Exploring Similar and Congruent Shapes

What does it mean for two shapes to be congruent?

• They are the same in shape and size.

• They are mirror images of each other.

• They can overlap perfectly when rotated.

• They have the same color.

Tags

CCSS.8.G.A.2

What symbol is used to denote congruence between two shapes?

• An equal sign with a tilde above it

• A single line

• An equal sign with a line above it

• A double line

Tags

CCSS.8.G.A.2

If two triangles are similar, what must be true about their angles?

• All angles are acute.

• The angles are all right angles.

• The angles add up to more than 180 degrees.

• Each angle in one triangle has a corresponding equal angle in the other.

Tags

CCSS.HSG.SRT.A.2

What must be true for two shapes to be considered similar?

• They must be identical.

• They must be the same color.

• They must have the same angles.

• They must have the same area.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In congruent quadrilaterals, how do corresponding sides relate?

• They are perpendicular.

• They have equal lengths.

• They are diagonally opposite.

• They are parallel.

Tags

CCSS.8.G.A.2

Which side in the second quadrilateral corresponds to side AB in the first?

• RS

• ST

• TU

• UR

Tags

CCSS.8.G.A.2

How can you find the measure of an angle using congruence?

• By using the congruence of corresponding angles.

• By adding the degrees of all angles.

• By measuring with a protractor.

• By calculating the exterior angles.

Tags

CCSS.8.G.A.5

What is the measure of angle S if it is congruent to angle K, which measures 124 degrees?

• 124 degrees

• 60 degrees

• 90 degrees

• 180 degrees

Tags

CCSS.HSG.SRT.B.5

What is the correct ratio to confirm similarity in the given TV example?

• 4 to 5

• 3 to 5

• 1 to 2

• 2 to 3

Tags

CCSS.HSG.SRT.A.2

How do you determine if two shapes are similar using side lengths?

• By comparing their perimeters.

• By checking if the ratios of corresponding sides are equal.

• By calculating their areas.

• By measuring their diagonals.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6