Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
sas
geometry
included side
equal
asa triangle congruence
congruent
given
congruence
triangles
congruent
side
70
the criterion that states two triangles are congruent if two angles and the included side are congruent is called
the side located between two given angles in a triangle is called the
if two angles of a triangle are 50° and 60°, the third angle is degrees.
in the asa criterion, the s stands for
triangles that are identical in shape and size are called triangles.
the asa congruence postulate stands for angle - side - angle
in asa congruence, the included side is the side between the two angles.
asa congruence requires that the two angles and the included side of one triangle are to the corresponding angles and side of another triangle.
asa congruence is a fundamental concept used in geometry to prove the congruence of
asa congruence can be used to prove that two triangles are if they have equal angles and an equal included side.
the asa congruence theorem is often used in to determine the congruence of geometric shapes.
asa congruence is similar to congruence, where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Explanation:

• For the first blank, the ASA Triangle Congruence criterion matches the description of two angles and the included side being congruent.
• The side between two given angles is called the included side.
• The sum of angles in a triangle is \(180^{\circ}\). If two angles are \(50^{\circ}\) and \(60^{\circ}\), then \(180-(50 + 60)=70\).
• In ASA, the 'S' stands for side.
• Triangles identical in shape and size are congruent triangles.
• ASA is Angle - Side - Angle, so the blank is congruence.
• In ASA, the included side is between the two given angles.
• ASA requires the two angles and included side to be equal (congruent) to the corresponding parts of another triangle.
• ASA is used to prove congruence of triangles.
• If two triangles have equal angles and an equal included side, they are congruent.
• ASA is used in geometry to determine congruence of geometric shapes.
• ASA is similar to SAS (Side - Angle - Side) congruence.

Answer:

1. ASA Triangle Congruence
2. included side
3. 70
4. side
5. congruent
6. congruence
7. given
8. equal
9. triangles
10. congruent
11. geometry
12. SAS