8.1A: Geometric Mean and Identifying Similar Right Triangles

Find the geometric mean between 23 and 21.

• $\sqrt{44}$

• $\sqrt{483}$

• 483

• 22

Find the geometric mean between 24 and 27

• $\sqrt{51}$

• $\sqrt{648}$

• 648

• 25.5

Find the geometric mean between 12 and 17

•  $\sqrt{204}$ 

•  $\sqrt{29}$ 

• 204

• 14.5

Find the geometric mean between 26 and 15

• 390

• 20.5

• $\sqrt{41}$

• $\sqrt{390}$

Find the geometric mean between 21 and 11

• 231

• $\sqrt{41}$

• $\sqrt{231}$

• 16

Write a similarity statement identifying the three similar triangles in the figure

Write a similarity statement identifying the three similar triangles in the figure.

• $\Delta LJK\sim\Delta LMK\sim\Delta JML$
  

• $ΔJLK∼ΔLMK∼ΔJML$

• $\Delta JLK\sim\Delta LMK\sim\Delta LMJ$

• $\Delta LJK\sim\Delta KML\sim\Delta JML$

Write a similarity statement identifying the three similar triangles in the figure.

• $\Delta CAB\sim\Delta CDB\sim\Delta ADC$
  

• $\Delta ACB\sim\Delta BDC\sim\Delta ADC$

• $ΔACB∼ΔCDB∼ΔADC$

• $\Delta ACB\sim\Delta CDB\sim\Delta CDA$

Write a similarity statement identifying the three similar triangles in the figure.

• $\Delta MNL\sim\Delta NPL\sim\Delta MPN$
  

• $\Delta MNL\sim\Delta LPN\sim\Delta MPN$

• $\Delta MNL\sim\Delta NPL\sim\Delta NPM$

• $\Delta NML\sim\Delta NPL\sim\Delta MPN$

Write a similarity statement identifying the three similar triangles in the figure.

• $\Delta FGE\sim\Delta GHF\sim\Delta EHG$
  

• $\Delta EGF\sim\Delta FHG\sim\Delta EHG$
  

• $\Delta EGF\sim\Delta GHF\sim\Delta GHE$
  

• $\Delta EGF\sim\Delta GHF\sim\Delta EHG$