Geometry v15
Segment 1 Study guide
Complete this review while watching the Segment 1 Review recording. Your instructor will give you directions for submitting if applicable.
https://sas.elluminate.com/p.jnlp?psid=2014-05-22.1137.M.678AFB5C130CBD406B4F58769350FB.vcr&sid=679
Slide #1
Undefined terms of Geometry:
Point= ___dimensions; a ______________________
Line= ___ dimension; a _________ of _____________
Plane=___dimensions; a _______ _____________
Theorems are ______ statements that can be _______________
Postulates are assumed _______ __without _________
Slide #2
Use your compass and straight edge to complete the construction.
Construct an angle QRX congruent to angle RQP.
Slide #3
Original Statement: If today is Monday, then tomorrow is Tuesday.
Converse Statement:
Inverse Statement:
Contrapositive Statement:
Which statement is logically equivalent to: "All dogs are mammals.“
Slide #4
Slide #5
Slide #6
Slide #7
Slide #8
(Hint: draw the triangles when not given)
Slide #9
o When both angle KMQ and MNS are equal to angle RNM, the angles KMQ and MNS are congruent.
o When consecutive interior angles QMN and PMN are complementary, the angles KMQ and MNS are congruent.
o When alternate interior angles QMN and MNR are supplementary, angles KMQ and MNS are congruent.
o When both angle KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.
Slide # 10
q Segment GF is congruent to segment EG.
q Segment GF is half the length of segment EB.
q Segment GD is congruent to segment EG.
q Segment GD is half the length of segment HC.
Slide #11
Determine if the rectangular tiles are similar.
Slide #12
Slide #13
Slide #14
If triangle GHI is similar to triangle JKL, which statement is true about the two triangles?
A. Segment HI is proportional to segment KL, and angles G and J are proportional.
B. Segment GH is congruent to segment JK, and angles I and L are congruent.
C. Segment HI is proportional to segment KL, and angles G and J are congruent.
D. Segment GH is congruent to segment JK, and angles I and L are proportional.
Slide #15
x:15=28:40
28:12=x:(x+15)
x+15:28 + 12
28:40=x:(x+15)
Slide #16
Slide #17