Congruency and Similarity Statements

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

• MT

• ∠T

• ∠M

• ∠L

Given that ΔPQR ≅ Δ LJK,  PR=2x+6, JL= 10 units,  LK= 3x-6, find the measure of side PQ. 

• 12

• 10

• 2

• 30

How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?

• You cannot tell without a figure.

• You cannot tell without measurements given.

• Look at the letters in corresponding positions in the names of the triangles.

• The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.

If ∆ABC ≅ ∆XYZ, which is true?

• Segment AB ≅ Segment XY

• Segment AC ≅ Segment YX

• Segment AB ≅ Segment XZ

• Segment BC ≅ Segment CB

Use the congruence statement to find the missing part of the statement

• WV

• UW

• VU

• WB

_______ polygons have the same shape but not necessarily the same size.

If two triangles are similar, what can you say about their corresponding sides?

• Their corresponding sides are equal.

• Their corresponding sides are parallel.

• Their corresponding sides are perpendicular.

• Their corresponding sides are proportional.

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they have the same shape and the same angles

• No, the ratio of corresponding sides are not equal 

• Yes, same shape

• No, different sizes

Which three things are true about similar figures?

• Corresponding sides are proportional.

• Same size.

• Corresponding angles are congruent.

• Same shape.

Similarity

• when shapes have the same side lengths

• when two figures are the same shape and have proportional sides and congruent angles, but not always the same size

• when we plot on coordinate plane