Proportional Theorem Practice

Give the appropriate theorem or postulate that can be used to prove the triangles similar:

• AA Postulate

• ASA Postulate

• SSS Postulate

• SAS Postulate

Tags

CCSS.HSG.SRT.A.2

Which conclusion does the diagram support?

• UV/VW=ZY/YX

• VY/WX=UZ/VY

• UZ=1/2 WX

• VY=1/2 WX

Tags

CCSS.HSG.CO.C.10

• The triangles are similar based on SAS; x= 30/7 and y=28/5.

• The triangles are similar based on AA; x= 30/7 and y=28/5.

• The triangles are similar based on AA; x= 42/5 and y=20/7.

• The triangles are similar based on SAS; x= 42/5 and y=20/7.

Tags

CCSS.HSG.SRT.A.2

Give the appropriate theorem or postulate that can be used to prove the triangles similar:

• AA Postulate

• ASA Postulate

• SSS Postulate

• SAS Postulate

Tags

CCSS.HSG.SRT.B.5

• 2.0

• 4.5

• 7.5

• 8.0

Tags

CCSS.HSG.SRT.B.4

This is a proof of the statement “If a line is parallel to one side of a triangle and intersects the other two sides at distinct points, then it separates these sides into segments of proportional lengths." Which reason justifies Step 2?

• Alternate interior angles are congruent

• Alternate exterior angles are congruent

• Corresponding angles are congruent

• Vertical angles are congruent

Tags

CCSS.HSG.SRT.B.4

Which transformation results in a figure that is similar to the original figure but has a greater area?

• A dilation of triangle QRS by a scale factor of 0.25

• A dilation of triangle QRS by a scale factor of 0.5

• A dilation of triangle QRS by a scale factor of 1

• A dilation of triangle QRS by a scale factor of 2

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation center at the origin?

• 4

• 2

• 1

• 1/2

Tags

CCSS.HSG.CO.A.2

The following is a proof of the Pythagorean Theorem. Which reason justifies step 2?

• Triangle proportionality theorem.

• Corresponding sides of similar triangles are proportional.

• Corresponding sides of similar triangles are congruent.

• Triangle mid-segment theorem.

Tags

CCSS.8.G.B.8

In this figure, LN is perpendicular to KM. What additional information would a student need to prove ∆KLN~∆MLN?

• 
• 
• 
• 

Tags

CCSS.HSG.SRT.B.5