Questions: 19 Choose which postulate or theorem can be used to prove the triangles are congruent, or choose not possible if the triangles cannot be proven congruent. A SSS B AAS C ASA D Not possible Which of the following statements is always true? A Line that do not intersect are coplanar. B The intersection of two planes is

19 Choose which postulate or theorem can be used to prove the triangles are congruent, or choose not possible if the triangles cannot be proven congruent. A SSS B AAS C ASA D Not possible Which of the following statements is always true? A Line that do not intersect are coplanar. B The intersection of two planes is
Transcript text: 19 Choose which postulate or theorem can be used to prove the triangles are congruent, or choose not possible if the triangles cannot be proven congruent. A SSS B AAS C ASA D Not possible Which of the following statements is always true? A Line that do not intersect are coplanar. B The intersection of two planes is
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Solution

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Solution Steps

Step 1: Analyze the given image

The image shows two triangles sharing a common side. Two pairs of corresponding angles are marked congruent by the single and double dashes.

Step 2: Determine the appropriate congruence postulate

Since the triangles share a side, that side is congruent to itself by the reflexive property. Along with the two pairs of congruent angles, this gives us an Angle-Side-Angle (ASA) relationship.

Step 3: Determine the answer to question 19

The triangles are congruent by ASA.

Step 4: Analyze question 20

Statement A: Lines that do not intersect are coplanar. This is not always true. Skew lines do not intersect and are not coplanar. Statement B: The intersection of two planes is a line. This is always true.

Final Answer

  1. C
  2. B
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