4-1 Practice

Last updated almost 3 years ago

9 questions

Required

Question 3

Draw triangle ABC after a reflection acorss line BC. Label points A', B', and C'.

Required

Question 1

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to DC?

A. A rectangle has 2 pairs of parallel sides.

B. Any 2 sides of a rectangle are congruent.

C. Congruent pirs of congruent figures are corresponding.

D. Corresponding parts of congruent figures are congruent.

Required

Question 2

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

A. AEFGH is a rectangle.

B. EFGH has 4 congruent sides.

C. Diagonal FH bisects angles EFG and EHG.

D. Diagonal FH is perpendicular to side FE.

E. Angle FEH is congruent to angle FGH.

Required

Question 3

Draw triangle ABC after a reflection acorss line BC. Label points A', B', and C'.

Required

Question 4

Triangle ACA' is a(n) _______ triangle, because _______.

Required

Question 5

Triangles FAD and DCE are translations of triangle ABC. Select all the statements that must be true.

A. Points B, A, and F are collinear.

B. The measure of angle BCA is the same as the measure of angle CED.

C. Line AD is parallel to line BC.

D. The measure of angle CED is the same as the measure of angle FAD.

E. The measure of angle DAC is the same as the measure of angle BCA.

F. Triangle ADC is a reflection of triangle FAD.

Required

Question 6

Explain why points D, A, and E are collinear.

Required

Question 7

Fill in the blanks to explain why line DE is parallel to line BC:
Angle DAB and angle CBA are __________ angles, made by transversal __________. Because triangle BAD is congruent to triangle ABC, angles DAB and CBA are __________. Therefore lines DE and BC must be __________.

Required

Question 8

Select any figures that are the result of a rigid transformation of quadrilateral ABCD.

FBHG

CBFE

NOCI

JDAM

DJLK

None of these

Required

Question 9

Select all of the transformations necessary to take ABCD to figure DJLK.

Translate along directed line segment AD.

Rotate around point D until B becomes L.

Reflect across line DK.

Translate along directed line segment CK.

Rotate around point K until C becomes L.

Question 1

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to DC?

A. A rectangle has 2 pairs of parallel sides.

B. Any 2 sides of a rectangle are congruent.

C. Congruent pirs of congruent figures are corresponding.

D. Corresponding parts of congruent figures are congruent.

Question 2

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

A. AEFGH is a rectangle.

B. EFGH has 4 congruent sides.

C. Diagonal FH bisects angles EFG and EHG.

D. Diagonal FH is perpendicular to side FE.

E. Angle FEH is congruent to angle FGH.

Question 4

Triangle ACA' is a(n) _______ triangle, because _______.

Question 5

Triangles FAD and DCE are translations of triangle ABC. Select all the statements that must be true.

A. Points B, A, and F are collinear.

B. The measure of angle BCA is the same as the measure of angle CED.

C. Line AD is parallel to line BC.

D. The measure of angle CED is the same as the measure of angle FAD.

E. The measure of angle DAC is the same as the measure of angle BCA.

F. Triangle ADC is a reflection of triangle FAD.

Question 6

Explain why points D, A, and E are collinear.

Question 7

Fill in the blanks to explain why line DE is parallel to line BC:
Angle DAB and angle CBA are __________ angles, made by transversal __________. Because triangle BAD is congruent to triangle ABC, angles DAB and CBA are __________. Therefore lines DE and BC must be __________.

Question 8

Select any figures that are the result of a rigid transformation of quadrilateral ABCD.

FBHG

CBFE

NOCI

JDAM

DJLK

None of these

Question 9

Select all of the transformations necessary to take ABCD to figure DJLK.

Translate along directed line segment AD.

Rotate around point D until B becomes L.

Reflect across line DK.

Translate along directed line segment CK.

Rotate around point K until C becomes L.