Geometric Reasoning - TLC 2023

Geometric Reasoning: Congruent and Similar Triangles

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Which of the following statements is true about congruent triangles?

• Congruent triangles have the same shape but not necessarily the same size.

• Congruent triangles have equal corresponding sides and angles.

• Congruent triangles have proportional corresponding sides.

• Congruent triangles have different corresponding angles.

What do we call A? (hint: there is more than one answer, click all that are true)

• Side

• Angle

• Leg

• Hypotenuse

Are the triangles similar?

• Yes
• No

Find what the value of x.

• 56
• 66
• 156
• 166

Are these triangles congruent?

• Yes, by SSS
• Yes, by SAS
• Yes, by ASA
• No, this is the SSA one!!

What is the size of angle b?

If ∆LMK ≅ ∆LMT, then
MK= ____

• LM
• K
• MT
• LT

The pair of figures is similar. Find the missing side.

• x = 1
• x = 3
• x = 9
• x = 5

Angles around a point add up to...

• 360 degrees

• 180 degrees

• 540 degrees

• 90 degrees