Answer:
1) True 2) True 3) False 4) True
Step-by-step explanation:
In this question let's verify those options
1.Triangle A B C is inside triangle D E F. (true)
If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.
2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)
3. Angles D F E and A B C are right angles. (false)
These triangles are similar. And In this case, the right angles are:
[tex]E\hat{D}F\cong A\hat{C}B=90^{\circ}\\\measuredangle D=\measuredangle C=90^{\circ}[/tex]
D and C are opposed to the larger side, and not F, and B
Because:[tex]\measuredangle F\cong\measuredangle B \neq90^{\circ}[/tex]
4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)
Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.
[tex]\overline{DE}=\sqrt{FD^{2}+FE^{2}}\\\overline{DE}=\sqrt{8^{2}+6^{2}}\\10= \sqrt{100}\\10=10[/tex]
Answer:
B, C, and D, are all true
Step-by-step explanation:
Got it right on edg
