Congruent Triangles and Triangle Sum Theorem Flashcard

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

If one angle of a triangle is 62° and another is 53°, what is the measure of the third angle?

Back

The third angle is 65° (180° - 62° - 53°).

Tags

CCSS.8.G.A.5

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If ΔABC ≅ ΔDEF, what can we say about ∠A and ∠D?

Back

∠A = ∠D; corresponding angles of congruent triangles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the value of x if the angles of a triangle are x, 50°, and 60°?

Back

x = 70° (180° - 50° - 60°).

Tags

CCSS.8.G.A.5

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Tags

CCSS.8.G.A.2

Front

If two angles of a triangle are 45° and 55°, what is the measure of the third angle?

Back

The third angle is 80° (180° - 45° - 55°).

Tags

CCSS.8.G.A.5

Front

What is the formula to find the sum of angles in a triangle?

Back

The sum of angles in a triangle is given by the formula: Angle1 + Angle2 + Angle3 = 180°.

Tags

CCSS.8.G.A.5

Front

If ∠F = 40° in triangle ΔEFI and ΔHGI is congruent to ΔEFI, what is ∠H?

Back

∠H = 40°; corresponding angles of congruent triangles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the measure of the missing angle if two angles are 30° and 50°?

Back

The missing angle is 100° (180° - 30° - 50°).

Tags

CCSS.7.G.B.5