Congruence and Triangle Angles

What does it mean for two figures to be congruent?

• Two figures are congruent if they have different shapes and sizes.

• Two figures are congruent if they have the same shape and size.

• Two figures are congruent if they have the same size but different shapes.

• Two figures are congruent if they have the same shape but different sizes.

Tags

CCSS.8.G.A.2

State the properties of congruent figures.

• Same shape but different size

• Different shape and size

• Same size but different shape

• Same shape and size

Tags

CCSS.8.G.A.2

If two lines are parallel, what can you say about the alternate interior angles?

• The alternate interior angles are supplementary.

• The alternate interior angles are equal.

• The alternate interior angles are perpendicular.

• The alternate interior angles are congruent.

Tags

CCSS.8.G.A.5

What is the sum of the angles in a triangle?

• 360

• 180

• 270

• 90

Tags

CCSS.8.G.A.5

If two angles in a triangle are 45° and 60°, what is the measure of the third angle?

• 75°

• 30°

• 120°

• 90°

Tags

CCSS.8.G.A.5

Are all equilateral triangles congruent? Why or why not?

• No, because congruence depends on both sides and angles being equal.

• No, because congruence depends on both sides and angles being equal.

• No, because congruence depends on both sides and angles being equal.

• Yes

Tags

CCSS.8.G.A.2

If two triangles have all three sides congruent, can we conclude that they are congruent? Why or why not?

• Yes, because all three sides are congruent.

• Yes, because congruent sides imply congruent triangles.

• No, because congruent sides do not guarantee congruent triangles in all cases.

• No

Tags

CCSS.8.G.A.2

If two triangles have two angles congruent, can we conclude that they are congruent? Why or why not?

• Yes, because two congruent angles guarantee that the triangles have the same shape.

• No

• Yes, because two congruent angles imply congruence of the triangles.

• Yes, because two congruent angles are sufficient to determine congruence.

Tags

CCSS.8.G.A.2

If two triangles have two sides and the included angle congruent, can we conclude that they are congruent? Why or why not?

• Yes, because two sides and the included angle are enough to determine congruence.

• Yes, because congruent triangles have two sides and the included angle congruent.

• No

• No, because congruence of triangles cannot be determined solely by two sides and the included angle.

Tags

CCSS.HSG.SRT.B.5

If two triangles have two sides and a non-included angle congruent, can we conclude that they are congruent? Why or why not?

• No

• Yes, because two sides and a non-included angle guarantee congruence of triangles.

• Yes, because two sides and a non-included angle always result in congruent triangles.

• Yes, because two sides and a non-included angle determine a unique triangle.

Tags

CCSS.8.G.A.2