Download Geometry v15 Segment 1 Study guide Complete this review while

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.
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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
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When both angle KMQ and MNS are equal to angle RNM, the angles KMQ and MNS are
congruent.
When consecutive interior angles QMN and PMN are complementary, the angles KMQ and MNS
are congruent.
When alternate interior angles QMN and MNR are supplementary, angles KMQ and MNS are
congruent.
When both angle KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are
congruent.
Slide # 10
 Segment GF is congruent to segment EG.
 Segment GF is half the length of segment EB.
 Segment GD is congruent to segment EG.
 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
Angle FAB is equal to angle CEB because corresponding angles are congruent.
Angle ABF is congruent to angle CEB because vertically opposite angles are congruent.
Angle AFB is congruent to angle CEB because alternate interior angles are congruent.
Angle AFB is congruent to angle CEB because supplementary angles are congruent.
Slide #17
Triangle ABE and Triangle BEC
Triangle ABC and Triangle EBC
Triangle BCE and Triangle DCE
Triangle ACB and Triangle ECD