Geometry w/ Data Analysis Cumulative Exam
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Geometry Cumulative Exam Review... Triangle Similarity: AA Similarity Transformations Unit Test ... Specia
81 terms 10 terms 25 terms 10 terms
cansada_ Preview satchellchamoille Preview ChanceFlowers4 Preview BRI
Triangle JKL is transformed to create triangle J'K'L'. The It can be a rigid or a nonrigid transformation depending on whether the
angles in both triangles are shown. corresponding side lengths have the same measures.
J = 90° J' = 90°
K = 65° K' = 65°
L = 25° L' = 25°
Which statement is true about this transformation?
Complete paragraph proof withe Diagram is below. corresponding parts of congruent triangles are congruent
Δ PMB ≅ Δ KMB ...........SAS congruence theorem
∴ PB ≅ KG ......corresponding parts of congruent triangles
are congruent
Step-by-step explanation:
Complete the paragraph proof.
Given: M is the midpoint of
Prove: ΔPKB is isosceles
Triangle P B K is cut by perpendicular bisector B M. Point
M is the midpoint of side P K.
It is given that M is the midpoint of and . Midpoints divide
a segment into two congruent segments, so . Since and
perpendicular lines intersect at right angles, and are right
angles. Right angles are congruent, so . The triangles
share , and the reflexive property justifies that . Therefore,
by the SAS congruence theorem. Thus, because
_____________. Finally, ΔPKB is isosceles because it has two
congruent sides.
Point S lies between points R and T on RT. 6 cm
If RT is 10 centimeters long, what is ST?
, In the diagram, the ratios of two pairs of corresponding A
sides are equal.
To prove that △LMN ~ △XYZ by the SAS similarity
theorem, it also needs to be shown that
∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y
For the volume of soap in a bottle, Ryan determined the C
margin of error as 354.85 mL to 354.95 mL. What was the
volume of soap that he measured?
If TU = 6 units, what must be true? SU + UT = RT
The triangles are congruent by the SSS congruence C
theorem.
Which rigid transformation(s) can map FGH onto VWX?
The length of a 2-inch-long thorn was measured by C
Sandrine to be 1.9 inches long. Which measurement is
more precise but less accurate than Sandrine's?
We know that angle 1 is congruent to angle 3 and that ∠1 ≅ ∠2
line a is parallel to line b because they are given. We see
that __________ by the alternate exterior angles theorem.
Therefore, angle 2 is congruent to angle 3 by the
transitive property. So, we can conclude that lines e and f
are parallel by the converse alternate exterior angles
theorem.
Which information is missing in the paragraph proof?
Is there a series of rigid transformations that could map Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so
ΔRST to ΔXYT? If so, which transformations could be that R is mapped to X.
used?
Point O is the incenter of ΔABC. 12
What is ?
5°
9°
12°
24°
(82%)
Save
Students also studied
Geometry Cumulative Exam Review... Triangle Similarity: AA Similarity Transformations Unit Test ... Specia
81 terms 10 terms 25 terms 10 terms
cansada_ Preview satchellchamoille Preview ChanceFlowers4 Preview BRI
Triangle JKL is transformed to create triangle J'K'L'. The It can be a rigid or a nonrigid transformation depending on whether the
angles in both triangles are shown. corresponding side lengths have the same measures.
J = 90° J' = 90°
K = 65° K' = 65°
L = 25° L' = 25°
Which statement is true about this transformation?
Complete paragraph proof withe Diagram is below. corresponding parts of congruent triangles are congruent
Δ PMB ≅ Δ KMB ...........SAS congruence theorem
∴ PB ≅ KG ......corresponding parts of congruent triangles
are congruent
Step-by-step explanation:
Complete the paragraph proof.
Given: M is the midpoint of
Prove: ΔPKB is isosceles
Triangle P B K is cut by perpendicular bisector B M. Point
M is the midpoint of side P K.
It is given that M is the midpoint of and . Midpoints divide
a segment into two congruent segments, so . Since and
perpendicular lines intersect at right angles, and are right
angles. Right angles are congruent, so . The triangles
share , and the reflexive property justifies that . Therefore,
by the SAS congruence theorem. Thus, because
_____________. Finally, ΔPKB is isosceles because it has two
congruent sides.
Point S lies between points R and T on RT. 6 cm
If RT is 10 centimeters long, what is ST?
, In the diagram, the ratios of two pairs of corresponding A
sides are equal.
To prove that △LMN ~ △XYZ by the SAS similarity
theorem, it also needs to be shown that
∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y
For the volume of soap in a bottle, Ryan determined the C
margin of error as 354.85 mL to 354.95 mL. What was the
volume of soap that he measured?
If TU = 6 units, what must be true? SU + UT = RT
The triangles are congruent by the SSS congruence C
theorem.
Which rigid transformation(s) can map FGH onto VWX?
The length of a 2-inch-long thorn was measured by C
Sandrine to be 1.9 inches long. Which measurement is
more precise but less accurate than Sandrine's?
We know that angle 1 is congruent to angle 3 and that ∠1 ≅ ∠2
line a is parallel to line b because they are given. We see
that __________ by the alternate exterior angles theorem.
Therefore, angle 2 is congruent to angle 3 by the
transitive property. So, we can conclude that lines e and f
are parallel by the converse alternate exterior angles
theorem.
Which information is missing in the paragraph proof?
Is there a series of rigid transformations that could map Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so
ΔRST to ΔXYT? If so, which transformations could be that R is mapped to X.
used?
Point O is the incenter of ΔABC. 12
What is ?
5°
9°
12°
24°
