‾, then D and..
  • AB‾ || DE‾. D is the midpoint of AC‾. Find the coordinates of D an..
  • Find the point F from the figure if AB‾ || GH‾...
  • The length of one diagonal of a rhombus is twice the other. Area of the rectangle obtained..
  • Find the value of x from the figure...
  • Find the value of x from the given figure...
  • What type of triangle is formed by joining the midsegments of an equilateral triangle?..
  • Find the value of x from the figure...
  • Find the value of x from the figure...
  • Find the values of x and y from the following equilateral triangle...
  • In the given triangle if FG‾ is midsegment of ΔAED and DE‾ is the mi..
  • Find the distance between the given points A (- 5, 3) and B (2, 4)...
  • If x is the length of MN‾ which is the midsegment of ΔABC, then find the val..
  • Given a regular hexagon with one of its base as 8 cm, it was cut into co-triangles with ce..