then/now you identified isosceles and equilateral triangles. use properties of isosceles triangles....
TRANSCRIPT
![Page 1: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/1.jpg)
You identified isosceles and equilateral triangles.
• Use properties of isosceles triangles.
• Use properties of equilateral triangles.
![Page 2: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/2.jpg)
• legs of an isosceles triangle
• vertex angle
• base angles
![Page 3: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/3.jpg)
![Page 4: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/4.jpg)
Congruent Segments and Angles
A. Name two unmarked congruent angles.
Answer: BCA and A
BCA is opposite BA and A is opposite BC, so BCA A.
___
___
![Page 5: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/5.jpg)
Congruent Segments and Angles
B. Name two unmarked congruent segments.
Answer: BC BD
___BC is opposite D and BD is opposite BCD, so BC BD.
___
______ ___
![Page 6: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/6.jpg)
![Page 7: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/7.jpg)
Since QP = QR, QP QR. By the Isosceles Triangle Theorem, base angles P and R are congruent, so mP = mR . Use the Triangle Sum Theorem to write and solve an equation to find mR.
Find Missing Measures
A. Find mR.
Triangle Sum Theorem
mQ = 60, mP = mR
Simplify.
Subtract 60 from each side.
Divide each side by 2.Answer: mR = 60
![Page 8: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/8.jpg)
A. 30°
B. 45°
C. 60°
D. 65°
A. Find mT.
![Page 9: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/9.jpg)
A. 1.5
B. 3.5
C. 4
D. 7
B. Find TS.
![Page 10: Then/Now You identified isosceles and equilateral triangles. Use properties of isosceles triangles. Use properties of equilateral triangles](https://reader036.vdocuments.site/reader036/viewer/2022062518/56649e745503460f94b73f97/html5/thumbnails/10.jpg)
A. x = 20, y = 8
B. x = 20, y = 7
C. x = 30, y = 8
D. x = 30, y = 7
Find the value of each variable.